Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
672 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 672 conjugacy classes of subgroups — too many to draw. Only its 113 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. C2×#14582839 | C2 | semidirect |
| 4. #19134686 | C2 | semidirect |
| 5. C2×#14582624 | C2 | semidirect |
| 6. #19132474 | C2 | semidirect |
| 270. C43 | #9921 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583215 | 2 |
| #19140339 | 2 |
| C2×#14582839 | 2 |
| #19134686 | 2 |
| C2×#14582624 | 2 |
| #19132474 | 2 |
| C2×C43×#327 | 2 |
| #9921 | 43 |