Finite Group DatabasebetaFinite Group Databasebeta| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C27 |
| direct product | C22×#16863166 |
| Sylow | C67 ⋊ C22×#344 |
2190 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4288 |
2728 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17152, 167020);