#28493345

order	15104
automorphism	?
homology	Abelianization (H₁) = C₂³ · Schur multiplier (H₂) = C₂²

Aliases

No aliases for this group.

Fitting	C₅₉×#1950 ⋊ C₂
Sylow	C₅₉ ⋊ #10607

374 conjugacy classes of subgroups; only the 99 normal subgroups are shown.

normal subgroups only

This group has 374 conjugacy classes of subgroups — too many to draw. Only its 99 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

μ_t(G) = 3776

Polycyclic presentation:

2^8,59|a^2=deh,b^2=d,d^2=g,e^2=h,b^a=bd,c^a=ce,d^a=dg,e^a=eg,f^a=fg,i^a=i^58,c^b=cf,f^b=fg,d^c=dg,e^c=eh,i^c=i^58

1139 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15104, 74224);