Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
818 conjugacy classes of subgroups; only the 159 normal subgroups are shown.
This group has 818 conjugacy classes of subgroups — too many to draw. Only its 159 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 |
|---|---|---|
| 3. #19132722 | C2 | semidirect |
| 4. #19132721 | C2 | semidirect |
| 5. C43×#1394 | C2 | semidirect |
| 13. #101×D43 | C4 | semidirect |
| 46. #13063244 | C2×C4 | semidirect |
| 56. #101×C43 | C2×C4 | semidirect |
| 195. #1394 | D43 | direct (N × H) |
| 202. D43 | #1394 | direct (N × H) |
| 218. C43 | C2×#1394 | semidirect |
| 251. #101 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#101×D43 | 2 |
| #391×D43 | 2 |
| #19132722 | 2 |
| #19132721 | 2 |
| C43×#1394 | 2 |
| C2×#1394 | 43 |