Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C61×#346 ⋊ C2 |
| Sylow | C61 ⋊ #1333 |
108 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=d,c^2=e,d^2=f,e^2=g,b^a=bc,c^a=ce,e^a=eg,h^a=h^60,c^b=ceg,d^b=dg,e^b=eg,h^b=h^601232 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D61×#1333, C2×#21443787, #29589778, … |
| maximal normal subgroup of | D61×#1333, C2×#21443787, #29589778, … |
| maximal quotient of | #29566669, #29566681, #29566781, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 2478);