Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
192 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 192 conjugacy classes of subgroups — too many to draw. Only its 73 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. C8×D596 | C2 | semidirect |
| 3. #23749375 | C2 | semidirect |
| 4. D4⋊#11924746 | C2 | semidirect |
| 5. #23749352 | C2 | semidirect |
| 6. #23749347 | C2 | semidirect |
| 7. C8×D4×C149 | C2 | semidirect |
| 25. #14558721 | C8 | semidirect |
| 44. D596 | C2×C8 | semidirect |
| 51. #11924746 | C2×C8 | semidirect |
| 54. D4×C149 | C2×C8 | semidirect |
| 83. C149 | #1580 | semidirect |
| 87. C8×D4 | D149 | semidirect |
| 131. D4 | C8×D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#14558721 | 2 |
| C8×D596 | 2 |
| #23749375 | 2 |
| D4⋊#11924746 | 2 |
| #23749352 | 2 |
| #23749347 | 2 |
| C8×D4×C149 | 2 |
| #1580 | 149 |