Extensions 1→N→G→Q→1 with N=C₁₃ and Q=C₂×M₄(2)

Direct product G=N×Q with N=C₁₃ and Q=C₂×M₄(2)

		d	ρ	Label	ID
M₄(2)×C₂₆		208		M4(2)xC26	416,191

Semidirect products G=N:Q with N=C₁₃ and Q=C₂×M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₃⋊₁(C₂×M₄(2)) = C₂×C₅₂.C₄	φ: C₂×M₄(2)/C₂×C₄ → C₄ ⊆ Aut C₁₃	208		C13:1(C2xM4(2))	416,200
C₁₃⋊₂(C₂×M₄(2)) = D₁₃⋊M₄(2)	φ: C₂×M₄(2)/C₂×C₄ → C₄ ⊆ Aut C₁₃	104	4	C13:2(C2xM4(2))	416,201
C₁₃⋊₃(C₂×M₄(2)) = C₂×C₁₃⋊M₄(2)	φ: C₂×M₄(2)/C₂³ → C₄ ⊆ Aut C₁₃	208		C13:3(C2xM4(2))	416,210
C₁₃⋊₄(C₂×M₄(2)) = C₂×C₈⋊D₁₃	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₁₃	208		C13:4(C2xM4(2))	416,121
C₁₃⋊₅(C₂×M₄(2)) = M₄(2)×D₁₃	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₁₃	104	4	C13:5(C2xM4(2))	416,127
C₁₃⋊₆(C₂×M₄(2)) = C₂×C₅₂.₄C₄	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₁₃	208		C13:6(C2xM4(2))	416,142

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