Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C28 |
| direct product | C2×D13×#95 |
| Fitting | C2×C13×#95 ⋊ C2 |
| Sylow | C13 ⋊ C22×#95 |
1880 conjugacy classes of subgroups; only the 661 normal subgroups are shown.
This group has 1880 conjugacy classes of subgroups — too many to draw. Only its 661 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 832 |
320 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D13×#1280, #15752517, D13×#1294, … |
| maximal normal subgroup of | D13×#1280, #15752517, D13×#1294, … |
| maximal quotient of | C4×D13×#95, C2×#95×Dic13, D13×C22⋊#95, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 6833);