Extensions 1→N→G→Q→1 with N=C₂² and Q=Q₈×C₉

Direct product G=N×Q with N=C₂² and Q=Q₈×C₉

		d	ρ	Label	ID
Q₈×C₂×C₁₈		288		Q8xC2xC18	288,369

Semidirect products G=N:Q with N=C₂² and Q=Q₈×C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(Q₈×C₉) = Q₈×C₃.A₄	φ: Q₈×C₉/C₃×Q₈ → C₃ ⊆ Aut C₂²	72	6	C2^2:(Q8xC9)	288,346
C₂²⋊₂(Q₈×C₉) = C₉×C₂²⋊Q₈	φ: Q₈×C₉/C₃₆ → C₂ ⊆ Aut C₂²	144		C2^2:2(Q8xC9)	288,172

Non-split extensions G=N.Q with N=C₂² and Q=Q₈×C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(Q₈×C₉) = C₉×C₈.C₄	φ: Q₈×C₉/C₃₆ → C₂ ⊆ Aut C₂²	144	2	C2^2.(Q8xC9)	288,58
C₂².₂(Q₈×C₉) = C₉×C₂.C₄²	central extension (φ=1)	288		C2^2.2(Q8xC9)	288,45
C₂².₃(Q₈×C₉) = C₄⋊C₄×C₁₈	central extension (φ=1)	288		C2^2.3(Q8xC9)	288,166

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Extensions 1→N→G→Q→1 with N=C22 and Q=Q8×C9