Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C8 · Schur multiplier (H2) = C25×C4 |
| direct product | C8×C4⋊C4×D11 |
| Fitting | C8×C11×C4⋊C4 ⋊ C2 |
| Sylow | C11 ⋊ C2×C8×C4⋊C4 |
1438 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
560 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 167494);