Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
No aliases for this group.
| Fitting | C2×#117×C89 ⋊ C2 |
| Sylow | C89 ⋊ #3428 |
1540 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=g,e^2=f,b^a=bf,d^a=df,c^b=cf,h^c=h^881828 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36459759, #36459762, #36459779, … |
| maximal normal subgroup of | #36459759, #36459762, #36459779, … |
| maximal quotient of | #36712640, #36712642, #36712654, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17711);