Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
548 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 145 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. C2×#18012767 | C2 | semidirect |
| 2. #23752762 | C2 | semidirect |
| 3. C2×C4×D604 | C2 | semidirect |
| 4. #23752428 | C2 | semidirect |
| 5. #23752418 | C2 | semidirect |
| 6. #23752408 | C2 | semidirect |
| 7. #23752214 | C2 | semidirect |
| 8. #423×C151 | C2 | semidirect |
| 15. #18012739 | C22 | semidirect |
| 16. #18012736 | C22 | semidirect |
| 17. #18012727 | C22 | semidirect |
| 28. #18012664 | C22 | semidirect |
| 29. #18012661 | C22 | semidirect |
| 32. C4⋊C8×C151 | C22 | semidirect |
| 33. C4⋊C8×C151 | C22 | semidirect |
| 42. C2×D604 | D4 | semidirect |
| 118. C4×C151 | AGL(1,ℤ/8) | semidirect |
| 129. C151 | #3036 | semidirect |
| 137. #423 | D151 | semidirect |
| 160. C4⋊C8 | C2×D151 | semidirect |
| 161. C4⋊C8 | C2×D151 | semidirect |
| 250. C4 | #18012767 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012767 | 2 |
| #23752762 | 2 |
| C2×C4×D604 | 2 |
| #23752428 | 2 |
| #23752418 | 2 |
| #23752408 | 2 |
| #23752214 | 2 |
| #423×C151 | 2 |
| #3036 | 151 |