Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
376 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 143 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 |
|---|---|---|
| 3. #23752521 | C2 | semidirect |
| 4. #23752517 | C2 | semidirect |
| 5. #23752505 | C2 | semidirect |
| 6. #23752495 | C2 | semidirect |
| 72. C2×Q8×C151 | Q8 | semidirect |
| 129. C151 | #3078 | semidirect |
| 177. C2×Q8 | Dic302 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752765 | 2 |
| C2×Q8×Dic151 | 2 |
| #23752521 | 2 |
| #23752517 | 2 |
| #23752505 | 2 |
| #23752495 | 2 |
| #23752255 | 2 |
| #23752254 | 2 |
| #23752235 | 2 |
| #23752221 | 2 |
| #419×C151 | 2 |
| #3078 | 151 |