Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C22×M16×C61 ⋊ C2 |
| Sylow | C61 ⋊ #2896 |
772 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=f,d^2=g,e^2=g,b^a=be,c^a=cg,e^a=eg,h^a=h^60,e^b=eg,h^b=h^601244 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #29585474, #29585480, #29585506, … |
| maximal normal subgroup of | #29585474, #29585480, #29585506, … |
| maximal quotient of | #29646389, #29646449, #29646468, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 13030);