Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
428 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 95 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. #19136383 | C2 | semidirect |
| 3. C2×#14582713 | C2 | semidirect |
| 4. C2×#14582701 | C2 | semidirect |
| 5. #19134659 | C2 | semidirect |
| 6. #19132691 | C2 | semidirect |
| 7. C2×C43×#350 | C2 | semidirect |
| 63. M32×C43 | D4 | semidirect |
| 181. C2×#350 | D43 | semidirect |
| 210. C43 | #13387 | semidirect |
| 236. M32 | C22⋊D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144243 | 2 |
| #19136383 | 2 |
| C2×#14582713 | 2 |
| C2×#14582701 | 2 |
| #19134659 | 2 |
| #19132691 | 2 |
| C2×C43×#350 | 2 |
| #13387 | 43 |