Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
468 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 141 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×#18012697 | C2 | semidirect |
| 3. #23752539 | C2 | direct (N × H) |
| 4. C2×#18012670 | C2 | semidirect |
| 5. C2×#18012661 | C2 | semidirect |
| 6. C2×#18012659 | C2 | semidirect |
| 7. C2×(C2×D151)⋊C8 | C2 | semidirect |
| 8. C2×#107×C151 | C2 | semidirect |
| 16. #18012697 | C22 | semidirect |
| 21. #18012670 | C22 | semidirect |
| 22. #18012661 | C22 | semidirect |
| 23. #18012659 | C22 | semidirect |
| 24. (C2×D151)⋊C8 | C22 | semidirect |
| 28. #107×C151 | C22 | semidirect |
| 108. C2×C151 | #482 | semidirect |
| 114. C151 | C2×#482 | semidirect |
| 119. C2×#107 | D151 | semidirect |
| 139. #107 | C2×D151 | semidirect |
| 225. C2 | #23752539 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012714 | 2 |
| C2×#18012697 | 2 |
| #23752539 | 2 |
| C2×#18012670 | 2 |
| C2×#18012661 | 2 |
| C2×#18012659 | 2 |
| C2×(C2×D151)⋊C8 | 2 |
| C2×#107×C151 | 2 |
| C2×#482 | 151 |