Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
300 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 4. #23752167 | C2 | semidirect |
| 5. #23751977 | C2 | semidirect |
| 6. #23751972 | C2 | semidirect |
| 7. C2×C4×C8×C151 | C2 | semidirect |
| 10. #18012745 | C4 | semidirect |
| 16. #18012667 | C4 | semidirect |
| 17. #18012664 | C4 | semidirect |
| 18. #18012661 | C4 | semidirect |
| 98. C151 | #1764 | semidirect |
| 104. C2×C4×C8 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012745 | 2 |
| C2×#18012667 | 2 |
| #23752209 | 2 |
| #23752167 | 2 |
| #23751977 | 2 |
| #23751972 | 2 |
| C2×C4×C8×C151 | 2 |
| #1764 | 151 |