Finite Group Databasebeta

← Group #290641

Character table — Group #290641

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size111111112222222244444444444444888888888888888888888816161616161616161616161616161616
order12222222222244444444444444444444444488888888888888884444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ7111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1
χ9111111111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-11-11-111-1-111-1-1
χ10111111111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11-1-111-1-111
χ11111111111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111111-11-11-11-1-1-111-1-111
χ12111111111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-11-11-11-1111-1-111-1-1
χ13111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-1111-1-1-1-111
χ14111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11111-111-1-111-1-1-11111-1-1
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-11-1-111-1-11-1-11111-1-1
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-1-111-1-111-111-1-1-1-111
χ172222222222222222222222-2-2-2-2-2-2-2-222-2-2-2-200000000000000000000000000000000
χ18222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000
χ19222222222222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22200000000000000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-200000000000000000000000000000000
χ2122222222-2-2-2-22222-2-2000022-2-22-22-200000000000000000000002200-2-20000000000
χ2222222222-2-2-2-22222-2-2000022-2-22-22-20000000000000000000000-2-200220000000000
χ2322222222-2-2-2-22222-2-20000-2-222-22-220000000000000000000000002200-2-200000000
χ2422222222-2-2-2-22222-2-20000-2-222-22-22000000000000000000000000-2-2002200000000
χ2522222222-2-2-2-2-2-2-2-222000022-2-2-22-220000000000000000000000002-200-2200000000
χ2622222222-2-2-2-2-2-2-2-222000022-2-2-22-22000000000000000000000000-22002-200000000
χ2722222222-2-2-2-2-2-2-2-2220000-2-2222-22-200000000000000000000002-200-220000000000
χ2822222222-2-2-2-2-2-2-2-2220000-2-2222-22-20000000000000000000000-22002-20000000000
χ292222-2-2-2-222-2-222-2-22-222-2-2000000002-2000022−2−222−2−222−2−222−2−20000000000000000
χ302222-2-2-2-222-2-222-2-22-222-2-2000000002-20000−2−222−2−222−2−222−2−2220000000000000000
χ312222-2-2-2-222-2-222-2-22-2-2-22200000000-22000022−2−222−2−2−2−222−2−2220000000000000000
χ322222-2-2-2-222-2-222-2-22-2-2-22200000000-220000−2−222−2−22222−2−222−2−20000000000000000
χ332222-2-2-2-222-2-2-2-222-2222-2-200000000-22000022−2−2−2−22222−2−2−2−2220000000000000000
χ342222-2-2-2-222-2-2-2-222-2222-2-200000000-220000−2−22222−2−2−2−22222−2−20000000000000000
χ352222-2-2-2-222-2-2-2-222-22-2-222000000002-2000022−2−2−2−222−2−22222−2−20000000000000000
χ362222-2-2-2-222-2-2-2-222-22-2-222000000002-20000−2−22222−2−222−2−2−2−2220000000000000000
χ3722-2-22-22-22-22-20000002i−2i2i−2i00002-2-22002i−2i0000002i−2i2i−2i00002-22-20000000000000000
χ3822-2-22-22-22-22-20000002i−2i2i−2i00002-2-22002i−2i000000−2i2i−2i2i0000-22-220000000000000000
χ3922-2-22-22-22-22-20000002i−2i2i−2i0000-222-200−2i2i002-22-200002i−2i2i−2i00000000000000000000
χ4022-2-22-22-22-22-20000002i−2i2i−2i0000-222-200−2i2i00-22-220000−2i2i−2i2i00000000000000000000
χ4122-2-22-22-22-22-2000000−2i2i−2i2i00002-2-2200−2i2i0000002i−2i2i−2i0000-22-220000000000000000
χ4222-2-22-22-22-22-2000000−2i2i−2i2i00002-2-2200−2i2i000000−2i2i−2i2i00002-22-20000000000000000
χ4322-2-22-22-22-22-2000000−2i2i−2i2i0000-222-2002i−2i002-22-20000−2i2i−2i2i00000000000000000000
χ4422-2-22-22-22-22-2000000−2i2i−2i2i0000-222-2002i−2i00-22-2200002i−2i2i−2i00000000000000000000
χ4522-2-2-22-222-2-220000002i−2i−2i2i2i−2i2i−2i000000002-22−2−22i2−i2−i2i2i2−i2−i2i22−2−220000000000000000
χ4622-2-2-22-222-2-220000002i−2i−2i2i2i−2i2i−2i000000002-2−222−2−i2i2i2−i2−i2i2i2−i2−222−20000000000000000
χ4722-2-2-22-222-2-220000002i−2i−2i2i−2i2i−2i2i00000000-222−2−22−i2i2i2−i2i2−i2−i2i2−222−20000000000000000
χ4822-2-2-22-222-2-220000002i−2i−2i2i−2i2i−2i2i00000000-22−222−2i2−i2−i2i2−i2i2i2−i22−2−220000000000000000
χ4922-2-2-22-222-2-22000000−2i2i2i−2i2i−2i2i−2i00000000-222−2−22i2−i2−i2i2−i2i2i2−i2−222−20000000000000000
χ5022-2-2-22-222-2-22000000−2i2i2i−2i2i−2i2i−2i00000000-22−222−2−i2i2i2−i2i2−i2−i2i22−2−220000000000000000
χ5122-2-2-22-222-2-22000000−2i2i2i−2i−2i2i−2i2i000000002-22−2−22−i2i2i2−i2−i2i2i2−i22−2−220000000000000000
χ5222-2-2-22-222-2-22000000−2i2i2i−2i−2i2i−2i2i000000002-2−222−2i2−i2−i2i2i2−i2−i2i2−222−20000000000000000
χ534444-4-4-4-4-4-44444-4-4-4400000000000000000000000000000000000000000000000000
χ544444-4-4-4-4-4-444-4-4444-400000000000000000000000000000000000000000000000000
χ5544-4-44-44-4-44-440000000000000044-4-400000000000000000000000000000000000000
χ5644-4-44-44-4-44-4400000000000000-4-44400000000000000000000000000000000000000
χ5744-4-4-44-44-444-400000000004i−4i−4i4i000000000000000000000000000000000000000000
χ5844-4-4-44-44-444-40000000000−4i4i4i−4i000000000000000000000000000000000000000000
χ594-44-44-4-4400004i−4i4i−4i0000000000000000000000000000000000000000000000002-22i−2i
χ604-44-44-4-4400004i−4i4i−4i000000000000000000000000000000000000000000000000-22−2i2i
χ614-44-44-4-440000−4i4i−4i4i0000000000000000000000000000000000000000000000002-2−2i2i
χ624-44-44-4-440000−4i4i−4i4i000000000000000000000000000000000000000000000000-222i−2i
χ634-44-4-444-400004i−4i−4i4i000000000000000000000000000000000000000000002-22i−2i0000
χ644-44-4-444-400004i−4i−4i4i00000000000000000000000000000000000000000000-22−2i2i0000
χ654-44-4-444-40000−4i4i4i−4i000000000000000000000000000000000000000000002-2−2i2i0000
χ664-44-4-444-40000−4i4i4i−4i00000000000000000000000000000000000000000000-222i−2i0000
χ678-8-8888-8-8000000000000000000000000000000000000000000000000000000000000
χ688-8-88-8-888000000000000000000000000000000000000000000000000000000000000

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