Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#10587539 |
| Fitting | C22×C4×C17 ⋊ C4 |
| Sylow | C17 ⋊ C2×#99 |
210 conjugacy classes of subgroups; only the 52 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 52 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 272 |
86 conjugacy classes — view the full character table.
| maximal subgroup of | #14543878, #14543879, #14544529, … |
| maximal normal subgroup of | #14543878, #14543879, #14544529, … |
| maximal quotient of | C2×#11763653, C2×#11763654, #14544021, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1527);