Finite Group DatabasebetaFinite Group Databasebeta| order | 8128 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#14523235 |
| Fitting | C22×Q8×C127 ⋊ C2 |
| Sylow | C127 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
1288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30639061, #30639067, #30639083, … |
| maximal normal subgroup of | #30639061, #30639067, #30639083, … |
| maximal quotient of | C22×#16861129, C22×#16861133, C22×#16861140, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8128, 1321);