Extensions 1→N→G→Q→1 with N=C₂×C₂₄ and Q=D₅

Direct product G=N×Q with N=C₂×C₂₄ and Q=D₅

		d	ρ	Label	ID
D₅×C₂×C₂₄		240		D5xC2xC24	480,692

Semidirect products G=N:Q with N=C₂×C₂₄ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₂₄)⋊₁D₅ = C₃×D₁₀⋊₁C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₄	240		(C2xC24):1D5	480,98
(C₂×C₂₄)⋊₂D₅ = C₃×D₂₀⋊₅C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₄	240		(C2xC24):2D5	480,99
(C₂×C₂₄)⋊₃D₅ = D₃₀⋊₃C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₄	240		(C2xC24):3D5	480,180
(C₂×C₂₄)⋊₄D₅ = D₆₀⋊₈C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₄	240		(C2xC24):4D5	480,181
(C₂×C₂₄)⋊₅D₅ = C₂×D₁₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₄	240		(C2xC24):5D5	480,868
(C₂×C₂₄)⋊₆D₅ = C₄₀.₆₉D₆	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₄	240	2	(C2xC24):6D5	480,869
(C₂×C₂₄)⋊₇D₅ = C₂×C₂₄⋊D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₄	240		(C2xC24):7D5	480,867
(C₂×C₂₄)⋊₈D₅ = C₆×D₄₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₄	240		(C2xC24):8D5	480,696
(C₂×C₂₄)⋊₉D₅ = C₃×D₄₀⋊₇C₂	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₄	240	2	(C2xC24):9D5	480,697
(C₂×C₂₄)⋊₁₀D₅ = C₂×C₈×D₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₄	240		(C2xC24):10D5	480,864
(C₂×C₂₄)⋊₁₁D₅ = C₂×C₄₀⋊S₃	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₄	240		(C2xC24):11D5	480,865
(C₂×C₂₄)⋊₁₂D₅ = D₆₀.₆C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₄	240	2	(C2xC24):12D5	480,866
(C₂×C₂₄)⋊₁₃D₅ = C₆×C₄₀⋊C₂	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₄	240		(C2xC24):13D5	480,695
(C₂×C₂₄)⋊₁₄D₅ = C₆×C₈⋊D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₄	240		(C2xC24):14D5	480,693
(C₂×C₂₄)⋊₁₅D₅ = C₃×D₂₀.₃C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₄	240	2	(C2xC24):15D5	480,694

Non-split extensions G=N.Q with N=C₂×C₂₄ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₂₄).₁D₅ = C₃×C₂₀.₈Q₈	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₄	480		(C2xC24).1D5	480,92
(C₂×C₂₄).₂D₅ = C₃×C₂₀.₄₄D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₄	480		(C2xC24).2D5	480,94
(C₂×C₂₄).₃D₅ = C₆₀.₂₆Q₈	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₄	480		(C2xC24).3D5	480,174
(C₂×C₂₄).₄D₅ = Dic₃₀⋊₈C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₄	480		(C2xC24).4D5	480,176
(C₂×C₂₄).₅D₅ = C₁₂₀⋊₉C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₄	480		(C2xC24).5D5	480,178
(C₂×C₂₄).₆D₅ = C₂×Dic₆₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₄	480		(C2xC24).6D5	480,870
(C₂×C₂₄).₇D₅ = C₄.₁₈D₆₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₄	240	2	(C2xC24).7D5	480,179
(C₂×C₂₄).₈D₅ = C₁₂₀⋊₁₀C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₄	480		(C2xC24).8D5	480,177
(C₂×C₂₄).₉D₅ = C₃×C₄₀⋊₅C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₄	480		(C2xC24).9D5	480,96
(C₂×C₂₄).₁₀D₅ = C₆×Dic₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₄	480		(C2xC24).10D5	480,698
(C₂×C₂₄).₁₁D₅ = C₃×C₄₀.₆C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₄	240	2	(C2xC24).11D5	480,97
(C₂×C₂₄).₁₂D₅ = C₂×C₁₅⋊₃C₁₆	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₄	480		(C2xC24).12D5	480,171
(C₂×C₂₄).₁₃D₅ = C₆₀.₇C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₄	240	2	(C2xC24).13D5	480,172
(C₂×C₂₄).₁₄D₅ = C₈×Dic₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₄	480		(C2xC24).14D5	480,173
(C₂×C₂₄).₁₅D₅ = C₁₂₀⋊₁₃C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₄	480		(C2xC24).15D5	480,175
(C₂×C₂₄).₁₆D₅ = C₃×C₄₀⋊₆C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₄	480		(C2xC24).16D5	480,95
(C₂×C₂₄).₁₇D₅ = C₃×C₂₀.₄C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₄	240	2	(C2xC24).17D5	480,90
(C₂×C₂₄).₁₈D₅ = C₃×C₄₀⋊₈C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₄	480		(C2xC24).18D5	480,93
(C₂×C₂₄).₁₉D₅ = C₆×C₅⋊₂C₁₆	central extension (φ=1)	480		(C2xC24).19D5	480,89
(C₂×C₂₄).₂₀D₅ = Dic₅×C₂₄	central extension (φ=1)	480		(C2xC24).20D5	480,91

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Extensions 1→N→G→Q→1 with N=C2×C24 and Q=D5

Extensions 1→N→G→Q→1 with N=C₂×C₂₄ and Q=D₅