Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂×C₁₁⋊C₅

Direct product G=N×Q with N=C₄ and Q=C₂×C₁₁⋊C₅

		d	ρ	Label	ID
C₂×C₄×C₁₁⋊C₅		88		C2xC4xC11:C5	440,12

Semidirect products G=N:Q with N=C₄ and Q=C₂×C₁₁⋊C₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₂×C₁₁⋊C₅) = D₄×C₁₁⋊C₅	φ: C₂×C₁₁⋊C₅/C₁₁⋊C₅ → C₂ ⊆ Aut C₄	44	10	C4:(C2xC11:C5)	440,13

Non-split extensions G=N.Q with N=C₄ and Q=C₂×C₁₁⋊C₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₂×C₁₁⋊C₅) = Q₈×C₁₁⋊C₅	φ: C₂×C₁₁⋊C₅/C₁₁⋊C₅ → C₂ ⊆ Aut C₄	88	10	C4.(C2xC11:C5)	440,14
C₄.₂(C₂×C₁₁⋊C₅) = C₈×C₁₁⋊C₅	central extension (φ=1)	88	5	C4.2(C2xC11:C5)	440,2

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Extensions 1→N→G→Q→1 with N=C4 and Q=C2×C11⋊C5