Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C28 |
| direct product | C4×#10623152 |
| Fitting | C4×C11×#121 ⋊ C2 |
| Sylow | C11 ⋊ C4×#562 |
2248 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
356 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 332261);