Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
164 conjugacy classes of subgroups; only the 27 normal subgroups are shown.
This group has 164 conjugacy classes of subgroups — too many to draw. Only its 27 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. #19132762 | C2 | semidirect |
| 2. #19132760 | C2 | semidirect |
| 7. C43×#493 | C4 | semidirect |
| 10. C43×#322 | C4 | semidirect |
| 71. #493 | Dic43 | semidirect |
| 76. #322 | Dic43 | semidirect |
| 77. C43 | #7527 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19132762 | 2 |
| #19132760 | 2 |
| C43×#1721 | 2 |
| #7527 | 43 |