Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
632 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 632 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 |
|---|---|---|
| 1. #19144603 | C2 | semidirect |
| 2. #19144394 | C2 | semidirect |
| 4. #19133160 | C2 | semidirect |
| 5. #19132985 | C2 | semidirect |
| 6. #19132455 | C2 | semidirect |
| 7. C43×#1486 | C2 | semidirect |
| 37. #13063325 | D4 | semidirect |
| 38. #13063325 | D4 | semidirect |
| 65. C4×C43⋊C8 | D4 | semidirect |
| 81. C4⋊C8×C43 | D4 | semidirect |
| 109. C2×D172 | SD16 | semidirect |
| 235. #1486 | D43 | semidirect |
| 270. C43 | #10000 | semidirect |
| 310. C4⋊C8 | C22⋊D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144603 | 2 |
| #19144394 | 2 |
| #19139496 | 2 |
| #19133160 | 2 |
| #19132985 | 2 |
| #19132455 | 2 |
| C43×#1486 | 2 |
| #10000 | 43 |