Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
288 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 288 conjugacy classes of subgroups — too many to draw. Only its 63 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×#14582739 | C2 | semidirect |
| 3. C2×#14582736 | C2 | semidirect |
| 4. #19132775 | C2 | semidirect |
| 5. #19132772 | C2 | semidirect |
| 6. C22⋊(C43⋊C32) | C2 | semidirect |
| 7. C43×#2216 | C2 | semidirect |
| 109. #2216 | D43 | semidirect |
| 133. C43 | #13666 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583331 | 2 |
| C2×#14582739 | 2 |
| C2×#14582736 | 2 |
| #19132775 | 2 |
| #19132772 | 2 |
| C22⋊(C43⋊C32) | 2 |
| C43×#2216 | 2 |
| #13666 | 43 |