Extensions 1→N→G→Q→1 with N=C₈ and Q=C₃×D₉

Direct product G=N×Q with N=C₈ and Q=C₃×D₉

		d	ρ	Label	ID
D₉×C₂₄		144	2	D9xC24	432,105

Semidirect products G=N:Q with N=C₈ and Q=C₃×D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁(C₃×D₉) = C₃×D₇₂	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Aut C₈	144	2	C8:1(C3xD9)	432,108
C₈⋊₂(C₃×D₉) = C₃×C₇₂⋊C₂	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Aut C₈	144	2	C8:2(C3xD9)	432,107
C₈⋊₃(C₃×D₉) = C₃×C₈⋊D₉	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Aut C₈	144	2	C8:3(C3xD9)	432,106

Non-split extensions G=N.Q with N=C₈ and Q=C₃×D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.(C₃×D₉) = C₃×Dic₃₆	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Aut C₈	144	2	C8.(C3xD9)	432,104
C₈.₂(C₃×D₉) = C₃×C₉⋊C₁₆	central extension (φ=1)	144	2	C8.2(C3xD9)	432,28

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C8 and Q=C3×D9