C₂×H(5,𝔽₂)×#64408 #34032700

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂⁵×C₄ · Schur multiplier (H₂) = C₂¹⁴

Aliases

direct product	C₂×H(5,𝔽₂)×#64408
unambiguous semidirect product	D₇₃⋊(C₄×H(5,𝔽₂))

Fitting	C₂×H(5,𝔽₂)×C₇₃ ⋊ C₄
Sylow	C₇₃ ⋊ C₂×C₄×H(5,𝔽₂)

12378 conjugacy classes of subgroups.

μ_t(G) = 1168

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 1116284);