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Extensions 1→N→G→Q→1 with N=C3 and Q=C33⋊S3

Direct product G=N×Q with N=C3 and Q=C33⋊S3
dρLabelID
C3×C33⋊S3186C3xC3^3:S3486,165

Semidirect products G=N:Q with N=C3 and Q=C33⋊S3
extensionφ:Q→Aut NdρLabelID
C3⋊(C33⋊S3) = C34⋊7S3φ: C33⋊S3/C3≀C3 → C2 ⊆ Aut C327C3:(C3^3:S3)486,185

Non-split extensions G=N.Q with N=C3 and Q=C33⋊S3
extensionφ:Q→Aut NdρLabelID
C3.1(C33⋊S3) = (C3×He3)⋊S3φ: C33⋊S3/C3≀C3 → C2 ⊆ Aut C381C3.1(C3^3:S3)486,43
C3.2(C33⋊S3) = (C3×He3).S3φ: C33⋊S3/C3≀C3 → C2 ⊆ Aut C381C3.2(C3^3:S3)486,44
C3.3(C33⋊S3) = C33.(C3⋊S3)φ: C33⋊S3/C3≀C3 → C2 ⊆ Aut C381C3.3(C3^3:S3)486,45
C3.4(C33⋊S3) = C32⋊C9⋊6S3φ: C33⋊S3/C3≀C3 → C2 ⊆ Aut C381C3.4(C3^3:S3)486,46
C3.5(C33⋊S3) = C3.(C33⋊S3)φ: C33⋊S3/C3≀C3 → C2 ⊆ Aut C381C3.5(C3^3:S3)486,47
C3.6(C33⋊S3) = C33⋊2D9φ: C33⋊S3/C3≀C3 → C2 ⊆ Aut C327C3.6(C3^3:S3)486,52
C3.7(C33⋊S3) = He3⋊2D9φ: C33⋊S3/C3≀C3 → C2 ⊆ Aut C381C3.7(C3^3:S3)486,56
C3.8(C33⋊S3) = 3- 1+2⋊D9φ: C33⋊S3/C3≀C3 → C2 ⊆ Aut C381C3.8(C3^3:S3)486,57

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