Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Sylow | C89 ⋊ #2357 |
560 conjugacy classes of subgroups; only the 233 normal subgroups are shown.
This group has 560 conjugacy classes of subgroups — too many to draw. Only its 233 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^7,89|a^2=g,b^2=ef,c^2=ef,d^2=e,b^a=be,c^a=cf,h^a=h^88,d^b=de1810 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36448021, #36448025, #36448026, … |
| maximal normal subgroup of | #36448021, #36448025, #36448026, … |
| maximal quotient of | #36475874, #36475893, #36475917, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 7483);