Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
520 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 137 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×#18012759 | C2 | semidirect |
| 2. C22×C8×D151 | C2 | semidirect |
| 3. #23752724 | C2 | semidirect |
| 4. #23752719 | C2 | semidirect |
| 5. #23752452 | C2 | semidirect |
| 6. #23752447 | C2 | semidirect |
| 7. #23752444 | C2 | semidirect |
| 8. #23752440 | C2 | semidirect |
| 9. #23752248 | C2 | semidirect |
| 10. #23752209 | C2 | semidirect |
| 11. #416×C151 | C2 | semidirect |
| 15. C2×#14558994 | C22 | semidirect |
| 16. C2×#14558992 | C22 | semidirect |
| 17. C2×#14558991 | C22 | semidirect |
| 18. C2×#14558989 | C22 | semidirect |
| 34. #18012672 | C22 | semidirect |
| 35. #18012670 | C22 | semidirect |
| 36. #18012664 | C22 | semidirect |
| 37. #18012661 | C22 | semidirect |
| 41. #103×C151 | C22 | semidirect |
| 42. #102×C151 | C22 | semidirect |
| 61. C2×C151⋊C8 | D4 | semidirect |
| 133. C2×D151 | #135 | semidirect |
| 148. C151 | #3050 | semidirect |
| 160. #416 | D151 | semidirect |
| 189. #103 | C2×D151 | semidirect |
| 191. #102 | C2×D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012759 | 2 |
| C22×C8×D151 | 2 |
| #23752724 | 2 |
| #23752719 | 2 |
| #23752452 | 2 |
| #23752447 | 2 |
| #23752444 | 2 |
| #23752440 | 2 |
| #23752248 | 2 |
| #23752209 | 2 |
| #416×C151 | 2 |
| #3050 | 151 |