Finite Group Databasebeta

← Group #281376

Character table — Group #281376

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444444444444444488888888161616161616161616161616161616163232
order12222222444444444488888888888888888888888844444444244444448888888844
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-111-1-1-11-1-11-1-1-1-1-11111-1-1
χ3111111111111111111111111111111111111111111-1-11111-1-11-1-1-1-1-1-111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-111
χ511111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-1-111-1-1-1-111-1-1-11
χ611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1111111-1-11-1
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111-11-1-1-1-1-1-1111-1
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-11111-1-111-11
χ9111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1111111-111-1-1-1-1-1-1-1-1
χ10111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-11-1-111-1-111-1-1-1-111
χ11111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111
χ12111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-11-1-1111111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-111-1-1-11-1-1-111-1-1111-1
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11-1-1-1111111-1-1-1-111-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1111-1-1-1-11111-1-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1111-1-111-1-11-1
χ17222222222-222-2-2-22-2-22222-2-2-2-200000000000000000022-2-2002000000-20000000000
χ18222222222-222-2-2-22-2-22222-2-2-2-2000000000000000000-2-22200-200000020000000000
χ19222222222-222-2-2-22-2-2-2-2-2-2222200000000000000000022-2-200-200000020000000000
χ20222222222-222-2-2-22-2-2-2-2-2-22222000000000000000000-2-222002000000-20000000000
χ2122222222-22-2-2222-2-2-2000000002222-2-2-2-200000000220000-2-2000200-200000000000
χ2222222222-22-2-2222-2-2-2000000002222-2-2-2-200000000-2-2000022000-200200000000000
χ2322222222-22-2-2222-2-2-200000000-2-2-2-222220000000022000022000-200-200000000000
χ2422222222-22-2-2222-2-2-200000000-2-2-2-2222200000000-2-20000-2-2000200200000000000
χ2522-2-22-2-2222-2-2-22-22-2200000000000000002222-2-2-2-2002i−2i2i−2i0000000000002i−2i000000
χ2622-2-22-2-2222-2-2-22-22-2200000000000000002222-2-2-2-200−2i2i−2i2i000000000000−2i2i000000
χ2722-2-22-2-2222-2-2-22-22-220000000000000000-2-2-2-22222002i−2i2i−2i000000000000−2i2i000000
χ2822-2-22-2-2222-2-2-22-22-220000000000000000-2-2-2-2222200−2i2i−2i2i0000000000002i−2i000000
χ2922-2-22-2-222-2-2-22-2222-20000000022-2-222-2-200000000002i−2i−2i2i00000000002i−2i00000000
χ3022-2-22-2-222-2-2-22-2222-20000000022-2-222-2-20000000000−2i2i2i−2i0000000000−2i2i00000000
χ3122-2-22-2-222-2-2-22-2222-200000000-2-222-2-22200000000002i−2i−2i2i0000000000−2i2i00000000
χ3222-2-22-2-222-2-2-22-2222-200000000-2-222-2-2220000000000−2i2i2i−2i00000000002i−2i00000000
χ3322-2-22-2-22-2-2222-22-2-220000000022-2-2-2-222000000000000000002i−2i02i−2i000000000000
χ3422-2-22-2-22-2-2222-22-2-220000000022-2-2-2-22200000000000000000−2i2i0−2i2i000000000000
χ3522-2-22-2-22-2-2222-22-2-2200000000-2-22222-2-2000000000000000002i−2i0−2i2i000000000000
χ3622-2-22-2-22-2-2222-22-2-2200000000-2-22222-2-200000000000000000−2i2i02i−2i000000000000
χ372-222-2-2-220-20022-2000i2i2−i2−i2i2i2−i2−i200002i−2i2i−2i22−2−222−2−22i−2i00002-20000000000002−2i2−i200
χ382-222-2-2-220-20022-2000i2i2−i2−i2i2i2−i2−i200002i−2i2i−2i22−2−222−2−2−2i2i0000-22000000000000−22−i2i200
χ392-222-2-2-220-20022-2000i2i2−i2−i2i2i2−i2−i20000−2i2i−2i2i−2−222−2−2222i−2i0000-220000000000002−2−i2i200
χ402-222-2-2-220-20022-2000i2i2−i2−i2i2i2−i2−i20000−2i2i−2i2i−2−222−2−222−2i2i00002-2000000000000−22i2−i200
χ412-222-2-2-220-20022-2000−i2−i2i2i2−i2−i2i2i200002i−2i2i−2i−2−222−2−2222i−2i00002-2000000000000−22−i2i200
χ422-222-2-2-220-20022-2000−i2−i2i2i2−i2−i2i2i200002i−2i2i−2i−2−222−2−222−2i2i0000-220000000000002−2i2−i200
χ432-222-2-2-220-20022-2000−i2−i2i2i2−i2−i2i2i20000−2i2i−2i2i22−2−222−2−22i−2i0000-22000000000000−22i2−i200
χ442-222-2-2-220-20022-2000−i2−i2i2i2−i2−i2i2i20000−2i2i−2i2i22−2−222−2−2−2i2i00002-20000000000002−2−i2i200
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000000
χ46444-4-44-4-4404-4000-40000004-44-4000000000000000000000000000000000000000000
χ47444-4-44-4-4404-4000-4000000-44-44000000000000000000000000000000000000000000
χ48444-4-44-4-4-40-4400040000000000000000002i2−2i22i2−2i22i2−2i22i2−2i200000000000000000000000000
χ49444-4-44-4-4-40-440004000000000000000000−2i22i2−2i22i2−2i22i2−2i22i200000000000000000000000000
χ5044-44-4-44-440-44000-4004-44-40000000000000000000000000000000000000000000000
χ5144-44-4-44-440-44000-400-44-440000000000000000000000000000000000000000000000
χ5244-44-4-44-4-404-400040000000000000000002i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000
χ5344-44-4-44-4-404-40004000000000000000000−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000
χ5444-4-44-4-44-4444-44-4-44-400000000000000000000000000000000000000000000000000
χ554-444-4-4-440400-4-440002i22i2−2i2−2i2−2i2−2i22i22i2000000000000000000000000000000000000000000
χ564-444-4-4-440400-4-44000−2i2−2i22i22i22i22i2−2i2−2i2000000000000000000000000000000000000000000
χ574-44-44-44-4000000000000002i2−2i2−2i22i222−2222−2200002i−2i−2i2i2i−2i−2i2i00000000000000000000000000
χ584-44-44-44-4000000000000002i2−2i2−2i22i2−2222−22220000−2i2i2i−2i−2i2i2i−2i00000000000000000000000000
χ594-44-44-44-400000000000000−2i22i22i2−2i222−2222−220000−2i2i2i−2i−2i2i2i−2i00000000000000000000000000
χ604-44-44-44-400000000000000−2i22i22i2−2i2−2222−222200002i−2i−2i2i2i−2i−2i2i00000000000000000000000000
χ614-4-4444-4-400000000002i2−2i2−2i22i2000022−22−222200002i−2i−2i2i−2i2i2i−2i00000000000000000000000000
χ624-4-4444-4-400000000002i2−2i2−2i22i20000−222222−220000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000
χ634-4-4444-4-40000000000−2i22i22i2−2i2000022−22−22220000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000
χ644-4-4444-4-40000000000−2i22i22i2−2i20000−222222−2200002i−2i−2i2i−2i2i2i−2i00000000000000000000000000
χ654-4-4-4-444404004-4-40000000000000004i−4i−4i4i0000000000000000000000000000000000
χ664-4-4-4-444404004-4-4000000000000000−4i4i4i−4i0000000000000000000000000000000000
χ674-4-4-4-44440-400-44400000000000000000002222−22−22−22−22222200000000000000000000000000
χ684-4-4-4-44440-400-4440000000000000000000−22−2222222222−22−2200000000000000000000000000

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