Finite Group DatabasebetaFinite Group Databasebeta| order | 17728 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×Dic1108 |
| Sylow | C277 ⋊ C22×Q16 |
258 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17728 |
4444 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #47983507, #47983509, #47984026, … |
| maximal normal subgroup of | #47983507, #47983509, #47984026, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17728, 1326);