Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| isoclinism | isoclinic class of #63228 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×#63229 |
| Sylow | C17 ⋊ C4×SD16 |
122 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 122 conjugacy classes of subgroups — too many to draw. Only its 55 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 544 |
188 conjugacy classes — view the full character table.
| maximal subgroup of | C8×#63229, #14527587, #14527593, … |
| maximal normal subgroup of | C8×#63229, #14527587, #14527593, … |
| maximal quotient of | C8×#63229, #14527620, #14527625, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 635);