Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C89 ⋊ #1369 |
60 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=d,b^2=c,c^2=e,d^2=f,e^2=g,f^2=g,b^a=bc,c^a=ce,e^a=eg,h^a=h^88,d^b=dg1792 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36441899, #36441900, #36441902, … |
| maximal normal subgroup of | #36441899, #36441900, #36441902, … |
| maximal quotient of | #36441166, #36441314, C2×#26018320 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 2578);