Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Fitting | C2×C4×Q8×C89 ⋊ C2 |
| Sylow | C89 ⋊ #3523 |
992 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=f,b^2=f,d^2=f,e^2=fg,b^a=bf,c^a=cg,e^a=ef,h^a=h^88,d^b=df1804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36446315, #36446319, #36521643, … |
| maximal normal subgroup of | #36446315, #36446319, #36521643, … |
| maximal quotient of | #36714668, #36715177, #36715294, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 18606);