Extensions 1→N→G→Q→1 with N=C₅×D₂₄ and Q=C₂

Direct product G=N×Q with N=C₅×D₂₄ and Q=C₂

		d	ρ	Label	ID
C₁₀×D₂₄		240		C10xD24	480,782

Semidirect products G=N:Q with N=C₅×D₂₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₂₄)⋊₁C₂ = C₅⋊D₄₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₂₄	240	4+	(C5xD24):1C2	480,15
(C₅×D₂₄)⋊₂C₂ = D₅×D₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₂₄	120	4+	(C5xD24):2C2	480,324
(C₅×D₂₄)⋊₃C₂ = D₂₄⋊₇D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₂₄	240	4-	(C5xD24):3C2	480,346
(C₅×D₂₄)⋊₄C₂ = D₂₄⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₂₄	120	4	(C5xD24):4C2	480,326
(C₅×D₂₄)⋊₅C₂ = C₁₅⋊D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₂₄	240	4	(C5xD24):5C2	480,13
(C₅×D₂₄)⋊₆C₂ = C₄₀⋊₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₂₄	120	4	(C5xD24):6C2	480,332
(C₅×D₂₄)⋊₇C₂ = D₂₄⋊₅D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₂₄	240	4	(C5xD24):7C2	480,355
(C₅×D₂₄)⋊₈C₂ = D₂₄⋊₆D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₂₄	120	4	(C5xD24):8C2	480,333
(C₅×D₂₄)⋊₉C₂ = C₅×D₄₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₂₄	240	2	(C5xD24):9C2	480,118
(C₅×D₂₄)⋊₁₀C₂ = C₅×C₈⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₂₄	120	4	(C5xD24):10C2	480,787
(C₅×D₂₄)⋊₁₁C₂ = C₅×C₃⋊D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₂₄	240	4	(C5xD24):11C2	480,145
(C₅×D₂₄)⋊₁₂C₂ = C₅×S₃×D₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₂₄	120	4	(C5xD24):12C2	480,789
(C₅×D₂₄)⋊₁₃C₂ = C₅×D₂₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₂₄	240	4	(C5xD24):13C2	480,798
(C₅×D₂₄)⋊₁₄C₂ = C₅×Q₈⋊₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₂₄	120	4	(C5xD24):14C2	480,793
(C₅×D₂₄)⋊₁₅C₂ = C₅×C₄○D₂₄	φ: trivial image	240	2	(C5xD24):15C2	480,783

Non-split extensions G=N.Q with N=C₅×D₂₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₂₄).₁C₂ = D₂₄.D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₂₄	240	4-	(C5xD24).1C2	480,20
(C₅×D₂₄).₂C₂ = C₁₅⋊SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₂₄	240	4	(C5xD24).2C2	480,17
(C₅×D₂₄).₃C₂ = C₅×C₄₈⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₂₄	240	2	(C5xD24).3C2	480,119
(C₅×D₂₄).₄C₂ = C₅×C₈.₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₂₄	240	4	(C5xD24).4C2	480,147

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁