Finite Group DatabasebetaFinite Group Databasebeta| order | 11936 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C373 ⋊ C4⋊C8 |
38 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,373|a^2=d,b^2=c,d^2=e,b^a=bc,f^a=f^104,f^b=f^372,f^d=f^372764 conjugacy classes — view the full character table.
| maximal subgroup of | #37560280, #37560281, #37560282, … |
| maximal normal subgroup of | #37560280, #37560281, #37560282, … |
| maximal quotient of | #37560284, #37560286, #37560288, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11936, 213);