Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
| direct product | Q16×#4313 |
| Fitting | C8×C11×Q16 ⋊ C2 |
| Sylow | C11 ⋊ M16×Q16 |
638 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
350 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 141023);