Finite Group DatabasebetaFinite Group Databasebeta| order | 11936 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | C22⋊#15688412 |
| 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^3722996 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37559145, #37559146, #37559147, … |
| maximal normal subgroup of | #37559145, #37559146, #37559147, … |
| maximal quotient of | #37559146, #37559148, D4⋊#15688412, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11936, 59);