Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#14273751 |
| Fitting | C4×D8×C59 ⋊ C2 |
| Sylow | C59 ⋊ C4×AGL(1,ℤ/8) |
548 conjugacy classes of subgroups.
856 conjugacy classes — view the full character table.
| maximal subgroup of | C8×#14273751, #28558106, #28558120, … |
| maximal normal subgroup of | C8×#14273751, #28558106, #28558120, … |
| maximal quotient of | C8×#14273751, #28558267, #28558289, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 13313);