Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C24×C4 |
| direct product | D13×#431 |
| Fitting | C13×#431 ⋊ C2 |
| Sylow | C13 ⋊ C2×#431 |
528 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
320 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D13×#1274, #15752316, #15752325, … |
| maximal normal subgroup of | D13×#1274, #15752316, #15752325, … |
| maximal quotient of | D13×#1744, C4×D13×C22⋊C8, C4×D13×C4⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 13122);