Finite Group DatabasebetaFinite Group Databasebeta| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | Q8×#14523970 |
| Sylow | C67 ⋊ Q8×#104 |
1096 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4288 |
1720 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17152, 186267);