Finite Group DatabasebetaFinite Group Databasebeta| order | 8128 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C24 |
| direct product | C2×C22⋊(C127⋊C8) |
| Sylow | C127 ⋊ C2×C22⋊C8 |
202 conjugacy classes of subgroups.
2056 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30636572, #30636573, #30636576, … |
| maximal normal subgroup of | #30636572, #30636573, #30636576, … |
| maximal quotient of | C2×#22549600, C2×#22549602, #30637044, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8128, 510);