Finite Group DatabasebetaFinite Group Databasebeta| order | 17728 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | C2×#22579791 |
| Sylow | C277 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17728 |
4456 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #47980997, #47981011, #47981048, … |
| maximal normal subgroup of | #47980997, #47981011, #47981048, … |
| maximal quotient of | C2×#31799724, #47981454, #47981459, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17728, 498);