Finite Group DatabasebetaFinite Group DatabasebetaOrder 11072.
120 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 41 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×#14583813 | C2 | semidirect |
| 2. C2×#14583810 | C2 | semidirect |
| 4. #19149612 | C2 | semidirect |
| 5. #19149603 | C2 | semidirect |
| 6. #19149599 | C2 | semidirect |
| 7. C22⋊Q8×C173 | C2 | semidirect |
| 27. #13063436 | D4 | semidirect |
| 55. C173 | #468 | semidirect |
| 59. C22⋊Q8 | D173 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583813 | 2 |
| C2×#14583810 | 2 |
| #19149653 | 2 |
| #19149612 | 2 |
| #19149603 | 2 |
| #19149599 | 2 |
| C22⋊Q8×C173 | 2 |
| #468 | 173 |