Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C8×D4×C61 ⋊ C2 |
| Sylow | C61 ⋊ #3282 |
504 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=g,b^2=g,e^2=g,b^a=be,c^a=cf,d^a=dg,e^a=eg,h^a=h^60,d^b=de,e^b=eg,h^b=h^60,e^d=eg,h^d=h^601235 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D61×#3282, C2×#21457531, #30555302, … |
| maximal normal subgroup of | D61×#3282, C2×#21457531, #30555302, … |
| maximal quotient of | #29669842, #29669857, #29669872, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 16222);