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Extensions 1→N→G→Q→1 with N=C4.Q8 and Q=C4

Direct product G=N×Q with N=C4.Q8 and Q=C4
dρLabelID
C4×C4.Q8128C4xC4.Q8128,506

Semidirect products G=N:Q with N=C4.Q8 and Q=C4
extensionφ:Q→Out NdρLabelID
C4.Q8⋊1C4 = C23.D8φ: C4/C1 → C4 ⊆ Out C4.Q8168+C4.Q8:1C4128,71
C4.Q8⋊2C4 = C23.2D8φ: C4/C1 → C4 ⊆ Out C4.Q8328-C4.Q8:2C4128,72
C4.Q8⋊3C4 = C23.9D8φ: C4/C2 → C2 ⊆ Out C4.Q8324C4.Q8:3C4128,116
C4.Q8⋊4C4 = C8.C42φ: C4/C2 → C2 ⊆ Out C4.Q832C4.Q8:4C4128,118
C4.Q8⋊5C4 = C8.5C42φ: C4/C2 → C2 ⊆ Out C4.Q832C4.Q8:5C4128,505
C4.Q8⋊6C4 = C8⋊C42φ: C4/C2 → C2 ⊆ Out C4.Q8128C4.Q8:6C4128,508
C4.Q8⋊7C4 = C8⋊(C4⋊C4)φ: C4/C2 → C2 ⊆ Out C4.Q8128C4.Q8:7C4128,676
C4.Q8⋊8C4 = C42.28Q8φ: C4/C2 → C2 ⊆ Out C4.Q832C4.Q8:8C4128,678
C4.Q8⋊9C4 = C4.Q8⋊9C4φ: C4/C2 → C2 ⊆ Out C4.Q8128C4.Q8:9C4128,651
C4.Q8⋊10C4 = C4.Q8⋊10C4φ: C4/C2 → C2 ⊆ Out C4.Q8128C4.Q8:10C4128,652
C4.Q8⋊11C4 = M4(2).3Q8φ: C4/C2 → C2 ⊆ Out C4.Q832C4.Q8:11C4128,654
C4.Q8⋊12C4 = C8⋊7(C4⋊C4)φ: C4/C2 → C2 ⊆ Out C4.Q8128C4.Q8:12C4128,673
C4.Q8⋊13C4 = C42.62Q8φ: C4/C2 → C2 ⊆ Out C4.Q832C4.Q8:13C4128,677
C4.Q8⋊14C4 = C8.14C42φ: trivial image32C4.Q8:14C4128,504

Non-split extensions G=N.Q with N=C4.Q8 and Q=C4
extensionφ:Q→Out NdρLabelID
C4.Q8.1C4 = C23.SD16φ: C4/C1 → C4 ⊆ Out C4.Q8168+C4.Q8.1C4128,73
C4.Q8.2C4 = C23.2SD16φ: C4/C1 → C4 ⊆ Out C4.Q8328-C4.Q8.2C4128,74
C4.Q8.3C4 = C8.11C42φ: C4/C2 → C2 ⊆ Out C4.Q832C4.Q8.3C4128,115
C4.Q8.4C4 = C8.4C42φ: C4/C2 → C2 ⊆ Out C4.Q8324C4.Q8.4C4128,121
C4.Q8.5C4 = SD16⋊C8φ: C4/C2 → C2 ⊆ Out C4.Q864C4.Q8.5C4128,310
C4.Q8.6C4 = C8⋊M4(2)φ: C4/C2 → C2 ⊆ Out C4.Q864C4.Q8.6C4128,324
C4.Q8.7C4 = C8⋊12SD16φ: C4/C2 → C2 ⊆ Out C4.Q864C4.Q8.7C4128,314
C4.Q8.8C4 = C8⋊15SD16φ: C4/C2 → C2 ⊆ Out C4.Q864C4.Q8.8C4128,315
C4.Q8.9C4 = D4.M4(2)φ: C4/C2 → C2 ⊆ Out C4.Q864C4.Q8.9C4128,317
C4.Q8.10C4 = Q8⋊2M4(2)φ: C4/C2 → C2 ⊆ Out C4.Q864C4.Q8.10C4128,320
C4.Q8.11C4 = C8⋊9SD16φ: C4/C2 → C2 ⊆ Out C4.Q864C4.Q8.11C4128,322
C4.Q8.12C4 = C8×SD16φ: trivial image64C4.Q8.12C4128,308

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