Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#16837782 |
| Sylow | C59 ⋊ C2×#494 |
552 conjugacy classes of subgroups.
1900 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28483994, #28487928, #28487930, … |
| maximal normal subgroup of | #28483994, #28487928, #28487930, … |
| maximal quotient of | C2×#21423693, C2×#21423706, C2×#21423714, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 14926);