Extensions 1→N→G→Q→1 with N=C₉ and Q=Dic₃⋊C₄

Direct product G=N×Q with N=C₉ and Q=Dic₃⋊C₄

		d	ρ	Label	ID
C₉×Dic₃⋊C₄		144		C9xDic3:C4	432,132

Semidirect products G=N:Q with N=C₉ and Q=Dic₃⋊C₄

extension	φ:Q→Aut N	d	Label	ID
C₉⋊₁(Dic₃⋊C₄) = C₁₈.Dic₆	φ: Dic₃⋊C₄/C₂×Dic₃ → C₂ ⊆ Aut C₉	144	C9:1(Dic3:C4)	432,89
C₉⋊₂(Dic₃⋊C₄) = Dic₃⋊Dic₉	φ: Dic₃⋊C₄/C₂×Dic₃ → C₂ ⊆ Aut C₉	144	C9:2(Dic3:C4)	432,90
C₉⋊₃(Dic₃⋊C₄) = C₆.Dic₁₈	φ: Dic₃⋊C₄/C₂×C₁₂ → C₂ ⊆ Aut C₉	432	C9:3(Dic3:C4)	432,181

Non-split extensions G=N.Q with N=C₉ and Q=Dic₃⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(Dic₃⋊C₄) = Dic₂₇⋊C₄	φ: Dic₃⋊C₄/C₂×C₁₂ → C₂ ⊆ Aut C₉	432		C9.(Dic3:C4)	432,12

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C9 and Q=Dic3⋊C4