Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4 |
| direct product | #104×#3633 |
| Fitting | C17×#104 ⋊ C8 |
| Sylow | C17 ⋊ C8×#104 |
554 conjugacy classes of subgroups.
| transitive degree | μt(G) = 136 |
140 conjugacy classes — view the full character table.
| maximal subgroup of | #453×#3633, #104×AGL(1,𝔽17), #72242859 |
| maximal normal subgroup of | #453×#3633, #104×AGL(1,𝔽17), #72242859 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1116859);