Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C293 ⋊ #504 |
84 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
Polycyclic presentation:
2^6,293|a^2=d,d^2=e,e^2=f,g^a=g^138,c^b=cf,g^b=g^292,g^d=g^292770 conjugacy classes — view the full character table.
| maximal subgroup of | #49175173, #49175174, #49175176, … |
| maximal normal subgroup of | #49175173, #49175174, #49175176, … |
| maximal quotient of | #49174995, #49174996, #49175016, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 1608);