Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C89 ⋊ #2652 |
392 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=g,c^2=e,d^2=f,b^a=be,c^a=cf,c^b=cg,d^c=de,h^c=h^881792 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #2652×D89, C2×#26026294, #36720949, … |
| maximal normal subgroup of | #2652×D89, C2×#26026294, #36720949, … |
| maximal quotient of | #36480912, #36481010, #36481046, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 10552);