Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4 |
| direct product | #104×C11⋊C8 |
| Sylow | C11 ⋊ C8×#104 |
554 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
392 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 60277);