Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C4×M16×D89 |
| Fitting | C4×M16×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×C4×M16 |
656 conjugacy classes of subgroups.
1840 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1278×D89, #36443922, #36443942, … |
| maximal normal subgroup of | #1278×D89, #36443922, #36443942, … |
| maximal quotient of | C8×M16×D89, #1451×D89, #1453×D89, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 12915);