Finite Group DatabasebetaFinite Group Databasebeta| order | 8768 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #101×D137 |
| Fitting | #101×C137 ⋊ C2 |
| Sylow | C137 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
770 conjugacy classes — view the full character table.
| maximal subgroup of | #355×D137, #356×D137, #31782475, … |
| maximal normal subgroup of | #355×D137, #356×D137, #31782475, … |
| maximal quotient of | #324×D137, #31779111, #31779117, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8768, 527);