Finite Group DatabasebetaFinite Group Databasebeta| order | 10144 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C8×C317 ⋊ C2 |
| Sylow | C317 ⋊ #131 |
62 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,317|a^2=d,d^2=e,c^b=ce,f^c=f^3162548 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35203006, #35203008, #35203338, … |
| maximal normal subgroup of | #35203006, #35203008, #35203338, … |
| maximal quotient of | #35203177, #35203178, #35203188, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10144, 152);