Extensions 1→N→G→Q→1 with N=C₃ and Q=C₈⋊S₃

Direct product G=N×Q with N=C₃ and Q=C₈⋊S₃

		d	ρ	Label	ID
C₃×C₈⋊S₃		48	2	C3xC8:S3	144,70

Semidirect products G=N:Q with N=C₃ and Q=C₈⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₈⋊S₃) = C₁₂.₃₁D₆	φ: C₈⋊S₃/C₃⋊C₈ → C₂ ⊆ Aut C₃	24	4	C3:1(C8:S3)	144,55
C₃⋊₂(C₈⋊S₃) = C₂₄⋊S₃	φ: C₈⋊S₃/C₂₄ → C₂ ⊆ Aut C₃	72		C3:2(C8:S3)	144,86
C₃⋊₃(C₈⋊S₃) = D₆.Dic₃	φ: C₈⋊S₃/C₄×S₃ → C₂ ⊆ Aut C₃	48	4	C3:3(C8:S3)	144,54

Non-split extensions G=N.Q with N=C₃ and Q=C₈⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₈⋊S₃) = C₈⋊D₉	φ: C₈⋊S₃/C₂₄ → C₂ ⊆ Aut C₃	72	2	C3.(C8:S3)	144,6

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C3 and Q=C8⋊S3