Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
738 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 738 conjugacy classes of subgroups — too many to draw. Only its 135 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. #19134531 | C2 | semidirect |
| 4. #19132463 | C2 | semidirect |
| 10. #14582819 | C4 | semidirect |
| 11. #14582811 | C4 | semidirect |
| 110. C23×C43 | #103 | semidirect |
| 130. C2×C4×C43 | #103 | semidirect |
| 206. C43 | #9467 | semidirect |
| 294. C23 | #13063250 | semidirect |
| 328. C2×C4 | #13063250 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19137960 | 2 |
| #19134583 | 2 |
| #19134531 | 2 |
| #19132463 | 2 |
| C43×#2972 | 2 |
| #9467 | 43 |