Finite Group DatabasebetaFinite Group Databasebeta| order | 8384 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#16862166 |
| Fitting | C2×C4⋊C4×C131 ⋊ C2 |
| Sylow | C131 ⋊ C2×#102 |
202 conjugacy classes of subgroups.
1328 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30665775, C4×#16862166, #30665785, … |
| maximal normal subgroup of | #30665775, C4×#16862166, #30665785, … |
| maximal quotient of | C2×#22553039, #30664359, #30664385, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8384, 535);