Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
520 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 173 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. #23752116 | C2 | semidirect |
| 3. #23752104 | C2 | semidirect |
| 4. #23752102 | C2 | semidirect |
| 6. #23752086 | C2 | semidirect |
| 7. #23752083 | C2 | semidirect |
| 8. #23752078 | C2 | semidirect |
| 9. #382×C151 | C2 | semidirect |
| 13. #18012727 | C4 | semidirect |
| 35. C2×Dic302 | C2×C4 | semidirect |
| 51. (C2×D151)⋊C4 | C2×C4 | semidirect |
| 52. (C2×D151)⋊C4 | C2×C4 | semidirect |
| 61. C42×C151 | C2×C4 | semidirect |
| 127. C151 | #2379 | semidirect |
| 137. #382 | D151 | semidirect |
| 189. C42 | C4×D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012727 | 2 |
| #23752116 | 2 |
| #23752104 | 2 |
| #23752102 | 2 |
| #23752090 | 2 |
| #23752086 | 2 |
| #23752083 | 2 |
| #23752078 | 2 |
| #382×C151 | 2 |
| #2379 | 151 |