Finite Group DatabasebetaFinite Group Databasebeta| order | 8128 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#16861231 |
| Fitting | C22×C8×C127 ⋊ C2 |
| Sylow | C127 ⋊ C2×#135 |
266 conjugacy classes of subgroups.
2044 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30639056, #30639058, #30639616, … |
| maximal normal subgroup of | #30639056, #30639058, #30639616, … |
| maximal quotient of | C2×#22549873, C2×#22549914, C2×C4×D1016, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8128, 1331);