Finite Group DatabasebetaFinite Group Databasebeta| order | 8384 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#16862182 |
| Sylow | C131 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
2108 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30664054, #30664055, #30664056, … |
| maximal normal subgroup of | #30664054, #30664055, #30664056, … |
| maximal quotient of | C2×#22553063, C2×#22553065, #30664709, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8384, 595);