Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C293 ⋊ #436 |
122 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
Polycyclic presentation:
2^6,293|a^2=e,c^2=e,e^2=f,b^a=bd,c^a=cf,g^a=g^155,c^b=cf,g^c=g^138,g^e=g^292758 conjugacy classes — view the full character table.
| maximal subgroup of | #49174386, #49174387, #49174394, … |
| maximal normal subgroup of | #49174386, #49174387, #49174394, … |
| maximal quotient of | #49174418, #49174421, #49174425, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 1584);