Finite Group DatabasebetaFinite Group Databasebeta| order | 11936 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C8×C373 ⋊ C4 |
| Sylow | C373 ⋊ #97 |
40 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,373|a^2=c,b^2=d,c^2=e,b^a=be,f^b=f^104,f^d=f^372764 conjugacy classes — view the full character table.
| maximal subgroup of | #37560312, #37560313, C2×#26045846, … |
| maximal normal subgroup of | #37560312, #37560313, C2×#26045846, … |
| maximal quotient of | #37560263, #15688419⋊C8, (C2×#13093637)⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11936, 200);