Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
438 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 113 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×#15667933 | C2 | semidirect |
| 3. C2×#15667932 | C2 | semidirect |
| 4. #19151500 | C2 | semidirect |
| 5. #19151360 | C2 | semidirect |
| 6. #19151353 | C2 | semidirect |
| 7. C2×C4×D4×C89 | C2 | semidirect |
| 11. C2×#13083559 | C4 | semidirect |
| 32. C2×D356 | C2×C4 | semidirect |
| 40. C2×#10623494 | C2×C4 | semidirect |
| 82. D4×C89 | C22⋊C4 | semidirect |
| 92. C2×C4×C89 | D8 | semidirect |
| 147. C89 | #1879 | semidirect |
| 149. C2×C4×D4 | D89 | semidirect |
| 233. D4 | #13083551 | semidirect |
| 246. C2×C4 | #13083559 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13083559 | 2 |
| C2×#15667933 | 2 |
| C2×#15667932 | 2 |
| #19151500 | 2 |
| #19151360 | 2 |
| #19151353 | 2 |
| C2×C4×D4×C89 | 2 |
| #1879 | 89 |