Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×D₈

Direct product G=N×Q with N=C₃ and Q=C₃×D₈

		d	ρ	Label	ID
C₃²×D₈		72		C3^2xD8	144,106

Semidirect products G=N:Q with N=C₃ and Q=C₃×D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃×D₈) = C₃×D₂₄	φ: C₃×D₈/C₂₄ → C₂ ⊆ Aut C₃	48	2	C3:1(C3xD8)	144,72
C₃⋊₂(C₃×D₈) = C₃×D₄⋊S₃	φ: C₃×D₈/C₃×D₄ → C₂ ⊆ Aut C₃	24	4	C3:2(C3xD8)	144,80

Non-split extensions G=N.Q with N=C₃ and Q=C₃×D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃×D₈) = C₉×D₈	central extension (φ=1)	72	2	C3.(C3xD8)	144,25

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Extensions 1→N→G→Q→1 with N=C3 and Q=C3×D8