Finite Group DatabasebetaFinite Group DatabasebetaOrder 6208.
120 conjugacy classes of subgroups; only the 42 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 42 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| subgroup | G/H | |
|---|---|---|
| center | C2 | D4×#87604 |
| commutator | C4×C97 | C22×C4 |
| Frattini | C4 | C22×#87604 |
| Fitting | SD16×C97 | C4 |
| socle | C2×C97 | C4×D4 |
| hypercenter | SD16 | #87604 |
| hypocenter | C97 | #440 |
| LCS | G ▷ C4×C97 ▷ C2×C97 ▷ C97 | |
| UCS | C1 ◁ C2 ◁ C4 ◁ SD16 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. Q8×#87604 | C2 | semidirect |
| 3. #15690879 | C2 | semidirect |
| 4. #15690873 | C2 | semidirect |
| 6. #15690864 | C2 | semidirect |
| 18. #13095500 | C4 | semidirect |
| 19. #13095499 | C4 | semidirect |
| 20. #13095498 | C4 | semidirect |
| 22. SD16×C97 | C4 | semidirect |
| 29. Q8×C97 | C2×C4 | semidirect |
| 36. Dic194 | C2×C4 | semidirect |
| 38. C8×C97 | C2×C4 | semidirect |
| 39. #11715895 | C2×C4 | semidirect |
| 58. C97 | #440 | semidirect |
| 73. SD16 | #87604 | semidirect |
| 85. Q8 | C2×#87604 | semidirect |
| 98. C8 | C2×#87604 | semidirect |