Finite Group Databasebeta

← Group #308392

Character table — Group #308392

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1-1-11111111111111111-11-1-1-1-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111
χ51111111111111111111111-1-1-1-1111111-1-111-1-111-1-1-1-111-1-1-1-1-1111-1-111-1-111-1-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111
χ71111111111111111111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1111
χ81111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-11111-1-11111-1-1-1
χ91111111111111111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11
χ101111111111111111-1-1-1-111111111-1-11111-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-11111-1
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-11111-1-11111-111111-1-1-1-1-1-111-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-111-1-111-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11-111-1-11111-1-111-1
χ172222222222-22-2-2-222222-2-2000000-2-200002200220000-2-200000-20000000000000
χ182222222222-22-2-2-222222-2-2000000-2-20000-2-200-2-20000220000020000000000000
χ192222222222-22-2-2-22-2-2-2-2-2-20000002200002200-2-200002200000-20000000000000
χ202222222222-22-2-2-22-2-2-2-2-2-2000000220000-2-200220000-2-20000020000000000000
χ2122222222-2-22-2222-20000-2-222222200-2-2-2-200-2-2000000000000200000000000000
χ2222222222-2-22-2222-20000-2-22222-2-200222200-2-2000000000000-200000000000000
χ2322222222-2-22-2222-20000-2-2-2-2-2-22200-2-2220022000000000000-200000000000000
χ2422222222-2-22-2222-20000-2-2-2-2-2-2-2-20022-2-20022000000000000200000000000000
χ25222-2-2-22-2222-2-22-2-200002-200002-2002-20000000022-2-200000000002-2000000000
χ26222-2-2-22-2222-2-22-2-200002-200002-2002-200000000-2-2220000000000-22000000000
χ27222-2-2-22-2222-2-22-2-200002-20000-2200-220000000022-2-20000000000-22000000000
χ28222-2-2-22-2222-2-22-2-200002-20000-2200-2200000000-2-22200000000002-2000000000
χ29222-2-2-22-2-2-222-22-222i2i−2i−2i-2200002-22i−2i-220000000000000000000000002i−2i0000000
χ30222-2-2-22-2-2-222-22-222i2i−2i−2i-220000-222i−2i2-2000000000000000000000000−2i2i0000000
χ31222-2-2-22-2-2-222-22-22−2i−2i2i2i-2200002-2−2i2i-22000000000000000000000000−2i2i0000000
χ32222-2-2-22-2-2-222-22-22−2i−2i2i2i-220000-22−2i2i2-20000000000000000000000002i−2i0000000
χ33222-2-2-22-2-2-2-222-2222i2i−2i−2i2-2000000−2i2i00000000000000000000002i−2i0000002-2000
χ34222-2-2-22-2-2-2-222-2222i2i−2i−2i2-2000000−2i2i0000000000000000000000−2i2i000000-22000
χ35222-2-2-22-2-2-2-222-222−2i−2i2i2i2-20000002i−2i00000000000000000000002i−2i000000-22000
χ36222-2-2-22-2-2-2-222-222−2i−2i2i2i2-20000002i−2i0000000000000000000000−2i2i0000002-2000
χ3722-2-222-2-22-20-200022-22-20022−2−2000000002i−2i2−22i−2i2−22−200i2i2−i2−i200000000i2−i200000
χ3822-2-222-2-22-20-200022-22-20022−2−200000000−2i2i2−2−2i2i2−22−200−i2−i2i2i200000000−i2i200000
χ3922-2-222-2-22-20-200022-22-200−2−222000000002i−2i−222i−2i−22−2200−i2−i2i2i200000000−i2i200000
χ4022-2-222-2-22-20-200022-22-200−2−22200000000−2i2i−22−2i2i−22−2200i2i2−i2−i200000000i2−i200000
χ4122-2-222-2-22-20-20002-22-220022−2−2000000002i−2i2−2−2i2i−22−2200−i2−i2i2i200000000i2−i200000
χ4222-2-222-2-22-20-20002-22-220022−2−200000000−2i2i2−22i−2i−22−2200i2i2−i2−i200000000−i2i200000
χ4322-2-222-2-22-20-20002-22-2200−2−222000000002i−2i−22−2i2i2−22−200i2i2−i2−i200000000−i2i200000
χ4422-2-222-2-22-20-20002-22-2200−2−22200000000−2i2i−222i−2i2−22−200−i2−i2i2i200000000i2−i200000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-4-44-444-4-44-44-40000-440000000000000000000000000000000000000000000
χ4744-44-4-4-444-404000-400000000000000000000000022−22−2222000000000000000000000
χ4844-44-4-4-444-404000-4000000000000000000000000−222222−22000000000000000000000
χ4944-44-4-4-44-440-400044i−4i−4i4i000000000000000000000000000000000000000000000
χ5044-44-4-4-44-440-40004−4i4i4i−4i000000000000000000000000000000000000000000000
χ5144-4-444-4-4-4404000-40000002222−22−220000000000−2222000000000000000000000000000
χ5244-4-444-4-4-4404000-4000000−22−222222000000000022−22000000000000000000000000000
χ534-4444-4-4-400404-4-40000000000000000000000000000000000000000000000022−220
χ544-4444-4-4-400404-4-400000000000000000000000000000000000000000000000−22220
χ554-4444-4-4-400-40-444000000000000000004i−4i0000000000000000000000000000000
χ564-4444-4-4-400-40-44400000000000000000−4i4i0000000000000000000000000000000
χ574-44-4-44-440040-4-4400000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ584-44-4-44-440040-4-440000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ594-44-4-44-4400-4044-400000004i−4i4i−4i000000000000000000000000000000000000000
χ604-44-4-44-4400-4044-40000000−4i4i−4i4i000000000000000000000000000000000000000
χ614-4-44-444-4000000000000002i2−2i2−2i22i20000000000000000002i2−2i22-2-22000000000000000
χ624-4-44-444-4000000000000002i2−2i2−2i22i2000000000000000000−2i22i2-222-2000000000000000
χ634-4-44-444-400000000000000−2i22i22i2−2i20000000000000000002i2−2i2-222-2000000000000000
χ644-4-44-444-400000000000000−2i22i22i2−2i2000000000000000000−2i22i22-2-22000000000000000
χ658-8-8-88-888000000000000000000000000000000000000000000000000000000000

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