Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C89 ⋊ #2368 |
548 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=g,b^2=fg,c^2=ef,b^a=be,c^a=cf,d^b=de,h^c=h^881810 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #2368×D89, C2×#26023330, #36714082, … |
| maximal normal subgroup of | #2368×D89, C2×#26023330, #36714082, … |
| maximal quotient of | #36475857, #36475934, #36475937, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 7588);