Extensions 1→N→G→Q→1 with N=C₃² and Q=C₄⋊C₈

Direct product G=N×Q with N=C₃² and Q=C₄⋊C₈

		d	ρ	Label	ID
C₃²×C₄⋊C₈		288		C3^2xC4:C8	288,323

Semidirect products G=N:Q with N=C₃² and Q=C₄⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊₁(C₄⋊C₈) = C₄⋊F₉	φ: C₄⋊C₈/C₄ → C₈ ⊆ Aut C₃²	36	8	C3^2:1(C4:C8)	288,864
C₃²⋊₂(C₄⋊C₈) = C₃²⋊C₄⋊C₈	φ: C₄⋊C₈/C₄ → D₄ ⊆ Aut C₃²	48	4	C3^2:2(C4:C8)	288,380
C₃²⋊₃(C₄⋊C₈) = C₄.₄PSU₃(𝔽₂)	φ: C₄⋊C₈/C₄ → Q₈ ⊆ Aut C₃²	48	8	C3^2:3(C4:C8)	288,392
C₃²⋊₄(C₄⋊C₈) = (C₃×C₁₂)⋊₄C₈	φ: C₄⋊C₈/C₂×C₄ → C₄ ⊆ Aut C₃²	96		C3^2:4(C4:C8)	288,424
C₃²⋊₅(C₄⋊C₈) = C₃²⋊₅(C₄⋊C₈)	φ: C₄⋊C₈/C₂×C₄ → C₄ ⊆ Aut C₃²	96		C3^2:5(C4:C8)	288,427
C₃²⋊₆(C₄⋊C₈) = C₁₂.₈₁D₁₂	φ: C₄⋊C₈/C₂×C₄ → C₂² ⊆ Aut C₃²	96		C3^2:6(C4:C8)	288,219
C₃²⋊₇(C₄⋊C₈) = C₁₂.₁₅Dic₆	φ: C₄⋊C₈/C₂×C₄ → C₂² ⊆ Aut C₃²	96		C3^2:7(C4:C8)	288,220
C₃²⋊₈(C₄⋊C₈) = C₃×C₁₂⋊C₈	φ: C₄⋊C₈/C₄² → C₂ ⊆ Aut C₃²	96		C3^2:8(C4:C8)	288,238
C₃²⋊₉(C₄⋊C₈) = C₁₂.₅₇D₁₂	φ: C₄⋊C₈/C₄² → C₂ ⊆ Aut C₃²	288		C3^2:9(C4:C8)	288,279
C₃²⋊₁₀(C₄⋊C₈) = C₃×Dic₃⋊C₈	φ: C₄⋊C₈/C₂×C₈ → C₂ ⊆ Aut C₃²	96		C3^2:10(C4:C8)	288,248
C₃²⋊₁₁(C₄⋊C₈) = C₁₂.₃₀Dic₆	φ: C₄⋊C₈/C₂×C₈ → C₂ ⊆ Aut C₃²	288		C3^2:11(C4:C8)	288,289

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