Finite Group DatabasebetaFinite Group Databasebeta| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C32 · Schur multiplier (H2) = C23 |
| direct product | C2×C4⋊(C67⋊C32) |
| Sylow | C67 ⋊ C2×C4⋊C32 |
230 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17152 |
4384 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17152, 90048);