Extensions 1→N→G→Q→1 with N=C₂² and Q=Dic₁₇

Direct product G=N×Q with N=C₂² and Q=Dic₁₇

		d	ρ	Label	ID
C₂²×Dic₁₇		272		C2^2xDic17	272,44

Semidirect products G=N:Q with N=C₂² and Q=Dic₁₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊Dic₁₇ = C₂³.D₁₇	φ: Dic₁₇/C₃₄ → C₂ ⊆ Aut C₂²	136		C2^2:Dic17	272,19

Non-split extensions G=N.Q with N=C₂² and Q=Dic₁₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².Dic₁₇ = C₆₈.₄C₄	φ: Dic₁₇/C₃₄ → C₂ ⊆ Aut C₂²	136	2	C2^2.Dic17	272,10
C₂².₂Dic₁₇ = C₂×C₁₇⋊₃C₈	central extension (φ=1)	272		C2^2.2Dic17	272,9

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C22 and Q=Dic17