Finite Group DatabasebetaFinite Group Databasebeta| order | 11936 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C42×C373 ⋊ C2 |
| Sylow | C373 ⋊ #104 |
44 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,373|a^2=d,c^2=e,d^2=e,b^a=bc,c^a=ce,f^a=f^372,c^b=ce,f^b=f^3722990 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #104×D373, C2×#26045720, #37559437, … |
| maximal normal subgroup of | #104×D373, C2×#26045720, #37559437, … |
| maximal quotient of | #37559151, #37559154, #37559155, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11936, 74);