Extensions 1→N→G→Q→1 with N=C₂³×D₁₃ and Q=C₂

Direct product G=N×Q with N=C₂³×D₁₃ and Q=C₂

		d	ρ	Label	ID
C₂⁴×D₁₃		208		C2^4xD13	416,234

Semidirect products G=N:Q with N=C₂³×D₁₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³×D₁₃)⋊₁C₂ = C₂²⋊D₅₂	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₁₃	104		(C2^3xD13):1C2	416,103
(C₂³×D₁₃)⋊₂C₂ = C₂³⋊D₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₁₃	104		(C2^3xD13):2C2	416,158
(C₂³×D₁₃)⋊₃C₂ = C₂²×D₅₂	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₁₃	208		(C2^3xD13):3C2	416,214
(C₂³×D₁₃)⋊₄C₂ = C₂×D₄×D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₁₃	104		(C2^3xD13):4C2	416,216
(C₂³×D₁₃)⋊₅C₂ = C₂²×C₁₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₁₃	208		(C2^3xD13):5C2	416,226

Non-split extensions G=N.Q with N=C₂³×D₁₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³×D₁₃).₁C₂ = C₂²⋊C₄×D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₁₃	104		(C2^3xD13).1C2	416,101
(C₂³×D₁₃).₂C₂ = C₂×D₂₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₁₃	208		(C2^3xD13).2C2	416,148
(C₂³×D₁₃).₃C₂ = C₂×D₁₃.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₁₃	104		(C2^3xD13).3C2	416,211
(C₂³×D₁₃).₄C₂ = C₂³×C₁₃⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₁₃	104		(C2^3xD13).4C2	416,233
(C₂³×D₁₃).₅C₂ = C₂²×C₄×D₁₃	φ: trivial image	208		(C2^3xD13).5C2	416,213

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