Finite Group DatabasebetaFinite Group Databasebeta| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C24×C4 |
| direct product | C8×#14524029 |
| Fitting | C8×C22⋊C4×C67 ⋊ C2 |
| Sylow | C67 ⋊ C8×#124 |
974 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8576 |
2752 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17152, 177429);