Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | M16×#63218 |
| Fitting | C8×M16×C17 ⋊ C2 |
| Sylow | C17 ⋊ M162 |
900 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
740 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 135276);