Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
462 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 93 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. C2×#14582713 | C2 | semidirect |
| 3. C2×#14582706 | C2 | semidirect |
| 4. C2×#14582699 | C2 | semidirect |
| 5. #19135378 | C2 | semidirect |
| 6. #19132685 | C2 | semidirect |
| 7. C43×#2139 | C2 | semidirect |
| 50. #13063261 | D4 | semidirect |
| 186. #2139 | D43 | semidirect |
| 216. C43 | #13411 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145082 | 2 |
| C2×#14582713 | 2 |
| C2×#14582706 | 2 |
| C2×#14582699 | 2 |
| #19135378 | 2 |
| #19132685 | 2 |
| C43×#2139 | 2 |
| #13411 | 43 |