Finite Group DatabasebetaFinite Group Databasebeta| order | 8768 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | C2×#17984142 |
| Fitting | C2×C8×C137 ⋊ C4 |
| Sylow | C137 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
584 conjugacy classes — view the full character table.
| maximal subgroup of | #31795829, #31795835, #97×#10587739, … |
| maximal normal subgroup of | #31795829, #31795835, #97×#10587739, … |
| maximal quotient of | C2×#22578244, #31795983, C2×#22578245, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8768, 1506);