Finite Group DatabasebetaFinite Group Databasebeta| order | 11936 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C8×C373 ⋊ C4 |
| Sylow | C373 ⋊ #106 |
36 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,373|a^2=d,b^2=c,c^2=e,b^a=bc,c^a=ce,f^a=f^104,f^d=f^372758 conjugacy classes — view the full character table.
| maximal subgroup of | #37560338, #37560339, #37560346, … |
| maximal normal subgroup of | #37560338, #37560339, #37560346, … |
| maximal quotient of | #37560283, #37560284, #37560296, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11936, 214);