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

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

		d	ρ	Label	ID
Q₈×C₃×C₉		216		Q8xC3xC9	216,79

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊(C₃×Q₈) = C₃₆.C₆	φ: C₃×Q₈/C₄ → C₆ ⊆ Aut C₉	72	6-	C9:(C3xQ8)	216,52
C₉⋊₂(C₃×Q₈) = Q₈×3_-¹⁺²	φ: C₃×Q₈/Q₈ → C₃ ⊆ Aut C₉	72	6	C9:2(C3xQ8)	216,81
C₉⋊₃(C₃×Q₈) = C₃×Dic₁₈	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Aut C₉	72	2	C9:3(C3xQ8)	216,43

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(C₃×Q₈) = Q₈×C₂₇	central extension (φ=1)	216	2	C9.(C3xQ8)	216,11

⋊

ℤ

𝔽

○

≀

ℚ

◁

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