Extensions 1→N→G→Q→1 with N=D6 and Q=C2×C4

Direct product G=N×Q with N=D6 and Q=C2×C4
dρLabelID
S3×C22×C448S3xC2^2xC496,206

Semidirect products G=N:Q with N=D6 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
D61(C2×C4) = C4×D12φ: C2×C4/C4C2 ⊆ Out D648D6:1(C2xC4)96,80
D62(C2×C4) = Dic34D4φ: C2×C4/C4C2 ⊆ Out D648D6:2(C2xC4)96,88
D63(C2×C4) = Dic35D4φ: C2×C4/C4C2 ⊆ Out D648D6:3(C2xC4)96,100
D64(C2×C4) = C4×C3⋊D4φ: C2×C4/C4C2 ⊆ Out D648D6:4(C2xC4)96,135
D65(C2×C4) = S3×C22⋊C4φ: C2×C4/C22C2 ⊆ Out D624D6:5(C2xC4)96,87
D66(C2×C4) = C2×D6⋊C4φ: C2×C4/C22C2 ⊆ Out D648D6:6(C2xC4)96,134

Non-split extensions G=N.Q with N=D6 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
D6.1(C2×C4) = C8○D12φ: C2×C4/C4C2 ⊆ Out D6482D6.1(C2xC4)96,108
D6.2(C2×C4) = D12.C4φ: C2×C4/C4C2 ⊆ Out D6484D6.2(C2xC4)96,114
D6.3(C2×C4) = C422S3φ: C2×C4/C22C2 ⊆ Out D648D6.3(C2xC4)96,79
D6.4(C2×C4) = C4⋊C47S3φ: C2×C4/C22C2 ⊆ Out D648D6.4(C2xC4)96,99
D6.5(C2×C4) = C2×C8⋊S3φ: C2×C4/C22C2 ⊆ Out D648D6.5(C2xC4)96,107
D6.6(C2×C4) = S3×M4(2)φ: C2×C4/C22C2 ⊆ Out D6244D6.6(C2xC4)96,113
D6.7(C2×C4) = S3×C42φ: trivial image48D6.7(C2xC4)96,78
D6.8(C2×C4) = S3×C4⋊C4φ: trivial image48D6.8(C2xC4)96,98
D6.9(C2×C4) = S3×C2×C8φ: trivial image48D6.9(C2xC4)96,106

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