Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#16837364 |
| Fitting | C2×C22⋊C8×C59 ⋊ C2 |
| Sylow | C59 ⋊ C2×#407 |
1008 conjugacy classes of subgroups.
1216 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28478287, #28478293, #28478299, … |
| maximal normal subgroup of | #28478287, #28478293, #28478299, … |
| maximal quotient of | C2×#21422421, C2×#21422424, C2×#21422427, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 12944);