Extensions 1→N→G→Q→1 with N=C₄ and Q=C₁₃⋊₂C₈

Direct product G=N×Q with N=C₄ and Q=C₁₃⋊₂C₈

		d	ρ	Label	ID
C₄×C₁₃⋊₂C₈		416		C4xC13:2C8	416,9

Semidirect products G=N:Q with N=C₄ and Q=C₁₃⋊₂C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₁₃⋊₂C₈) = C₅₂⋊₃C₈	φ: C₁₃⋊₂C₈/C₅₂ → C₂ ⊆ Aut C₄	416		C4:(C13:2C8)	416,11

Non-split extensions G=N.Q with N=C₄ and Q=C₁₃⋊₂C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₁₃⋊₂C₈) = C₅₂.₄C₈	φ: C₁₃⋊₂C₈/C₅₂ → C₂ ⊆ Aut C₄	208	2	C4.(C13:2C8)	416,19
C₄.₂(C₁₃⋊₂C₈) = C₁₃⋊₂C₃₂	central extension (φ=1)	416	2	C4.2(C13:2C8)	416,1
C₄.₃(C₁₃⋊₂C₈) = C₂×C₁₃⋊₂C₁₆	central extension (φ=1)	416		C4.3(C13:2C8)	416,18

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Extensions 1→N→G→Q→1 with N=C4 and Q=C13⋊2C8