Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
264 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 2. C2×C4⋊#10623494 | C2 | semidirect |
| 3. #19151330 | C2 | semidirect |
| 4. #19151327 | C2 | semidirect |
| 5. #431×C89 | C2 | semidirect |
| 24. #13083574 | C8 | semidirect |
| 69. D356 | C2×C8 | semidirect |
| 75. Dic178 | C2×C8 | semidirect |
| 102. C89 | #1477 | semidirect |
| 104. #431 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#13083574 | 2 |
| C2×C4⋊#10623494 | 2 |
| #19151330 | 2 |
| #19151327 | 2 |
| #431×C89 | 2 |
| #1477 | 89 |