Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
356 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 153 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. #23752616 | C2 | semidirect |
| 3. #23752613 | C2 | semidirect |
| 4. #23752612 | C2 | semidirect |
| 5. #23752609 | C2 | semidirect |
| 31. C2×C151⋊C8 | Q8 | semidirect |
| 44. C2×C8×C151 | Q8 | semidirect |
| 78. C151 | #3160 | semidirect |
| 114. C2×C8 | Dic302 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752765 | 2 |
| #23752616 | 2 |
| #23752613 | 2 |
| #23752612 | 2 |
| #23752609 | 2 |
| #23752250 | 2 |
| #23752248 | 2 |
| C2×C8×Dic151 | 2 |
| #427×C151 | 2 |
| #3160 | 151 |