Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
428 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 125 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×#18012704 | C2 | semidirect |
| 3. #23752530 | C2 | semidirect |
| 4. #23752496 | C2 | semidirect |
| 5. #23752411 | C2 | semidirect |
| 6. #23752353 | C2 | semidirect |
| 7. #23752350 | C2 | semidirect |
| 8. #23752303 | C2 | semidirect |
| 9. #23752299 | C2 | semidirect |
| 10. #23752262 | C2 | semidirect |
| 11. #481×C151 | C2 | semidirect |
| 86. Dic302 | #41 | semidirect |
| 96. C2×Dic151 | SD16 | semidirect |
| 140. C151 | #3103 | semidirect |
| 145. #481 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752757 | 2 |
| C2×#18012704 | 2 |
| #23752530 | 2 |
| #23752496 | 2 |
| #23752411 | 2 |
| #23752353 | 2 |
| #23752350 | 2 |
| #23752303 | 2 |
| #23752299 | 2 |
| #23752262 | 2 |
| #481×C151 | 2 |
| #3103 | 151 |