Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
938 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 938 conjugacy classes of subgroups — too many to draw. Only its 179 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. #19132483 | C2 | semidirect |
| 4. #19132482 | C2 | semidirect |
| 5. C43×#1298 | C2 | semidirect |
| 174. #1298 | D43 | direct (N × H) |
| 181. D43 | #1298 | direct (N × H) |
| 197. C43 | C2×#1298 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #407×D43 | 2 |
| C2×C22⋊C8×D43 | 2 |
| #19132483 | 2 |
| #19132482 | 2 |
| C43×#1298 | 2 |
| C2×#1298 | 43 |