Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C25 |
| direct product | Q8×#66867 |
| Sylow | C11 ⋊ Q8×#97 |
954 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2816 |
500 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 168237);