Finite Group DatabasebetaFinite Group Databasebeta| order | 8768 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#14555520 |
| Sylow | C137 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
584 conjugacy classes — view the full character table.
| maximal subgroup of | #31795620, #31795621, #31795650, … |
| maximal normal subgroup of | #31795620, #31795621, #31795650, … |
| maximal quotient of | C8×#14555520, #31795999, #31796009, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8768, 1511);