Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | #102×Dic89 |
| Sylow | C89 ⋊ C4×#102 |
396 conjugacy classes of subgroups.
1288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#102×D89, C2×#102×Dic89, C4×#19151591, … |
| maximal normal subgroup of | C4×#102×D89, C2×#102×Dic89, C4×#19151591, … |
| maximal quotient of | D4⋊C8×Dic89, #36445052, #36445067, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 4327);