Extensions 1→N→G→Q→1 with N=C₂² and Q=Q₈×C₁₃

Direct product G=N×Q with N=C₂² and Q=Q₈×C₁₃

		d	ρ	Label	ID
Q₈×C₂×C₂₆		416		Q8xC2xC26	416,229

Semidirect products G=N:Q with N=C₂² and Q=Q₈×C₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(Q₈×C₁₃) = C₁₃×C₂²⋊Q₈	φ: Q₈×C₁₃/C₅₂ → C₂ ⊆ Aut C₂²	208		C2^2:(Q8xC13)	416,183

Non-split extensions G=N.Q with N=C₂² and Q=Q₈×C₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(Q₈×C₁₃) = C₁₃×C₈.C₄	φ: Q₈×C₁₃/C₅₂ → C₂ ⊆ Aut C₂²	208	2	C2^2.(Q8xC13)	416,58
C₂².₂(Q₈×C₁₃) = C₁₃×C₂.C₄²	central extension (φ=1)	416		C2^2.2(Q8xC13)	416,45
C₂².₃(Q₈×C₁₃) = C₄⋊C₄×C₂₆	central extension (φ=1)	416		C2^2.3(Q8xC13)	416,177

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Extensions 1→N→G→Q→1 with N=C22 and Q=Q8×C13