Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C26 · Schur multiplier (H2) = C211×C42 |
| direct product | C2×D11×H(3,𝔽4) |
| Fitting | C2×C11×H(3,𝔽4) ⋊ C2 |
| Sylow | C11 ⋊ C22×H(3,𝔽4) |
10246 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
266 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 1076439);