Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| isoclinism | isoclinic class of Dic22 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C8 · Schur multiplier (H2) = C29 |
| direct product | C22×C8×Dic22 |
| Sylow | C11 ⋊ C22×C8×Q8 |
2478 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2816 |
800 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 1033919);