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Extensions 1→N→G→Q→1 with N=C3⋊D4 and Q=C2×C4

Direct product G=N×Q with N=C3⋊D4 and Q=C2×C4
dρLabelID
C2×C4×C3⋊D496C2xC4xC3:D4192,1347

Semidirect products G=N:Q with N=C3⋊D4 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
C3⋊D4⋊1(C2×C4) = C4×D4⋊2S3φ: C2×C4/C4 → C2 ⊆ Out C3⋊D496C3:D4:1(C2xC4)192,1095
C3⋊D4⋊2(C2×C4) = C4×S3×D4φ: C2×C4/C4 → C2 ⊆ Out C3⋊D448C3:D4:2(C2xC4)192,1103
C3⋊D4⋊3(C2×C4) = C42⋊13D6φ: C2×C4/C4 → C2 ⊆ Out C3⋊D448C3:D4:3(C2xC4)192,1104
C3⋊D4⋊4(C2×C4) = C42.108D6φ: C2×C4/C4 → C2 ⊆ Out C3⋊D496C3:D4:4(C2xC4)192,1105
C3⋊D4⋊5(C2×C4) = C2×Dic3⋊4D4φ: C2×C4/C22 → C2 ⊆ Out C3⋊D496C3:D4:5(C2xC4)192,1044
C3⋊D4⋊6(C2×C4) = C42.188D6φ: C2×C4/C22 → C2 ⊆ Out C3⋊D496C3:D4:6(C2xC4)192,1081
C3⋊D4⋊7(C2×C4) = C42.91D6φ: C2×C4/C22 → C2 ⊆ Out C3⋊D496C3:D4:7(C2xC4)192,1082
C3⋊D4⋊8(C2×C4) = C4×C4○D12φ: trivial image96C3:D4:8(C2xC4)192,1033
C3⋊D4⋊9(C2×C4) = C24.35D6φ: trivial image48C3:D4:9(C2xC4)192,1045
C3⋊D4⋊10(C2×C4) = C6.82+ 1+4φ: trivial image96C3:D4:10(C2xC4)192,1063

Non-split extensions G=N.Q with N=C3⋊D4 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
C3⋊D4.1(C2×C4) = S3×C8○D4φ: C2×C4/C4 → C2 ⊆ Out C3⋊D4484C3:D4.1(C2xC4)192,1308
C3⋊D4.2(C2×C4) = M4(2)⋊28D6φ: C2×C4/C4 → C2 ⊆ Out C3⋊D4484C3:D4.2(C2xC4)192,1309
C3⋊D4.3(C2×C4) = C2×D12.C4φ: C2×C4/C22 → C2 ⊆ Out C3⋊D496C3:D4.3(C2xC4)192,1303
C3⋊D4.4(C2×C4) = M4(2)⋊26D6φ: C2×C4/C22 → C2 ⊆ Out C3⋊D4484C3:D4.4(C2xC4)192,1304
C3⋊D4.5(C2×C4) = C2×C8○D12φ: trivial image96C3:D4.5(C2xC4)192,1297

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