Finite Group DatabasebetaFinite Group Databasebeta| order | 10144 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#19099559 |
| Fitting | C2×D4×C317 ⋊ C2 |
| Sylow | C317 ⋊ C2×D8 |
76 conjugacy classes of subgroups.
1594 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35203303, C4×#19099559, #35203332, … |
| maximal normal subgroup of | #35203303, C4×#19099559, #35203332, … |
| maximal quotient of | C2×#23778700, C2×#23778701, C2×#23778713, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10144, 156);