Finite Group DatabasebetaFinite Group Databasebeta| order | 10144 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C317 ⋊ #131 |
62 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,317|a^2=d,d^2=e,f^a=f^203,c^b=ce,f^b=f^316,f^c=f^316,f^d=f^316415 conjugacy classes — view the full character table.
| maximal subgroup of | #35204266, #35204267, #35204268, … |
| maximal normal subgroup of | #35204266, #35204267, #35204268, … |
| maximal quotient of | #35204188, #35204198, #35204230, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10144, 234);