Finite Group Databasebeta

← Group #266248

Character table — Group #266248

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444448888888888888888888161616161616161616161616161616161616
order12222222444444444444444444444444444444488888888444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111-1-1-1-1111-1-111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111
χ6111111111111111111111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ7111111111111111111111-1-1-1-1111-1-1-1-1-1-11-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1
χ8111111111111111111111-1-1-1-1111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ91111111111111111-1-11-1-11111-1-111111-1-1-1-1-1-1-11111-1-1-1-111-1-11-111-1-111-1-111-1-1
χ101111111111111111-1-11-1-11111-1-111111-1-1-1-1-1-1-1-1-1-1-11111-1-1111-111-1-1-1-111-1-111
χ111111111111111111-1-11-1-11111-1-1111-1-111-1-1-1-1-11111-1-1-1-1-1-111-11-1-11111-1-1-1-111
χ121111111111111111-1-11-1-11111-1-1111-1-111-1-1-1-1-1-1-1-1-1111111-1-1-11-1-111-1-11111-1-1
χ131111111111111111-1-11-1-1-1-1-1-1-1-11-1-111-1-1-111111111-1-1-1-1-1-1111-1-1-111-1-11111-1-1
χ141111111111111111-1-11-1-1-1-1-1-1-1-11-1-111-1-1-11111-1-1-1-1111111-1-11-1-1-11111-1-1-1-111
χ151111111111111111-1-11-1-1-1-1-1-1-1-11-1-1-1-111-111111111-1-1-1-111-1-1-1111-1-1-1-111-1-111
χ161111111111111111-1-11-1-1-1-1-1-1-1-11-1-1-1-111-11111-1-1-1-11111-1-111-1111-1-111-1-111-1-1
χ172222222222-2-222-2-222-2220000-2-2-2002222-20000000000000000-2-2000000000000
χ182222222222-2-222-2-222-2220000-2-2-200-2-2-2-2-2000000000000000022000000000000
χ192222222222-2-222-2-2-2-2-2-2-2000022-20022-2-220000000000000000-22000000000000
χ202222222222-2-222-2-2-2-2-2-2-2000022-200-2-222200000000000000002-2000000000000
χ2122222222-2-222-2-22222-2-2-2222222-2-2-20000-222-2-200000000000000000000000000
χ2222222222-2-222-2-22222-2-2-2-2-2-2-222-2220000-2-2-22200000000000000000000000000
χ2322222222-2-222-2-222-2-2-2222222-2-2-2-2-200002-2-22200000000000000000000000000
χ2422222222-2-222-2-222-2-2-222-2-2-2-2-2-2-2220000222-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-20000-2-2200000020000000000000000002-22-200000000
χ2622222222-2-2-2-2-2-2-2-2222-2-20000-2-220000002000000000000000000-22-2200000000
χ2722222222-2-2-2-2-2-2-2-2-2-22220000222000000-20000000000000000002-2-2200000000
χ2822222222-2-2-2-2-2-2-2-2-2-22220000222000000-2000000000000000000-222-200000000
χ29222-22-2-2-2222-2-2-22-20020022-2-200-22-200000000000000000002-20000000000002-2
χ30222-22-2-2-2222-2-2-22-20020022-2-200-22-20000000000000000000-22000000000000-22
χ31222-22-2-2-2222-2-2-22-200200-2-22200-2-2200000000000000000002-2000000000000-22
χ32222-22-2-2-2222-2-2-22-200200-2-22200-2-220000000000000000000-220000000000002-2
χ33222-22-2-2-2-2-22-2222-200-20022-2-2002-22000000000000000002i−2i0000000000002i−2i00
χ34222-22-2-2-2-2-22-2222-200-20022-2-2002-2200000000000000000−2i2i000000000000−2i2i00
χ35222-22-2-2-2-2-22-2222-200-200-2-2220022-2000000000000000002i−2i000000000000−2i2i00
χ36222-22-2-2-2-2-22-2222-200-200-2-2220022-200000000000000000−2i2i0000000000002i−2i00
χ372-22-2-222-200-22002-22i−2i0002i−2i2i−2i2i−2i000000002-20022−2−2i2i2−i2−i20000000000i2−i22−20000
χ382-22-2-222-200-22002-22i−2i0002i−2i2i−2i2i−2i000000002-200−2−222−i2−i2i2i20000000000−i2i2−220000
χ392-22-2-222-200-22002-22i−2i000−2i2i−2i2i2i−2i00000000-220022−2−2i2i2−i2−i20000000000−i2i2−220000
χ402-22-2-222-200-22002-22i−2i000−2i2i−2i2i2i−2i00000000-2200−2−222−i2−i2i2i20000000000i2−i22−20000
χ412-22-2-222-200-22002-2−2i2i0002i−2i2i−2i−2i2i00000000-220022−2−2−i2−i2i2i20000000000i2−i2−220000
χ422-22-2-222-200-22002-2−2i2i0002i−2i2i−2i−2i2i00000000-2200−2−222i2i2−i2−i20000000000−i2i22−20000
χ432-22-2-222-200-22002-2−2i2i000−2i2i−2i2i−2i2i000000002-20022−2−2−i2−i2i2i20000000000−i2i22−20000
χ442-22-2-222-200-22002-2−2i2i000−2i2i−2i2i−2i2i000000002-200−2−222i2i2−i2−i20000000000i2−i2−220000
χ45444-44-4-4-444-44-4-4-4400-40000000040000000000000000000000000000000000000
χ46444-44-4-4-4-4-4-4444-4400400000000-40000000000000000000000000000000000000
χ4744-44-44-4-44-4004-40000000000000000004-40000000000000000000000000000000
χ4844-44-44-4-44-4004-4000000000000000000-440000000000000000000000000000000
χ4944-44-44-4-4-4400-4400000000000000004-4000000000000000000000000000000000
χ5044-44-44-4-4-4400-440000000000000000-44000000000000000000000000000000000
χ5144-4-4-4-4444-400-4400000000000000000000000002i2−2i22i2−2i20000000000000000000000
χ5244-4-4-4-4444-400-440000000000000000000000000−2i22i2−2i22i20000000000000000000000
χ5344-4-4-4-444-44004-4000000000000000000000000000002i2−2i22i2−2i2000000000000000000
χ5444-4-4-4-444-44004-400000000000000000000000000000−2i22i2−2i22i2000000000000000000
χ554-444-4-4-44004400-4-40000000000000000000004-400000000000000000000000000
χ564-444-4-4-44004400-4-4000000000000000000000-4400000000000000000000000000
χ574-444-4-4-4400-4-40044000004i−4i−4i4i0000000000000000000000000000000000000000
χ584-444-4-4-4400-4-4004400000−4i4i4i−4i0000000000000000000000000000000000000000
χ594-44-4-444-4004-400-444i−4i0000000−4i4i00000000000000000000000000000000000000
χ604-44-4-444-4004-400-44−4i4i00000004i−4i00000000000000000000000000000000000000
χ614-4-444-44-4000000000004i−4i0000000000000000002i−2i−2i2i2-2-22000000000000000000
χ624-4-444-44-4000000000004i−4i000000000000000000−2i2i2i−2i-222-2000000000000000000
χ634-4-444-44-400000000000−4i4i0000000000000000002i−2i−2i2i-222-2000000000000000000
χ644-4-444-44-400000000000−4i4i000000000000000000−2i2i2i−2i2-2-22000000000000000000
χ658-8-8-888-88000000000000000000000000000000000000000000000000000000000

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