Finite Group Databasebeta

← Group #266276

Character table — Group #266276

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
χ31111111111111111111111111111-1-111-1-11111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1-111-1-1111-1-1-111-1-111-1-1
χ6111111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-1-111-1-111
χ7111111111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1-11111-1-1-1-1-1-111-1-1-111111-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1111-1-11111-1-1
χ911111111111111111-1-1-1-1111111111-1-1111-1-1-1-111111111-1-1-1-11-1-11-1-1-1-1-1-11111
χ1011111111111111111-1-1-1-1111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-11111-1-1-1-1
χ1111111111111111111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-1111111111111-111-111-1-1-1-1-1-1-1-1
χ1211111111111111111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111111111
χ1311111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-111111111-1-1-1-1-1-1111-1-1-111-1-11111-1-1
χ1411111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1111111-1-11-1-1-11111-1-1-1-111
χ1511111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-111111111-1-1-1-111-1-1-1111-1-1-1-111-1-111
χ1611111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-11111-1-1-1-11111-1-111-1111-1-111-1-111-1-1
χ172222222222-2-222-2-2-200002222-2-2-2220022-20000000000000000-200-20000000000
χ182222222222-2-222-2-2-200002222-2-2-2-2-200-2-2-2000000000000000020020000000000
χ192222222222-2-222-2-2-20000-2-2-2-222-22200-2-220000000000000000-20020000000000
χ202222222222-2-222-2-2-20000-2-2-2-222-2-2-2002220000000000000000200-20000000000
χ2122222222-2-222-2-222-2222222-2-2-2-2-200-2-200222-2-200000000000000000000000000
χ2222222222-2-222-2-222-22222-2-22222-200-2-200-2-2-22200000000000000000000000000
χ2322222222-2-222-2-222-2-2-2-2-222-2-2-2-2-20022002-2-22200000000000000000000000000
χ2422222222-2-222-2-222-2-2-2-2-2-2-22222-2002200-222-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22000022-2-2222000000-2000000000000000002-202-200000000
χ2622222222-2-2-2-2-2-2-2-22000022-2-2222000000-200000000000000000-220-2200000000
χ2722222222-2-2-2-2-2-2-2-220000-2-222-2-220000002000000000000000002-20-2200000000
χ2822222222-2-2-2-2-2-2-2-220000-2-222-2-22000000200000000000000000-2202-200000000
χ29222-22-2-2-2222-2-2-22-2222-2-2000000-2002-2000000000000000002-20000000000002-2
χ30222-22-2-2-2222-2-2-22-2222-2-2000000-2002-200000000000000000-22000000000000-22
χ31222-22-2-2-2222-2-2-22-22-2-222000000-200-22000000000000000002-2000000000000-22
χ32222-22-2-2-2222-2-2-22-22-2-222000000-200-2200000000000000000-220000000000002-2
χ33222-22-2-2-2-2-22-2222-2-222-2-2000000200-220000000000000002i−2i0000000000002i−2i00
χ34222-22-2-2-2-2-22-2222-2-222-2-2000000200-22000000000000000−2i2i000000000000−2i2i00
χ35222-22-2-2-2-2-22-2222-2-2-2-2220000002002-20000000000000002i−2i000000000000−2i2i00
χ36222-22-2-2-2-2-22-2222-2-2-2-2220000002002-2000000000000000−2i2i0000000000002i−2i00
χ372-2-222-22-2002-200-2202i−2i2i−2i002i−2i2i−2i00000000002-222−2−2i2i2−i2−i20000000000i2−i22−20000
χ382-2-222-22-2002-200-2202i−2i2i−2i002i−2i2i−2i00000000002-2−2−222−i2−i2i2i20000000000−i2i2−220000
χ392-2-222-22-2002-200-2202i−2i2i−2i00−2i2i−2i2i0000000000-2222−2−2−i2−i2i2i20000000000i2−i2−220000
χ402-2-222-22-2002-200-2202i−2i2i−2i00−2i2i−2i2i0000000000-22−2−222i2i2−i2−i20000000000−i2i22−20000
χ412-2-222-22-2002-200-220−2i2i−2i2i002i−2i2i−2i0000000000-2222−2−2i2i2−i2−i20000000000−i2i2−220000
χ422-2-222-22-2002-200-220−2i2i−2i2i002i−2i2i−2i0000000000-22−2−222−i2−i2i2i20000000000i2−i22−20000
χ432-2-222-22-2002-200-220−2i2i−2i2i00−2i2i−2i2i00000000002-222−2−2−i2−i2i2i20000000000−i2i22−20000
χ442-2-222-22-2002-200-220−2i2i−2i2i00−2i2i−2i2i00000000002-2−2−222i2i2−i2−i20000000000i2−i2−220000
χ45444-44-4-4-444-44-4-4-44-4000000000040000000000000000000000000000000000000
χ46444-44-4-4-4-4-4-4444-4440000000000-40000000000000000000000000000000000000
χ4744-44-44-4-44-4004-40000000000000000004-40000000000000000000000000000000
χ4844-44-44-4-44-4004-4000000000000000000-440000000000000000000000000000000
χ4944-44-44-4-4-4400-44000000000000004-400000000000000000000000000000000000
χ5044-44-44-4-4-4400-4400000000000000-4400000000000000000000000000000000000
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
χ554-44-4-444-400000000000004i−4i00000000000000002i−2i−2i2i2-2-22000000000000000000
χ564-44-4-444-400000000000004i−4i0000000000000000−2i2i2i−2i-222-2000000000000000000
χ574-44-4-444-40000000000000−4i4i00000000000000002i−2i−2i2i-222-2000000000000000000
χ584-44-4-444-40000000000000−4i4i0000000000000000−2i2i2i−2i2-2-22000000000000000000
χ594-4-444-44-400-44004-400000004i−4i−4i4i00000000000000000000000000000000000000
χ604-4-444-44-400-44004-40000000−4i4i4i−4i00000000000000000000000000000000000000
χ614-4-4-444-44004400-4-404i−4i−4i4i00000000000000000000000000000000000000000000
χ624-4-4-444-44004400-4-40−4i4i4i−4i00000000000000000000000000000000000000000000
χ634-4-4-444-4400-4-4004400000000000000000004-40000000000000000000000000000
χ644-4-4-444-4400-4-400440000000000000000000-440000000000000000000000000000
χ658-888-8-8-88000000000000000000000000000000000000000000000000000000000

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