Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
No aliases for this group.
| Fitting | C2×#131×C89 ⋊ C2 |
| Sylow | C89 ⋊ #3573 |
1424 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=f,f^2=g,e^b=eg,d^c=dg,h^e=h^881828 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36469875, #36469877, #36469878, … |
| maximal normal subgroup of | #36469875, #36469877, #36469878, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 19221);