Extensions 1→N→G→Q→1 with N=C₂³ and Q=D₁₇

Direct product G=N×Q with N=C₂³ and Q=D₁₇

		d	ρ	Label	ID
C₂³×D₁₇		136		C2^3xD17	272,53

Semidirect products G=N:Q with N=C₂³ and Q=D₁₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊D₁₇ = C₂×C₁₇⋊D₄	φ: D₁₇/C₁₇ → C₂ ⊆ Aut C₂³	136		C2^3:D17	272,45

Non-split extensions G=N.Q with N=C₂³ and Q=D₁₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.D₁₇ = C₂³.D₁₇	φ: D₁₇/C₁₇ → C₂ ⊆ Aut C₂³	136		C2^3.D17	272,19
C₂³.₂D₁₇ = C₂²×Dic₁₇	central extension (φ=1)	272		C2^3.2D17	272,44

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C23 and Q=D17