Finite Group DatabasebetaFinite Group Databasebeta| order | 8128 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#16861140 |
| Sylow | C127 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
1288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30638618, C4×#16861140, #30638626, … |
| maximal normal subgroup of | #30638618, C4×#16861140, #30638626, … |
| maximal quotient of | C2×#22549626, #30637485, #30637500, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8128, 579);