Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C61×#525 ⋊ C2 |
| Sylow | C61 ⋊ #3002 |
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,e^b=eg,h^b=h^60878 conjugacy classes — view the full character table.
| maximal subgroup of | #29575120, #29575122, #29652119, … |
| maximal normal subgroup of | #29575120, #29575122, #29652119, … |
| maximal quotient of | #29652117, #29652168, #29652219, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 13726);