Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
368 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 368 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 |
|---|---|---|
| 1. C2×#11745215 | C2 | semidirect |
| 2. #14272067 | C2 | direct (N × H) |
| 4. C22×D4×C29 | C4 | semidirect |
| 9. #11745302 | C4 | semidirect |
| 11. C2×C4×Dic29 | C4 | semidirect |
| 13. #11745215 | C22 | semidirect |
| 20. C2×D4×C29 | C2×C4 | semidirect |
| 34. C4×Dic29 | C2×C4 | semidirect |
| 85. C2×C29 | #353 | semidirect |
| 91. C22×D4 | #1181 | semidirect |
| 99. C29 | C2×#353 | semidirect |
| 113. C2×D4 | C2×#1181 | semidirect |
| 169. C2 | #14272067 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745215 | 2 |
| #14272067 | 2 |
| C2×#11745302 | 2 |
| C2×#353 | 29 |