Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
228 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 98 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 |
|---|---|---|
| 11. #11745211 | C4 | direct (N × H) |
| 54. C4×C29 | #108 | semidirect |
| 58. Dic29 | #108 | semidirect |
| 79. C29 | C4×#108 | semidirect |
| 120. C4 | #11745211 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745211 | 2 |
| C4×#90796 | 2 |
| #14272039 | 2 |
| C4×C8×D29 | 2 |
| C4×#108 | 29 |