Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Fitting | C13×#405 ⋊ C2 |
| Sylow | C13 ⋊ C4×#131 |
572 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
Polycyclic presentation:
2^7,13|a^2=e,b^2=f,e^2=g,h^b=h^12,d^c=dg,h^d=h^12320 conjugacy classes — view the full character table.
| maximal subgroup of | #15777966, #15777971, #15778855, … |
| maximal normal subgroup of | #15777966, #15777971, #15778855, … |
| maximal quotient of | #15828506, C8×#88161, #15828530, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 12932);