Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
574 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 574 conjugacy classes of subgroups — too many to draw. Only its 103 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. #19145716 | C2 | semidirect |
| 3. #19133154 | C2 | semidirect |
| 4. #19132440 | C2 | semidirect |
| 5. C43×#1960 | C2 | semidirect |
| 125. #1960 | D43 | semidirect |
| 147. C43 | #10225 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145716 | 2 |
| #19145041 | 2 |
| #19133154 | 2 |
| #19132440 | 2 |
| C43×#1960 | 2 |
| #10225 | 43 |