Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C61 ⋊ #1298 |
190 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=d,b^2=e,c^2=f,d^2=f,e^2=f,b^a=bc,c^a=cf,e^a=efg,c^b=cg,h^b=h^60878 conjugacy classes — view the full character table.
| maximal subgroup of | #29567505, #29567506, #29567613, … |
| maximal normal subgroup of | #29567505, #29567506, #29567613, … |
| maximal quotient of | #29566566, #29566574, #29566598, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 2397);