Finite Group DatabasebetaFinite Group Databasebeta| order | 8384 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#16862181 |
| Sylow | C131 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
1328 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30665839, #30665841, #30665844, … |
| maximal normal subgroup of | #30665839, #30665841, #30665844, … |
| maximal quotient of | C2×#22553062, C2×#22553064, #30664707, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8384, 594);