Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #100×Dic22 |
| Sylow | C11 ⋊ Q8×#100 |
1198 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
275 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 186129);