Finite Group DatabasebetaFinite Group Databasebeta| order | 9904 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting | C8×C619 ⋊ C2 |
| Sylow | C619 ⋊ SD16 |
20 conjugacy classes of subgroups.
Polycyclic presentation:
2^4,619|a^2=d,c^2=d,b^a=bc,c^a=cd,e^a=e^618,c^b=cd,e^b=e^6182479 conjugacy classes. The character table is too large to display.
| maximal subgroup of | SD16×D619, C2×#23755252, #34090374, … |
| maximal normal subgroup of | SD16×D619, C2×#23755252, #34090374, … |
| maximal quotient of | #34090275, #34090278, #34090285, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9904, 29);