Finite Group DatabasebetaFinite Group DatabasebetaOrder 8128.
158 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 45 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×Q8×D127 | C2 | semidirect |
| 2. C2×#14523236 | C2 | semidirect |
| 4. #16861134 | C2 | semidirect |
| 5. #16861133 | C2 | semidirect |
| 6. (C2×D127)⋊C8 | C2 | semidirect |
| 7. C2×SD16×C127 | C2 | semidirect |
| 26. Dic254 | D4 | semidirect |
| 37. Q8×C127 | D4 | semidirect |
| 49. C2×D127 | SD16 | semidirect |
| 61. C127 | #448 | semidirect |
| 65. C2×SD16 | D127 | semidirect |
| 91. Q8 | C22⋊D127 | semidirect |