Finite Group DatabasebetaFinite Group Databasebeta| order | 17728 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#17984553 |
| Sylow | C277 ⋊ C22×Q16 |
258 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17728 |
2788 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #47983505, #47983506, #47983508, … |
| maximal normal subgroup of | #47983505, #47983506, #47983508, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17728, 1325);