Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C22×C22⋊C8×C59 ⋊ C2 |
| Sylow | C59 ⋊ #23479 |
1610 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3776 |
Polycyclic presentation:
2^8,59|c^2=e,d^2=h,f^2=h,b^a=be,c^a=cf,f^a=fh,i^a=i^58,c^b=cg,f^c=fh,i^c=i^582384 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 197051);