Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C2×#121×C89 ⋊ C2 |
| Sylow | C89 ⋊ #3055 |
548 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|b^2=e,e^2=g,b^a=be,c^a=cf,e^a=eg,d^b=dg,h^b=h^881264 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36591854, #36591858, #36591876, … |
| maximal normal subgroup of | #36591854, #36591858, #36591876, … |
| maximal quotient of | #36537192, #36537214, #36537236, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 14125);