Extensions 1→N→G→Q→1 with N=D₃₀.C₂ and Q=C₄

Direct product G=N×Q with N=D₃₀.C₂ and Q=C₄

		d	ρ	Label	ID
C₄×D₃₀.C₂		240		C4xD30.C2	480,477

Semidirect products G=N:Q with N=D₃₀.C₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₀.C₂⋊₁C₄ = D₃₀.C₂⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₃₀.C₂	240		D30.C2:1C4	480,478
D₃₀.C₂⋊₂C₄ = D₃₀.₂₃(C₂×C₄)	φ: C₄/C₂ → C₂ ⊆ Out D₃₀.C₂	240		D30.C2:2C4	480,479
D₃₀.C₂⋊₃C₄ = D₃₀.Q₈	φ: C₄/C₂ → C₂ ⊆ Out D₃₀.C₂	240		D30.C2:3C4	480,480
D₃₀.C₂⋊₄C₄ = C₄⋊F₅⋊₃S₃	φ: C₄/C₂ → C₂ ⊆ Out D₃₀.C₂	120	8	D30.C2:4C4	480,983
D₃₀.C₂⋊₅C₄ = (C₄×S₃)⋊F₅	φ: C₄/C₂ → C₂ ⊆ Out D₃₀.C₂	120	8	D30.C2:5C4	480,985
D₃₀.C₂⋊₆C₄ = C₄×S₃×F₅	φ: C₄/C₂ → C₂ ⊆ Out D₃₀.C₂	60	8	D30.C2:6C4	480,994
D₃₀.C₂⋊₇C₄ = S₃×C₄⋊F₅	φ: C₄/C₂ → C₂ ⊆ Out D₃₀.C₂	60	8	D30.C2:7C4	480,996

Non-split extensions G=N.Q with N=D₃₀.C₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₀.C₂.₁C₄ = D₅×C₈⋊S₃	φ: C₄/C₂ → C₂ ⊆ Out D₃₀.C₂	120	4	D30.C2.1C4	480,320
D₃₀.C₂.₂C₄ = S₃×C₈⋊D₅	φ: C₄/C₂ → C₂ ⊆ Out D₃₀.C₂	120	4	D30.C2.2C4	480,321
D₃₀.C₂.₃C₄ = C₄₀⋊D₆	φ: C₄/C₂ → C₂ ⊆ Out D₃₀.C₂	120	4	D30.C2.3C4	480,322
D₃₀.C₂.₄C₄ = C₂×D₁₅⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out D₃₀.C₂	240		D30.C2.4C4	480,1006
D₃₀.C₂.₅C₄ = D₁₅⋊₂M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out D₃₀.C₂	120	8+	D30.C2.5C4	480,1007
D₃₀.C₂.₆C₄ = C₂×Dic₃.F₅	φ: C₄/C₂ → C₂ ⊆ Out D₃₀.C₂	240		D30.C2.6C4	480,1009
D₃₀.C₂.₇C₄ = S₃×C₈×D₅	φ: trivial image	120	4	D30.C2.7C4	480,319

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