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Extensions 1→N→G→Q→1 with N=C6.D4 and Q=C4

Direct product G=N×Q with N=C6.D4 and Q=C4
dρLabelID
C4×C6.D496C4xC6.D4192,768

Semidirect products G=N:Q with N=C6.D4 and Q=C4
extensionφ:Q→Out NdρLabelID
C6.D4⋊1C4 = C3⋊C2≀C4φ: C4/C1 → C4 ⊆ Out C6.D4248+C6.D4:1C4192,30
C6.D4⋊2C4 = (C2×D4).D6φ: C4/C1 → C4 ⊆ Out C6.D4488-C6.D4:2C4192,31
C6.D4⋊3C4 = C23.3D12φ: C4/C1 → C4 ⊆ Out C6.D4248+C6.D4:3C4192,34
C6.D4⋊4C4 = C23.4D12φ: C4/C1 → C4 ⊆ Out C6.D4488-C6.D4:4C4192,35
C6.D4⋊5C4 = C24.12D6φ: C4/C2 → C2 ⊆ Out C6.D448C6.D4:5C4192,85
C6.D4⋊6C4 = C24.13D6φ: C4/C2 → C2 ⊆ Out C6.D448C6.D4:6C4192,86
C6.D4⋊7C4 = Dic3×C22⋊C4φ: C4/C2 → C2 ⊆ Out C6.D496C6.D4:7C4192,500
C6.D4⋊8C4 = C24.14D6φ: C4/C2 → C2 ⊆ Out C6.D496C6.D4:8C4192,503
C6.D4⋊9C4 = C24.15D6φ: C4/C2 → C2 ⊆ Out C6.D496C6.D4:9C4192,504
C6.D4⋊10C4 = C24.57D6φ: C4/C2 → C2 ⊆ Out C6.D496C6.D4:10C4192,505
C6.D4⋊11C4 = C24.73D6φ: C4/C2 → C2 ⊆ Out C6.D496C6.D4:11C4192,769

Non-split extensions G=N.Q with N=C6.D4 and Q=C4
extensionφ:Q→Out NdρLabelID
C6.D4.1C4 = (C2×C24)⋊C4φ: C4/C2 → C2 ⊆ Out C6.D4484C6.D4.1C4192,115
C6.D4.2C4 = M4(2)⋊4Dic3φ: C4/C2 → C2 ⊆ Out C6.D4484C6.D4.2C4192,118
C6.D4.3C4 = C24⋊C4⋊C2φ: C4/C2 → C2 ⊆ Out C6.D496C6.D4.3C4192,279
C6.D4.4C4 = C3⋊D4⋊C8φ: C4/C2 → C2 ⊆ Out C6.D496C6.D4.4C4192,284
C6.D4.5C4 = D6⋊2M4(2)φ: C4/C2 → C2 ⊆ Out C6.D496C6.D4.5C4192,287
C6.D4.6C4 = Dic3⋊M4(2)φ: C4/C2 → C2 ⊆ Out C6.D496C6.D4.6C4192,288
C6.D4.7C4 = C3⋊C8⋊26D4φ: C4/C2 → C2 ⊆ Out C6.D496C6.D4.7C4192,289
C6.D4.8C4 = Dic3⋊C8⋊C2φ: C4/C2 → C2 ⊆ Out C6.D496C6.D4.8C4192,661
C6.D4.9C4 = C24⋊33D4φ: C4/C2 → C2 ⊆ Out C6.D496C6.D4.9C4192,670
C6.D4.10C4 = C12.88(C2×Q8)φ: C4/C2 → C2 ⊆ Out C6.D496C6.D4.10C4192,678
C6.D4.11C4 = C12.7C42φ: C4/C2 → C2 ⊆ Out C6.D496C6.D4.11C4192,681
C6.D4.12C4 = C24⋊D4φ: C4/C2 → C2 ⊆ Out C6.D496C6.D4.12C4192,686
C6.D4.13C4 = C24⋊21D4φ: C4/C2 → C2 ⊆ Out C6.D496C6.D4.13C4192,687
C6.D4.14C4 = C12.12C42φ: trivial image96C6.D4.14C4192,660
C6.D4.15C4 = C8×C3⋊D4φ: trivial image96C6.D4.15C4192,668

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