Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| isoclinism | isoclinic class of #6104 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×C4×#6105 |
| Sylow | C13 ⋊ C2×C4×SD16 |
552 conjugacy classes of subgroups; only the 221 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 221 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 | #15757478, #15757480, #15757498, … |
| maximal normal subgroup of | #15757478, #15757480, #15757498, … |
| maximal quotient of | C2×C8×#6105, C2×#13113677, C2×#13113672, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 13265);