Extensions 1→N→G→Q→1 with N=C₆ and Q=He₃⋊C₃

Direct product G=N×Q with N=C₆ and Q=He₃⋊C₃

		d	ρ	Label	ID
C₆×He₃⋊C₃		162		C6xHe3:C3	486,212

Non-split extensions G=N.Q with N=C₆ and Q=He₃⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(He₃⋊C₃) = C₂×C₃².₂₄He₃	central extension (φ=1)	162		C6.1(He3:C3)	486,63
C₆.₂(He₃⋊C₃) = C₂×C₃².₂₇He₃	central extension (φ=1)	162		C6.2(He3:C3)	486,66
C₆.₃(He₃⋊C₃) = C₂×C₃².₂₉He₃	central extension (φ=1)	162		C6.3(He3:C3)	486,68
C₆.₄(He₃⋊C₃) = C₂×C₃².₂₀He₃	central extension (φ=1)	162		C6.4(He3:C3)	486,75
C₆.₅(He₃⋊C₃) = C₂×He₃⋊C₉	central extension (φ=1)	162		C6.5(He3:C3)	486,77
C₆.₆(He₃⋊C₃) = C₂×C₉²⋊C₃	central extension (φ=1)	54	3	C6.6(He3:C3)	486,85
C₆.₇(He₃⋊C₃) = C₂×C₉²⋊₂C₃	central extension (φ=1)	54	3	C6.7(He3:C3)	486,86
C₆.₈(He₃⋊C₃) = C₂×C₉².C₃	central extension (φ=1)	54	3	C6.8(He3:C3)	486,87
C₆.₉(He₃⋊C₃) = C₂×C₃².He₃	central extension (φ=1)	54	9	C6.9(He3:C3)	486,88
C₆.₁₀(He₃⋊C₃) = C₂×C₃².₅He₃	central extension (φ=1)	54	9	C6.10(He3:C3)	486,89
C₆.₁₁(He₃⋊C₃) = C₂×C₃².₆He₃	central extension (φ=1)	54	9	C6.11(He3:C3)	486,90

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁