Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
572 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 99 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×#14583166 | C2 | semidirect |
| 2. #19144239 | C2 | semidirect |
| 3. C2×#14582712 | C2 | semidirect |
| 4. #19136311 | C2 | semidirect |
| 5. C2×#14582682 | C2 | semidirect |
| 6. #19132691 | C2 | semidirect |
| 7. C22×D16×C43 | C2 | semidirect |
| 51. #13063261 | D4 | semidirect |
| 69. C2×D8×C43 | D4 | semidirect |
| 74. C2×C16×C43 | D4 | semidirect |
| 193. C22×D16 | D43 | semidirect |
| 228. C43 | #13319 | semidirect |
| 247. C2×D8 | C22⋊D43 | semidirect |
| 268. C2×C16 | C22⋊D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583166 | 2 |
| #19144239 | 2 |
| C2×#14582712 | 2 |
| #19136311 | 2 |
| C2×#14582682 | 2 |
| #19132691 | 2 |
| C22×D16×C43 | 2 |
| #13319 | 43 |