Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C43 · Schur multiplier (H2) = C2×C42 |
No aliases for this group.
| Sylow | C89 ⋊ #1726 |
328 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=d,b^2=e,c^2=f,d^2=g,h^a=h^88,c^b=cg1840 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36444866, #36444870, #36444874, … |
| maximal normal subgroup of | #36444866, #36444870, #36444874, … |
| maximal quotient of | #36443782, #36443785, #36443791, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 4197);