Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂²×He₃

Direct product G=N×Q with N=C₂ and Q=C₂²×He₃

		d	ρ	Label	ID
C₂³×He₃		72		C2^3xHe3	216,115

Non-split extensions G=N.Q with N=C₂ and Q=C₂²×He₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂²×He₃) = C₂×C₄×He₃	central extension (φ=1)	72		C2.1(C2^2xHe3)	216,74
C₂.₂(C₂²×He₃) = D₄×He₃	central stem extension (φ=1)	36	6	C2.2(C2^2xHe3)	216,77
C₂.₃(C₂²×He₃) = Q₈×He₃	central stem extension (φ=1)	72	6	C2.3(C2^2xHe3)	216,80

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C2 and Q=C22×He3