Finite Group DatabasebetaFinite Group Databasebeta| order | 10144 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C23×C317 ⋊ C4 |
| Sylow | C317 ⋊ #99 |
52 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,317|a^2=d,b^a=bc,c^a=ce,f^a=f^203,d^b=de,f^d=f^316643 conjugacy classes — view the full character table.
| maximal subgroup of | #35204123, #35204124, #35204125, … |
| maximal normal subgroup of | #35204123, #35204124, #35204125, … |
| maximal quotient of | #35204066, #35204069, #35204074, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10144, 204);