Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#16837403 |
| Sylow | C59 ⋊ C2×#417 |
816 conjugacy classes of subgroups.
1204 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28494163, #28494165, #28494206, … |
| maximal normal subgroup of | #28494163, #28494165, #28494206, … |
| maximal quotient of | C2×#21422483, C2×#21422535, #28555150, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 13022);