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Extensions 1→N→G→Q→1 with N=C6 and Q=C3⋊D4

Direct product G=N×Q with N=C6 and Q=C3⋊D4
dρLabelID
C6×C3⋊D424C6xC3:D4144,167

Semidirect products G=N:Q with N=C6 and Q=C3⋊D4
extensionφ:Q→Aut NdρLabelID
C6⋊1(C3⋊D4) = C2×C3⋊D12φ: C3⋊D4/Dic3 → C2 ⊆ Aut C624C6:1(C3:D4)144,151
C6⋊2(C3⋊D4) = C2×D6⋊S3φ: C3⋊D4/D6 → C2 ⊆ Aut C648C6:2(C3:D4)144,150
C6⋊3(C3⋊D4) = C2×C32⋊7D4φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C672C6:3(C3:D4)144,177

Non-split extensions G=N.Q with N=C6 and Q=C3⋊D4
extensionφ:Q→Aut NdρLabelID
C6.1(C3⋊D4) = C3⋊D24φ: C3⋊D4/Dic3 → C2 ⊆ Aut C6244+C6.1(C3:D4)144,57
C6.2(C3⋊D4) = D12.S3φ: C3⋊D4/Dic3 → C2 ⊆ Aut C6484-C6.2(C3:D4)144,59
C6.3(C3⋊D4) = C32⋊5SD16φ: C3⋊D4/Dic3 → C2 ⊆ Aut C6244+C6.3(C3:D4)144,60
C6.4(C3⋊D4) = C32⋊3Q16φ: C3⋊D4/Dic3 → C2 ⊆ Aut C6484-C6.4(C3:D4)144,62
C6.5(C3⋊D4) = C6.D12φ: C3⋊D4/Dic3 → C2 ⊆ Aut C624C6.5(C3:D4)144,65
C6.6(C3⋊D4) = Dic3⋊Dic3φ: C3⋊D4/Dic3 → C2 ⊆ Aut C648C6.6(C3:D4)144,66
C6.7(C3⋊D4) = C32⋊2D8φ: C3⋊D4/D6 → C2 ⊆ Aut C6484C6.7(C3:D4)144,56
C6.8(C3⋊D4) = Dic6⋊S3φ: C3⋊D4/D6 → C2 ⊆ Aut C6484C6.8(C3:D4)144,58
C6.9(C3⋊D4) = C32⋊2Q16φ: C3⋊D4/D6 → C2 ⊆ Aut C6484C6.9(C3:D4)144,61
C6.10(C3⋊D4) = D6⋊Dic3φ: C3⋊D4/D6 → C2 ⊆ Aut C648C6.10(C3:D4)144,64
C6.11(C3⋊D4) = C62.C22φ: C3⋊D4/D6 → C2 ⊆ Aut C648C6.11(C3:D4)144,67
C6.12(C3⋊D4) = Dic9⋊C4φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C6144C6.12(C3:D4)144,12
C6.13(C3⋊D4) = D18⋊C4φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C672C6.13(C3:D4)144,14
C6.14(C3⋊D4) = D4.D9φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C6724-C6.14(C3:D4)144,15
C6.15(C3⋊D4) = D4⋊D9φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C6724+C6.15(C3:D4)144,16
C6.16(C3⋊D4) = C9⋊Q16φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C61444-C6.16(C3:D4)144,17
C6.17(C3⋊D4) = Q8⋊2D9φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C6724+C6.17(C3:D4)144,18
C6.18(C3⋊D4) = C18.D4φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C672C6.18(C3:D4)144,19
C6.19(C3⋊D4) = C2×C9⋊D4φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C672C6.19(C3:D4)144,46
C6.20(C3⋊D4) = C6.Dic6φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C6144C6.20(C3:D4)144,93
C6.21(C3⋊D4) = C6.11D12φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C672C6.21(C3:D4)144,95
C6.22(C3⋊D4) = C32⋊7D8φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C672C6.22(C3:D4)144,96
C6.23(C3⋊D4) = C32⋊9SD16φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C672C6.23(C3:D4)144,97
C6.24(C3⋊D4) = C32⋊11SD16φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C672C6.24(C3:D4)144,98
C6.25(C3⋊D4) = C32⋊7Q16φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C6144C6.25(C3:D4)144,99
C6.26(C3⋊D4) = C62⋊5C4φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C672C6.26(C3:D4)144,100
C6.27(C3⋊D4) = C3×Dic3⋊C4central extension (φ=1)48C6.27(C3:D4)144,77
C6.28(C3⋊D4) = C3×D6⋊C4central extension (φ=1)48C6.28(C3:D4)144,79
C6.29(C3⋊D4) = C3×D4⋊S3central extension (φ=1)244C6.29(C3:D4)144,80
C6.30(C3⋊D4) = C3×D4.S3central extension (φ=1)244C6.30(C3:D4)144,81
C6.31(C3⋊D4) = C3×Q8⋊2S3central extension (φ=1)484C6.31(C3:D4)144,82
C6.32(C3⋊D4) = C3×C3⋊Q16central extension (φ=1)484C6.32(C3:D4)144,83
C6.33(C3⋊D4) = C3×C6.D4central extension (φ=1)24C6.33(C3:D4)144,84

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