Extensions 1→N→G→Q→1 with N=C₂³×C₃₀ and Q=C₂

Direct product G=N×Q with N=C₂³×C₃₀ and Q=C₂

		d	ρ	Label	ID
C₂⁴×C₃₀		480		C2^4xC30	480,1213

Semidirect products G=N:Q with N=C₂³×C₃₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³×C₃₀)⋊₁C₂ = C₁₅×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₃₀	120		(C2^3xC30):1C2	480,925
(C₂³×C₃₀)⋊₂C₂ = D₄×C₂×C₃₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₃₀	240		(C2^3xC30):2C2	480,1181
(C₂³×C₃₀)⋊₃C₂ = C₂⁴⋊₅D₁₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₃₀	120		(C2^3xC30):3C2	480,918
(C₂³×C₃₀)⋊₄C₂ = C₂²×C₁₅⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₃₀	240		(C2^3xC30):4C2	480,1179
(C₂³×C₃₀)⋊₅C₂ = C₂⁴×D₁₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₃₀	240		(C2^3xC30):5C2	480,1212
(C₂³×C₃₀)⋊₆C₂ = C₃×C₂⁴⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₃₀	120		(C2^3xC30):6C2	480,746
(C₂³×C₃₀)⋊₇C₂ = C₂×C₆×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₃₀	240		(C2^3xC30):7C2	480,1149
(C₂³×C₃₀)⋊₈C₂ = D₅×C₂³×C₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₃₀	240		(C2^3xC30):8C2	480,1210
(C₂³×C₃₀)⋊₉C₂ = C₅×C₂⁴⋊₄S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₃₀	120		(C2^3xC30):9C2	480,832
(C₂³×C₃₀)⋊₁₀C₂ = C₂×C₁₀×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₃₀	240		(C2^3xC30):10C2	480,1164
(C₂³×C₃₀)⋊₁₁C₂ = S₃×C₂³×C₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₃₀	240		(C2^3xC30):11C2	480,1211

Non-split extensions G=N.Q with N=C₂³×C₃₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³×C₃₀).₁C₂ = C₂²⋊C₄×C₃₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₃₀	240		(C2^3xC30).1C2	480,920
(C₂³×C₃₀).₂C₂ = C₂×C₃₀.₃₈D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₃₀	240		(C2^3xC30).2C2	480,917
(C₂³×C₃₀).₃C₂ = C₂³×Dic₁₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₃₀	480		(C2^3xC30).3C2	480,1178
(C₂³×C₃₀).₄C₂ = C₆×C₂³.D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₃₀	240		(C2^3xC30).4C2	480,745
(C₂³×C₃₀).₅C₂ = Dic₅×C₂²×C₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₃₀	480		(C2^3xC30).5C2	480,1148
(C₂³×C₃₀).₆C₂ = C₁₀×C₆.D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₃₀	240		(C2^3xC30).6C2	480,831
(C₂³×C₃₀).₇C₂ = Dic₃×C₂²×C₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₃₀	480		(C2^3xC30).7C2	480,1163

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