Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
602 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 602 conjugacy classes of subgroups — too many to draw. Only its 81 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. #19144535 | C2 | semidirect |
| 3. #19134672 | C2 | semidirect |
| 4. #19133125 | C2 | semidirect |
| 5. #19133124 | C2 | semidirect |
| 6. #19132504 | C2 | semidirect |
| 7. C43×#3094 | C2 | semidirect |
| 52. C22⋊(C43⋊C8) | D4 | semidirect |
| 71. C2×C4⋊C4×C43 | D4 | semidirect |
| 72. C2×C4⋊C4×C43 | D4 | semidirect |
| 81. C22⋊C8×C43 | D4 | semidirect |
| 221. #3094 | D43 | semidirect |
| 260. C43 | #9983 | semidirect |
| 283. C2×C4⋊C4 | C22⋊D43 | semidirect |
| 284. C2×C4⋊C4 | C22⋊D43 | semidirect |
| 304. C22⋊C8 | C22⋊D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144535 | 2 |
| #19142617 | 2 |
| #19134672 | 2 |
| #19133125 | 2 |
| #19133124 | 2 |
| #19132504 | 2 |
| C43×#3094 | 2 |
| #9983 | 43 |