| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C22×C42 |
| direct product | C4×#16863456 |
| Fitting | C4×C4⋊C8×C67 ⋊ C2 |
| Sylow | C67 ⋊ C4×#433 |
970 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, 167714);