Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
412 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 2. C2×#14582721 | C2 | semidirect |
| 5. #19132693 | C2 | semidirect |
| 6. #19132677 | C2 | semidirect |
| 7. C43×#1941 | C2 | semidirect |
| 18. #14582708 | C4 | semidirect |
| 92. Dic172 | C4⋊C4 | semidirect |
| 94. D344 | C4⋊C4 | semidirect |
| 155. #1941 | D43 | semidirect |
| 180. C43 | #12950 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583017 | 2 |
| C2×#14582721 | 2 |
| C2×#14582708 | 2 |
| #19132693 | 2 |
| #19132677 | 2 |
| C43×#1941 | 2 |
| #12950 | 43 |