Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
308 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 94 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. C4×Q8×C29 | C4 | semidirect |
| 12. Q8×Dic29 | C4 | semidirect |
| 16. #11745249 | C4 | semidirect |
| 20. C4×Dic58 | C4 | semidirect |
| 64. Q8×C29 | C4⋊C4 | semidirect |
| 90. Dic58 | C4⋊C4 | semidirect |
| 104. C4×C29 | #103 | semidirect |
| 110. Dic29 | #103 | semidirect |
| 132. C4×Q8 | #1181 | semidirect |
| 143. C29 | #1803 | semidirect |
| 185. Q8 | C4⋊#1181 | semidirect |
| 229. C4 | #11745225 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D29⋊(C4⋊C8) | 2 |
| C2×#11745225 | 2 |
| #14272109 | 2 |
| #14272036 | 2 |
| C4×Q8×D29 | 2 |
| #1803 | 29 |