Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C61 ⋊ #1324 |
118 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=d,b^2=e,c^2=g,d^2=f,b^a=bc,c^a=ce,e^a=eg,h^a=h^11,d^b=deg,h^b=h^60,d^c=dg,h^d=h^60326 conjugacy classes — view the full character table.
| maximal subgroup of | #30594980, #30594981, #30595036, … |
| maximal normal subgroup of | #30594980, #30594981, #30595036, … |
| maximal quotient of | #30594030, #30594036, #30594147, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 19451);