Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#14273746 |
| Fitting | C4×D8×C59 ⋊ C2 |
| Sylow | C59 ⋊ C4×#135 |
500 conjugacy classes of subgroups.
868 conjugacy classes — view the full character table.
| maximal subgroup of | #28498426, #28498431, #28498452, … |
| maximal normal subgroup of | #28498426, #28498431, #28498452, … |
| maximal quotient of | C8×#14273746, #28558213, #28558433, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 13277);