Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C22 |
| direct product | C2×#11718039 |
| Fitting | C2×C13×C32 ⋊ C2 |
| Sylow | C13 ⋊ C2×M64 |
112 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
464 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15750729, C4×#11718039, #15783095, … |
| maximal normal subgroup of | #15750729, C4×#11718039, #15783095, … |
| maximal quotient of | C2×#13112969, C4×#11718039, C2×#13112973, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 6801);