Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
| direct product | #482×D59 |
| Fitting | C59×#482 ⋊ C2 |
| Sylow | C59 ⋊ C2×#482 |
468 conjugacy classes of subgroups.
589 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#482×D59, D59×#3091, D59×#3093, … |
| maximal normal subgroup of | C2×#482×D59, D59×#3091, D59×#3093, … |
| maximal quotient of | D59×#1825, D59×#1854, D59×#1875, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 14390);