Finite Group DatabasebetaFinite Group Databasebeta| order | 17728 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#22579799 |
| Sylow | C277 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8864 |
2782 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #47981293, #47981294, C4×#22579799, … |
| maximal normal subgroup of | #47981293, #47981294, C4×#22579799, … |
| maximal quotient of | C2×#31799728, #47981491, #47981497, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17728, 529);