Finite Group DatabasebetaFinite Group Databasebeta| order | 8768 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#17984012 |
| Sylow | C137 ⋊ C2×#103 |
162 conjugacy classes of subgroups.
1388 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#17984012, #103×Dic137, #31780619, … |
| maximal normal subgroup of | C4×#17984012, #103×Dic137, #31780619, … |
| maximal quotient of | C2×Q8⋊#11764040, #31779192, #31779218, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8768, 540);