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Extensions 1→N→G→Q→1 with N=C12.C8 and Q=C2

Direct product G=N×Q with N=C12.C8 and Q=C2
dρLabelID
C2×C12.C896C2xC12.C8192,656

Semidirect products G=N:Q with N=C12.C8 and Q=C2
extensionφ:Q→Out NdρLabelID
C12.C8⋊1C2 = D8.Dic3φ: C2/C1 → C2 ⊆ Out C12.C8484C12.C8:1C2192,122
C12.C8⋊2C2 = D8.D6φ: C2/C1 → C2 ⊆ Out C12.C8484C12.C8:2C2192,706
C12.C8⋊3C2 = C24.27C23φ: C2/C1 → C2 ⊆ Out C12.C8964C12.C8:3C2192,738
C12.C8⋊4C2 = D24⋊8C4φ: C2/C1 → C2 ⊆ Out C12.C8484C12.C8:4C2192,47
C12.C8⋊5C2 = D24.C4φ: C2/C1 → C2 ⊆ Out C12.C8484+C12.C8:5C2192,54
C12.C8⋊6C2 = Q16⋊D6φ: C2/C1 → C2 ⊆ Out C12.C8484+C12.C8:6C2192,752
C12.C8⋊7C2 = D8.9D6φ: C2/C1 → C2 ⊆ Out C12.C8964-C12.C8:7C2192,754
C12.C8⋊8C2 = D8⋊2Dic3φ: C2/C1 → C2 ⊆ Out C12.C8484C12.C8:8C2192,125
C12.C8⋊9C2 = D12.C8φ: C2/C1 → C2 ⊆ Out C12.C8962C12.C8:9C2192,67
C12.C8⋊10C2 = C8.25D12φ: C2/C1 → C2 ⊆ Out C12.C8484C12.C8:10C2192,73
C12.C8⋊11C2 = C24.D4φ: C2/C1 → C2 ⊆ Out C12.C8484C12.C8:11C2192,112
C12.C8⋊12C2 = C24.99D4φ: C2/C1 → C2 ⊆ Out C12.C8964C12.C8:12C2192,120
C12.C8⋊13C2 = S3×M5(2)φ: C2/C1 → C2 ⊆ Out C12.C8484C12.C8:13C2192,465
C12.C8⋊14C2 = C24.78C23φ: C2/C1 → C2 ⊆ Out C12.C8964C12.C8:14C2192,699
C12.C8⋊15C2 = D12.4C8φ: trivial image962C12.C8:15C2192,460

Non-split extensions G=N.Q with N=C12.C8 and Q=C2
extensionφ:Q→Out NdρLabelID
C12.C8.1C2 = Q16.Dic3φ: C2/C1 → C2 ⊆ Out C12.C8964C12.C8.1C2192,124
C12.C8.2C2 = C8.Dic6φ: C2/C1 → C2 ⊆ Out C12.C8484C12.C8.2C2192,46
C12.C8.3C2 = C24.8D4φ: C2/C1 → C2 ⊆ Out C12.C8964-C12.C8.3C2192,55
C12.C8.4C2 = C24.6Q8φ: C2/C1 → C2 ⊆ Out C12.C8484C12.C8.4C2192,53
C12.C8.5C2 = C24.1C8φ: C2/C1 → C2 ⊆ Out C12.C8482C12.C8.5C2192,22
C12.C8.6C2 = C12.15C42φ: C2/C1 → C2 ⊆ Out C12.C8484C12.C8.6C2192,25
C12.C8.7C2 = C24.97D4φ: C2/C1 → C2 ⊆ Out C12.C8484C12.C8.7C2192,70
C12.C8.8C2 = C48⋊C4φ: C2/C1 → C2 ⊆ Out C12.C8484C12.C8.8C2192,71

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