Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Fitting | #405×C89 ⋊ C2 |
| Sylow | C89 ⋊ C4×#131 |
572 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=e,b^2=f,e^2=g,h^b=h^88,d^c=dg,h^d=h^881840 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36469475, #36469480, #36470364, … |
| maximal normal subgroup of | #36469475, #36469480, #36470364, … |
| maximal quotient of | #36520015, C8×#15668020, #36520039, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 12932);