Extensions 1→N→G→Q→1 with N=C₈×He₃ and Q=C₂

Direct product G=N×Q with N=C₈×He₃ and Q=C₂

		d	ρ	Label	ID
C₂×C₈×He₃		144		C2xC8xHe3	432,210

Semidirect products G=N:Q with N=C₈×He₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈×He₃)⋊₁C₂ = He₃⋊₄D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×He₃	72	6+	(C8xHe3):1C2	432,118
(C₈×He₃)⋊₂C₂ = He₃⋊₅D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×He₃	72	6	(C8xHe3):2C2	432,176
(C₈×He₃)⋊₃C₂ = He₃⋊₆SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×He₃	72	6	(C8xHe3):3C2	432,117
(C₈×He₃)⋊₄C₂ = He₃⋊₇SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×He₃	72	6	(C8xHe3):4C2	432,175
(C₈×He₃)⋊₅C₂ = D₈×He₃	φ: C₂/C₁ → C₂ ⊆ Out C₈×He₃	72	6	(C8xHe3):5C2	432,216
(C₈×He₃)⋊₆C₂ = C₈×C₃²⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×He₃	72	6	(C8xHe3):6C2	432,115
(C₈×He₃)⋊₇C₂ = C₈×He₃⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₈×He₃	72	3	(C8xHe3):7C2	432,173
(C₈×He₃)⋊₈C₂ = He₃⋊₅M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₈×He₃	72	6	(C8xHe3):8C2	432,116
(C₈×He₃)⋊₉C₂ = He₃⋊₆M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₈×He₃	72	6	(C8xHe3):9C2	432,174
(C₈×He₃)⋊₁₀C₂ = SD₁₆×He₃	φ: C₂/C₁ → C₂ ⊆ Out C₈×He₃	72	6	(C8xHe3):10C2	432,219
(C₈×He₃)⋊₁₁C₂ = M₄(2)×He₃	φ: C₂/C₁ → C₂ ⊆ Out C₈×He₃	72	6	(C8xHe3):11C2	432,213

Non-split extensions G=N.Q with N=C₈×He₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈×He₃).₁C₂ = He₃⋊₄Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×He₃	144	6-	(C8xHe3).1C2	432,114
(C₈×He₃).₂C₂ = He₃⋊₅Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×He₃	144	6	(C8xHe3).2C2	432,177
(C₈×He₃).₃C₂ = Q₁₆×He₃	φ: C₂/C₁ → C₂ ⊆ Out C₈×He₃	144	6	(C8xHe3).3C2	432,222
(C₈×He₃).₄C₂ = He₃⋊₃C₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×He₃	144	6	(C8xHe3).4C2	432,30
(C₈×He₃).₅C₂ = He₃⋊₄C₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×He₃	144	3	(C8xHe3).5C2	432,33
(C₈×He₃).₆C₂ = C₁₆×He₃	φ: trivial image	144	3	(C8xHe3).6C2	432,35

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