Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C211 |
| direct product | C23×C22⋊Dic89 |
| Sylow | C89 ⋊ C23×C22⋊C4 |
4632 conjugacy classes of subgroups.
2896 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36442350, #36459689, #36459725, … |
| maximal normal subgroup of | #36442350, #36459689, #36459725, … |
| maximal quotient of | C23×#15667919, C22×C4×C22⋊Dic89, C22×#19151454, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17668);