Finite Group DatabasebetaFinite Group DatabasebetaOrder 3520.
260 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 68 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×D88⋊C5 | C2 | semidirect |
| 2. C2×#4313⋊C5 | C2 | semidirect |
| 3. #66948⋊C5 | C2 | semidirect |
| 4. #106×C11⋊C5 | C2 | semidirect |
| 5. #66873⋊C5 | C2 | semidirect |
| 15. #10622478 | C5 | semidirect |
| 26. C8×C11⋊C5 | D4 | semidirect |
| 28. C2×D88 | C2×C5 | semidirect |
| 29. C2×#4313 | C2×C5 | semidirect |
| 30. #66948 | C2×C5 | semidirect |
| 31. C11×#106 | C2×C5 | semidirect |
| 32. #66873 | C2×C5 | semidirect |
| 72. C8×C11 | C5×D4 | semidirect |
| 84. C11⋊C5 | #469 | semidirect |
| 110. #106 | AGL(1,𝔽11) | semidirect |
| 135. C11 | C5×#469 | semidirect |
| 151. C8 | C4⋊AGL(1,𝔽11) | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D88⋊C5 | 2 |
| C2×#4313⋊C5 | 2 |
| #66948⋊C5 | 2 |
| #106×C11⋊C5 | 2 |
| #66873⋊C5 | 2 |
| #10622478 | 5 |
| C5×#469 | 11 |