Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C2×C13×C22⋊Q8 ⋊ C2 |
| Sylow | C13 ⋊ #2728 |
512 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
Polycyclic presentation:
2^7,13|a^2=ef,d^2=ef,b^a=be,c^a=cf,d^a=def,c^b=cg,d^b=de,h^c=h^12200 conjugacy classes — view the full character table.
| maximal subgroup of | #16070752, #16070754, #16070767, … |
| maximal normal subgroup of | #16070752, #16070754, #16070767, … |
| maximal quotient of | #15790687, #15790689, #15791038, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 11477);