Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28×C4 |
| direct product | C2×#13073587 |
| Fitting | C2×C4×C11×C4⋊C4 ⋊ C2 |
| Sylow | C11 ⋊ C2×#2544 |
4174 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
476 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 340728);