Finite Group Databasebeta

← Group #308384

Character table — Group #308384

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-1111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-111-1-111111111111111-1-1-1-1-11-1-111-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1111-1-111-1-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111
χ71111111111111111111111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1111111-1-1-1
χ911111111111111111-1-1-1-11111111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-111111-1-1-1-11
χ1011111111111111111-1-1-1-11111111-1-111-1-11111-1-1-1-111111111-1-11-1-1-1-1-1-1-11111-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1111-1-1111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-111-111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-111111-1-1-1-111-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-111-1-1-11111-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111-1-11-1-1-1-111-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1111-1-1-11111-1-111-1
χ172222222222-22-2-2-22-22222-2000000-2-200220022000000-2-2000000000-2000000000
χ182222222222-22-2-2-22-22222-2000000-2-200-2-200-2-2000000220000000002000000000
χ192222222222-22-2-2-22-2-2-2-2-2-200000022002200-2-200000022000000000-2000000000
χ202222222222-22-2-2-22-2-2-2-2-2-20000002200-2-20022000000-2-20000000002000000000
χ2122222222-2-22-2222-2-20000-222222200-2-200-2-2000000-2-2000000002000000000000
χ2222222222-2-22-2222-2-20000-22222-2-200220022000000-2-200000000-2000000000000
χ2322222222-2-22-2222-2-20000-2-2-2-2-222002200-2-20000002200000000-2000000000000
χ2422222222-2-22-2222-2-20000-2-2-2-2-2-2-200-2-2002200000022000000002000000000000
χ25222-2-2-22-2222-2-22-2-220000-200002-20000002-20022-2-2000000000002-20000000000
χ26222-2-2-22-2222-2-22-2-220000-200002-20000002-200-2-22200000000000-220000000000
χ27222-2-2-22-2222-2-22-2-220000-20000-22000000-220022-2-200000000000-220000000000
χ28222-2-2-22-2222-2-22-2-220000-20000-22000000-2200-2-222000000000002-20000000000
χ29222-2-2-22-2-2-222-22-22-22i2i−2i−2i200002-22i−2i0000-22000000000000002i−2i0000000000000
χ30222-2-2-22-2-2-222-22-22-22i2i−2i−2i20000-222i−2i00002-200000000000000−2i2i0000000000000
χ31222-2-2-22-2-2-222-22-22-2−2i−2i2i2i200002-2−2i2i0000-2200000000000000−2i2i0000000000000
χ32222-2-2-22-2-2-222-22-22-2−2i−2i2i2i20000-22−2i2i00002-2000000000000002i−2i0000000000000
χ33222-2-2-22-2-2-2-222-22222i2i−2i−2i-2000000−2i2i000000000000000000000000002i−2i002-2000
χ34222-2-2-22-2-2-2-222-22222i2i−2i−2i-2000000−2i2i00000000000000000000000000−2i2i00-22000
χ35222-2-2-22-2-2-2-222-2222−2i−2i2i2i-20000002i−2i000000000000000000000000002i−2i00-22000
χ36222-2-2-22-2-2-2-222-2222−2i−2i2i2i-20000002i−2i00000000000000000000000000−2i2i002-2000
χ3722-22-2-2-222-20-2000202-22-2022−2−20000002i−2i002i−2i2−22−22−200i2i2−i2−i200000000i2−i200000
χ3822-22-2-2-222-20-2000202-22-2022−2−2000000−2i2i00−2i2i2−22−22−200−i2−i2i2i200000000−i2i200000
χ3922-22-2-2-222-20-2000202-22-20−2−2220000002i−2i002i−2i−22−22−2200−i2−i2i2i200000000−i2i200000
χ4022-22-2-2-222-20-2000202-22-20−2−222000000−2i2i00−2i2i−22−22−2200i2i2−i2−i200000000i2−i200000
χ4122-22-2-2-222-20-200020-22-22022−2−20000002i−2i00−2i2i−22−222−200−i2−i2i2i200000000i2−i200000
χ4222-22-2-2-222-20-200020-22-22022−2−2000000−2i2i002i−2i−22−222−200i2i2−i2−i200000000−i2i200000
χ4322-22-2-2-222-20-200020-22-220−2−2220000002i−2i00−2i2i2−22−2−2200i2i2−i2−i200000000−i2i200000
χ4422-22-2-2-222-20-200020-22-220−2−222000000−2i2i002i−2i2−22−2−2200−i2−i2i2i200000000i2−i200000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-4-44-444-4-44-44-4-4000040000000000000000000000000000000000000000000
χ4744-44-4-4-44-4404000-40000002222−22−220000000000000000−2222000000000000000000000
χ4844-44-4-4-44-4404000-4000000−22−222222000000000000000022−22000000000000000000000
χ4944-4-444-4-44-404000-4000000000000000000000022−22−222200000000000000000000000
χ5044-4-444-4-44-404000-40000000000000000000000−222222−2200000000000000000000000
χ5144-4-444-4-4-440-4000404i−4i−4i4i00000000000000000000000000000000000000000000
χ5244-4-444-4-4-440-400040−4i4i4i−4i00000000000000000000000000000000000000000000
χ534-4444-4-4-400404-4-4000000000000000000000000000000022−2222−22000000000000000
χ544-4444-4-4-400404-4-40000000000000000000000000000000−2222−2222000000000000000
χ554-4444-4-4-400-40-44400000004i−4i4i−4i000000000000000000000000000000000000000
χ564-4444-4-4-400-40-4440000000−4i4i−4i4i000000000000000000000000000000000000000
χ574-44-4-44-440040-4-44000000000000000000000000000000000000000000000002i2−2i20
χ584-44-4-44-440040-4-4400000000000000000000000000000000000000000000000−2i22i20
χ594-44-4-44-4400-4044-40000000000000004i−4i000000000000000000000000000000000
χ604-44-4-44-4400-4044-4000000000000000−4i4i000000000000000000000000000000000
χ614-4-44-444-4000000000000002i2−2i2−2i22i200000000000000000022−222i−2i−2i2i000000000000000
χ624-4-44-444-4000000000000002i2−2i2−2i22i2000000000000000000−2222−2i2i2i−2i000000000000000
χ634-4-44-444-400000000000000−2i22i22i2−2i200000000000000000022−22−2i2i2i−2i000000000000000
χ644-4-44-444-400000000000000−2i22i22i2−2i2000000000000000000−22222i−2i−2i2i000000000000000
χ658-8-8-88-888000000000000000000000000000000000000000000000000000000000

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