Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#11719061 |
| unambiguous semidirect product | D13⋊#383 |
| Fitting | C2×C42×C13 ⋊ C4 |
| Sylow | C13 ⋊ C2×#383 |
624 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
152 conjugacy classes — view the full character table.
| maximal subgroup of | #16779176, #16779179, C2×#13129696, … |
| maximal normal subgroup of | #16779176, #16779179, C2×#13129696, … |
| maximal quotient of | C2×#13130012, C4×#11719061, C2×#13130023, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 20956);