Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
172 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 172 conjugacy classes of subgroups — too many to draw. Only its 62 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 |
|---|---|---|
| 15. #18011821 | C4 | semidirect |
| 16. C4×#11924746 | C4 | semidirect |
| 17. C8×Dic149 | C4 | semidirect |
| 18. #97×C149 | C4 | semidirect |
| 72. C149 | #1833 | semidirect |
| 89. #97 | #10597010 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D149⋊#108 | 2 |
| #23750635 | 2 |
| #23750507 | 2 |
| #23750492 | 2 |
| #23749582 | 2 |
| #1833 | 149 |