Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#16837451 |
| Sylow | C59 ⋊ C2×#430 |
460 conjugacy classes of subgroups.
1204 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28494778, #28494780, #28494785, … |
| maximal normal subgroup of | #28494778, #28494780, #28494785, … |
| maximal quotient of | C2×#21422848, #28557673, C2×#21422863, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 13117);