Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
408 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 408 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×#14582707 | C2 | semidirect |
| 3. #19136305 | C2 | semidirect |
| 4. C2×#14582682 | C2 | semidirect |
| 5. #19134660 | C2 | semidirect |
| 6. #19132703 | C2 | semidirect |
| 7. C2×C43×#366 | C2 | semidirect |
| 63. C2×C16×C43 | D4 | semidirect |
| 178. C2×#366 | D43 | semidirect |
| 210. C43 | #13384 | semidirect |
| 241. C2×C16 | D172 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144267 | 2 |
| C2×#14582707 | 2 |
| #19136305 | 2 |
| C2×#14582682 | 2 |
| #19134660 | 2 |
| #19132703 | 2 |
| C2×C43×#366 | 2 |
| #13384 | 43 |