Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C26×C4 |
| direct product | C4×C22⋊C4×D59 |
| Fitting | C4×C22⋊C4×C59 ⋊ C2 |
| Sylow | C59 ⋊ C2×C4×C22⋊C4 |
1360 conjugacy classes of subgroups.
1240 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D59×#1282, #28478359, D59×#1284, … |
| maximal normal subgroup of | D59×#1282, #28478359, D59×#1284, … |
| maximal quotient of | C4×#95×D59, C4×#16837249, C4×C22⋊C4×Dic59, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 6838);