Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#14273755 |
| Fitting | C4×M16×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 | #28483312, #28483314, #28483326, … |
| maximal normal subgroup of | #28483312, #28483314, #28483326, … |
| maximal quotient of | C8×#14273755, #28558276, #28558298, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 13322);