Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1342 conjugacy classes of subgroups; only the 283 normal subgroups are shown.
This group has 1342 conjugacy classes of subgroups — too many to draw. Only its 283 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. C2×#14583276 | C2 | semidirect |
| 2. C2×#14583275 | C2 | semidirect |
| 3. #19134209 | C2 | direct (N × H) |
| 4. C2×C8×C43⋊C8 | C2 | semidirect |
| 5. C2×C43×#493 | C2 | semidirect |
| 10. #14583276 | C22 | semidirect |
| 12. #14583275 | C22 | semidirect |
| 14. C8×C43⋊C8 | C22 | semidirect |
| 18. C43×#493 | C22 | semidirect |
| 60. C2×C8×C43 | D8 | semidirect |
| 66. C2×C43⋊C8 | D8 | semidirect |
| 90. C8×C43 | C2×D8 | semidirect |
| 91. C43⋊C8 | C2×D8 | semidirect |
| 108. C2×#493 | D43 | semidirect |
| 112. C2×C43 | #1712 | semidirect |
| 126. #493 | C2×D43 | semidirect |
| 130. C43 | C2×#1712 | semidirect |
| 175. C2×C8 | #10621882 | semidirect |
| 202. C8 | C2×#10621882 | semidirect |
| 218. C2 | #19134209 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583276 | 2 |
| C2×#14583275 | 2 |
| #19134209 | 2 |
| C2×C8×C43⋊C8 | 2 |
| C2×C43×#493 | 2 |
| C2×#1712 | 43 |