Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C4 |
| direct product | C2×#16837460 |
| Sylow | C59 ⋊ C2×#433 |
412 conjugacy classes of subgroups.
1216 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28497892, C4×#16837460, #28586837, … |
| maximal normal subgroup of | #28497892, C4×#16837460, #28586837, … |
| maximal quotient of | C2×#21423846, C2×#21423864, C2×#21423952, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 13133);