Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| isoclinism | isoclinic class of #4323 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C42×#4326 |
| Sylow | C11 ⋊ C42×Q16 |
1110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2816 |
512 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 168044);