Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
454 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 454 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. C22⋊C16×D43 | C2 | semidirect |
| 3. #19132535 | C2 | semidirect |
| 4. #19132518 | C2 | semidirect |
| 5. C43×#1322 | C2 | semidirect |
| 55. C2×D172 | C16 | semidirect |
| 93. C22×D43 | C2×C16 | semidirect |
| 101. C2×C4×C43 | C2×C16 | semidirect |
| 146. #1322 | D43 | semidirect |
| 168. C43 | #11465 | semidirect |
| 262. C2×C4 | C16×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582964 | 2 |
| C22⋊C16×D43 | 2 |
| #19132535 | 2 |
| #19132518 | 2 |
| C43×#1322 | 2 |
| #11465 | 43 |