Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C27×C4 |
| direct product | C2×#13071381 |
| Fitting | C2×C4×C11×C22⋊C4 ⋊ C2 |
| Sylow | C11 ⋊ C2×#2333 |
3414 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
488 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 328435);