Extensions 1→N→G→Q→1 with N=C₄ and Q=He₃⋊C₂

Direct product G=N×Q with N=C₄ and Q=He₃⋊C₂

		d	ρ	Label	ID
C₄×He₃⋊C₂		36	3	C4xHe3:C2	216,67

Semidirect products G=N:Q with N=C₄ and Q=He₃⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(He₃⋊C₂) = He₃⋊₅D₄	φ: He₃⋊C₂/He₃ → C₂ ⊆ Aut C₄	36	6	C4:(He3:C2)	216,68

Non-split extensions G=N.Q with N=C₄ and Q=He₃⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(He₃⋊C₂) = He₃⋊₄Q₈	φ: He₃⋊C₂/He₃ → C₂ ⊆ Aut C₄	72	6	C4.(He3:C2)	216,66
C₄.₂(He₃⋊C₂) = He₃⋊₄C₈	central extension (φ=1)	72	3	C4.2(He3:C2)	216,17

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Extensions 1→N→G→Q→1 with N=C4 and Q=He3⋊C2