Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×Q₈⋊C₉

Direct product G=N×Q with N=C₃ and Q=C₂×Q₈⋊C₉

		d	ρ	Label	ID
C₆×Q₈⋊C₉		432		C6xQ8:C9	432,334

Semidirect products G=N:Q with N=C₃ and Q=C₂×Q₈⋊C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₂×Q₈⋊C₉) = S₃×Q₈⋊C₉	φ: C₂×Q₈⋊C₉/Q₈⋊C₉ → C₂ ⊆ Aut C₃	144	4	C3:(C2xQ8:C9)	432,268

Non-split extensions G=N.Q with N=C₃ and Q=C₂×Q₈⋊C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂×Q₈⋊C₉) = C₂×Q₈⋊C₂₇	central extension (φ=1)	432		C3.(C2xQ8:C9)	432,41

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Extensions 1→N→G→Q→1 with N=C3 and Q=C2×Q8⋊C9