Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
560 conjugacy classes of subgroups; only the 185 normal subgroups are shown.
This group has 560 conjugacy classes of subgroups — too many to draw. Only its 185 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. #23752119 | C2 | semidirect |
| 3. #23752104 | C2 | semidirect |
| 4. #23752102 | C2 | semidirect |
| 6. C4×(C2×D151)⋊C4 | C2 | semidirect |
| 7. #23752059 | C2 | semidirect |
| 8. #23752057 | C2 | semidirect |
| 9. #391×C151 | C2 | semidirect |
| 12. #18012728 | C4 | semidirect |
| 46. (C2×D151)⋊C4 | C2×C4 | semidirect |
| 47. (C2×D151)⋊C4 | C2×C4 | semidirect |
| 51. C4×Dic151 | C2×C4 | semidirect |
| 54. C2×Q8×C151 | C2×C4 | semidirect |
| 123. C151 | #2372 | semidirect |
| 127. #391 | D151 | semidirect |
| 159. C2×Q8 | C4×D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012728 | 2 |
| #23752119 | 2 |
| #23752104 | 2 |
| #23752102 | 2 |
| #23752090 | 2 |
| C4×(C2×D151)⋊C4 | 2 |
| #23752059 | 2 |
| #23752057 | 2 |
| #391×C151 | 2 |
| #2372 | 151 |