#28737320

order	15104
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁹

Aliases

No aliases for this group.

Fitting	C₂⁴×D₄×C₅₉ ⋊ C₂
Sylow	C₅₉ ⋊ #32878

6020 conjugacy classes of subgroups; only the 387 normal subgroups are shown.

normal subgroups only

This group has 6020 conjugacy classes of subgroups — too many to draw. Only its 387 normal subgroups are shown.

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

μ_t(G) = 1888

Polycyclic presentation:

2^8,59|e^2=h,b^a=be,c^a=cf,d^a=dg,e^a=eh,i^a=i^58,e^b=eh

2378 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15104, 318199);