Extensions 1→N→G→Q→1 with N=C₆ and Q=C₇₄

Direct product G=N×Q with N=C₆ and Q=C₇₄

		d	ρ	Label	ID
C₂×C₂₂₂		444		C2xC222	444,18

Semidirect products G=N:Q with N=C₆ and Q=C₇₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊C₇₄ = S₃×C₇₄	φ: C₇₄/C₃₇ → C₂ ⊆ Aut C₆	222	2	C6:C74	444,16

Non-split extensions G=N.Q with N=C₆ and Q=C₇₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.C₇₄ = Dic₃×C₃₇	φ: C₇₄/C₃₇ → C₂ ⊆ Aut C₆	444	2	C6.C74	444,3

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Extensions 1→N→G→Q→1 with N=C6 and Q=C74