Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
380 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 69 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. #23753012 | C2 | semidirect |
| 2. C2×#18012765 | C2 | semidirect |
| 3. #23752779 | C2 | semidirect |
| 4. #23752230 | C2 | semidirect |
| 5. #23752185 | C2 | semidirect |
| 6. #23751983 | C2 | semidirect |
| 7. #418×C151 | C2 | semidirect |
| 40. C2×Dic302 | D4 | semidirect |
| 42. C2×D604 | D4 | semidirect |
| 55. #14558988 | D4 | semidirect |
| 71. C2×C8×C151 | D4 | semidirect |
| 142. C151 | #2008 | semidirect |
| 148. #418 | D151 | semidirect |
| 210. C2×C8 | C22⋊D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23753012 | 2 |
| C2×#18012765 | 2 |
| #23752779 | 2 |
| #23752230 | 2 |
| #23752185 | 2 |
| #23751983 | 2 |
| #418×C151 | 2 |
| #2008 | 151 |