Finite Group DatabasebetaFinite Group Databasebeta| order | 8384 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C24 |
| direct product | C2×C22⋊(C131⋊C8) |
| Sylow | C131 ⋊ C2×C22⋊C8 |
202 conjugacy classes of subgroups.
2120 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30663803, #30663804, #30663807, … |
| maximal normal subgroup of | #30663803, #30663804, #30663807, … |
| maximal quotient of | C2×#22553036, C2×#22553038, #30664275, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8384, 510);