Extensions 1→N→G→Q→1 with N=C₂×He₃⋊₃C₄ and Q=C₂

Direct product G=N×Q with N=C₂×He₃⋊₃C₄ and Q=C₂

		d	ρ	Label	ID
C₂²×He₃⋊₃C₄		144		C2^2xHe3:3C4	432,398

Semidirect products G=N:Q with N=C₂×He₃⋊₃C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×He₃⋊₃C₄)⋊₁C₂ = C₆².₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊₃C₄	72		(C2xHe3:3C4):1C2	432,97
(C₂×He₃⋊₃C₄)⋊₂C₂ = C₆².₃₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊₃C₄	72		(C2xHe3:3C4):2C2	432,189
(C₂×He₃⋊₃C₄)⋊₃C₂ = C₆²⋊₄Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊₃C₄	72		(C2xHe3:3C4):3C2	432,199
(C₂×He₃⋊₃C₄)⋊₄C₂ = C₂×He₃⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊₃C₄	72		(C2xHe3:3C4):4C2	432,320
(C₂×He₃⋊₃C₄)⋊₅C₂ = C₆².₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊₃C₄	72	6	(C2xHe3:3C4):5C2	432,319
(C₂×He₃⋊₃C₄)⋊₆C₂ = C₂×C₆.S₃²	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊₃C₄	72		(C2xHe3:3C4):6C2	432,317
(C₂×He₃⋊₃C₄)⋊₇C₂ = C₆².₁₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊₃C₄	72	6	(C2xHe3:3C4):7C2	432,391
(C₂×He₃⋊₃C₄)⋊₈C₂ = C₂×He₃⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊₃C₄	72		(C2xHe3:3C4):8C2	432,399
(C₂×He₃⋊₃C₄)⋊₉C₂ = C₂×C₄×He₃⋊C₂	φ: trivial image	72		(C2xHe3:3C4):9C2	432,385

Non-split extensions G=N.Q with N=C₂×He₃⋊₃C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×He₃⋊₃C₄).₁C₂ = C₆².D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊₃C₄	144		(C2xHe3:3C4).1C2	432,95
(C₂×He₃⋊₃C₄).₂C₂ = C₆².₃₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊₃C₄	144		(C2xHe3:3C4).2C2	432,188
(C₂×He₃⋊₃C₄).₃C₂ = C₂×He₃⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊₃C₄	144		(C2xHe3:3C4).3C2	432,277
(C₂×He₃⋊₃C₄).₄C₂ = C₆².₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊₃C₄	144		(C2xHe3:3C4).4C2	432,96
(C₂×He₃⋊₃C₄).₅C₂ = C₂×He₃⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊₃C₄	144		(C2xHe3:3C4).5C2	432,316
(C₂×He₃⋊₃C₄).₆C₂ = He₃⋊C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊₃C₄	144		(C2xHe3:3C4).6C2	432,94
(C₂×He₃⋊₃C₄).₇C₂ = C₆².₂₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊₃C₄	144		(C2xHe3:3C4).7C2	432,187
(C₂×He₃⋊₃C₄).₈C₂ = He₃⋊₄M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊₃C₄	72	6	(C2xHe3:3C4).8C2	432,278
(C₂×He₃⋊₃C₄).₉C₂ = C₂×He₃⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊₃C₄	144		(C2xHe3:3C4).9C2	432,384
(C₂×He₃⋊₃C₄).₁₀C₂ = C₄×He₃⋊₃C₄	φ: trivial image	144		(C2xHe3:3C4).10C2	432,186

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