Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C8 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×#322×D59 |
| Fitting | C2×C59×#322 ⋊ C2 |
| Sylow | C59 ⋊ C22×#322 |
1182 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7552 |
2480 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 135135);