Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
240 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 240 conjugacy classes of subgroups — too many to draw. Only its 58 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. #23750536 | C2 | direct (N × H) |
| 66. C2×C149 | #356 | semidirect |
| 68. C149 | C2×#356 | semidirect |
| 135. C2 | #23750536 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011972 | 2 |
| #23750536 | 2 |
| C2×#18011911 | 2 |
| C2×#356 | 149 |