Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂×C₃²⋊C₆

Direct product G=N×Q with N=C₂ and Q=C₂×C₃²⋊C₆

		d	ρ	Label	ID
C₂²×C₃²⋊C₆		36		C2^2xC3^2:C6	216,110

Non-split extensions G=N.Q with N=C₂ and Q=C₂×C₃²⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂×C₃²⋊C₆) = C₄×C₃²⋊C₆	central extension (φ=1)	36	6	C2.1(C2xC3^2:C6)	216,50
C₂.₂(C₂×C₃²⋊C₆) = C₂×C₃²⋊C₁₂	central extension (φ=1)	72		C2.2(C2xC3^2:C6)	216,59
C₂.₃(C₂×C₃²⋊C₆) = He₃⋊₃Q₈	central stem extension (φ=1)	72	6-	C2.3(C2xC3^2:C6)	216,49
C₂.₄(C₂×C₃²⋊C₆) = He₃⋊₄D₄	central stem extension (φ=1)	36	6+	C2.4(C2xC3^2:C6)	216,51
C₂.₅(C₂×C₃²⋊C₆) = He₃⋊₆D₄	central stem extension (φ=1)	36	6	C2.5(C2xC3^2:C6)	216,60

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁