Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C27×C4 |
| direct product | #555×Dic61 |
| Sylow | C61 ⋊ C4×#555 |
2564 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7808 |
1600 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15616, 329512);