Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C89 ⋊ #1401 |
72 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=d,c^2=g,d^2=e,e^2=f,f^2=g,b^a=bc,h^a=h^88,c^b=cg,d^b=dg1816 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1401×D89, C2×#26018394, #36474637, … |
| maximal normal subgroup of | #1401×D89, C2×#26018394, #36474637, … |
| maximal quotient of | #36441769, #36441829, #36441866, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 2652);