Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | #103×Dic89 |
| Sylow | C89 ⋊ C4×#103 |
332 conjugacy classes of subgroups.
1288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#103×D89, C2×#103×Dic89, C4×#19151593, … |
| maximal normal subgroup of | C4×#103×D89, C2×#103×Dic89, C4×#19151593, … |
| maximal quotient of | Q8⋊C8×Dic89, #36445057, #36445062, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 4332);