Finite Group DatabasebetaFinite Group Databasebeta| order | 11936 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| 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^3722990 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37559232, #37559233, #37559245, … |
| maximal normal subgroup of | #37559232, #37559233, #37559245, … |
| maximal quotient of | #37559173, #37559185, #37559245, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11936, 78);