Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C293 ⋊ C4⋊C16 |
50 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18752 |
Polycyclic presentation:
2^6,293|a^2=d,b^2=c,d^2=e,e^2=f,b^a=bc,g^a=g^138,g^b=g^292,g^d=g^2921208 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49173797, #49173798, #49173799, … |
| maximal normal subgroup of | #49173797, #49173798, #49173799, … |
| maximal quotient of | #49173808, #49173815, #49173824, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 1470);