Extensions 1→N→G→Q→1 with N=C₄ and Q=He₃:₃C₄

Direct product G=NxQ with N=C₄ and Q=He₃:₃C₄

		d	ρ	Label	ID
C₄xHe₃:₃C₄		144		C4xHe3:3C4	432,186

Semidirect products G=N:Q with N=C₄ and Q=He₃:₃C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:(He₃:₃C₄) = C₆².₃₀D₆	φ: He₃:₃C₄/C₂xHe₃ → C₂ ⊆ Aut C₄	144		C4:(He3:3C4)	432,188

Non-split extensions G=N.Q with N=C₄ and Q=He₃:₃C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(He₃:₃C₄) = He₃:₈M₄(2)	φ: He₃:₃C₄/C₂xHe₃ → C₂ ⊆ Aut C₄	72	6	C4.(He3:3C4)	432,185
C₄.₂(He₃:₃C₄) = He₃:₄C₁₆	central extension (φ=1)	144	3	C4.2(He3:3C4)	432,33
C₄.₃(He₃:₃C₄) = C₂xHe₃:₄C₈	central extension (φ=1)	144		C4.3(He3:3C4)	432,184

Extensions 1→N→G→Q→1 with N=C4 and Q=He3:3C4