Finite Group DatabasebetaFinite Group Databasebeta| order | 10144 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×C4⋊Dic317 |
| Sylow | C317 ⋊ C2×C4⋊C4 |
92 conjugacy classes of subgroups.
2548 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35202985, #35202986, #35202991, … |
| maximal normal subgroup of | #35202985, #35202986, #35202991, … |
| maximal quotient of | C2×#23778687, C4×C4⋊Dic317, #35203083, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10144, 101);