Finite Group DatabasebetaFinite Group Databasebeta| order | 11936 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
| unambiguous semidirect product | C4⋊#15688419 |
| Sylow | C373 ⋊ C4⋊C8 |
38 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,373|a^2=d,b^2=c,d^2=e,b^a=bc,f^a=f^104,f^d=f^372764 conjugacy classes — view the full character table.
| maximal subgroup of | D4⋊#15688419, #37560270, Q8⋊#15688419, … |
| maximal normal subgroup of | D4⋊#15688419, #37560270, Q8⋊#15688419, … |
| maximal quotient of | #37560283, #37560285, #37560288, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11936, 212);