Extensions 1→N→G→Q→1 with N=C₈ and Q=D₉

Direct product G=N×Q with N=C₈ and Q=D₉

		d	ρ	Label	ID
C₈×D₉		72	2	C8xD9	144,5

Semidirect products G=N:Q with N=C₈ and Q=D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁D₉ = D₇₂	φ: D₉/C₉ → C₂ ⊆ Aut C₈	72	2+	C8:1D9	144,8
C₈⋊₂D₉ = C₇₂⋊C₂	φ: D₉/C₉ → C₂ ⊆ Aut C₈	72	2	C8:2D9	144,7
C₈⋊₃D₉ = C₈⋊D₉	φ: D₉/C₉ → C₂ ⊆ Aut C₈	72	2	C8:3D9	144,6

Non-split extensions G=N.Q with N=C₈ and Q=D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.D₉ = Dic₃₆	φ: D₉/C₉ → C₂ ⊆ Aut C₈	144	2-	C8.D9	144,4
C₈.₂D₉ = C₉⋊C₁₆	central extension (φ=1)	144	2	C8.2D9	144,1

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C8 and Q=D9