Extensions 1→N→G→Q→1 with N=C₇ and Q=C₃²×C₆

Direct product G=N×Q with N=C₇ and Q=C₃²×C₆

		d	ρ	Label	ID
C₃²×C₄₂		378		C3^2xC42	378,60

Semidirect products G=N:Q with N=C₇ and Q=C₃²×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊(C₃²×C₆) = C₃²×F₇	φ: C₃²×C₆/C₃² → C₆ ⊆ Aut C₇	63		C7:(C3^2xC6)	378,47
C₇⋊₂(C₃²×C₆) = C₃×C₆×C₇⋊C₃	φ: C₃²×C₆/C₃×C₆ → C₃ ⊆ Aut C₇	126		C7:2(C3^2xC6)	378,52
C₇⋊₃(C₃²×C₆) = D₇×C₃³	φ: C₃²×C₆/C₃³ → C₂ ⊆ Aut C₇	189		C7:3(C3^2xC6)	378,53

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁