Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#19151560 |
| Fitting | C2×C22⋊C8×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#407 |
1008 conjugacy classes of subgroups.
1816 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36444026, #36444032, #36444038, … |
| maximal normal subgroup of | #36444026, #36444032, #36444038, … |
| maximal quotient of | C2×#26018577, C2×#26018580, C2×#26018583, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 12944);