Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×Dic₁₇

Direct product G=N×Q with N=C₃ and Q=C₂×Dic₁₇

		d	ρ	Label	ID
C₆×Dic₁₇		408		C6xDic17	408,18

Semidirect products G=N:Q with N=C₃ and Q=C₂×Dic₁₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×Dic₁₇) = S₃×Dic₁₇	φ: C₂×Dic₁₇/Dic₁₇ → C₂ ⊆ Aut C₃	204	4-	C3:1(C2xDic17)	408,8
C₃⋊₂(C₂×Dic₁₇) = C₂×Dic₅₁	φ: C₂×Dic₁₇/C₂×C₃₄ → C₂ ⊆ Aut C₃	408		C3:2(C2xDic17)	408,28

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁