Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C8 |
No aliases for this group.
| Sylow | C89 ⋊ #1455 |
214 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=d,b^2=e,d^2=f,e^2=g,c^a=cf,c^b=cg,h^b=h^881816 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36441488, #36441490, #36448158, … |
| maximal normal subgroup of | #36441488, #36441490, #36448158, … |
| maximal quotient of | #36443804, #36443821, #36444865, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 2813);