Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C89 ⋊ #2365 |
552 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=g,b^2=g,c^2=f,d^2=e,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 | #36576678, #36576680, #36576700, … |
| maximal normal subgroup of | #36576678, #36576680, #36576700, … |
| maximal quotient of | C4⋊C4×#13083553, #36475966, #36475969, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 7564);