Extensions 1→N→G→Q→1 with N=C₂ and Q=C₃²×C₃⋊D₄

Direct product G=N×Q with N=C₂ and Q=C₃²×C₃⋊D₄

		d	ρ	Label	ID
C₃×C₆×C₃⋊D₄		72		C3xC6xC3:D4	432,709

Non-split extensions G=N.Q with N=C₂ and Q=C₃²×C₃⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₃²×C₃⋊D₄) = C₃²×Dic₃⋊C₄	central extension (φ=1)	144		C2.1(C3^2xC3:D4)	432,472
C₂.₂(C₃²×C₃⋊D₄) = C₃²×D₆⋊C₄	central extension (φ=1)	144		C2.2(C3^2xC3:D4)	432,474
C₂.₃(C₃²×C₃⋊D₄) = C₃²×C₆.D₄	central extension (φ=1)	72		C2.3(C3^2xC3:D4)	432,479
C₂.₄(C₃²×C₃⋊D₄) = C₃²×D₄⋊S₃	central stem extension (φ=1)	72		C2.4(C3^2xC3:D4)	432,475
C₂.₅(C₃²×C₃⋊D₄) = C₃²×D₄.S₃	central stem extension (φ=1)	72		C2.5(C3^2xC3:D4)	432,476
C₂.₆(C₃²×C₃⋊D₄) = C₃²×Q₈⋊₂S₃	central stem extension (φ=1)	144		C2.6(C3^2xC3:D4)	432,477
C₂.₇(C₃²×C₃⋊D₄) = C₃²×C₃⋊Q₁₆	central stem extension (φ=1)	144		C2.7(C3^2xC3:D4)	432,478

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁