Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#135×D59 |
| Fitting | C2×#135×C59 ⋊ C2 |
| Sylow | C59 ⋊ C22×#135 |
1504 conjugacy classes of subgroups.
868 conjugacy classes — view the full character table.
| maximal subgroup of | #28504342, #28504346, D59×#1876, … |
| maximal normal subgroup of | #28504342, #28504346, D59×#1876, … |
| maximal quotient of | C2×#416×D59, C2×#427×D59, C2×C4×D8×D59, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 19234);