Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| isoclinism | isoclinic class of #4314 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C211 |
| direct product | C23×#66885 |
| Fitting | C24×C8×C11 ⋊ C2 |
| Sylow | C11 ⋊ C23×#102 |
7646 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
752 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 1033077);