Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 115 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. #19152220 | C2 | semidirect |
| 2. #19152002 | C2 | semidirect |
| 3. #19151983 | C2 | semidirect |
| 4. #19151959 | C2 | semidirect |
| 5. #19151847 | C2 | semidirect |
| 6. #19151836 | C2 | semidirect |
| 8. #19151696 | C2 | semidirect |
| 9. C4×D712 | C2 | semidirect |
| 10. #19151552 | C2 | semidirect |
| 11. C4×Q16×C89 | C2 | semidirect |
| 118. C89 | #3175 | semidirect |
| 127. C4×Q16 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152220 | 2 |
| #19152002 | 2 |
| #19151983 | 2 |
| #19151959 | 2 |
| #19151847 | 2 |
| #19151836 | 2 |
| #19151835 | 2 |
| #19151696 | 2 |
| C4×D712 | 2 |
| #19151552 | 2 |
| C4×Q16×C89 | 2 |
| #3175 | 89 |