Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C293 ⋊ #334 |
54 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18752 |
Polycyclic presentation:
2^6,293|a^2=d,b^2=c,c^2=e,d^2=f,b^a=bc,c^a=ce,g^b=g^2922948 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #334×D293, C2×#34035879, #49157531, … |
| maximal normal subgroup of | #334×D293, C2×#34035879, #49157531, … |
| maximal quotient of | #49156619, #49156848, #49156850, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 299);