Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C2×#103×C61 ⋊ C2 |
| Sylow | C61 ⋊ #3301 |
398 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=eg,b^2=g,c^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,d^b=de,h^b=h^60,f^c=fg875 conjugacy classes — view the full character table.
| maximal subgroup of | D61×#3301, C2×#21457717, #30556499, … |
| maximal normal subgroup of | D61×#3301, C2×#21457717, #30556499, … |
| maximal quotient of | #29695452, #29696260, #29697209, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 16408);