Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C61×#431 ⋊ C2 |
| Sylow | C61 ⋊ #1486 |
312 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 93 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^7,61|a^2=e,d^2=f,e^2=g,b^a=bd,c^a=cg,d^a=df,h^a=h^60,d^b=df,h^b=h^601238 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #29571713, #29571714, #29571718, … |
| maximal normal subgroup of | #29571713, #29571714, #29571718, … |
| maximal quotient of | #29568145, #29568162, #29568182, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 2936);