Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
No aliases for this group.
| Sylow | C89 ⋊ #2297 |
936 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=g,b^2=eg,d^2=f,b^a=be,c^a=cf,h^a=h^88,h^b=h^881816 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36447897, #36447900, #36447901, … |
| maximal normal subgroup of | #36447897, #36447900, #36447901, … |
| maximal quotient of | #36475543, #36475571, C4×#19151478, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 7001);