Extensions 1→N→G→Q→1 with N=C₁₃ and Q=C₂²×C₆

Direct product G=N×Q with N=C₁₃ and Q=C₂²×C₆

		d	ρ	Label	ID
C₂²×C₇₈		312		C2^2xC78	312,61

Semidirect products G=N:Q with N=C₁₃ and Q=C₂²×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₃⋊(C₂²×C₆) = C₂²×C₁₃⋊C₆	φ: C₂²×C₆/C₂² → C₆ ⊆ Aut C₁₃	52		C13:(C2^2xC6)	312,49
C₁₃⋊₂(C₂²×C₆) = C₂³×C₁₃⋊C₃	φ: C₂²×C₆/C₂³ → C₃ ⊆ Aut C₁₃	104		C13:2(C2^2xC6)	312,55
C₁₃⋊₃(C₂²×C₆) = C₂×C₆×D₁₃	φ: C₂²×C₆/C₂×C₆ → C₂ ⊆ Aut C₁₃	156		C13:3(C2^2xC6)	312,58

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