Extensions 1→N→G→Q→1 with N=C₃² and Q=C₂²⋊C₄

Direct product G=N×Q with N=C₃² and Q=C₂²⋊C₄

		d	ρ	Label	ID
C₃²×C₂²⋊C₄		72		C3^2xC2^2:C4	144,102

Semidirect products G=N:Q with N=C₃² and Q=C₂²⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊(C₂²⋊C₄) = S₃²⋊C₄	φ: C₂²⋊C₄/C₂ → D₄ ⊆ Aut C₃²	12	4+	C3^2:(C2^2:C4)	144,115
C₃²⋊₂(C₂²⋊C₄) = C₆²⋊C₄	φ: C₂²⋊C₄/C₂² → C₄ ⊆ Aut C₃²	12	4+	C3^2:2(C2^2:C4)	144,136
C₃²⋊₃(C₂²⋊C₄) = D₆⋊Dic₃	φ: C₂²⋊C₄/C₂² → C₂² ⊆ Aut C₃²	48		C3^2:3(C2^2:C4)	144,64
C₃²⋊₄(C₂²⋊C₄) = C₆.D₁₂	φ: C₂²⋊C₄/C₂² → C₂² ⊆ Aut C₃²	24		C3^2:4(C2^2:C4)	144,65
C₃²⋊₅(C₂²⋊C₄) = C₃×D₆⋊C₄	φ: C₂²⋊C₄/C₂×C₄ → C₂ ⊆ Aut C₃²	48		C3^2:5(C2^2:C4)	144,79
C₃²⋊₆(C₂²⋊C₄) = C₆.₁₁D₁₂	φ: C₂²⋊C₄/C₂×C₄ → C₂ ⊆ Aut C₃²	72		C3^2:6(C2^2:C4)	144,95
C₃²⋊₇(C₂²⋊C₄) = C₃×C₆.D₄	φ: C₂²⋊C₄/C₂³ → C₂ ⊆ Aut C₃²	24		C3^2:7(C2^2:C4)	144,84
C₃²⋊₈(C₂²⋊C₄) = C₆²⋊₅C₄	φ: C₂²⋊C₄/C₂³ → C₂ ⊆ Aut C₃²	72		C3^2:8(C2^2:C4)	144,100

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