Finite Group DatabasebetaFinite Group Databasebeta| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C82 · Schur multiplier (H2) = C23×C8 |
| direct product | C8×C22⋊(C67⋊C8) |
| Sylow | C67 ⋊ C8×C22⋊C8 |
726 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, 60033);