Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C2×C22⋊Q8×C89 ⋊ C2 |
| Sylow | C89 ⋊ #2732 |
528 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=ef,b^2=ef,d^2=ef,b^a=be,c^a=cf,d^a=def,c^b=cg,d^b=de,h^c=h^881264 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36762018, #36762019, #36762023, … |
| maximal normal subgroup of | #36762018, #36762019, #36762023, … |
| maximal quotient of | #36482301, #36482303, #36482424, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 11525);