Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#16837524 |
| Sylow | C59 ⋊ C2×#444 |
464 conjugacy classes of subgroups.
856 conjugacy classes — view the full character table.
| maximal subgroup of | #28503983, #28503985, #28503990, … |
| maximal normal subgroup of | #28503983, #28503985, #28503990, … |
| maximal quotient of | C2×SD16⋊(C59⋊C8), C2×#21422915, C2×#21422920, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 13406);