Finite Group Databasebeta

← Group #280379

Character table — Group #280379

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444442222448888222244444488888888888888224444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111111111-1-1-1-11111-1-1-1-1111-111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11111-1-1-1-111111111111111-1-1-11-1-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-11111-1-111-1
χ71111111111111111111111-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-11
χ91111111111111111-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11
χ101111111111111111-1-1-1-111111111-1-1-1-11111111111-1-1-1-11111-1-11-1-1-1-1-1-1-11111-1
χ111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-11111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1111
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-111111111-1-1-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111111111-11-1-111-1-111-1-1-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1111
χ17222222222-2-22-2-2220000-2-2222222000022-2-2-2-200000000000000-2000000000000
χ18222222222-2-22-2-2220000-2-22222-2-20000-2-222-2-2000000000000002000000000000
χ19222222222-2-22-2-2220000-2-2-2-2-2-2220000-2-2222200000000000000-2000000000000
χ20222222222-2-22-2-2220000-2-2-2-2-2-2-2-2000022-2-222000000000000002000000000000
χ2122222222-222-222-2-22222-2-200000022-2-200000022-2-200000000000-200000000000
χ2222222222-222-222-2-22222-2-2000000-2-2-2-2000000-2-22200000000000200000000000
χ2322222222-222-222-2-2-2-2-2-2-2-20000002222000000-2-22200000000000-200000000000
χ2422222222-222-222-2-2-2-2-2-2-2-2000000-2-22200000022-2-200000000000200000000000
χ2522-222-2-2-202-202-20022-2-200i2i2−i2−i2002-2000000i2−i22-200i2i2−i2−i2i2i2−i2−i200000000i2−i200000
χ2622-222-2-2-202-202-20022-2-200i2i2−i2−i200-22000000i2−i2-2200i2i2−i2−i2−i2−i2i2i200000000−i2i200000
χ2722-222-2-2-202-202-20022-2-200−i2−i2i2i2002-2000000−i2i22-200−i2−i2i2i2−i2−i2i2i200000000−i2i200000
χ2822-222-2-2-202-202-20022-2-200−i2−i2i2i200-22000000−i2i2-2200−i2−i2i2i2i2i2−i2−i200000000i2−i200000
χ2922-222-2-2-202-202-200-2-22200i2i2−i2−i2002-2000000i2−i2-2200−i2−i2i2i2−i2−i2i2i200000000i2−i200000
χ3022-222-2-2-202-202-200-2-22200i2i2−i2−i200-22000000i2−i22-200−i2−i2i2i2i2i2−i2−i200000000−i2i200000
χ3122-222-2-2-202-202-200-2-22200−i2−i2i2i2002-2000000−i2i2-2200i2i2−i2−i2i2i2−i2−i200000000−i2i200000
χ3222-222-2-2-202-202-200-2-22200−i2−i2i2i200-22000000−i2i22-200i2i2−i2−i2−i2−i2i2i200000000i2−i200000
χ332-222-22-2-2222-2-2-22-22-22-2-22000000002-22i−2i2i−2i0000000000000000002i−2i000000000
χ342-222-22-2-2222-2-2-22-22-22-2-22000000002-2−2i2i−2i2i000000000000000000−2i2i000000000
χ352-222-22-2-2222-2-2-22-2-22-22-2200000000-222i−2i2i−2i000000000000000000−2i2i000000000
χ362-222-22-2-2222-2-2-22-2-22-22-2200000000-22−2i2i−2i2i0000000000000000002i−2i000000000
χ372-222-22-2-22-2-2-2222-200002-200000000002i−2i−2i2i0000002i−2i2i−2i00002-20000000000000
χ382-222-22-2-22-2-2-2222-200002-200000000002i−2i−2i2i000000−2i2i−2i2i0000-220000000000000
χ392-222-22-2-22-2-2-2222-200002-20000000000−2i2i2i−2i0000002i−2i2i−2i0000-220000000000000
χ402-222-22-2-22-2-2-2222-200002-20000000000−2i2i2i−2i000000−2i2i−2i2i00002-20000000000000
χ412-222-22-2-2-2222-2-2-222-22-22-200000000-220000000000000000000000002i−2i00002i−2i0
χ422-222-22-2-2-2222-2-2-222-22-22-200000000-22000000000000000000000000−2i2i0000−2i2i0
χ432-222-22-2-2-2222-2-2-22-22-222-2000000002-20000000000000000000000002i−2i0000−2i2i0
χ442-222-22-2-2-2222-2-2-22-22-222-2000000002-2000000000000000000000000−2i2i00002i−2i0
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-4-44-4000000000000002i2−2i22i2−2i2000000000000002i2−2i200002-22-2000000000000000
χ47444-4-4-44-4000000000000002i2−2i22i2−2i200000000000000−2i22i20000-22-22000000000000000
χ48444-4-4-44-400000000000000−2i22i2−2i22i2000000000000002i2−2i20000-22-22000000000000000
χ49444-4-4-44-400000000000000−2i22i2−2i22i200000000000000−2i22i200002-22-2000000000000000
χ5044-444-4-4-40-440-44000000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ5144-444-4-4-40-440-4400000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ5244-4-4-44-44400400-4-40000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ5344-4-4-44-44400400-4-4000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ5444-4-4-44-44-400-400440000004-4-44000000000000000000000000000000000000000
χ5544-4-4-44-44-400-40044000000-444-4000000000000000000000000000000000000000
χ564-444-44-4-4-4-4-4444-440000-440000000000000000000000000000000000000000000
χ574-4-44-4-44404-40-44004-4-44000000000000000000000000000000000000000000000
χ584-4-44-4-44404-40-4400-444-4000000000000000000000000000000000000000000000
χ594-4-44-4-4440-4404-4000000000000000000000000000022−22−22220000000000000000000
χ604-4-44-4-4440-4404-40000000000000000000000000000−222222−220000000000000000000
χ614-4-4-4444-4400-400-440000000000000000000000000000000000000000000022−22000
χ624-4-4-4444-4400-400-4400000000000000000000000000000000000000000000−2222000
χ634-4-4-4444-4-4004004-400000000004-40000000000000000000000000000000000000
χ644-4-4-4444-4-4004004-40000000000-440000000000000000000000000000000000000
χ658-88-88-8-88000000000000000000000000000000000000000000000000000000000

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