Finite Group DatabasebetaFinite Group Databasebeta| order | 8128 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic1016 |
| Sylow | C127 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
2038 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30636910, #30636912, #30636922, … |
| maximal normal subgroup of | #30636910, #30636912, #30636922, … |
| maximal quotient of | C2×#22549681, C2×#22549702, C4×Dic1016, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8128, 977);