Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| isoclinism | isoclinic class of Dic22 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C82 · Schur multiplier (H2) = C23×C8 |
| direct product | C8×(C2×D11)⋊C8 |
| Fitting | C2×C82×C11 ⋊ C2 |
| Sylow | C11 ⋊ C8×C22⋊C8 |
726 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
800 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 60034);