Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C16×C293 ⋊ C2 |
| 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,c^b=cf,g^c=g^2924712 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49156926, #49156928, #49160620, … |
| maximal normal subgroup of | #49156926, #49156928, #49160620, … |
| maximal quotient of | #49160380, #49160381, #49160397, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 965);