Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
512 conjugacy classes of subgroups; only the 186 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 186 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. #14272037 | C2 | direct (N × H) |
| 8. C2×C4⋊#1181 | C4 | semidirect |
| 10. C22×C8×C29 | C4 | semidirect |
| 11. C22×#6597 | C4 | semidirect |
| 13. C2×C8×D29 | C4 | semidirect |
| 30. C4⋊#1181 | C2×C4 | semidirect |
| 32. C2×C8×C29 | C2×C4 | semidirect |
| 34. C2×#6597 | C2×C4 | semidirect |
| 86. C2×C29 | #340 | semidirect |
| 90. D29 | #340 | semidirect |
| 99. C22×C8 | #1181 | semidirect |
| 104. C29 | C2×#340 | semidirect |
| 123. C2×C8 | C2×#1181 | semidirect |
| 175. C2 | #14272037 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4⋊#1181 | 2 |
| #14272037 | 2 |
| C22×C8×D29 | 2 |
| C2×#340 | 29 |