Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
380 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 113 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. #14271023 | C2 | semidirect |
| 3. #14270930 | C2 | semidirect |
| 6. C23×C4×C29 | C4 | semidirect |
| 10. C2×C4⋊C4×C29 | C4 | semidirect |
| 11. C2×C22⋊C4×C29 | C4 | semidirect |
| 13. C2×C42×C29 | C4 | semidirect |
| 50. C23×C29 | C4⋊C4 | semidirect |
| 73. C2×C4×C29 | C4⋊C4 | semidirect |
| 100. C4×C29 | #99 | semidirect |
| 115. C23×C4 | Dic29 | semidirect |
| 120. C2×C4⋊C4 | Dic29 | semidirect |
| 122. C2×C22⋊C4 | Dic29 | semidirect |
| 124. C2×C42 | Dic29 | semidirect |
| 127. C29 | #1799 | semidirect |
| 160. C23 | C4⋊Dic29 | semidirect |
| 183. C2×C4 | C4⋊Dic29 | semidirect |
| 210. C4 | #11745182 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745182 | 2 |
| #14271023 | 2 |
| #14270930 | 2 |
| C2×C4×D4×C29 | 2 |
| #1799 | 29 |