Finite Group DatabasebetaFinite Group Databasebeta| order | 10784 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×Q8×D337 |
| Fitting | C2×Q8×C337 ⋊ C2 |
| Sylow | C337 ⋊ C22×Q8 |
156 conjugacy classes of subgroups.
1700 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #101×D337, #103×D337, #36341312, … |
| maximal normal subgroup of | #101×D337, #103×D337, #36341312, … |
| maximal quotient of | C2×C4⋊C4×D337, C4×Q8×D337, C2×#24924924, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10784, 185);