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Extensions 1→N→G→Q→1 with N=D4 and Q=C2×C4

Direct product G=N×Q with N=D4 and Q=C2×C4
dρLabelID
C2×C4×D432C2xC4xD464,196

Semidirect products G=N:Q with N=D4 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
D4⋊1(C2×C4) = C4×D8φ: C2×C4/C4 → C2 ⊆ Out D432D4:1(C2xC4)64,118
D4⋊2(C2×C4) = D8⋊C4φ: C2×C4/C4 → C2 ⊆ Out D432D4:2(C2xC4)64,123
D4⋊3(C2×C4) = C2×D4⋊C4φ: C2×C4/C22 → C2 ⊆ Out D432D4:3(C2xC4)64,95
D4⋊4(C2×C4) = C23.36D4φ: C2×C4/C22 → C2 ⊆ Out D432D4:4(C2xC4)64,98
D4⋊5(C2×C4) = C2×C4≀C2φ: C2×C4/C22 → C2 ⊆ Out D416D4:5(C2xC4)64,101
D4⋊6(C2×C4) = C4×C4○D4φ: trivial image32D4:6(C2xC4)64,198
D4⋊7(C2×C4) = C22.11C24φ: trivial image16D4:7(C2xC4)64,199
D4⋊8(C2×C4) = C23.33C23φ: trivial image32D4:8(C2xC4)64,201

Non-split extensions G=N.Q with N=D4 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
D4.1(C2×C4) = C4×SD16φ: C2×C4/C4 → C2 ⊆ Out D432D4.1(C2xC4)64,119
D4.2(C2×C4) = SD16⋊C4φ: C2×C4/C4 → C2 ⊆ Out D432D4.2(C2xC4)64,121
D4.3(C2×C4) = C8○D8φ: C2×C4/C4 → C2 ⊆ Out D4162D4.3(C2xC4)64,124
D4.4(C2×C4) = C8.26D4φ: C2×C4/C4 → C2 ⊆ Out D4164D4.4(C2xC4)64,125
D4.5(C2×C4) = C23.24D4φ: C2×C4/C22 → C2 ⊆ Out D432D4.5(C2xC4)64,97
D4.6(C2×C4) = C23.37D4φ: C2×C4/C22 → C2 ⊆ Out D416D4.6(C2xC4)64,99
D4.7(C2×C4) = C42⋊C22φ: C2×C4/C22 → C2 ⊆ Out D4164D4.7(C2xC4)64,102
D4.8(C2×C4) = C2×C8○D4φ: trivial image32D4.8(C2xC4)64,248
D4.9(C2×C4) = Q8○M4(2)φ: trivial image164D4.9(C2xC4)64,249

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