Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
No aliases for this group.
| Sylow | C59 ⋊ #14697 |
2574 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7552 |
Polycyclic presentation:
2^8,59|a^2=h,b^2=h,c^2=f,b^a=be,c^a=cf,d^a=dg,i^b=i^581712 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 100810);