Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C24 |
| direct product | C2×D4⋊#1055 |
| Sylow | C13 ⋊ C2×D4⋊C8 |
344 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 141 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 832 |
296 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×D4⋊#1055, Dic13×D4⋊C8, #15753521, … |
| maximal normal subgroup of | C4×D4⋊#1055, Dic13×D4⋊C8, #15753521, … |
| maximal quotient of | C2×#13112657, C2×#13112659, #15750858, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 2883);