Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C2×H(5,𝔽2)×C61 ⋊ 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,d^c=dg1052 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #29711463, #29711467, #29711487, … |
| maximal normal subgroup of | #29711463, #29711467, #29711487, … |
| maximal quotient of | #29653217, #29653250, #29653305, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 13814);