Extensions 1→N→G→Q→1 with N=C₃² and Q=C₂²×Q₈

Direct product G=N×Q with N=C₃² and Q=C₂²×Q₈

		d	ρ	Label	ID
Q₈×C₆²		288		Q8xC6^2	288,1020

Semidirect products G=N:Q with N=C₃² and Q=C₂²×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊(C₂²×Q₈) = C₂²×PSU₃(𝔽₂)	φ: C₂²×Q₈/C₂² → Q₈ ⊆ Aut C₃²	36		C3^2:(C2^2xQ8)	288,1032
C₃²⋊₂(C₂²×Q₈) = C₂×S₃×Dic₆	φ: C₂²×Q₈/C₂×C₄ → C₂² ⊆ Aut C₃²	96		C3^2:2(C2^2xQ8)	288,942
C₃²⋊₃(C₂²×Q₈) = C₂×Dic₃.D₆	φ: C₂²×Q₈/C₂×C₄ → C₂² ⊆ Aut C₃²	48		C3^2:3(C2^2xQ8)	288,947
C₃²⋊₄(C₂²×Q₈) = S₃²×Q₈	φ: C₂²×Q₈/Q₈ → C₂² ⊆ Aut C₃²	48	8-	C3^2:4(C2^2xQ8)	288,965
C₃²⋊₅(C₂²×Q₈) = C₂²×C₃²⋊₂Q₈	φ: C₂²×Q₈/C₂³ → C₂² ⊆ Aut C₃²	96		C3^2:5(C2^2xQ8)	288,975
C₃²⋊₆(C₂²×Q₈) = C₂×C₆×Dic₆	φ: C₂²×Q₈/C₂²×C₄ → C₂ ⊆ Aut C₃²	96		C3^2:6(C2^2xQ8)	288,988
C₃²⋊₇(C₂²×Q₈) = C₂²×C₃²⋊₄Q₈	φ: C₂²×Q₈/C₂²×C₄ → C₂ ⊆ Aut C₃²	288		C3^2:7(C2^2xQ8)	288,1003
C₃²⋊₈(C₂²×Q₈) = S₃×C₆×Q₈	φ: C₂²×Q₈/C₂×Q₈ → C₂ ⊆ Aut C₃²	96		C3^2:8(C2^2xQ8)	288,995
C₃²⋊₉(C₂²×Q₈) = C₂×Q₈×C₃⋊S₃	φ: C₂²×Q₈/C₂×Q₈ → C₂ ⊆ Aut C₃²	144		C3^2:9(C2^2xQ8)	288,1010

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