Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
302 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 302 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 1. #23752255 | C2 | semidirect |
| 4. #23752081 | C2 | semidirect |
| 5. #23751981 | C2 | semidirect |
| 6. #23751971 | C2 | semidirect |
| 15. #18012666 | C4 | semidirect |
| 31. #14558988 | C2×C4 | semidirect |
| 38. C4×Dic151 | C2×C4 | semidirect |
| 69. Q8×C151 | C4⋊C4 | semidirect |
| 73. D4×C151 | C4⋊C4 | semidirect |
| 112. C151 | #1859 | semidirect |
| 175. Q8 | Dic151⋊C4 | semidirect |
| 179. D4 | Dic151⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752255 | 2 |
| C2×#18012666 | 2 |
| #23752213 | 2 |
| #23752081 | 2 |
| #23751981 | 2 |
| #23751971 | 2 |
| #520×C151 | 2 |
| #1859 | 151 |