Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | #453×#595 |
| Fitting | C17×#453 ⋊ C4 |
| Sylow | C17 ⋊ C4×#453 |
1578 conjugacy classes of subgroups.
| transitive degree | μt(G) = 136 |
128 conjugacy classes — view the full character table.
| maximal subgroup of | #453×#3633, #595×#5935 |
| maximal normal subgroup of | #453×#3633 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1106458);