Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
422 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 4. #19135336 | C2 | semidirect |
| 5. #19132700 | C2 | semidirect |
| 6. #19132678 | C2 | semidirect |
| 7. C43×#2159 | C2 | semidirect |
| 19. #14582710 | C4 | semidirect |
| 52. #13063257 | C2×C4 | semidirect |
| 64. M32×C43 | C2×C4 | semidirect |
| 113. Dic172 | C4⋊C4 | semidirect |
| 115. D344 | C4⋊C4 | semidirect |
| 177. #2159 | D43 | semidirect |
| 209. C43 | #12943 | semidirect |
| 236. M32 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143395 | 2 |
| C2×#14582710 | 2 |
| #19136305 | 2 |
| #19135336 | 2 |
| #19132700 | 2 |
| #19132678 | 2 |
| C43×#2159 | 2 |
| #12943 | 43 |