Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C24 |
| direct product | Q8×#66862 |
| Fitting | Q8×C11×C16 ⋊ C2 |
| Sylow | C11 ⋊ Q8×M32 |
530 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
500 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 323078);