Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#16837525 |
| Fitting | C2×#97×C59 ⋊ C2 |
| Sylow | C59 ⋊ C2×#444 |
464 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 189 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1204 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28503982, #28503984, #28503989, … |
| maximal normal subgroup of | #28503982, #28503984, #28503989, … |
| maximal quotient of | C2×#21422910, C2×#21422916, C2×#21422921, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 13407);