Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×#19151449 |
| Sylow | C89 ⋊ C2×C4×C4⋊C4 |
928 conjugacy classes of subgroups.
1840 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36444023, #36444035, #36444422, … |
| maximal normal subgroup of | #36444023, #36444035, #36444422, … |
| maximal quotient of | C2×#95×Dic89, C4×#19151449, C2×#26018476, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6844);