Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
676 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 676 conjugacy classes of subgroups — too many to draw. Only its 181 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×#15668001 | C2 | semidirect |
| 3. #19151515 | C2 | semidirect |
| 4. #19151500 | C2 | semidirect |
| 5. #19151499 | C2 | semidirect |
| 6. C4×C4⋊Dic89 | C2 | semidirect |
| 7. C2×C4×Q8×C89 | C2 | semidirect |
| 39. C2×Q8×C89 | D4 | semidirect |
| 88. C4×C89 | #124 | semidirect |
| 97. C89 | #2548 | semidirect |
| 100. C2×C4×Q8 | D89 | semidirect |
| 124. C2×Q8 | D356 | semidirect |
| 186. C4 | #15668001 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668009 | 2 |
| C2×#15668001 | 2 |
| #19151515 | 2 |
| #19151500 | 2 |
| #19151499 | 2 |
| C4×C4⋊Dic89 | 2 |
| C2×C4×Q8×C89 | 2 |
| #2548 | 89 |