Extensions 1→N→G→Q→1 with N=C₉ and Q=C₃×D₈

Direct product G=N×Q with N=C₉ and Q=C₃×D₈

		d	ρ	Label	ID
D₈×C₃×C₉		216		D8xC3xC9	432,215

Semidirect products G=N:Q with N=C₉ and Q=C₃×D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁(C₃×D₈) = D₇₂⋊C₃	φ: C₃×D₈/C₈ → C₆ ⊆ Aut C₉	72	6+	C9:1(C3xD8)	432,123
C₉⋊₂(C₃×D₈) = D₃₆⋊C₆	φ: C₃×D₈/D₄ → C₆ ⊆ Aut C₉	72	12+	C9:2(C3xD8)	432,155
C₉⋊₃(C₃×D₈) = D₈×3_-¹⁺²	φ: C₃×D₈/D₈ → C₃ ⊆ Aut C₉	72	6	C9:3(C3xD8)	432,217
C₉⋊₄(C₃×D₈) = C₃×D₇₂	φ: C₃×D₈/C₂₄ → C₂ ⊆ Aut C₉	144	2	C9:4(C3xD8)	432,108
C₉⋊₅(C₃×D₈) = C₃×D₄⋊D₉	φ: C₃×D₈/C₃×D₄ → C₂ ⊆ Aut C₉	72	4	C9:5(C3xD8)	432,149

Non-split extensions G=N.Q with N=C₉ and Q=C₃×D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(C₃×D₈) = D₈×C₂₇	central extension (φ=1)	216	2	C9.(C3xD8)	432,25

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁