Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C89 ⋊ #1371 |
70 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=d,b^2=ce,c^2=eg,d^2=f,e^2=g,b^a=bc,c^a=ce,e^a=eg,h^b=h^881276 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1371×D89, C2×#26018323, #36466011, … |
| maximal normal subgroup of | #1371×D89, C2×#26018323, #36466011, … |
| maximal quotient of | #36441167, #36441297, #36442104, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 2581);