Finite Group DatabasebetaFinite Group Databasebeta| order | 8128 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#16861129 |
| Fitting | C2×C4⋊C4×C127 ⋊ C2 |
| Sylow | C127 ⋊ C2×#102 |
202 conjugacy classes of subgroups.
1288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30638544, C4×#16861129, #30638554, … |
| maximal normal subgroup of | #30638544, C4×#16861129, #30638554, … |
| maximal quotient of | C2×#22549603, #30637128, #30637154, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8128, 535);