Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
372 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 65 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. #19136832 | C2 | semidirect |
| 3. #19136743 | C2 | semidirect |
| 4. #19134108 | C2 | semidirect |
| 5. #19132639 | C2 | semidirect |
| 6. #19132563 | C2 | semidirect |
| 7. C43×#1330 | C2 | semidirect |
| 10. #14583304 | C22 | semidirect |
| 22. #14582650 | C22 | semidirect |
| 25. C43×C4⋊C16 | C22 | semidirect |
| 26. C43×#346 | C22 | semidirect |
| 101. D344 | SD16 | semidirect |
| 167. #1330 | D43 | semidirect |
| 186. C4⋊C16 | C2×D43 | semidirect |
| 190. #346 | C2×D43 | semidirect |
| 193. C43 | #12378 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19146207 | 2 |
| #19136832 | 2 |
| #19136743 | 2 |
| #19134108 | 2 |
| #19132639 | 2 |
| #19132563 | 2 |
| C43×#1330 | 2 |
| #12378 | 43 |