Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C22×D1424 |
| Fitting | C22×C16×C89 ⋊ C2 |
| Sylow | C89 ⋊ C22×D16 |
440 conjugacy classes of subgroups.
2860 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36471484, #36471486, #36471519, … |
| maximal normal subgroup of | #36471484, #36471486, #36471519, … |
| maximal quotient of | C22×#19151400, C22×#19151424, C2×C4×D1424, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17616);