Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| isoclinism | isoclinic class of D208 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic104 |
| Sylow | C13 ⋊ C4×Q32 |
150 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1664 |
428 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15750371, #15750373, #15750377, … |
| maximal normal subgroup of | #15750371, #15750373, #15750377, … |
| maximal quotient of | C8×Dic104, #15774837, #15774911, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 6370);