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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₂₄)⋊₁C₂ = D₅×D₂₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	120	4+	(D5xC24):1C2	480,324
(D₅×C₂₄)⋊₂C₂ = D₂₄⋊₇D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	240	4-	(D5xC24):2C2	480,346
(D₅×C₂₄)⋊₃C₂ = D₁₂₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	240	4+	(D5xC24):3C2	480,347
(D₅×C₂₄)⋊₄C₂ = D₅×C₂₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	120	4	(D5xC24):4C2	480,323
(D₅×C₂₄)⋊₅C₂ = C₄₀.₃₁D₆	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	240	4	(D5xC24):5C2	480,345
(D₅×C₂₄)⋊₆C₂ = C₃×D₅×D₈	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	120	4	(D5xC24):6C2	480,703
(D₅×C₂₄)⋊₇C₂ = C₃×D₈⋊₃D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	240	4	(D5xC24):7C2	480,705
(D₅×C₂₄)⋊₈C₂ = C₃×Q₈.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	240	4	(D5xC24):8C2	480,712
(D₅×C₂₄)⋊₉C₂ = S₃×C₈×D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	120	4	(D5xC24):9C2	480,319
(D₅×C₂₄)⋊₁₀C₂ = D₅×C₈⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	120	4	(D5xC24):10C2	480,320
(D₅×C₂₄)⋊₁₁C₂ = C₄₀.₅₄D₆	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	240	4	(D5xC24):11C2	480,341
(D₅×C₂₄)⋊₁₂C₂ = C₄₀.₃₄D₆	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	240	4	(D5xC24):12C2	480,342
(D₅×C₂₄)⋊₁₃C₂ = C₃×D₅×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	120	4	(D5xC24):13C2	480,706
(D₅×C₂₄)⋊₁₄C₂ = C₃×SD₁₆⋊₃D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	240	4	(D5xC24):14C2	480,709
(D₅×C₂₄)⋊₁₅C₂ = C₃×D₂₀.₃C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	240	2	(D5xC24):15C2	480,694
(D₅×C₂₄)⋊₁₆C₂ = C₃×D₅×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	120	4	(D5xC24):16C2	480,699
(D₅×C₂₄)⋊₁₇C₂ = C₃×D₂₀.₂C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	240	4	(D5xC24):17C2	480,700

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

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₂₄).₁C₂ = D₅×Dic₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	240	4-	(D5xC24).1C2	480,335
(D₅×C₂₄).₂C₂ = C₃×D₅×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	240	4	(D5xC24).2C2	480,710
(D₅×C₂₄).₃C₂ = D₅×C₃⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	240	4	(D5xC24).3C2	480,7
(D₅×C₂₄).₄C₂ = C₄₀.₅₁D₆	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	240	4	(D5xC24).4C2	480,10
(D₅×C₂₄).₅C₂ = D₅.D₂₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	120	4	(D5xC24).5C2	480,299
(D₅×C₂₄).₆C₂ = C₂₄.₁F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	240	4	(D5xC24).6C2	480,301
(D₅×C₂₄).₇C₂ = C₁₂₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	120	4	(D5xC24).7C2	480,298
(D₅×C₂₄).₈C₂ = C₄₀.Dic₃	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	240	4	(D5xC24).8C2	480,300
(D₅×C₂₄).₉C₂ = C₃×C₈₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	240	2	(D5xC24).9C2	480,76
(D₅×C₂₄).₁₀C₂ = C₃×D₅.D₈	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	120	4	(D5xC24).10C2	480,274
(D₅×C₂₄).₁₁C₂ = C₃×D₁₀.Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	240	4	(D5xC24).11C2	480,276
(D₅×C₂₄).₁₂C₂ = C₂₄.F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	240	4	(D5xC24).12C2	480,294
(D₅×C₂₄).₁₃C₂ = C₁₂₀.C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	240	4	(D5xC24).13C2	480,295
(D₅×C₂₄).₁₄C₂ = C₈×C₃⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	120	4	(D5xC24).14C2	480,296
(D₅×C₂₄).₁₅C₂ = C₂₄⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	120	4	(D5xC24).15C2	480,297
(D₅×C₂₄).₁₆C₂ = C₃×C₄₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	120	4	(D5xC24).16C2	480,273
(D₅×C₂₄).₁₇C₂ = C₃×C₄₀.C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	240	4	(D5xC24).17C2	480,275
(D₅×C₂₄).₁₈C₂ = C₃×D₅⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	240	4	(D5xC24).18C2	480,269
(D₅×C₂₄).₁₉C₂ = C₃×C₈.F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	240	4	(D5xC24).19C2	480,270
(D₅×C₂₄).₂₀C₂ = F₅×C₂₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	120	4	(D5xC24).20C2	480,271
(D₅×C₂₄).₂₁C₂ = C₃×C₈⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₄	120	4	(D5xC24).21C2	480,272
(D₅×C₂₄).₂₂C₂ = D₅×C₄₈	φ: trivial image	240	2	(D5xC24).22C2	480,75

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

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