Finite Group DatabasebetaFinite Group Databasebeta| order | 17728 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#22579871 |
| Sylow | C277 ⋊ C2×#125 |
226 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17728 |
2788 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #47984121, #47984123, #47984130, … |
| maximal normal subgroup of | #47984121, #47984123, #47984130, … |
| maximal quotient of | C2×#31799867, C2×#31799885, C2×#31799889, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17728, 1070);