Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
464 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 103 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. C2×#91082 | C2 | semidirect |
| 3. D15×#107 | C2 | semidirect |
| 4. C3×C5×#358 | C2 | semidirect |
| 5. #11746385 | C2 | semidirect |
| 6. #11746330 | C2 | semidirect |
| 7. #11746312 | C2 | semidirect |
| 13. #91808 | C4 | semidirect |
| 27. C5×#358 | D3 | semidirect |
| 40. C3×C5×Q16 | C2×C4 | semidirect |
| 48. D120 | C2×C4 | semidirect |
| 56. C3×#358 | D5 | semidirect |
| 117. C5×Q16 | C4×D3 | semidirect |
| 134. #358 | D15 | semidirect |
| 159. C3×Q16 | C4×D5 | semidirect |
| 251. Q16 | C4×D15 | semidirect |
| 264. C3×C5 | #2139 | semidirect |
| 307. C5 | #69221 | semidirect |
| 321. C3 | #10600014 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91808 | 2 |
| C2×#91082 | 2 |
| D15×#107 | 2 |
| C3×C5×#358 | 2 |
| #11746385 | 2 |
| #11746330 | 2 |
| #11746312 | 2 |
| #10600014 | 3 |
| #69221 | 5 |