Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
328 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 328 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 |
|---|---|---|
| 1. C2×#91227 | C2 | semidirect |
| 2. C2×#91164 | C2 | semidirect |
| 4. C3×C22⋊#674 | C2 | semidirect |
| 5. #11746563 | C2 | semidirect |
| 6. #11746547 | C2 | semidirect |
| 7. #11746543 | C2 | semidirect |
| 26. C22⋊#674 | D3 | semidirect |
| 46. C3⋊#674 | D4 | semidirect |
| 132. C2×D15 | M32 | semidirect |
| 242. C3×C5 | #2168 | semidirect |
| 283. C5 | #69103 | semidirect |
| 297. C3 | #10603905 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91227 | 2 |
| C2×#91164 | 2 |
| #11748485 | 2 |
| C3×C22⋊#674 | 2 |
| #11746563 | 2 |
| #11746547 | 2 |
| #11746543 | 2 |
| #10603905 | 3 |
| #69103 | 5 |