Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
266 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 65 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. #23752236 | C2 | semidirect |
| 3. C2×#18012667 | C2 | semidirect |
| 4. #23752196 | C2 | semidirect |
| 5. #23752194 | C2 | semidirect |
| 6. C151⋊#338 | C2 | semidirect |
| 7. C2×#104×C151 | C2 | semidirect |
| 122. C151 | #2050 | semidirect |
| 127. C2×#104 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23753010 | 2 |
| #23752236 | 2 |
| C2×#18012667 | 2 |
| #23752196 | 2 |
| #23752194 | 2 |
| C151⋊#338 | 2 |
| C2×#104×C151 | 2 |
| #2050 | 151 |