Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C42 |
| direct product | C2×#11718309 |
| Sylow | C13 ⋊ C2×#376 |
840 conjugacy classes of subgroups; only the 405 normal subgroups are shown.
This group has 840 conjugacy classes of subgroups — too many to draw. Only its 405 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 1664 |
320 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15752508, #15752520, #15752909, … |
| maximal normal subgroup of | #15752508, #15752520, #15752909, … |
| maximal quotient of | C2×#95×Dic13, C4×#11718309, C2×#13113060, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 6836);