Finite Group DatabasebetaFinite Group Databasebeta| order | 10144 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×Q8×D317 |
| Fitting | C2×Q8×C317 ⋊ C2 |
| Sylow | C317 ⋊ C22×Q8 |
156 conjugacy classes of subgroups.
1600 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #101×D317, #103×D317, #35203230, … |
| maximal normal subgroup of | #101×D317, #103×D317, #35203230, … |
| maximal quotient of | C2×C4⋊C4×D317, C4×Q8×D317, C2×#23778745, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10144, 185);