Extensions 1→N→G→Q→1 with N=C₃² and Q=C₂³⋊C₄

Direct product G=N×Q with N=C₃² and Q=C₂³⋊C₄

		d	ρ	Label	ID
C₃²×C₂³⋊C₄		72		C3^2xC2^3:C4	288,317

Semidirect products G=N:Q with N=C₃² and Q=C₂³⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊(C₂³⋊C₄) = C₆².₂D₄	φ: C₂³⋊C₄/C₂² → D₄ ⊆ Aut C₃²	24	4+	C3^2:(C2^3:C4)	288,386
C₃²⋊₂(C₂³⋊C₄) = (C₆×C₁₂)⋊C₄	φ: C₂³⋊C₄/C₂×C₄ → C₄ ⊆ Aut C₃²	24	4+	C3^2:2(C2^3:C4)	288,422
C₃²⋊₃(C₂³⋊C₄) = (C₂×C₆²)⋊C₄	φ: C₂³⋊C₄/C₂³ → C₄ ⊆ Aut C₃²	24	4	C3^2:3(C2^3:C4)	288,434
C₃²⋊₄(C₂³⋊C₄) = C₆².₃₁D₄	φ: C₂³⋊C₄/C₂³ → C₂² ⊆ Aut C₃²	24	4	C3^2:4(C2^3:C4)	288,228
C₃²⋊₅(C₂³⋊C₄) = C₆².₃₂D₄	φ: C₂³⋊C₄/C₂³ → C₂² ⊆ Aut C₃²	24	4	C3^2:5(C2^3:C4)	288,229
C₃²⋊₆(C₂³⋊C₄) = C₃×C₂³.₆D₆	φ: C₂³⋊C₄/C₂²⋊C₄ → C₂ ⊆ Aut C₃²	24	4	C3^2:6(C2^3:C4)	288,240
C₃²⋊₇(C₂³⋊C₄) = C₆².₁₁₀D₄	φ: C₂³⋊C₄/C₂²⋊C₄ → C₂ ⊆ Aut C₃²	72		C3^2:7(C2^3:C4)	288,281
C₃²⋊₈(C₂³⋊C₄) = C₃×C₂³.₇D₆	φ: C₂³⋊C₄/C₂×D₄ → C₂ ⊆ Aut C₃²	24	4	C3^2:8(C2^3:C4)	288,268
C₃²⋊₉(C₂³⋊C₄) = C₆².₃₈D₄	φ: C₂³⋊C₄/C₂×D₄ → C₂ ⊆ Aut C₃²	72		C3^2:9(C2^3:C4)	288,309

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