Extensions 1→N→G→Q→1 with N=C₁₇ and Q=C₄⋊C₄

Direct product G=N×Q with N=C₁₇ and Q=C₄⋊C₄

		d	ρ	Label	ID
C₄⋊C₄×C₁₇		272		C4:C4xC17	272,22

Semidirect products G=N:Q with N=C₁₇ and Q=C₄⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₇⋊(C₄⋊C₄) = C₆₈⋊C₄	φ: C₄⋊C₄/C₄ → C₄ ⊆ Aut C₁₇	68	4	C17:(C4:C4)	272,32
C₁₇⋊₂(C₄⋊C₄) = C₃₄.D₄	φ: C₄⋊C₄/C₂×C₄ → C₂ ⊆ Aut C₁₇	272		C17:2(C4:C4)	272,12
C₁₇⋊₃(C₄⋊C₄) = C₆₈⋊₃C₄	φ: C₄⋊C₄/C₂×C₄ → C₂ ⊆ Aut C₁₇	272		C17:3(C4:C4)	272,13

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁