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Extensions 1→N→G→Q→1 with N=Q8 and Q=C2×C4

Direct product G=N×Q with N=Q8 and Q=C2×C4
dρLabelID
C2×C4×Q864C2xC4xQ864,197

Semidirect products G=N:Q with N=Q8 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
Q8⋊1(C2×C4) = C4×SD16φ: C2×C4/C4 → C2 ⊆ Out Q832Q8:1(C2xC4)64,119
Q8⋊2(C2×C4) = SD16⋊C4φ: C2×C4/C4 → C2 ⊆ Out Q832Q8:2(C2xC4)64,121
Q8⋊3(C2×C4) = C2×Q8⋊C4φ: C2×C4/C22 → C2 ⊆ Out Q864Q8:3(C2xC4)64,96
Q8⋊4(C2×C4) = C23.36D4φ: C2×C4/C22 → C2 ⊆ Out Q832Q8:4(C2xC4)64,98
Q8⋊5(C2×C4) = C2×C4≀C2φ: C2×C4/C22 → C2 ⊆ Out Q816Q8:5(C2xC4)64,101
Q8⋊6(C2×C4) = C4×C4○D4φ: trivial image32Q8:6(C2xC4)64,198
Q8⋊7(C2×C4) = C23.33C23φ: trivial image32Q8:7(C2xC4)64,201

Non-split extensions G=N.Q with N=Q8 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
Q8.1(C2×C4) = C4×Q16φ: C2×C4/C4 → C2 ⊆ Out Q864Q8.1(C2xC4)64,120
Q8.2(C2×C4) = Q16⋊C4φ: C2×C4/C4 → C2 ⊆ Out Q864Q8.2(C2xC4)64,122
Q8.3(C2×C4) = C8○D8φ: C2×C4/C4 → C2 ⊆ Out Q8162Q8.3(C2xC4)64,124
Q8.4(C2×C4) = C8.26D4φ: C2×C4/C4 → C2 ⊆ Out Q8164Q8.4(C2xC4)64,125
Q8.5(C2×C4) = C23.24D4φ: C2×C4/C22 → C2 ⊆ Out Q832Q8.5(C2xC4)64,97
Q8.6(C2×C4) = C23.38D4φ: C2×C4/C22 → C2 ⊆ Out Q832Q8.6(C2xC4)64,100
Q8.7(C2×C4) = C42⋊C22φ: C2×C4/C22 → C2 ⊆ Out Q8164Q8.7(C2xC4)64,102
Q8.8(C2×C4) = C23.32C23φ: trivial image32Q8.8(C2xC4)64,200
Q8.9(C2×C4) = C2×C8○D4φ: trivial image32Q8.9(C2xC4)64,248
Q8.10(C2×C4) = Q8○M4(2)φ: trivial image164Q8.10(C2xC4)64,249

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