#28751934

order	15104
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂⁸

Aliases

No aliases for this group.

Fitting	C₅₉×#2349 ⋊ C₂
Sylow	C₅₉ ⋊ #34398

2538 conjugacy classes of subgroups.

μ_t(G) = 7552

Polycyclic presentation:

2^8,59|a^2=h,d^2=fg,e^2=g,b^a=bf,c^a=cg,d^a=dg,e^a=ef,i^a=i^58,c^b=cg,d^b=df,i^c=i^58,i^d=i^58

1526 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15104, 332813);