Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#16837384 |
| Fitting | C22×M16×C59 ⋊ C2 |
| Sylow | C59 ⋊ C2×#413 |
756 conjugacy classes of subgroups.
1204 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28494025, #28494028, #28494035, … |
| maximal normal subgroup of | #28494025, #28494028, #28494035, … |
| maximal quotient of | C2×#21422408, C2×#21422412, #28554500, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 12983);