Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C61×#452 ⋊ C2 |
| Sylow | C61 ⋊ #3012 |
764 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|d^2=g,e^2=g,b^a=be,c^a=cf,e^a=eg,h^a=h^60,e^b=eg,h^b=h^60,d^c=dg,h^d=h^60602 conjugacy classes — view the full character table.
| maximal subgroup of | D61×#3012, C2×#21455127, #30546476, … |
| maximal normal subgroup of | D61×#3012, C2×#21455127, #30546476, … |
| maximal quotient of | #29653221, #29653251, #29653309, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 13818);