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 ⋊ #2920 |
484 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=f,c^2=e,f^2=g,b^a=be,d^a=dg,h^a=h^882872 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36443829, #36443830, #36443832, … |
| maximal normal subgroup of | #36443829, #36443830, #36443832, … |
| maximal quotient of | #36551904, C4×#19151562, C4×#19151622, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13143);