Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#16837688 |
| Sylow | C59 ⋊ C2×#475 |
416 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 173 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1198 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28483484, #28483486, #28483491, … |
| maximal normal subgroup of | #28483484, #28483486, #28483491, … |
| maximal quotient of | C2×#21424102, C2×#21424367, C2×#21424675, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 14276);