Extensions 1→N→G→Q→1 with N=C₂×He₃ and Q=Q₈

Direct product G=N×Q with N=C₂×He₃ and Q=Q₈

		d	ρ	Label	ID
C₂×Q₈×He₃		144		C2xQ8xHe3	432,407

Semidirect products G=N:Q with N=C₂×He₃ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×He₃)⋊Q₈ = C₂×SU₃(𝔽₂)	φ: Q₈/C₁ → Q₈ ⊆ Out C₂×He₃	54	3	(C2xHe3):Q8	432,531
(C₂×He₃)⋊₂Q₈ = C₂×He₃⋊₂Q₈	φ: Q₈/C₂ → C₂² ⊆ Out C₂×He₃	144		(C2xHe3):2Q8	432,316
(C₂×He₃)⋊₃Q₈ = C₂×He₃⋊₃Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₂×He₃	144		(C2xHe3):3Q8	432,348
(C₂×He₃)⋊₄Q₈ = C₂×He₃⋊₄Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₂×He₃	144		(C2xHe3):4Q8	432,384

Non-split extensions G=N.Q with N=C₂×He₃ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×He₃).Q₈ = C₂.SU₃(𝔽₂)	φ: Q₈/C₁ → Q₈ ⊆ Out C₂×He₃	72	3	(C2xHe3).Q8	432,239
(C₂×He₃).₂Q₈ = C₆².D₆	φ: Q₈/C₂ → C₂² ⊆ Out C₂×He₃	144		(C2xHe3).2Q8	432,95
(C₂×He₃).₃Q₈ = C₆².₃D₆	φ: Q₈/C₂ → C₂² ⊆ Out C₂×He₃	144		(C2xHe3).3Q8	432,96
(C₂×He₃).₄Q₈ = C₆².₁₉D₆	φ: Q₈/C₄ → C₂ ⊆ Out C₂×He₃	144		(C2xHe3).4Q8	432,139
(C₂×He₃).₅Q₈ = C₆².₂₀D₆	φ: Q₈/C₄ → C₂ ⊆ Out C₂×He₃	144		(C2xHe3).5Q8	432,140
(C₂×He₃).₆Q₈ = C₆².₂₉D₆	φ: Q₈/C₄ → C₂ ⊆ Out C₂×He₃	144		(C2xHe3).6Q8	432,187
(C₂×He₃).₇Q₈ = C₆².₃₀D₆	φ: Q₈/C₄ → C₂ ⊆ Out C₂×He₃	144		(C2xHe3).7Q8	432,188
(C₂×He₃).₈Q₈ = C₄⋊C₄×He₃	φ: trivial image	144		(C2xHe3).8Q8	432,207

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