Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #367×D59 |
| Fitting | C59×#367 ⋊ C2 |
| Sylow | C59 ⋊ C2×#367 |
168 conjugacy classes of subgroups.
682 conjugacy classes — view the full character table.
| maximal subgroup of | D59×#1418, D59×#1426, C2×#367×D59, … |
| maximal normal subgroup of | D59×#1418, D59×#1426, C2×#367×D59, … |
| maximal quotient of | D59×#1372, #28500332, #28500372, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 6288);