Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₂⁴

Direct product G=N×Q with N=C₁₀ and Q=C₂⁴

		d	ρ	Label	ID
C₂⁴×C₁₀		160		C2^4xC10	160,238

Semidirect products G=N:Q with N=C₁₀ and Q=C₂⁴

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊C₂⁴ = D₅×C₂⁴	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₀	80		C10:C2^4	160,237

Non-split extensions G=N.Q with N=C₁₀ and Q=C₂⁴

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁C₂⁴ = C₂²×Dic₁₀	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₀	160		C10.1C2^4	160,213
C₁₀.₂C₂⁴ = D₅×C₂²×C₄	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₀	80		C10.2C2^4	160,214
C₁₀.₃C₂⁴ = C₂²×D₂₀	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₀	80		C10.3C2^4	160,215
C₁₀.₄C₂⁴ = C₂×C₄○D₂₀	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₀	80		C10.4C2^4	160,216
C₁₀.₅C₂⁴ = C₂×D₄×D₅	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₀	40		C10.5C2^4	160,217
C₁₀.₆C₂⁴ = C₂×D₄⋊₂D₅	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₀	80		C10.6C2^4	160,218
C₁₀.₇C₂⁴ = D₄⋊₆D₁₀	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₀	40	4	C10.7C2^4	160,219
C₁₀.₈C₂⁴ = C₂×Q₈×D₅	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₀	80		C10.8C2^4	160,220
C₁₀.₉C₂⁴ = C₂×Q₈⋊₂D₅	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₀	80		C10.9C2^4	160,221
C₁₀.₁₀C₂⁴ = Q₈.₁₀D₁₀	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₀	80	4	C10.10C2^4	160,222
C₁₀.₁₁C₂⁴ = D₅×C₄○D₄	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₀	40	4	C10.11C2^4	160,223
C₁₀.₁₂C₂⁴ = D₄⋊₈D₁₀	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₀	40	4+	C10.12C2^4	160,224
C₁₀.₁₃C₂⁴ = D₄.₁₀D₁₀	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₀	80	4-	C10.13C2^4	160,225
C₁₀.₁₄C₂⁴ = C₂³×Dic₅	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₀	160		C10.14C2^4	160,226
C₁₀.₁₅C₂⁴ = C₂²×C₅⋊D₄	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₁₀	80		C10.15C2^4	160,227
C₁₀.₁₆C₂⁴ = D₄×C₂×C₁₀	central extension (φ=1)	80		C10.16C2^4	160,229
C₁₀.₁₇C₂⁴ = Q₈×C₂×C₁₀	central extension (φ=1)	160		C10.17C2^4	160,230
C₁₀.₁₈C₂⁴ = C₁₀×C₄○D₄	central extension (φ=1)	80		C10.18C2^4	160,231
C₁₀.₁₉C₂⁴ = C₅×2₊¹⁺⁴	central extension (φ=1)	40	4	C10.19C2^4	160,232
C₁₀.₂₀C₂⁴ = C₅×2_-¹⁺⁴	central extension (φ=1)	80	4	C10.20C2^4	160,233

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Extensions 1→N→G→Q→1 with N=C10 and Q=C24

Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₂⁴