Finite Group DatabasebetaFinite Group Databasebeta| order | 11936 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C22⋊C4×C373 ⋊ C2 |
| Sylow | C373 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,373|a^2=e,c^2=e,b^a=bd,f^c=f^3721880 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×D4×D373, C2×#26045752, C4×#20238609, … |
| maximal normal subgroup of | C4×D4×D373, C2×#26045752, C4×#20238609, … |
| maximal quotient of | #37559269, C22⋊C4×Dic373, #37559273, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11936, 106);