Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C2×#19151455 |
| Fitting | C22×C4⋊C4×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#380 |
1232 conjugacy classes of subgroups.
1816 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36459676, #36459679, #36459704, … |
| maximal normal subgroup of | #36459676, #36459679, #36459704, … |
| maximal quotient of | C2×#26018473, C2×#26018476, C2×#26018481, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6880);