Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×(C2×#3633)⋊Q8 |
| Fitting | C22×Q8×C17 ⋊ C8 |
| Sylow | C17 ⋊ C2×#1984 |
1502 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
152 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1118153);