Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#14273752 |
| Fitting | C4×#41×C59 ⋊ C2 |
| Sylow | C59 ⋊ C4×AGL(1,ℤ/8) |
548 conjugacy classes of subgroups.
1204 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28483311, #28483313, #28483325, … |
| maximal normal subgroup of | #28483311, #28483313, #28483325, … |
| maximal quotient of | C8×#14273752, #28558270, #28558296, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 13316);