Finite Group DatabasebetaFinite Group Databasebeta| order | 8768 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#17984149 |
| Sylow | C137 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
566 conjugacy classes — view the full character table.
| maximal subgroup of | #31795886, #31795887, C4×#17984149, … |
| maximal normal subgroup of | #31795886, #31795887, C4×#17984149, … |
| maximal quotient of | C2×#22578248, C2×#22578249, #31796031, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8768, 1533);