Finite Group Databasebeta

← Group #349839

Character table — Group #349839

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size111111112222222244444444444444888888888888888888888816161616161616161616161616161616
order12222222222222222244444444444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1
χ91111111111-1-1-1-111-1-11111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-111-1-11111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-111-1-111
χ111111111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1-1-111-1-111
χ121111111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-1-11111-1-111-1-1
χ131111111111-1-1-1-111-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ141111111111-1-1-1-111-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ151111111111-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-111-1-11111-1-1
χ161111111111-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111
χ1722222222222222222222222222-2-2-2-2-2-2-2-2000000000000-2-200000000000000000000
χ18222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000-2-200000000000000000000
χ192222222222-2-2-2-222-2-22222-2-2-2-2-2-2-2-2-2-2220000000000002200000000000000000000
χ202222222222-2-2-2-222-2-2-2-2-2-22222-2-2-2-222-2-20000000000002200000000000000000000
χ2122222222-2-22222-2-2-2-20000000022-2-200000000000022222-2-2-2-2-20000000000000000
χ2222222222-2-22222-2-2-2-20000000022-2-2000000000000-2-2-2-22-222220000000000000000
χ2322222222-2-22222-2-2-2-200000000-2-222000022-2-222-2-20000-2200000000000000000000
χ2422222222-2-22222-2-2-2-200000000-2-2220000-2-222-2-2220000-2200000000000000000000
χ2522222222-2-2-2-2-2-2-2-2220000000022-2-200000000000022-2-2-22-2-2220000000000000000
χ2622222222-2-2-2-2-2-2-2-2220000000022-2-2000000000000-2-222-2222-2-20000000000000000
χ2722222222-2-2-2-2-2-2-2-22200000000-2-222000022-2-2-2-22200002-200000000000000000000
χ2822222222-2-2-2-2-2-2-2-22200000000-2-2220000-2-22222-2-200002-200000000000000000000
χ292222-2-2-2-2-2-222-2-2222-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000i2−i2i2−i22−22−2
χ302222-2-2-2-2-2-222-2-2222-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000−i2i2−i2i2−22−22
χ312222-2-2-2-2-2-222-2-2222-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000i2−i2i2−i2−22−22
χ322222-2-2-2-2-2-222-2-2222-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000−i2i2−i2i22−22−2
χ332222-2-2-2-2-2-2-2-22222-222i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000i2−i2−i2i22−2−22
χ342222-2-2-2-2-2-2-2-22222-222i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000−i2i2i2−i2−222−2
χ352222-2-2-2-2-2-2-2-22222-22−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000i2−i2−i2i2−222−2
χ362222-2-2-2-2-2-2-2-22222-22−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000−i2i2i2−i22−2−22
χ3722-2-22-22-22-200002-20000002-22-22-22-2002-200002i−2i2i−2i2i−2i00002i−2i000000000000000000
χ3822-2-22-22-22-200002-20000002-22-22-22-2002-20000−2i2i−2i2i−2i2i0000−2i2i000000000000000000
χ3922-2-22-22-22-200002-20000002-22-2-22-2200-222i−2i2i−2i0000002i−2i00002i−2i0000000000000000
χ4022-2-22-22-22-200002-20000002-22-2-22-2200-22−2i2i−2i2i000000−2i2i0000−2i2i0000000000000000
χ4122-2-22-22-22-200002-2000000-22-222-22-200-2200002i−2i2i−2i−2i2i0000−2i2i000000000000000000
χ4222-2-22-22-22-200002-2000000-22-222-22-200-220000−2i2i−2i2i2i−2i00002i−2i000000000000000000
χ4322-2-22-22-22-200002-2000000-22-22-22-22002-22i−2i2i−2i000000−2i2i0000−2i2i0000000000000000
χ4422-2-22-22-22-200002-2000000-22-22-22-22002-2−2i2i−2i2i0000002i−2i00002i−2i0000000000000000
χ4522-2-22-22-2-220000-22002-22-200002-2-222-2002i−2i−2i2i00002i−2i0000−2i2i000000000000000000
χ4622-2-22-22-2-220000-22002-22-200002-2-222-200−2i2i2i−2i0000−2i2i00002i−2i000000000000000000
χ4722-2-22-22-2-220000-22002-22-20000-222-2-220000002i−2i−2i2i002i−2i0000−2i2i0000000000000000
χ4822-2-22-22-2-220000-22002-22-20000-222-2-22000000−2i2i2i−2i00−2i2i00002i−2i0000000000000000
χ4922-2-22-22-2-220000-2200-22-2200002-2-22-22002i−2i−2i2i0000−2i2i00002i−2i000000000000000000
χ5022-2-22-22-2-220000-2200-22-2200002-2-22-2200−2i2i2i−2i00002i−2i0000−2i2i000000000000000000
χ5122-2-22-22-2-220000-2200-22-220000-222-22-20000002i−2i−2i2i00−2i2i00002i−2i0000000000000000
χ5222-2-22-22-2-220000-2200-22-220000-222-22-2000000−2i2i2i−2i002i−2i0000−2i2i0000000000000000
χ534444-4-4-4-44444-4-4-4-4-4400000000000000000000000000000000000000000000000000
χ544444-4-4-4-444-4-444-4-44-400000000000000000000000000000000000000000000000000
χ5544-4-4-44-444-40000-44004i−4i−4i4i0000000000000000000000000000000000000000000000
χ5644-4-4-44-444-40000-4400−4i4i4i−4i0000000000000000000000000000000000000000000000
χ5744-4-4-44-44-4400004-40000004i−4i−4i4i000000000000000000000000000000000000000000
χ5844-4-4-44-44-4400004-4000000−4i4i4i−4i000000000000000000000000000000000000000000
χ594-44-44-4-44004-44-40000000000000000000000000000000000000000002i−2i2i−2i00000000
χ604-44-44-4-44004-44-4000000000000000000000000000000000000000000−2i2i−2i2i00000000
χ614-44-44-4-4400-44-440000000000000000000000000000000000000000002i−2i−2i2i00000000
χ624-44-44-4-4400-44-44000000000000000000000000000000000000000000−2i2i2i−2i00000000
χ634-44-4-444-4004-4-44000000000000000000000000000000000000002i−2i2i−2i000000000000
χ644-44-4-444-4004-4-4400000000000000000000000000000000000000−2i2i−2i2i000000000000
χ654-44-4-444-400-444-4000000000000000000000000000000000000002i−2i−2i2i000000000000
χ664-44-4-444-400-444-400000000000000000000000000000000000000−2i2i2i−2i000000000000
χ678-8-8888-8-8000000000000000000000000000000000000000000000000000000000000
χ688-8-88-8-888000000000000000000000000000000000000000000000000000000000000

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