Extensions 1→N→G→Q→1 with N=C₆²⋊₅C₄ and Q=C₂

Direct product G=N×Q with N=C₆²⋊₅C₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₆²⋊₅C₄		144		C2xC6^2:5C4	288,809

Semidirect products G=N:Q with N=C₆²⋊₅C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₆²⋊₅C₄⋊₁C₂ = C₆².₃₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆²⋊₅C₄	24	4	C6^2:5C4:1C2	288,228
C₆²⋊₅C₄⋊₂C₂ = C₆².₁₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆²⋊₅C₄	72		C6^2:5C4:2C2	288,281
C₆²⋊₅C₄⋊₃C₂ = C₆².₃₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆²⋊₅C₄	72		C6^2:5C4:3C2	288,309
C₆²⋊₅C₄⋊₄C₂ = C₆².₁₀₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₆²⋊₅C₄	48		C6^2:5C4:4C2	288,607
C₆²⋊₅C₄⋊₅C₂ = C₆².₅₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆²⋊₅C₄	48		C6^2:5C4:5C2	288,609
C₆²⋊₅C₄⋊₆C₂ = S₃×C₆.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆²⋊₅C₄	48		C6^2:5C4:6C2	288,616
C₆²⋊₅C₄⋊₇C₂ = C₆².₁₁₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₆²⋊₅C₄	48		C6^2:5C4:7C2	288,617
C₆²⋊₅C₄⋊₈C₂ = C₆².₁₁₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₆²⋊₅C₄	48		C6^2:5C4:8C2	288,618
C₆²⋊₅C₄⋊₉C₂ = Dic₃×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆²⋊₅C₄	48		C6^2:5C4:9C2	288,620
C₆²⋊₅C₄⋊₁₀C₂ = C₆²⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆²⋊₅C₄	48		C6^2:5C4:10C2	288,624
C₆²⋊₅C₄⋊₁₁C₂ = C₂²⋊C₄×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₆²⋊₅C₄	72		C6^2:5C4:11C2	288,737
C₆²⋊₅C₄⋊₁₂C₂ = C₆².₂₂₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₆²⋊₅C₄	144		C6^2:5C4:12C2	288,740
C₆²⋊₅C₄⋊₁₃C₂ = C₆².₂₂₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₆²⋊₅C₄	144		C6^2:5C4:13C2	288,742
C₆²⋊₅C₄⋊₁₄C₂ = C₆².₁₂₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆²⋊₅C₄	144		C6^2:5C4:14C2	288,786
C₆²⋊₅C₄⋊₁₅C₂ = D₄×C₃⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₆²⋊₅C₄	144		C6^2:5C4:15C2	288,791
C₆²⋊₅C₄⋊₁₆C₂ = C₆².₇₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆²⋊₅C₄	144		C6^2:5C4:16C2	288,792
C₆²⋊₅C₄⋊₁₇C₂ = C₆².₂₅₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₆²⋊₅C₄	144		C6^2:5C4:17C2	288,793
C₆²⋊₅C₄⋊₁₈C₂ = C₆²⋊₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆²⋊₅C₄	72		C6^2:5C4:18C2	288,794
C₆²⋊₅C₄⋊₁₉C₂ = C₆².₂₅₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₆²⋊₅C₄	144		C6^2:5C4:19C2	288,795
C₆²⋊₅C₄⋊₂₀C₂ = C₆²⋊₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆²⋊₅C₄	144		C6^2:5C4:20C2	288,796
C₆²⋊₅C₄⋊₂₁C₂ = C₆²⋊₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆²⋊₅C₄	72		C6^2:5C4:21C2	288,810
C₆²⋊₅C₄⋊₂₂C₂ = C₄×C₃²⋊₇D₄	φ: trivial image	144		C6^2:5C4:22C2	288,785

Non-split extensions G=N.Q with N=C₆²⋊₅C₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₆²⋊₅C₄.₁C₂ = C₆².₉₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₆²⋊₅C₄	48	C6^2:5C4.1C2	288,603
C₆²⋊₅C₄.₂C₂ = C₆².₉₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₆²⋊₅C₄	48	C6^2:5C4.2C2	288,604
C₆²⋊₅C₄.₃C₂ = C₆²⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₆²⋊₅C₄	48	C6^2:5C4.3C2	288,612
C₆²⋊₅C₄.₄C₂ = C₆².₂₂₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₆²⋊₅C₄	144	C6^2:5C4.4C2	288,734
C₆²⋊₅C₄.₅C₂ = C₆²⋊₆Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₆²⋊₅C₄	144	C6^2:5C4.5C2	288,735
C₆²⋊₅C₄.₆C₂ = C₆².₂₂₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₆²⋊₅C₄	144	C6^2:5C4.6C2	288,736
C₆²⋊₅C₄.₇C₂ = C₆²⋊₁₀Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₆²⋊₅C₄	144	C6^2:5C4.7C2	288,781
C₆²⋊₅C₄.₈C₂ = C₆².₂₄₇C₂³	φ: trivial image	144	C6^2:5C4.8C2	288,783

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Extensions 1→N→G→Q→1 with N=C62⋊5C4 and Q=C2

Extensions 1→N→G→Q→1 with N=C₆²⋊₅C₄ and Q=C₂