Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C43 · Schur multiplier (H2) = C23×C42 |
| direct product | C4×#15667919 |
| Sylow | C89 ⋊ C4×#95 |
752 conjugacy classes of subgroups.
2896 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36440959, #36440986, #36440988, … |
| maximal normal subgroup of | #36440959, #36440986, #36440988, … |
| maximal quotient of | #36442347, #36442348, C4×#19151352, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 2730);