Finite Group DatabasebetaFinite Group Databasebeta| order | 8128 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #101×D127 |
| Fitting | #101×C127 ⋊ C2 |
| Sylow | C127 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
715 conjugacy classes — view the full character table.
| maximal subgroup of | #355×D127, #356×D127, #30640416, … |
| maximal normal subgroup of | #355×D127, #356×D127, #30640416, … |
| maximal quotient of | #324×D127, #30637052, #30637058, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8128, 527);