Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#13067126 |
| Sylow | C11 ⋊ C2×#1506 |
1130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
254 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 136716);