Finite Group DatabasebetaFinite Group Databasebeta| order | 10144 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#19099563 |
| Fitting | C2×C8×C317 ⋊ C2 |
| Sylow | C317 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
2542 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35203310, C4×#19099563, #35203322, … |
| maximal normal subgroup of | #35203310, C4×#19099563, #35203322, … |
| maximal quotient of | C2×#23778702, C2×#23778705, C2×#23778712, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10144, 161);