Finite Group Databasebeta

← Group #5943

Character table — Group #5943

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size11222444466668888881122244446666888888
order12444336622241212121212122244466662224121212121212
χ111111111111111111111111111111111111111
χ211111−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ311111−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ4111-1-111111-1-111-1-11-1-1111-1-111111-1-111-1-11-1-1
χ5111-1-1−1+i32−1−i32−1+i32−1−i321-1-11−1+i321−i321−i32−1−i321+i321+i32111-1-1−1+i32−1−i32−1+i32−1−i321-1-11−1+i321−i321−i32−1−i321+i321+i32
χ6111-1-1−1−i32−1+i32−1−i32−1+i321-1-11−1−i321+i321+i32−1+i321−i321−i32111-1-1−1−i32−1+i32−1−i32−1+i321-1-11−1−i321+i321+i32−1+i321−i321−i32
χ711-11-11111-11-11-11-1-11-111-11-11111-11-11-11-1-11-1
χ811-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321−i321+i32−1−i321+i3211-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321−i321+i32−1−i321+i32
χ911-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321+i321−i32−1+i321−i3211-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321+i321−i32−1+i321−i32
χ1011-1-111111-1-111-1-11-1-1111-1-111111-1-111-1-11-1-11
χ1111-1-11−1+i32−1−i32−1+i32−1−i32-1-1111−i321−i32−1+i321+i321+i32−1−i3211-1-11−1+i32−1−i32−1+i32−1−i32-1-1111−i321−i32−1+i321+i321+i32−1−i32
χ1211-1-11−1−i32−1+i32−1−i32−1+i32-1-1111+i321+i32−1−i321−i321−i32−1+i3211-1-11−1−i32−1+i32−1−i32−1+i32-1-1111+i321+i32−1−i321−i321−i32−1+i32
χ13333330000-1-1-1-1000000333330000-1-1-1-1000000
χ14333-3-30000-111-1000000333-3-30000-111-1000000
χ1533-33-300001-11-100000033-33-300001-11-1000000
χ1633-3-33000011-1-100000033-3-33000011-1-1000000
χ174-4000-2-22200000000004-4000-2-2220000000000
χ184-40001−i31+i3−1+i3−1−i300000000004-40001−i31+i3−1+i3−1−i30000000000
χ194-40001+i31−i3−1−i3−1+i300000000004-40001+i31−i3−1−i3−1+i30000000000
χ201111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-11−i321+i321−i321+i32-1-1-1-11−i321−i321−i321+i321+i321+i32
χ2211111−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-11+i321−i321+i321−i32-1-1-1-11+i321+i321+i321−i321−i321−i32
χ23111-1-111111-1-111-1-11-1-1-1-1-111-1-1-1-1-111-1-111-111
χ24111-1-1−1+i32−1−i32−1+i32−1−i321-1-11−1+i321−i321−i32−1−i321+i321+i32-1-1-1111−i321+i321−i321+i32-111-11−i32−1+i32−1+i321+i32−1−i32−1−i32
χ25111-1-1−1−i32−1+i32−1−i32−1+i321-1-11−1−i321+i321+i32−1+i321−i321−i32-1-1-1111+i321−i321+i321−i32-111-11+i32−1−i32−1−i321−i32−1+i32−1+i32
χ2611-11-11111-11-11-11-1-11-1-1-11-11-1-1-1-11-11-11-111-11
χ2711-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321−i321+i32−1−i321+i32-1-11-111−i321+i321−i321+i321-11-1−1+i321−i32−1+i32−1−i321+i32−1−i32
χ2811-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321+i321−i32−1+i321−i32-1-11-111+i321−i321+i321−i321-11-1−1−i321+i32−1−i32−1+i321−i32−1+i32
χ2911-1-111111-1-111-1-11-1-11-1-111-1-1-1-1-111-1-111-111-1
χ3011-1-11−1+i32−1−i32−1+i32−1−i32-1-1111−i321−i32−1+i321+i321+i32−1−i32-1-111-11−i321+i321−i321+i3211-1-1−1+i32−1+i321−i32−1−i32−1−i321+i32
χ3111-1-11−1−i32−1+i32−1−i32−1+i32-1-1111+i321+i32−1−i321−i321−i32−1+i32-1-111-11+i321−i321+i321−i3211-1-1−1−i32−1−i321+i32−1+i32−1+i321−i32
χ32333330000-1-1-1-1000000-3-3-3-3-300001111000000
χ33333-3-30000-111-1000000-3-3-33300001-1-11000000
χ3433-33-300001-11-1000000-3-33-330000-11-11000000
χ3533-3-33000011-1-1000000-3-333-30000-1-111000000
χ364-4000-2-2220000000000-4400022-2-20000000000
χ374-40001−i31+i3−1+i3−1−i30000000000-44000−1+i3−1−i31−i31+i30000000000
χ384-40001+i31−i3−1−i3−1+i30000000000-44000−1−i3−1+i31+i31−i30000000000

Here i is the imaginary unit (i² = −1).