Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
332 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 11. #18011876 | C4 | semidirect |
| 17. #18011836 | C4 | semidirect |
| 18. #18011834 | C4 | semidirect |
| 57. Dic298 | C42 | semidirect |
| 101. Dic149 | #103 | semidirect |
| 109. C149 | C4×#103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011876 | 2 |
| C2×#18011836 | 2 |
| C2×#18011834 | 2 |
| C2×C8×Dic149 | 2 |
| C4⋊C4×Dic149 | 2 |
| #23749387 | 2 |
| #340×C149 | 2 |
| C4×#103 | 149 |