Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#16838210 |
| Fitting | C2×2−1+4×C59 ⋊ C2 |
| Sylow | C59 ⋊ C2×#577 |
1460 conjugacy classes of subgroups.
1030 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28604596, #28604604, #28604623, … |
| maximal normal subgroup of | #28604596, #28604604, #28604623, … |
| maximal quotient of | C2×#21432619, C2×#21432629, C2×#21432689, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 19267);