Finite Group Databasebeta

← Group #308619

Character table — Group #308619

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-11111111111111111-11-1-1-1-1-1-1-1-1-1-111-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-11
χ51111111111111111111111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111
χ71111111111111111111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-11111-1-111-1
χ911111111111111111-1-1-1-111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111
χ1011111111111111111-1-1-1-111111-1-1111111-1-1111111-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1111111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111111-1111-1-111-1-111-1-1-1
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1111
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11-11111-1-1-1-11111-1
χ17222222222-2-22-222-2-22222-20000-2-20000002200-2-222000000000-20000000000000
χ18222222222-2-22-222-2-22222-20000-2-2000000-2-20022-2-200000000020000000000000
χ19222222222-2-22-222-2-2-2-2-2-2-2000022000000220022-2-2000000000-20000000000000
χ20222222222-2-22-222-2-2-2-2-2-2-2000022000000-2-200-2-22200000000020000000000000
χ2122222222-222-22-2-22-20000-22222002222-2-200-2-2000000000000-200000000000000
χ2222222222-222-22-2-22-20000-2222200-2-2-2-22200-2-2000000000000200000000000000
χ2322222222-222-22-2-22-20000-2-2-2-2-20022-2-2-2-20022000000000000200000000000000
χ2422222222-222-22-2-22-20000-2-2-2-2-200-2-222220022000000000000-200000000000000
χ25222-2-2-22-2222-2-22-2-2222-2-2-200002-20000000000000000000000002-200002-200000
χ26222-2-2-22-2222-2-22-2-2222-2-2-200002-2000000000000000000000000-220000-2200000
χ27222-2-2-22-2222-2-22-2-22-2-222-20000-220000000000000000000000002-20000-2200000
χ28222-2-2-22-2222-2-22-2-22-2-222-20000-22000000000000000000000000-2200002-200000
χ29222-2-2-22-22-2-2-222-22-222-2-220000-222i−2i002i−2i000000000000000000002i−2i000000000
χ30222-2-2-22-22-2-2-222-22-222-2-220000-22−2i2i00−2i2i00000000000000000000−2i2i000000000
χ31222-2-2-22-22-2-2-222-22-2-2-222200002-22i−2i002i−2i00000000000000000000−2i2i000000000
χ32222-2-2-22-22-2-2-222-22-2-2-222200002-2−2i2i00−2i2i000000000000000000002i−2i000000000
χ33222-2-2-22-2-2-2-222-22220000-20000002i−2i00−2i2i0000000022-2-200000000002i−2i0000000
χ34222-2-2-22-2-2-2-222-22220000-20000002i−2i00−2i2i00000000-2-2220000000000−2i2i0000000
χ35222-2-2-22-2-2-2-222-22220000-2000000−2i2i002i−2i0000000022-2-20000000000−2i2i0000000
χ36222-2-2-22-2-2-2-222-22220000-2000000−2i2i002i−2i00000000-2-22200000000002i−2i0000000
χ3722-222-2-2-2-200-2022002i−2i2i−2i022−2−2000000002i−2i2−2002-2i2−i2i2−i222−2−2000000000000i2−i20
χ3822-222-2-2-2-200-2022002i−2i2i−2i022−2−200000000−2i2i2−200-22i2−i2i2−i2−2−222000000000000−i2i20
χ3922-222-2-2-2-200-2022002i−2i2i−2i0−2−222000000002i−2i−22002-2−i2i2−i2i2−2−222000000000000−i2i20
χ4022-222-2-2-2-200-2022002i−2i2i−2i0−2−22200000000−2i2i−2200-22−i2i2−i2i222−2−2000000000000i2−i20
χ4122-222-2-2-2-200-202200−2i2i−2i2i022−2−2000000002i−2i2−200-22−i2i2−i2i2−2−222000000000000i2−i20
χ4222-222-2-2-2-200-202200−2i2i−2i2i022−2−200000000−2i2i2−2002-2−i2i2−i2i222−2−2000000000000−i2i20
χ4322-222-2-2-2-200-202200−2i2i−2i2i0−2−222000000002i−2i−2200-22i2−i2i2−i222−2−2000000000000−i2i20
χ4422-222-2-2-2-200-202200−2i2i−2i2i0−2−22200000000−2i2i−22002-2i2−i2i2−i2−2−222000000000000i2−i20
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-4-44-4-4444-4-44-4-4000040000000000000000000000000000000000000000000
χ4744-444-4-4-440040-4-400000002222−22−220000000000−2222000000000000000000000000000
χ4844-444-4-4-440040-4-40000000−22−222222000000000022−22000000000000000000000000000
χ4944-4-4-44-44400-40-440000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ5044-4-4-44-44400-40-44000000000000000000000000000−2i22i22i2−2i20000000000000000000
χ5144-4-4-44-44-400404-4004i−4i−4i4i00000000000000000000000000000000000000000000
χ5244-4-4-44-44-400404-400−4i4i4i−4i00000000000000000000000000000000000000000000
χ534-44-44-4-440000000000000022−2222−220000000000002i2−2i20000002i−2i2i−2i000000000000000
χ544-44-44-4-440000000000000022−2222−22000000000000−2i22i2000000−2i2i−2i2i000000000000000
χ554-44-44-4-4400000000000000−2222−22220000000000002i2−2i2000000−2i2i−2i2i000000000000000
χ564-44-44-4-4400000000000000−2222−2222000000000000−2i22i20000002i−2i2i−2i000000000000000
χ574-4-44-4-44404-40400-4000000000000000000000000000000000000000000002i2−2i2000
χ584-4-44-4-44404-40400-400000000000000000000000000000000000000000000−2i22i2000
χ594-4-44-4-4440-440-4004000000000000004-4000000000000000000000000000000000
χ604-4-44-4-4440-440-400400000000000000-44000000000000000000000000000000000
χ614-4-4-4444-404-40-40040000004-4-44000000000000000000000000000000000000000
χ624-4-4-4444-404-40-4004000000-444-4000000000000000000000000000000000000000
χ634-4-4-4444-40-440400-40000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ644-4-4-4444-40-440400-4000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ658-888-88-8-8000000000000000000000000000000000000000000000000000000000

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