Finite Group DatabasebetaFinite Group Databasebeta| order | 8128 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D1016 |
| Fitting | C4×C8×C127 ⋊ C2 |
| Sylow | C127 ⋊ C4×D8 |
134 conjugacy classes of subgroups.
2044 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30636690, #30636692, #30636696, … |
| maximal normal subgroup of | #30636690, #30636692, #30636696, … |
| maximal quotient of | C8×D1016, #30637561, #30637616, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8128, 633);