C₂×H(5,𝔽₂)×#595 #17981040

order	4352
automorphism	?
homology	Abelianization (H₁) = C₂⁵×C₄ · Schur multiplier (H₂) = C₂¹⁴

Aliases

direct product	C₂×H(5,𝔽₂)×#595
unambiguous semidirect product	D₁₇⋊(C₄×H(5,𝔽₂))

Fitting	C₂×C₁₇×H(5,𝔽₂) ⋊ C₄
Sylow	C₁₇ ⋊ C₂×C₄×H(5,𝔽₂)

12378 conjugacy classes of subgroups.

μ_t(G) = 272

272 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 1116284);