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Nonisomorphic simply connected DHO of rank 5

An excerpt of the simply connected DHO of rank 5 from the table of non-isomorphic DHO of rank 5. This surely does not classify all simply connected DHO of rank 5.

Nonisomorphic simply connected DHO rank=5, dim(U)=10

ID GAP_id |Aut| dim(P) splitting bilinear remark
14 r5_d10_14 32 9 1 1
16 r5_d10_16 32 9 1 1
20 r5_d10_20 32 9 1 1
25 r5_d10_25 32 9 1 1
29 r5_d10_29 160 9 1 1
32 r5_d10_32 128 9 1 1
39 r5_d10_39 128 9 1 1
40 r5_d10_40 128 9 1 1
41 r5_d10_41 128 9 1 1
42 r5_d10_42 128 9 1 1
44 r5_d10_44 128 9 1 1
45 r5_d10_45 128 9 1 1
46 r5_d10_46 128 9 1 1
48 r5_d10_48 128 9 1 1
49 r5_d10_49 128 9 1 1

Nonisomorphic simply connected DHO rank=5, dim(U)=11

ID GAP_id |Aut| dim(P) splitting bilinear remark
518 r5_d11_518 128 10 1 1
519 r5_d11_519 768 9 1 1
520 r5_d11_520 256 9 1 1
521 r5_d11_521 768 9 1 1
647 r5_d11_647 1920 11 1 1 related to Ex. 7.3

Nonisomorphic simply connected DHO rank=5, dim(U)=12

ID GAP_id |Aut| dim(P) splitting bilinear remark
2937 r5_d12_2937 3072 10 1 1 Extension
2939 r5_d12_2939 30720 11 1 1 Extension
2941 r5_d12_2941 3584 11 1 1 Extension
2942 r5_d12_2942 384 11 1 1

Nonisomorphic simply connected DHO rank=5, dim(U)=13

ID GAP_id |Aut| dim(P) splitting bilinear remark
121 r5_d13_121 12288 10 1 1 Extension
124 r5_d13_124 1024 12 1 1 Extension
146 r5_d13_146 2048 12 1 0 Extension
147 r5_d13_147 512 12 1 0 Extension

Nonisomorphic simply connected DHO rank=5, dim(U)=14

ID GAP_id |Aut| dim(P) splitting bilinear remark
14 r5_d14_14 6144 13 1 0 Extension
15 r5_d14_15 9216 13 1 0 Extension
16 r5_d14_16 36864 12 1 0 Extension

Nonisomorphic simply connected DHO rank=5, dim(U)=15

ID GAP_id |Aut| dim(P) splitting bilinear remark
1 r5_d15_1 319979520 10 1 1 Huybrechts
2 r5_d15_2 10321920 11 1 1 Buratti Del Fra
3 r5_d15_3 9999360 15 1 0 Veronesean
4 r5_d15_4 322560 15 1 0 Tanigushi

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