Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
350 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 97 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. C2×#14582677 | C2 | semidirect |
| 4. #19135348 | C2 | semidirect |
| 5. #19132702 | C2 | semidirect |
| 6. #19132693 | C2 | semidirect |
| 14. #14582700 | C4 | semidirect |
| 158. C43 | #13155 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582712 | 2 |
| #19136311 | 2 |
| C2×#14582677 | 2 |
| #19135348 | 2 |
| #19132702 | 2 |
| #19132693 | 2 |
| C43×#1972 | 2 |
| #13155 | 43 |