Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C293 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
Polycyclic presentation:
2^6,293|a^2=d,b^2=e,d^2=f,b^a=bf,g^a=g^138,g^c=g^292,g^d=g^2921208 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49173610, #49173662, #49173678, … |
| maximal normal subgroup of | #49173610, #49173662, #49173678, … |
| maximal quotient of | #49173981, #49173993, #49173999, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 1508);