Finite Group DatabasebetaFinite Group Databasebeta| order | 11936 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C22⋊C4×C373 ⋊ C2 |
| Sylow | C373 ⋊ #123 |
78 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,373|c^2=d,b^a=bd,c^a=ce,f^a=f^372,f^c=f^3721874 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37559613, #123×D373, C2×#26045776, … |
| maximal normal subgroup of | #37559613, #123×D373, C2×#26045776, … |
| maximal quotient of | #37559283, #37559297, #37559299, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11936, 130);