Extensions 1→N→G→Q→1 with N=C₄₄ and Q=C₁₀

Direct product G=N×Q with N=C₄₄ and Q=C₁₀

		d	ρ	Label	ID
C₂×C₂₂₀		440		C2xC220	440,39

Semidirect products G=N:Q with N=C₄₄ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₄⋊₁C₁₀ = D₄₄⋊C₅	φ: C₁₀/C₁ → C₁₀ ⊆ Aut C₄₄	44	10+	C44:1C10	440,9
C₄₄⋊₂C₁₀ = C₄×F₁₁	φ: C₁₀/C₁ → C₁₀ ⊆ Aut C₄₄	44	10	C44:2C10	440,8
C₄₄⋊₃C₁₀ = D₄×C₁₁⋊C₅	φ: C₁₀/C₁ → C₁₀ ⊆ Aut C₄₄	44	10	C44:3C10	440,13
C₄₄⋊₄C₁₀ = C₂×C₄×C₁₁⋊C₅	φ: C₁₀/C₂ → C₅ ⊆ Aut C₄₄	88		C44:4C10	440,12
C₄₄⋊₅C₁₀ = C₅×D₄₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₄	220	2	C44:5C10	440,26
C₄₄⋊₆C₁₀ = C₂₀×D₁₁	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₄	220	2	C44:6C10	440,25
C₄₄⋊₇C₁₀ = D₄×C₅₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₄	220	2	C44:7C10	440,40

Non-split extensions G=N.Q with N=C₄₄ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₄.₁C₁₀ = C₄.F₁₁	φ: C₁₀/C₁ → C₁₀ ⊆ Aut C₄₄	88	10-	C44.1C10	440,7
C₄₄.₂C₁₀ = C₁₁⋊C₄₀	φ: C₁₀/C₁ → C₁₀ ⊆ Aut C₄₄	88	10	C44.2C10	440,1
C₄₄.₃C₁₀ = Q₈×C₁₁⋊C₅	φ: C₁₀/C₁ → C₁₀ ⊆ Aut C₄₄	88	10	C44.3C10	440,14
C₄₄.₄C₁₀ = C₈×C₁₁⋊C₅	φ: C₁₀/C₂ → C₅ ⊆ Aut C₄₄	88	5	C44.4C10	440,2
C₄₄.₅C₁₀ = C₅×Dic₂₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₄	440	2	C44.5C10	440,24
C₄₄.₆C₁₀ = C₅×C₁₁⋊C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₄	440	2	C44.6C10	440,4
C₄₄.₇C₁₀ = Q₈×C₅₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₄	440	2	C44.7C10	440,41

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