#28605378

order	15104
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁵

Aliases

No aliases for this group.

990 conjugacy classes of subgroups.

μ_t(G) = 15104

Polycyclic presentation:

2^8,59|a^2=g,b^2=e,c^2=h,d^2=eh,f^2=h,b^a=be,c^a=cf,f^a=fh,i^a=i^58,c^b=ch,d^b=de,f^c=fh,i^c=i^58,i^d=i^58

1160 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15104, 186257);