Finite Group DatabasebetaFinite Group Databasebeta| order | 11936 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C373 ⋊ C22⋊C8 |
50 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,373|a^2=d,d^2=e,b^a=bc,f^a=f^104,f^b=f^372,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 | #37560266, #37560268, #37560270, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11936, 203);