Finite Group DatabasebetaFinite Group Databasebeta| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C8 · Schur multiplier (H2) = C25×C4 |
| direct product | C4×C8×C22⋊D67 |
| Fitting | C22×C4×C8×C67 ⋊ C2 |
| Sylow | C67 ⋊ C4×C8×D4 |
1422 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8576 |
4384 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17152, 167879);