Extensions 1→N→G→Q→1 with N=C₄ and Q=C₉⋊C₈

Direct product G=N×Q with N=C₄ and Q=C₉⋊C₈

		d	ρ	Label	ID
C₄×C₉⋊C₈		288		C4xC9:C8	288,9

Semidirect products G=N:Q with N=C₄ and Q=C₉⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₉⋊C₈) = C₃₆⋊C₈	φ: C₉⋊C₈/C₃₆ → C₂ ⊆ Aut C₄	288		C4:(C9:C8)	288,11

Non-split extensions G=N.Q with N=C₄ and Q=C₉⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₉⋊C₈) = C₃₆.C₈	φ: C₉⋊C₈/C₃₆ → C₂ ⊆ Aut C₄	144	2	C4.(C9:C8)	288,19
C₄.₂(C₉⋊C₈) = C₉⋊C₃₂	central extension (φ=1)	288	2	C4.2(C9:C8)	288,1
C₄.₃(C₉⋊C₈) = C₂×C₉⋊C₁₆	central extension (φ=1)	288		C4.3(C9:C8)	288,18

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Extensions 1→N→G→Q→1 with N=C4 and Q=C9⋊C8