Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C43 · Schur multiplier (H2) = C2×C42 |
| direct product | C4×#15667923 |
| Sylow | C89 ⋊ C4×#97 |
360 conjugacy classes of subgroups.
2896 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36440963, #36440992, #36440994, … |
| maximal normal subgroup of | #36440963, #36440992, #36440994, … |
| maximal quotient of | C4×#19151320, C8×#15667923, #36443788, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 4195);