Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C61×#465 ⋊ C2 |
| Sylow | C61 ⋊ #3050 |
520 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|b^2=e,d^2=g,e^2=g,b^a=be,c^a=cf,e^a=eg,h^d=h^60704 conjugacy classes — view the full character table.
| maximal subgroup of | D61×#3050, C2×#21455395, #30547175, … |
| maximal normal subgroup of | D61×#3050, C2×#21455395, #30547175, … |
| maximal quotient of | #29662250, #29662278, #29662318, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 14086);