Extensions 1→N→G→Q→1 with N=C₃² and Q=C₄×Q₈

Direct product G=N×Q with N=C₃² and Q=C₄×Q₈

		d	ρ	Label	ID
Q₈×C₃×C₁₂		288		Q8xC3xC12	288,816

Semidirect products G=N:Q with N=C₃² and Q=C₄×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊(C₄×Q₈) = C₄×PSU₃(𝔽₂)	φ: C₄×Q₈/C₄ → Q₈ ⊆ Aut C₃²	36	8	C3^2:(C4xQ8)	288,892
C₃²⋊₂(C₄×Q₈) = Dic₃⋊₅Dic₆	φ: C₄×Q₈/C₂×C₄ → C₂² ⊆ Aut C₃²	96		C3^2:2(C4xQ8)	288,485
C₃²⋊₃(C₄×Q₈) = C₆².₈C₂³	φ: C₄×Q₈/C₂×C₄ → C₂² ⊆ Aut C₃²	96		C3^2:3(C4xQ8)	288,486
C₃²⋊₄(C₄×Q₈) = Dic₃×Dic₆	φ: C₄×Q₈/C₂×C₄ → C₂² ⊆ Aut C₃²	96		C3^2:4(C4xQ8)	288,490
C₃²⋊₅(C₄×Q₈) = C₆².₁₃C₂³	φ: C₄×Q₈/C₂×C₄ → C₂² ⊆ Aut C₃²	96		C3^2:5(C4xQ8)	288,491
C₃²⋊₆(C₄×Q₈) = Dic₃⋊₆Dic₆	φ: C₄×Q₈/C₂×C₄ → C₂² ⊆ Aut C₃²	96		C3^2:6(C4xQ8)	288,492
C₃²⋊₇(C₄×Q₈) = C₄×C₃²⋊₂Q₈	φ: C₄×Q₈/C₂×C₄ → C₂² ⊆ Aut C₃²	96		C3^2:7(C4xQ8)	288,565
C₃²⋊₈(C₄×Q₈) = Q₈×C₃²⋊C₄	φ: C₄×Q₈/Q₈ → C₄ ⊆ Aut C₃²	48	8-	C3^2:8(C4xQ8)	288,938
C₃²⋊₉(C₄×Q₈) = C₁₂×Dic₆	φ: C₄×Q₈/C₄² → C₂ ⊆ Aut C₃²	96		C3^2:9(C4xQ8)	288,639
C₃²⋊₁₀(C₄×Q₈) = C₄×C₃²⋊₄Q₈	φ: C₄×Q₈/C₄² → C₂ ⊆ Aut C₃²	288		C3^2:10(C4xQ8)	288,725
C₃²⋊₁₁(C₄×Q₈) = C₃×Dic₆⋊C₄	φ: C₄×Q₈/C₄⋊C₄ → C₂ ⊆ Aut C₃²	96		C3^2:11(C4xQ8)	288,658
C₃²⋊₁₂(C₄×Q₈) = C₆².₂₃₁C₂³	φ: C₄×Q₈/C₄⋊C₄ → C₂ ⊆ Aut C₃²	288		C3^2:12(C4xQ8)	288,744
C₃²⋊₁₃(C₄×Q₈) = C₃×Q₈×Dic₃	φ: C₄×Q₈/C₂×Q₈ → C₂ ⊆ Aut C₃²	96		C3^2:13(C4xQ8)	288,716
C₃²⋊₁₄(C₄×Q₈) = Q₈×C₃⋊Dic₃	φ: C₄×Q₈/C₂×Q₈ → C₂ ⊆ Aut C₃²	288		C3^2:14(C4xQ8)	288,802

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