Finite Group Databasebeta

← Group #430342

Character table — Group #430342

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222222222244448888888888888888888888161616161616161616161616161616161616
order12222222224444444444442222444444444488888888224444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1111111-1-1-1-1111111111-1-1-11-1-1-1-1-111-1-111-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111111-1-1-1-111
χ71111111111111111111111-1-1-1-111-1-1-1-1111111111111-11-1-1-11-1-1-1-1-1-111-1-111
χ81111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-11-11111-1-11111-1-1
χ9111111111111111111-1-1-1-11111-1-1111111111111-1-1-1-11-1-1-11-1-1-111-1-1-1-1-1-111
χ10111111111111111111-1-1-1-11111-1-111111111-1-1-1-11111-11-1-1-1111-1-1-1-1-1-111-1-1
χ11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1-11-1-111111111-1-1
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11-111-1-11111-1-111
χ13111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1
χ14111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1111111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-1-11111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-1-1
χ17222222-2-2-2-222-22-2-2-2200000000002i2i−2i−2i00002i2i−2i−2i00002000-20000000000000
χ18222222-2-2-2-222-22-2-2-2200000000002i2i−2i−2i0000−2i−2i2i2i0000-200020000000000000
χ19222222-2-2-2-222-22-2-2-220000000000−2i−2i2i2i00002i2i−2i−2i0000-200020000000000000
χ20222222-2-2-2-222-22-2-2-220000000000−2i−2i2i2i0000−2i−2i2i2i00002000-20000000000000
χ21222222-2-2-2-2-2-22-2222-2000000000000002i2i−2i−2i00002i2i−2i−2i02000-2000000000000
χ22222222-2-2-2-2-2-22-2222-2000000000000002i2i−2i−2i0000−2i−2i2i2i0-20002000000000000
χ23222222-2-2-2-2-2-22-2222-200000000000000−2i−2i2i2i00002i2i−2i−2i0-20002000000000000
χ24222222-2-2-2-2-2-22-2222-200000000000000−2i−2i2i2i0000−2i−2i2i2i02000-2000000000000
χ252222-2-2-222-22-2-2-222-22222222-2-2-2-20000000000000000002-200000000000000
χ262222-2-2-222-22-2-2-222-222222-2-222-2-2000000000000000000-2200000000000000
χ272222-2-2-222-22-2-2-222-22-2-2-2-222-2-222000000000000000000-2200000000000000
χ282222-2-2-222-22-2-2-222-22-2-2-2-2-2-222220000000000000000002-200000000000000
χ292-2-222-222-2-22-2-222-22-22i2i−2i−2i00002i−2i00002i−2i2i−2i000000000000000000002-20000
χ302-2-222-222-2-22-2-222-22-22i2i−2i−2i00002i−2i0000−2i2i−2i2i00000000000000000000-220000
χ312-2-222-222-2-22-2-222-22-2−2i−2i2i2i0000−2i2i00002i−2i2i−2i00000000000000000000-220000
χ322-2-222-222-2-22-2-222-22-2−2i−2i2i2i0000−2i2i0000−2i2i−2i2i000000000000000000002-20000
χ332-2-222-222-2-2-222-2-22-2200002-22-200000000002i−2i2i−2i0000000000002i−2i00000000
χ342-2-222-222-2-2-222-2-22-2200002-22-20000000000−2i2i−2i2i000000000000−2i2i00000000
χ352-2-222-222-2-2-222-2-22-220000-22-2200000000002i−2i2i−2i000000000000−2i2i00000000
χ362-2-222-222-2-2-222-2-22-220000-22-220000000000−2i2i−2i2i0000000000002i−2i00000000
χ372-2-222-2-2-222-22-2-22-222000000000000002-2-222-2-22000000000000000000002-2
χ382-2-222-2-2-222-22-2-22-222000000000000002-2-22-222-200000000000000000000-22
χ392-2-222-2-2-222-22-2-22-22200000000000000-222-22-2-2200000000000000000000-22
χ402-2-222-2-2-222-22-2-22-22200000000000000-222-2-222-2000000000000000000002-2
χ412-2-22-222-22-222-2-2-222-200000000002i−2i2i−2i000000002i−2i2i−2i000000000000002-200
χ422-2-22-222-22-222-2-2-222-200000000002i−2i2i−2i00000000−2i2i−2i2i00000000000000-2200
χ432-2-22-222-22-222-2-2-222-20000000000−2i2i−2i2i000000002i−2i2i−2i00000000000000-2200
χ442-2-22-222-22-222-2-2-222-20000000000−2i2i−2i2i00000000−2i2i−2i2i000000000000002-200
χ452-2-22-22-22-22222-22-2-2-22i2i−2i−2i0000−2i2i2-2-2200000000000000000000002i−2i000000
χ462-2-22-22-22-22222-22-2-2-22i2i−2i−2i0000−2i2i-222-20000000000000000000000−2i2i000000
χ472-2-22-22-22-22222-22-2-2-2−2i−2i2i2i00002i−2i2-2-220000000000000000000000−2i2i000000
χ482-2-22-22-22-22222-22-2-2-2−2i−2i2i2i00002i−2i-222-200000000000000000000002i−2i000000
χ492-2-22-22-22-22-2-2-22-222200002-2-22000000000000002-2-220000002-20000000000
χ502-2-22-22-22-22-2-2-22-222200002-2-2200000000000000-222-2000000-220000000000
χ512-2-22-22-22-22-2-2-22-22220000-222-2000000000000002-2-22000000-220000000000
χ522-2-22-22-22-22-2-2-22-22220000-222-200000000000000-222-20000002-20000000000
χ534444444444-4-4-4-4-4-4-4-400000000000000000000000000000000000000000000
χ544444-4-44-4-444-44-4-4-44400000000000000000000000000000000000000000000
χ554444-4-44-4-44-44-4444-4-400000000000000000000000000000000000000000000
χ564444-4-4-444-4-4444-4-44-400000000000000000000000000000000000000000000
χ574-4-444-4-4-4444-444-44-4-400000000000000000000000000000000000000000000
χ584-4-44-444-44-4-4-4444-4-4400000000000000000000000000000000000000000000
χ5988-8-8000000000000004i−4i4i−4i0000000000000000000000000000000000000000
χ6088-8-800000000000000−4i4i−4i4i0000000000000000000000000000000000000000
χ618-88-8000000000000004-4-440000000000000000000000000000000000000000
χ628-88-800000000000000-444-40000000000000000000000000000000000000000

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