Finite Group DatabasebetaFinite Group Databasebeta| order | 17728 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#22579816 |
| Sylow | C277 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8864 |
4444 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #47981260, #47981261, #47981262, … |
| maximal normal subgroup of | #47981260, #47981261, #47981262, … |
| maximal quotient of | C2×#31799753, C2×#31799755, #47981915, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17728, 595);