Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
306 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 79 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. #19136396 | C2 | semidirect |
| 3. #19133340 | C2 | semidirect |
| 4. #19132565 | C2 | semidirect |
| 5. #19132563 | C2 | semidirect |
| 6. #19132561 | C2 | semidirect |
| 7. C43×#1334 | C2 | semidirect |
| 149. #1334 | D43 | semidirect |
| 176. C43 | #11656 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145168 | 2 |
| #19136396 | 2 |
| #19133340 | 2 |
| #19132565 | 2 |
| #19132563 | 2 |
| #19132561 | 2 |
| C43×#1334 | 2 |
| #11656 | 43 |