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

Direct product G=N×Q with N=C₄ and Q=He₃⋊₃C₄

		d	ρ	Label	ID
C₄×He₃⋊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/C₂×He₃ → 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/C₂×He₃ → 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) = C₂×He₃⋊₄C₈	central extension (φ=1)	144		C4.3(He3:3C4)	432,184

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