Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
324 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 94 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. C2×C4⋊#11924753 | C2 | semidirect |
| 4. #23750491 | C2 | semidirect |
| 61. C2×C4×C149 | M16 | semidirect |
| 84. C149 | #1851 | semidirect |
| 143. C2×C4 | #14558746 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14558746 | 2 |
| C2×C4⋊#11924753 | 2 |
| C2×#18011968 | 2 |
| #23750491 | 2 |
| #23749472 | 2 |
| #1851 | 149 |