Finite Group DatabasebetaFinite Group Databasebeta| order | 11936 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | Q8×C373 ⋊ C4 |
| Sylow | C373 ⋊ #103 |
42 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,373|a^2=d,b^2=e,c^2=e,b^a=bc,c^a=ce,f^a=f^104,c^b=ce,f^d=f^372479 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#26045855, #37560412, #37560413, … |
| maximal normal subgroup of | C2×#26045855, #37560412, #37560413, … |
| maximal quotient of | Q8⋊#15688419, #37560272, #37560275, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11936, 209);