Finite Group DatabasebetaFinite Group Databasebeta| order | 11936 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C23 |
| unambiguous semidirect product | (C2×#13093637)⋊C4 |
| Fitting | C2×C4×C373 ⋊ C4 |
| Sylow | C373 ⋊ #95 |
76 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,373|a^2=d,b^2=e,b^a=bc,f^a=f^104,f^d=f^372764 conjugacy classes — view the full character table.
| maximal subgroup of | #37560273, #37560274, #37560275, … |
| maximal normal subgroup of | #37560273, #37560274, #37560275, … |
| maximal quotient of | (C2×#13093637)⋊C8, #37560288, #37560289, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11936, 197);