Extensions 1→N→G→Q→1 with N=Q8 and Q=D12

Direct product G=N×Q with N=Q8 and Q=D12
dρLabelID
Q8×D1296Q8xD12192,1134

Semidirect products G=N:Q with N=Q8 and Q=D12
extensionφ:Q→Out NdρLabelID
Q8⋊D12 = Q8⋊D12φ: D12/C4S3 ⊆ Out Q832Q8:D12192,952
Q82D12 = Q82D12φ: D12/C12C2 ⊆ Out Q896Q8:2D12192,586
Q83D12 = Q83D12φ: D12/D6C2 ⊆ Out Q896Q8:3D12192,365
Q84D12 = Q84D12φ: D12/D6C2 ⊆ Out Q896Q8:4D12192,369
Q85D12 = Q85D12φ: D12/D6C2 ⊆ Out Q8244+Q8:5D12192,381
Q86D12 = Q86D12φ: trivial image96Q8:6D12192,1135
Q87D12 = Q87D12φ: trivial image96Q8:7D12192,1136

Non-split extensions G=N.Q with N=Q8 and Q=D12
extensionφ:Q→Out NdρLabelID
Q8.1D12 = Q8.D12φ: D12/C4S3 ⊆ Out Q864Q8.1D12192,949
Q8.2D12 = Q8.2D12φ: D12/C4S3 ⊆ Out Q832Q8.2D12192,954
Q8.3D12 = C8.S4φ: D12/C4S3 ⊆ Out Q8644-Q8.3D12192,962
Q8.4D12 = C8.4S4φ: D12/C4S3 ⊆ Out Q8324Q8.4D12192,965
Q8.5D12 = C8.3S4φ: D12/C4S3 ⊆ Out Q8324+Q8.5D12192,966
Q8.6D12 = Q8.6D12φ: D12/C12C2 ⊆ Out Q896Q8.6D12192,587
Q8.7D12 = C127Q16φ: D12/C12C2 ⊆ Out Q8192Q8.7D12192,590
Q8.8D12 = Q8.8D12φ: D12/C12C2 ⊆ Out Q8484Q8.8D12192,700
Q8.9D12 = Q8.9D12φ: D12/C12C2 ⊆ Out Q8484+Q8.9D12192,701
Q8.10D12 = Q8.10D12φ: D12/C12C2 ⊆ Out Q8964-Q8.10D12192,702
Q8.11D12 = Q8.11D12φ: D12/D6C2 ⊆ Out Q896Q8.11D12192,367
Q8.12D12 = D6⋊Q16φ: D12/D6C2 ⊆ Out Q896Q8.12D12192,368
Q8.13D12 = C425D6φ: D12/D6C2 ⊆ Out Q8484Q8.13D12192,384
Q8.14D12 = Q8.14D12φ: D12/D6C2 ⊆ Out Q8484-Q8.14D12192,385
Q8.15D12 = D4.10D12φ: D12/D6C2 ⊆ Out Q8484Q8.15D12192,386
Q8.16D12 = D4.11D12φ: trivial image484Q8.16D12192,1310
Q8.17D12 = D4.12D12φ: trivial image484+Q8.17D12192,1311
Q8.18D12 = D4.13D12φ: trivial image964-Q8.18D12192,1312

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