Extensions 1→N→G→Q→1 with N=C4○D4 and Q=C8

Direct product G=N×Q with N=C4○D4 and Q=C8
dρLabelID
C8×C4○D464C8xC4oD4128,1696

Semidirect products G=N:Q with N=C4○D4 and Q=C8
extensionφ:Q→Out NdρLabelID
C4○D41C8 = C42.455D4φ: C8/C4C2 ⊆ Out C4○D464C4oD4:1C8128,208
C4○D42C8 = C42.397D4φ: C8/C4C2 ⊆ Out C4○D464C4oD4:2C8128,209
C4○D43C8 = C42.697C23φ: C8/C4C2 ⊆ Out C4○D464C4oD4:3C8128,1720

Non-split extensions G=N.Q with N=C4○D4 and Q=C8
extensionφ:Q→Out NdρLabelID
C4○D4.1C8 = D4.C16φ: C8/C4C2 ⊆ Out C4○D4642C4oD4.1C8128,133
C4○D4.2C8 = C2×D4.C8φ: C8/C4C2 ⊆ Out C4○D464C4oD4.2C8128,848
C4○D4.3C8 = M5(2)⋊12C22φ: C8/C4C2 ⊆ Out C4○D4324C4oD4.3C8128,849
C4○D4.4C8 = Q8○M5(2)φ: C8/C4C2 ⊆ Out C4○D4324C4oD4.4C8128,2139
C4○D4.5C8 = D4○C32φ: trivial image642C4oD4.5C8128,990
C4○D4.6C8 = C2×D4○C16φ: trivial image64C4oD4.6C8128,2138

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