Finite Group DatabasebetaFinite Group Databasebeta| order | 8128 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#16861144 |
| Sylow | C127 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
1288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30638608, #30638610, #30638613, … |
| maximal normal subgroup of | #30638608, #30638610, #30638613, … |
| maximal quotient of | C2×#22549626, C2×#22549628, #30637476, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8128, 594);