Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C4×Q16×C61 ⋊ C2 |
| Sylow | C61 ⋊ #2947 |
470 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=f,b^2=g,c^2=f,e^2=g,b^a=be,e^a=eg,e^b=eg,d^c=dg,h^c=h^60,h^d=h^60884 conjugacy classes — view the full character table.
| maximal subgroup of | D61×#2947, C2×#21454657, #30544127, … |
| maximal normal subgroup of | D61×#2947, C2×#21454657, #30544127, … |
| maximal quotient of | #29649457, #29649648, #29649677, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 13348);