Finite Group DatabasebetaFinite Group Databasebeta| order | 8768 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#17984110 |
| Fitting | C22×C8×C137 ⋊ C2 |
| Sylow | C137 ⋊ C2×#135 |
266 conjugacy classes of subgroups.
2204 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31781115, #31781117, #31781675, … |
| maximal normal subgroup of | #31781115, #31781117, #31781675, … |
| maximal quotient of | C2×#22577400, C2×#22577441, C2×C4×D1096, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8768, 1331);