Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C22×#15668012 |
| Sylow | C89 ⋊ C22×C4⋊Q8 |
1624 conjugacy classes of subgroups.
2872 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36445914, #36445916, #36445923, … |
| maximal normal subgroup of | #36445914, #36445916, #36445923, … |
| maximal quotient of | C22×#19151468, C22×#19151496, C22×#19151504, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17786);