Finite Group DatabasebetaFinite Group Databasebeta| order | 11936 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C373 ⋊ C22⋊Q8 |
74 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,373|a^2=d,b^2=d,b^a=bd,c^a=ce,f^b=f^3721874 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C22⋊Q8×D373, C2×#26045769, #37559928, … |
| maximal normal subgroup of | C22⋊Q8×D373, C2×#26045769, #37559928, … |
| maximal quotient of | #37559280, #37559294, #37559297, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11936, 123);