Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Sylow | C89 ⋊ #1745 |
272 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=e,b^2=f,c^2=d,e^2=g,b^a=bd,c^a=cg,h^a=h^882872 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36440973, #36440974, #36441026, … |
| maximal normal subgroup of | #36440973, #36440974, #36441026, … |
| maximal quotient of | #36444854, #36444861, #36444865, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 4259);