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Extensions 1→N→G→Q→1 with N=C3 and Q=C3×C32⋊C6

Direct product G=N×Q with N=C3 and Q=C3×C32⋊C6
dρLabelID
C32×C32⋊C654C3^2xC3^2:C6486,222

Semidirect products G=N:Q with N=C3 and Q=C3×C32⋊C6
extensionφ:Q→Aut NdρLabelID
C3⋊(C3×C32⋊C6) = C3×He3⋊4S3φ: C3×C32⋊C6/C3×He3 → C2 ⊆ Aut C354C3:(C3xC3^2:C6)486,229

Non-split extensions G=N.Q with N=C3 and Q=C3×C32⋊C6
extensionφ:Q→Aut NdρLabelID
C3.1(C3×C32⋊C6) = C3×C32⋊D9φ: C3×C32⋊C6/C3×He3 → C2 ⊆ Aut C354C3.1(C3xC3^2:C6)486,94
C3.2(C3×C32⋊C6) = C34⋊S3φ: C3×C32⋊C6/C3×He3 → C2 ⊆ Aut C327C3.2(C3xC3^2:C6)486,103
C3.3(C3×C32⋊C6) = C34.S3φ: C3×C32⋊C6/C3×He3 → C2 ⊆ Aut C327C3.3(C3xC3^2:C6)486,105
C3.4(C3×C32⋊C6) = C3×C33⋊C6φ: C3×C32⋊C6/C3×He3 → C2 ⊆ Aut C3186C3.4(C3xC3^2:C6)486,116
C3.5(C3×C32⋊C6) = C3×He3.S3φ: C3×C32⋊C6/C3×He3 → C2 ⊆ Aut C3546C3.5(C3xC3^2:C6)486,119
C3.6(C3×C32⋊C6) = C3×He3.2S3φ: C3×C32⋊C6/C3×He3 → C2 ⊆ Aut C3546C3.6(C3xC3^2:C6)486,122
C3.7(C3×C32⋊C6) = (C3×He3)⋊C6φ: C3×C32⋊C6/C3×He3 → C2 ⊆ Aut C32718+C3.7(C3xC3^2:C6)486,127
C3.8(C3×C32⋊C6) = C9⋊S3⋊C32φ: C3×C32⋊C6/C3×He3 → C2 ⊆ Aut C32718+C3.8(C3xC3^2:C6)486,129
C3.9(C3×C32⋊C6) = He3.(C3×S3)φ: C3×C32⋊C6/C3×He3 → C2 ⊆ Aut C32718+C3.9(C3xC3^2:C6)486,131
C3.10(C3×C32⋊C6) = C3×C32⋊C18central extension (φ=1)54C3.10(C3xC3^2:C6)486,93
C3.11(C3×C32⋊C6) = C9×C32⋊C6central extension (φ=1)546C3.11(C3xC3^2:C6)486,98
C3.12(C3×C32⋊C6) = C34⋊C6central stem extension (φ=1)186C3.12(C3xC3^2:C6)486,102
C3.13(C3×C32⋊C6) = C34.C6central stem extension (φ=1)186C3.13(C3xC3^2:C6)486,104
C3.14(C3×C32⋊C6) = C9⋊He3⋊C2central stem extension (φ=1)546C3.14(C3xC3^2:C6)486,107
C3.15(C3×C32⋊C6) = C3×C3≀S3central stem extension (φ=1)27C3.15(C3xC3^2:C6)486,115
C3.16(C3×C32⋊C6) = C3×He3.C6central stem extension (φ=1)81C3.16(C3xC3^2:C6)486,118
C3.17(C3×C32⋊C6) = C3×He3.2C6central stem extension (φ=1)81C3.17(C3xC3^2:C6)486,121
C3.18(C3×C32⋊C6) = C3≀S3⋊3C3central stem extension (φ=1)273C3.18(C3xC3^2:C6)486,125
C3.19(C3×C32⋊C6) = C3≀C3⋊C6central stem extension (φ=1)279C3.19(C3xC3^2:C6)486,126
C3.20(C3×C32⋊C6) = He3.C3⋊C6central stem extension (φ=1)279C3.20(C3xC3^2:C6)486,128
C3.21(C3×C32⋊C6) = He3.(C3×C6)central stem extension (φ=1)279C3.21(C3xC3^2:C6)486,130
C3.22(C3×C32⋊C6) = C3≀C3.C6central stem extension (φ=1)279C3.22(C3xC3^2:C6)486,132

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