Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#88196 |
| Fitting | C2×C4×Q8×C13 ⋊ C2 |
| Sylow | C13 ⋊ C4×#137 |
484 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
284 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15757533, #15757539, #15757547, … |
| maximal normal subgroup of | #15757533, #15757539, #15757547, … |
| maximal quotient of | C8×#88196, #15832513, #15832533, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 13329);