Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C22×M16×C61 ⋊ C2 |
| Sylow | C61 ⋊ #3055 |
548 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|b^2=e,e^2=g,b^a=be,c^a=cf,e^a=eg,h^a=h^60,d^b=dg1232 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #29717436, #29717441, #29717458, … |
| maximal normal subgroup of | #29717436, #29717441, #29717458, … |
| maximal quotient of | #29662781, #29662803, #29662825, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 14129);