Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
342 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 79 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. #19152364 | C2 | semidirect |
| 3. #19151580 | C2 | semidirect |
| 4. #19151562 | C2 | semidirect |
| 5. #19151370 | C2 | semidirect |
| 6. #19151369 | C2 | semidirect |
| 7. #407×C89 | C2 | semidirect |
| 42. C2×#10623494 | D4 | semidirect |
| 64. C2×C8×C89 | D4 | semidirect |
| 126. C89 | #1891 | semidirect |
| 131. #407 | D89 | semidirect |
| 184. C2×C8 | C22⋊D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152364 | 2 |
| #19152109 | 2 |
| #19151580 | 2 |
| #19151562 | 2 |
| #19151370 | 2 |
| #19151369 | 2 |
| #407×C89 | 2 |
| #1891 | 89 |