Finite Group DatabasebetaFinite Group Databasebeta| order | 8768 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C22×#14555495 |
| Fitting | C22×D4×C137 ⋊ C2 |
| Sylow | C137 ⋊ C22×D8 |
338 conjugacy classes of subgroups.
1388 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31781134, #31781135, #31781137, … |
| maximal normal subgroup of | #31781134, #31781135, #31781137, … |
| maximal quotient of | C22×#17984008, C22×#17984009, C22×#17984021, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8768, 1318);