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Extensions 1→N→G→Q→1 with N=C2.C42 and Q=C2

Direct product G=N×Q with N=C2.C42 and Q=C2
dρLabelID
C2×C2.C4264C2xC2.C4^264,56

Semidirect products G=N:Q with N=C2.C42 and Q=C2
extensionφ:Q→Out NdρLabelID
C2.C42⋊1C2 = C23.7Q8φ: C2/C1 → C2 ⊆ Out C2.C4232C2.C4^2:1C264,61
C2.C42⋊2C2 = C23.34D4φ: C2/C1 → C2 ⊆ Out C2.C4232C2.C4^2:2C264,62
C2.C42⋊3C2 = C24.C22φ: C2/C1 → C2 ⊆ Out C2.C4232C2.C4^2:3C264,69
C2.C42⋊4C2 = C23.Q8φ: C2/C1 → C2 ⊆ Out C2.C4232C2.C4^2:4C264,77
C2.C42⋊5C2 = C23.11D4φ: C2/C1 → C2 ⊆ Out C2.C4232C2.C4^2:5C264,78
C2.C42⋊6C2 = C22.SD16φ: C2/C1 → C2 ⊆ Out C2.C4216C2.C4^2:6C264,8
C2.C42⋊7C2 = C23.8Q8φ: C2/C1 → C2 ⊆ Out C2.C4232C2.C4^2:7C264,66
C2.C42⋊8C2 = C23.23D4φ: C2/C1 → C2 ⊆ Out C2.C4232C2.C4^2:8C264,67
C2.C42⋊9C2 = C23⋊2D4φ: C2/C1 → C2 ⊆ Out C2.C4232C2.C4^2:9C264,73
C2.C42⋊10C2 = C23⋊Q8φ: C2/C1 → C2 ⊆ Out C2.C4232C2.C4^2:10C264,74
C2.C42⋊11C2 = C23.10D4φ: C2/C1 → C2 ⊆ Out C2.C4232C2.C4^2:11C264,75
C2.C42⋊12C2 = C23.4Q8φ: C2/C1 → C2 ⊆ Out C2.C4232C2.C4^2:12C264,80
C2.C42⋊13C2 = C4×C22⋊C4φ: trivial image32C2.C4^2:13C264,58

Non-split extensions G=N.Q with N=C2.C42 and Q=C2
extensionφ:Q→Out NdρLabelID
C2.C42.1C2 = C42⋊8C4φ: C2/C1 → C2 ⊆ Out C2.C4264C2.C4^2.1C264,63
C2.C42.2C2 = C42⋊5C4φ: C2/C1 → C2 ⊆ Out C2.C4264C2.C4^2.2C264,64
C2.C42.3C2 = C23.84C23φ: C2/C1 → C2 ⊆ Out C2.C4264C2.C4^2.3C264,82
C2.C42.4C2 = C23.31D4φ: C2/C1 → C2 ⊆ Out C2.C4216C2.C4^2.4C264,9
C2.C42.5C2 = C23.63C23φ: C2/C1 → C2 ⊆ Out C2.C4264C2.C4^2.5C264,68
C2.C42.6C2 = C23.65C23φ: C2/C1 → C2 ⊆ Out C2.C4264C2.C4^2.6C264,70
C2.C42.7C2 = C23.67C23φ: C2/C1 → C2 ⊆ Out C2.C4264C2.C4^2.7C264,72
C2.C42.8C2 = C23.78C23φ: C2/C1 → C2 ⊆ Out C2.C4264C2.C4^2.8C264,76
C2.C42.9C2 = C23.81C23φ: C2/C1 → C2 ⊆ Out C2.C4264C2.C4^2.9C264,79
C2.C42.10C2 = C23.83C23φ: C2/C1 → C2 ⊆ Out C2.C4264C2.C4^2.10C264,81
C2.C42.11C2 = C42⋊4C4φ: trivial image64C2.C4^2.11C264,57
C2.C42.12C2 = C4×C4⋊C4φ: trivial image64C2.C4^2.12C264,59

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