Finite Group DatabasebetaFinite Group Databasebeta| order | 17728 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | #108×D277 |
| Fitting | #108×C277 ⋊ C2 |
| Sylow | C277 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4432 |
1960 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #359×D277, #47984893, #361×D277, … |
| maximal normal subgroup of | #359×D277, #47984893, #361×D277, … |
| maximal quotient of | #334×D277, #335×D277, #47981912, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17728, 593);