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

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

		d	ρ	Label	ID
C₂²×He₃⋊C₂		36		C2^2xHe3:C2	216,113

Semidirect products G=N:Q with N=C₂² and Q=He₃⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(He₃⋊C₂) = C₃²⋊S₄	φ: He₃⋊C₂/C₃² → S₃ ⊆ Aut C₂²	18	3	C2^2:(He3:C2)	216,95
C₂²⋊₂(He₃⋊C₂) = He₃⋊₇D₄	φ: He₃⋊C₂/He₃ → C₂ ⊆ Aut C₂²	36	6	C2^2:2(He3:C2)	216,72

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(He₃⋊C₂) = C₂×He₃⋊₃C₄	central extension (φ=1)	72		C2^2.(He3:C2)	216,71

⋊

ℤ

𝔽

○

≀

ℚ

◁

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