Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C89 ⋊ #1398 |
60 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=c,b^2=d,c^2=e,e^2=f,f^2=g,b^a=bf,d^a=dg,c^b=cg,h^b=h^881804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1398×D89, C2×#26018387, #36474614, … |
| maximal normal subgroup of | #1398×D89, C2×#26018387, #36474614, … |
| maximal quotient of | #36441757, #36441762, #36442116, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 2645);