Finite Group DatabasebetaFinite Group Databasebeta| order | 17728 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#22579948 |
| unambiguous semidirect product | D277⋊#106 |
| Fitting | C2×C8×C277 ⋊ C4 |
| Sylow | C277 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4432 |
1132 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17728, 1557);