Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C22 |
| direct product | C2×#19151432 |
| Sylow | C89 ⋊ C2×M64 |
112 conjugacy classes of subgroups.
2896 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36442116, #36442117, #36442118, … |
| maximal normal subgroup of | #36442116, #36442117, #36442118, … |
| maximal quotient of | C2×#26018386, C4×#19151432, C2×C22⋊#15667918, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6802);