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

Direct product G=NxQ with N=C₂² and Q=He₃:C₄

		d	ρ	Label	ID
C₂²xHe₃: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) = C₂xHe₃:₂C₈	central extension (φ=1)	144		C2^2.2(He3:C4)	432,277

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