Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
358 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 83 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×#18012696 | C2 | semidirect |
| 3. C2×#18012666 | C2 | semidirect |
| 4. #23752175 | C2 | semidirect |
| 5. #23751973 | C2 | semidirect |
| 6. #23751972 | C2 | semidirect |
| 7. C2×#104×C151 | C2 | semidirect |
| 11. #18012715 | C4 | semidirect |
| 12. #18012710 | C4 | semidirect |
| 49. C4×Dic151 | D4 | semidirect |
| 64. C42×C151 | D4 | semidirect |
| 127. C151 | #1897 | semidirect |
| 132. C2×#104 | D151 | semidirect |
| 192. C42 | C22⋊D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752719 | 2 |
| C2×#18012696 | 2 |
| C2×#18012666 | 2 |
| #23752175 | 2 |
| #23751973 | 2 |
| #23751972 | 2 |
| C2×#104×C151 | 2 |
| #1897 | 151 |