Finite Group DatabasebetaFinite Group Databasebeta| order | 27712 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#28357209 |
| Fitting | C22×Q8×C433 ⋊ C2 |
| Sylow | C433 ⋊ C2×#124 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 13856 |
4348 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(27712, 1067);