Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C22 |
| direct product | Q8×#6090 |
| Sylow | C13 ⋊ Q8×C16 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1664 |
320 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15774682, SD16×#6090, #15774696, … |
| maximal normal subgroup of | #15774682, SD16×#6090, #15774696, … |
| maximal quotient of | C4⋊C4×#6090, #15780536, #15780920, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 6414);