Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | #339×D59 |
| Fitting | C59×#339 ⋊ C2 |
| Sylow | C59 ⋊ C2×#339 |
488 conjugacy classes of subgroups.
868 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#339×D59, D59×#1733, #28586078, … |
| maximal normal subgroup of | C2×#339×D59, D59×#1733, #28586078, … |
| maximal quotient of | D59×#1276, #28478129, #28478135, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 4214);