Extensions 1→N→G→Q→1 with N=C₂² and Q=He₃⋊C₄

Direct product G=N×Q with N=C₂² and Q=He₃⋊C₄

		d	ρ	Label	ID
C₂²×He₃⋊C₄		72		C2^2xHe3:C4	432,543

Semidirect products G=N:Q with N=C₂² and Q=He₃⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(He₃⋊C₄) = C₂²⋊(He₃⋊C₄)	φ: He₃⋊C₄/He₃⋊C₂ → C₂ ⊆ Aut C₂²	36	6	C2^2:(He3:C4)	432,279

Non-split extensions G=N.Q with N=C₂² and Q=He₃⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(He₃⋊C₄) = He₃⋊₄M₄(2)	φ: He₃⋊C₄/He₃⋊C₂ → C₂ ⊆ Aut C₂²	72	6	C2^2.(He3:C4)	432,278
C₂².₂(He₃⋊C₄) = C₂×He₃⋊₂C₈	central extension (φ=1)	144		C2^2.2(He3:C4)	432,277

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Extensions 1→N→G→Q→1 with N=C22 and Q=He3⋊C4