Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#16838199 |
| Fitting | C2×#135×C59 ⋊ C2 |
| Sylow | C59 ⋊ C2×#575 |
1484 conjugacy classes of subgroups.
856 conjugacy classes — view the full character table.
| maximal subgroup of | #28504363, #28504366, #28504368, … |
| maximal normal subgroup of | #28504363, #28504366, #28504368, … |
| maximal quotient of | C2×#21432611, C2×#21432684, C2×#21432892, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 19254);