Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
186 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 63 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. #19132796 | C2 | semidirect |
| 3. #19132772 | C2 | semidirect |
| 4. C22⋊(C43⋊C32) | C2 | semidirect |
| 5. C2×C43×#366 | C2 | semidirect |
| 73. C2×#366 | D43 | semidirect |
| 91. C43 | #13712 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136681 | 2 |
| #19132796 | 2 |
| #19132772 | 2 |
| C22⋊(C43⋊C32) | 2 |
| C2×C43×#366 | 2 |
| #13712 | 43 |