Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | C2×#11718119 |
| Sylow | C13 ⋊ C2×#342 |
680 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
284 conjugacy classes. The character table is too large to display.
| maximal subgroup of | Dic13×#342, C4×#11718119, #15768179, … |
| maximal normal subgroup of | Dic13×#342, C4×#11718119, #15768179, … |
| maximal quotient of | C2×#13112678, #15752512, #15752518, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 4239);