Finite Group DatabasebetaFinite Group Databasebeta| order | 8384 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×#14523503 |
| Sylow | C131 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
1328 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30664765, C8×#14523503, #30664777, … |
| maximal normal subgroup of | #30664765, C8×#14523503, #30664777, … |
| maximal quotient of | C8×#14523503, #30664809, #30664811, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8384, 642);