Finite Group DatabasebetaFinite Group Databasebeta| order | 17728 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#22579887 |
| Sylow | C277 ⋊ C2×#131 |
266 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8864 |
2800 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #47982969, #47982970, #47983005, … |
| maximal normal subgroup of | #47982969, #47982970, #47983005, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17728, 1312);