Finite Group DatabasebetaFinite Group DatabasebetaOrder 11072.
112 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 112 conjugacy classes of subgroups — too many to draw. Only its 39 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×#14583816 | C2 | semidirect |
| 4. #19149644 | C2 | semidirect |
| 5. #19149608 | C2 | semidirect |
| 7. #103×C173 | C2 | semidirect |
| 51. C173 | #464 | semidirect |
| 58. #103 | D173 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583816 | 2 |
| C2×#14583815 | 2 |
| #19149668 | 2 |
| #19149644 | 2 |
| #19149608 | 2 |
| #19149599 | 2 |
| #103×C173 | 2 |
| #464 | 173 |