Finite Group DatabasebetaFinite Group Databasebeta| order | 1952 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
| unambiguous semidirect product | C4⋊#92420 |
| Sylow | C61 ⋊ C4⋊C8 |
38 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1952 |
Polycyclic presentation:
2^5,61|a^2=d,b^2=c,d^2=e,b^a=bc,f^a=f^11,f^d=f^60140 conjugacy classes — view the full character table.
| maximal subgroup of | D4⋊#92420, #16840610, Q8⋊#92420, … |
| maximal normal subgroup of | D4⋊#92420, #16840610, Q8⋊#92420, … |
| maximal quotient of | #16840623, #16840625, #16840628, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1952, 212);