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Extensions 1→N→G→Q→1 with N=C24.C4 and Q=C2

Direct product G=N×Q with N=C24.C4 and Q=C2
dρLabelID
C2×C24.C496C2xC24.C4192,666

Semidirect products G=N:Q with N=C24.C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C24.C4⋊1C2 = D24.1C4φ: C2/C1 → C2 ⊆ Out C24.C4962C24.C4:1C2192,69
C24.C4⋊2C2 = D8.Dic3φ: C2/C1 → C2 ⊆ Out C24.C4484C24.C4:2C2192,122
C24.C4⋊3C2 = C24.23D4φ: C2/C1 → C2 ⊆ Out C24.C4484C24.C4:3C2192,719
C24.C4⋊4C2 = C24.29D4φ: C2/C1 → C2 ⊆ Out C24.C4964C24.C4:4C2192,751
C24.C4⋊5C2 = C24.41D4φ: C2/C1 → C2 ⊆ Out C24.C4964C24.C4:5C2192,126
C24.C4⋊6C2 = S3×C8.C4φ: C2/C1 → C2 ⊆ Out C24.C4484C24.C4:6C2192,451
C24.C4⋊7C2 = M4(2).25D6φ: C2/C1 → C2 ⊆ Out C24.C4484C24.C4:7C2192,452
C24.C4⋊8C2 = D8⋊5Dic3φ: C2/C1 → C2 ⊆ Out C24.C4484C24.C4:8C2192,755
C24.C4⋊9C2 = D8⋊4Dic3φ: C2/C1 → C2 ⊆ Out C24.C4484C24.C4:9C2192,756
C24.C4⋊10C2 = C24.44D4φ: C2/C1 → C2 ⊆ Out C24.C4484C24.C4:10C2192,736
C24.C4⋊11C2 = M5(2)⋊S3φ: C2/C1 → C2 ⊆ Out C24.C4484+C24.C4:11C2192,75
C24.C4⋊12C2 = D24⋊4C4φ: C2/C1 → C2 ⊆ Out C24.C4484C24.C4:12C2192,276
C24.C4⋊13C2 = C23.9Dic6φ: C2/C1 → C2 ⊆ Out C24.C4484C24.C4:13C2192,684
C24.C4⋊14C2 = Q8.8D12φ: C2/C1 → C2 ⊆ Out C24.C4484C24.C4:14C2192,700
C24.C4⋊15C2 = Q8.9D12φ: C2/C1 → C2 ⊆ Out C24.C4484+C24.C4:15C2192,701
C24.C4⋊16C2 = Q8.10D12φ: C2/C1 → C2 ⊆ Out C24.C4964-C24.C4:16C2192,702
C24.C4⋊17C2 = D24⋊11C4φ: trivial image482C24.C4:17C2192,259

Non-split extensions G=N.Q with N=C24.C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C24.C4.1C2 = C48.C4φ: C2/C1 → C2 ⊆ Out C24.C4962C24.C4.1C2192,65
C24.C4.2C2 = Q16.Dic3φ: C2/C1 → C2 ⊆ Out C24.C4964C24.C4.2C2192,124
C24.C4.3C2 = C24.7Q8φ: C2/C1 → C2 ⊆ Out C24.C4964C24.C4.3C2192,52
C24.C4.4C2 = C8.Dic6φ: C2/C1 → C2 ⊆ Out C24.C4484C24.C4.4C2192,46
C24.C4.5C2 = C24.Q8φ: C2/C1 → C2 ⊆ Out C24.C4484C24.C4.5C2192,72
C24.C4.6C2 = C12.4D8φ: C2/C1 → C2 ⊆ Out C24.C4964-C24.C4.6C2192,76

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