Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C2×#102×D59 |
| Fitting | C2×#102×C59 ⋊ C2 |
| Sylow | C59 ⋊ C22×#102 |
1072 conjugacy classes of subgroups.
868 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#102×D59, D59×#1762, #28586497, … |
| maximal normal subgroup of | C4×#102×D59, D59×#1762, #28586497, … |
| maximal quotient of | C2×D4⋊C8×D59, D59×#1486, C2×#21422519, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 12994);