Finite Group DatabasebetaFinite Group Databasebeta| order | 11936 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×C22⋊#13093637 |
| unambiguous semidirect product | D373⋊(C22⋊C4) |
| unambiguous semidirect product | (C2×#13093637)⋊C22 |
| Fitting | C23×C373 ⋊ C4 |
| Sylow | C373 ⋊ C2×C22⋊C4 |
132 conjugacy classes of subgroups.
764 conjugacy classes — view the full character table.
| maximal subgroup of | #37560299, #37560300, C4×C22⋊#13093637, … |
| maximal normal subgroup of | #37560299, #37560300, C4×C22⋊#13093637, … |
| maximal quotient of | C2×(C2×#13093637)⋊C4, C4×C22⋊#13093637, #37560363, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11936, 223);