Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#14273759 |
| Fitting | C4×Q16×C59 ⋊ C2 |
| Sylow | C59 ⋊ C4×#137 |
484 conjugacy classes of subgroups.
856 conjugacy classes — view the full character table.
| maximal subgroup of | #28558111, C8×#14273759, #28558133, … |
| maximal normal subgroup of | #28558111, C8×#14273759, #28558133, … |
| maximal quotient of | C8×#14273759, #28558284, #28558304, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 13330);