Finite Group DatabasebetaFinite Group Databasebeta| order | 10144 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C4×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^b=f^316,f^d=f^316643 conjugacy classes — view the full character table.
| maximal subgroup of | #35204127, #35204128, #35204129, … |
| maximal normal subgroup of | #35204127, #35204128, #35204129, … |
| maximal quotient of | #35204067, #35204068, #35204075, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10144, 205);