Extensions 1→N→G→Q→1 with N=C₁₃ and Q=C₃×Dic₃

Direct product G=N×Q with N=C₁₃ and Q=C₃×Dic₃

		d	ρ	Label	ID
Dic₃×C₃₉		156	2	Dic3xC39	468,24

Semidirect products G=N:Q with N=C₁₃ and Q=C₃×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₃⋊(C₃×Dic₃) = C₃⋊F₁₃	φ: C₃×Dic₃/C₃ → C₁₂ ⊆ Aut C₁₃	39	12	C13:(C3xDic3)	468,30
C₁₃⋊₂(C₃×Dic₃) = C₃₉⋊₃C₁₂	φ: C₃×Dic₃/C₆ → C₆ ⊆ Aut C₁₃	156	6-	C13:2(C3xDic3)	468,21
C₁₃⋊₃(C₃×Dic₃) = C₃×C₃₉⋊C₄	φ: C₃×Dic₃/C₃² → C₄ ⊆ Aut C₁₃	78	4	C13:3(C3xDic3)	468,37
C₁₃⋊₄(C₃×Dic₃) = Dic₃×C₁₃⋊C₃	φ: C₃×Dic₃/Dic₃ → C₃ ⊆ Aut C₁₃	156	6	C13:4(C3xDic3)	468,20
C₁₃⋊₅(C₃×Dic₃) = C₃×Dic₃₉	φ: C₃×Dic₃/C₃×C₆ → C₂ ⊆ Aut C₁₃	156	2	C13:5(C3xDic3)	468,25

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁