Finite Group DatabasebetaFinite Group Databasebeta| order | 10144 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C23 |
| unambiguous semidirect product | (C2×#11929639)⋊C4 |
| Fitting | C2×C4×C317 ⋊ C4 |
| Sylow | C317 ⋊ #95 |
76 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,317|a^2=d,b^2=e,b^a=bc,f^a=f^203,f^d=f^316652 conjugacy classes — view the full character table.
| maximal subgroup of | #35204074, #35204075, #35204076, … |
| maximal normal subgroup of | #35204074, #35204075, #35204076, … |
| maximal quotient of | (C2×#11929639)⋊C8, #35204089, #35204090, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10144, 197);