Extensions 1→N→G→Q→1 with N=C₂×C₁₂ and Q=C₁₀

Direct product G=N×Q with N=C₂×C₁₂ and Q=C₁₀

		d	ρ	Label	ID
C₂²×C₆₀		240		C2^2xC60	240,185

Semidirect products G=N:Q with N=C₂×C₁₂ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₂)⋊₁C₁₀ = C₅×D₆⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₁₂	120		(C2xC12):1C10	240,59
(C₂×C₁₂)⋊₂C₁₀ = C₁₅×C₂²⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₁₂	120		(C2xC12):2C10	240,82
(C₂×C₁₂)⋊₃C₁₀ = C₁₀×D₁₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₁₂	120		(C2xC12):3C10	240,167
(C₂×C₁₂)⋊₄C₁₀ = C₅×C₄○D₁₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₁₂	120	2	(C2xC12):4C10	240,168
(C₂×C₁₂)⋊₅C₁₀ = S₃×C₂×C₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₁₂	120		(C2xC12):5C10	240,166
(C₂×C₁₂)⋊₆C₁₀ = D₄×C₃₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₁₂	120		(C2xC12):6C10	240,186
(C₂×C₁₂)⋊₇C₁₀ = C₁₅×C₄○D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₁₂	120	2	(C2xC12):7C10	240,188

Non-split extensions G=N.Q with N=C₂×C₁₂ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₂).₁C₁₀ = C₅×Dic₃⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₁₂	240		(C2xC12).1C10	240,57
(C₂×C₁₂).₂C₁₀ = C₁₅×C₄⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₁₂	240		(C2xC12).2C10	240,83
(C₂×C₁₂).₃C₁₀ = C₅×C₄⋊Dic₃	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₁₂	240		(C2xC12).3C10	240,58
(C₂×C₁₂).₄C₁₀ = C₁₀×Dic₆	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₁₂	240		(C2xC12).4C10	240,165
(C₂×C₁₂).₅C₁₀ = C₅×C₄.Dic₃	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₁₂	120	2	(C2xC12).5C10	240,55
(C₂×C₁₂).₆C₁₀ = C₁₀×C₃⋊C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₁₂	240		(C2xC12).6C10	240,54
(C₂×C₁₂).₇C₁₀ = Dic₃×C₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₁₂	240		(C2xC12).7C10	240,56
(C₂×C₁₂).₈C₁₀ = C₁₅×M₄(2)	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₁₂	120	2	(C2xC12).8C10	240,85
(C₂×C₁₂).₉C₁₀ = Q₈×C₃₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₁₂	240		(C2xC12).9C10	240,187

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