Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C27 |
| direct product | C2×#11718334 |
| Fitting | C2×C13×#95 ⋊ C2 |
| Sylow | C13 ⋊ C2×#393 |
1036 conjugacy classes of subgroups; only the 253 normal subgroups are shown.
This group has 1036 conjugacy classes of subgroups — too many to draw. Only its 253 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 832 |
284 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15757907, #15757922, #15763128, … |
| maximal normal subgroup of | #15757907, #15757922, #15763128, … |
| maximal quotient of | C2×#13113080, C2×#13113082, C2×#13113091, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 7711);