Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C4×#10622344 |
| Fitting | C4×C11×C22⋊C8 ⋊ C2 |
| Sylow | C11 ⋊ C4×#450 |
1880 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
476 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 175152);