Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
872 conjugacy classes of subgroups; only the 237 normal subgroups are shown.
This group has 872 conjugacy classes of subgroups — too many to draw. Only its 237 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×C4×Dic302 | C2 | semidirect |
| 3. #23752114 | C2 | semidirect |
| 4. #23752112 | C2 | semidirect |
| 5. #23752072 | C2 | semidirect |
| 6. #23752071 | C2 | semidirect |
| 7. #23752059 | C2 | semidirect |
| 8. C4×C22⋊C4×C151 | C2 | semidirect |
| 10. C2×#14559004 | C4 | semidirect |
| 60. Dic302 | C22⋊C4 | semidirect |
| 85. C2×C4×C151 | #41 | semidirect |
| 114. C151 | #2341 | semidirect |
| 123. C4×C22⋊C4 | D151 | semidirect |
| 200. C2×C4 | #14559004 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14559004 | 2 |
| C2×C4×Dic302 | 2 |
| #23752114 | 2 |
| #23752112 | 2 |
| #23752072 | 2 |
| #23752071 | 2 |
| #23752059 | 2 |
| C4×C22⋊C4×C151 | 2 |
| #2341 | 151 |