Finite Group DatabasebetaFinite Group Databasebeta| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C4×#16864044 |
| Fitting | C4×#123×C67 ⋊ C2 |
| Sylow | C67 ⋊ C4×#547 |
3268 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8576 |
1948 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17152, 329400);