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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇₄⋊C₆ = C₂×C₃₇⋊C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₇₄	74	6+	C74:C6	444,8
C₇₄⋊₂C₆ = C₂²×C₃₇⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₇₄	148		C74:2C6	444,12
C₇₄⋊₃C₆ = C₆×D₃₇	φ: C₆/C₃ → C₂ ⊆ Aut C₇₄	222	2	C74:3C6	444,15

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇₄.C₆ = C₇₄.C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₇₄	148	6-	C74.C6	444,1
C₇₄.₂C₆ = C₄×C₃₇⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₇₄	148	3	C74.2C6	444,2
C₇₄.₃C₆ = C₃×Dic₃₇	φ: C₆/C₃ → C₂ ⊆ Aut C₇₄	444	2	C74.3C6	444,4

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