Extensions 1→N→G→Q→1 with N=C₆ and Q=C₉⋊C₈

Direct product G=N×Q with N=C₆ and Q=C₉⋊C₈

		d	ρ	Label	ID
C₆×C₉⋊C₈		144		C6xC9:C8	432,124

Semidirect products G=N:Q with N=C₆ and Q=C₉⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₉⋊C₈) = C₂×C₃₆.S₃	φ: C₉⋊C₈/C₃₆ → C₂ ⊆ Aut C₆	432		C6:(C9:C8)	432,178

Non-split extensions G=N.Q with N=C₆ and Q=C₉⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₉⋊C₈) = C₂₇⋊C₁₆	φ: C₉⋊C₈/C₃₆ → C₂ ⊆ Aut C₆	432	2	C6.1(C9:C8)	432,1
C₆.₂(C₉⋊C₈) = C₂×C₂₇⋊C₈	φ: C₉⋊C₈/C₃₆ → C₂ ⊆ Aut C₆	432		C6.2(C9:C8)	432,9
C₆.₃(C₉⋊C₈) = C₇₂.S₃	φ: C₉⋊C₈/C₃₆ → C₂ ⊆ Aut C₆	432		C6.3(C9:C8)	432,32
C₆.₄(C₉⋊C₈) = C₃×C₉⋊C₁₆	central extension (φ=1)	144	2	C6.4(C9:C8)	432,28

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Extensions 1→N→G→Q→1 with N=C6 and Q=C9⋊C8