Finite Group DatabasebetaFinite Group Databasebeta| order | 8768 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | C2×#17984143 |
| Sylow | C137 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
584 conjugacy classes — view the full character table.
| maximal subgroup of | #31795628, #31795665, #31795684, … |
| maximal normal subgroup of | #31795628, #31795665, #31795684, … |
| maximal quotient of | C2×#22578245, #31795996, #31796002, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8768, 1507);