Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | D4×D17⋊M16 |
| unambiguous semidirect product | D17⋊(D4×M16) |
| Sylow | C17 ⋊ C2×D4×M16 |
3218 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
260 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1114937);