Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C4⋊C8×C293 ⋊ C2 |
| Sylow | C293 ⋊ C8×D4 |
134 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,g^b=g^292,g^c=g^2922960 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49157577, #49157579, #49157582, … |
| maximal normal subgroup of | #49157577, #49157579, #49157582, … |
| maximal quotient of | #49157579, #49157584, #49157591, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 614);