Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
696 conjugacy classes of subgroups; only the 177 normal subgroups are shown.
This group has 696 conjugacy classes of subgroups — too many to draw. Only its 177 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. C2×#18012728 | C2 | semidirect |
| 3. C22×C4×Dic151 | C2 | semidirect |
| 4. #23752119 | C2 | semidirect |
| 5. #23752113 | C2 | semidirect |
| 6. #23752102 | C2 | semidirect |
| 7. #23752089 | C2 | semidirect |
| 8. #23752077 | C2 | semidirect |
| 9. C2×C22⋊Q8×C151 | C2 | semidirect |
| 49. C4×Dic151 | D4 | semidirect |
| 103. C22×C151 | #124 | semidirect |
| 128. C151 | #2850 | semidirect |
| 131. C2×C22⋊Q8 | D151 | semidirect |
| 237. C22 | #18012728 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012728 | 2 |
| C2×#18012713 | 2 |
| C22×C4×Dic151 | 2 |
| #23752119 | 2 |
| #23752113 | 2 |
| #23752102 | 2 |
| #23752089 | 2 |
| #23752077 | 2 |
| C2×C22⋊Q8×C151 | 2 |
| #2850 | 151 |