Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
256 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 89 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. #23749663 | C2 | semidirect |
| 4. #23749396 | C2 | semidirect |
| 5. C2×#108×C149 | C2 | semidirect |
| 9. #18011917 | C4 | semidirect |
| 10. #18011917 | C4 | semidirect |
| 91. C149 | #1814 | semidirect |
| 94. C2×#108 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011917 | 2 |
| #23749663 | 2 |
| #23749641 | 2 |
| #23749396 | 2 |
| C2×#108×C149 | 2 |
| #1814 | 149 |