Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
224 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 63 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 |
|---|---|---|
| 1. #19136851 | C2 | semidirect |
| 2. #19136676 | C2 | semidirect |
| 4. #19132671 | C2 | semidirect |
| 5. #19132633 | C2 | semidirect |
| 6. #19132631 | C2 | semidirect |
| 7. C43×#2170 | C2 | semidirect |
| 107. #2170 | D43 | semidirect |
| 130. C43 | #12438 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136851 | 2 |
| #19136676 | 2 |
| #19136671 | 2 |
| #19132671 | 2 |
| #19132633 | 2 |
| #19132631 | 2 |
| C43×#2170 | 2 |
| #12438 | 43 |