Extensions 1→N→G→Q→1 with N=C₆×Q₈ and Q=C₃²

Direct product G=N×Q with N=C₆×Q₈ and Q=C₃²

		d	ρ	Label	ID
Q₈×C₃²×C₆		432		Q8xC3^2xC6	432,732

Semidirect products G=N:Q with N=C₆×Q₈ and Q=C₃²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×Q₈)⋊C₃² = C₃×C₆×SL₂(𝔽₃)	φ: C₃²/C₃ → C₃ ⊆ Out C₆×Q₈	144		(C6xQ8):C3^2	432,698

Non-split extensions G=N.Q with N=C₆×Q₈ and Q=C₃²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×Q₈).₁C₃² = C₁₈×SL₂(𝔽₃)	φ: C₃²/C₃ → C₃ ⊆ Out C₆×Q₈	144		(C6xQ8).1C3^2	432,327
(C₆×Q₈).₂C₃² = C₂×C₁₈.A₄	φ: C₃²/C₃ → C₃ ⊆ Out C₆×Q₈	144		(C6xQ8).2C3^2	432,328
(C₆×Q₈).₃C₃² = C₆×Q₈⋊C₉	φ: C₃²/C₃ → C₃ ⊆ Out C₆×Q₈	432		(C6xQ8).3C3^2	432,334
(C₆×Q₈).₄C₃² = C₂×Q₈⋊3_-¹⁺²	φ: C₃²/C₃ → C₃ ⊆ Out C₆×Q₈	144		(C6xQ8).4C3^2	432,335
(C₆×Q₈).₅C₃² = C₂×Q₈⋊He₃	φ: C₃²/C₃ → C₃ ⊆ Out C₆×Q₈	144		(C6xQ8).5C3^2	432,336
(C₆×Q₈).₆C₃² = Q₈×C₃×C₁₈	φ: trivial image	432		(C6xQ8).6C3^2	432,406
(C₆×Q₈).₇C₃² = C₂×Q₈×He₃	φ: trivial image	144		(C6xQ8).7C3^2	432,407
(C₆×Q₈).₈C₃² = C₂×Q₈×3_-¹⁺²	φ: trivial image	144		(C6xQ8).8C3^2	432,408

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