Finite Group DatabasebetaFinite Group Databasebeta| order | 10784 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×D2696 |
| Fitting | C2×C8×C337 ⋊ C2 |
| Sylow | C337 ⋊ C2×D8 |
76 conjugacy classes of subgroups.
2702 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36341105, #36341107, #36341117, … |
| maximal normal subgroup of | #36341105, #36341107, #36341117, … |
| maximal quotient of | C2×#24924881, C2×#24924893, C4×D2696, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10784, 157);