Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
478 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 73 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×#21439985 | C2 | semidirect |
| 2. #29505336 | C2 | semidirect |
| 3. C2×#21439957 | C2 | semidirect |
| 4. #29504778 | C2 | semidirect |
| 5. C2×#21439876 | C2 | semidirect |
| 6. #29504532 | C2 | semidirect |
| 7. C2×#104×C239 | C2 | semidirect |
| 44. C2×D956 | D4 | semidirect |
| 49. #16838532 | D4 | semidirect |
| 51. C4⋊Dic239 | D4 | semidirect |
| 59. C2×Q8×C239 | D4 | semidirect |
| 61. C2×D4×C239 | D4 | semidirect |
| 69. C42×C239 | D4 | semidirect |
| 138. C239 | #2002 | semidirect |
| 143. C2×#104 | D239 | semidirect |
| 174. C2×Q8 | D956 | semidirect |
| 191. C2×D4 | D956 | semidirect |
| 208. C42 | C22⋊D239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#21439985 | 2 |
| #29505336 | 2 |
| C2×#21439957 | 2 |
| #29504778 | 2 |
| C2×#21439876 | 2 |
| #29504532 | 2 |
| C2×#104×C239 | 2 |
| #2002 | 239 |