Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
428 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 129 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×Q8×Dic151 | C2 | semidirect |
| 3. #23752531 | C2 | semidirect |
| 4. #23752528 | C2 | semidirect |
| 5. #23752495 | C2 | semidirect |
| 6. #23752410 | C2 | semidirect |
| 7. #23752351 | C2 | semidirect |
| 8. SD16×Dic151 | C2 | semidirect |
| 9. #23752297 | C2 | semidirect |
| 10. #23752262 | C2 | semidirect |
| 11. #448×C151 | C2 | semidirect |
| 93. C2×Dic151 | SD16 | semidirect |
| 104. Q8×C151 | #41 | semidirect |
| 140. C151 | #3103 | semidirect |
| 149. #448 | D151 | semidirect |
| 229. Q8 | #14559003 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752757 | 2 |
| C2×Q8×Dic151 | 2 |
| #23752531 | 2 |
| #23752528 | 2 |
| #23752495 | 2 |
| #23752410 | 2 |
| #23752351 | 2 |
| SD16×Dic151 | 2 |
| #23752297 | 2 |
| #23752262 | 2 |
| #448×C151 | 2 |
| #3103 | 151 |