Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
384 conjugacy classes of subgroups; only the 213 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 213 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. #23749686 | C2 | semidirect |
| 2. #23749682 | C2 | semidirect |
| 3. #23749652 | C2 | semidirect |
| 5. C4×#14558720 | C2 | semidirect |
| 6. C2×#18011822 | C2 | semidirect |
| 77. C149 | #2923 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23749686 | 2 |
| #23749682 | 2 |
| #23749652 | 2 |
| #23749592 | 2 |
| C4×#14558720 | 2 |
| C2×#18011822 | 2 |
| C4×#41×C149 | 2 |
| #2923 | 149 |