Finite Group Databasebeta

← Group #286398

Character table — Group #286398

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444442244444488884444488888888888888888844444488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-111-1-1
χ311111111111111111111111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ7111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111-111-111-1-1-1-111-1-1
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ91111111111111111-1-111-1-1-1-11111-1111111-1-1-1-111111111-1-1-1-1-111-1-1-111-1-1-1-1-11
χ101111111111111111-1-111-1-1-1-11111-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ111111111111111111-1-111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111111-1-1111-1
χ121111111111111111-1-111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-11
χ131111111111111111-1-111-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-11
χ141111111111111111-1-111-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-111-1-1-111-1-1111-1
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-11-1
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-111111-1-1-1-1-11
χ17222222222-2-222-2-2222-2-2-2-2220000-222-2-2000000000000000000200-20000000000
χ18222222222-2-222-2-2222-2-2-2-2220000-2-2-222000000000000000000-20020000000000
χ19222222222-2-222-2-22-2-2-2-222-2-20000222-2-2000000000000000000-20020000000000
χ20222222222-2-222-2-22-2-2-2-222-2-200002-2-222000000000000000000200-20000000000
χ2122222222-222-2-222-222-2-2-2-2-2-2222220000-2-222-2-200000000000000000000000000
χ2222222222-222-2-222-222-2-2-2-2-2-2-2-2-2-22000022-2-22200000000000000000000000000
χ2322222222-222-2-222-2-2-2-2-222222222-20000-2-2-2-22200000000000000000000000000
χ2422222222-222-2-222-2-2-2-2-22222-2-2-2-2-200002222-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222222-2-20000-200000000002i2i−2i−2i0000000000000000002i−2i00
χ2622222222-2-2-2-2-2-2-2-2222222-2-20000-20000000000−2i−2i2i2i000000000000000000−2i2i00
χ2722222222-2-2-2-2-2-2-2-2-2-222-2-2220000200000000002i2i−2i−2i000000000000000000−2i2i00
χ2822222222-2-2-2-2-2-2-2-2-2-222-2-222000020000000000−2i−2i2i2i0000000000000000002i−2i00
χ292-222-2-2-2202-2002-2000002i−2i2i−2i2i2i−2i−2i0000000002-2000022−2−2i2i2−i2−i2000000i2−i22−20000
χ302-222-2-2-2202-2002-2000002i−2i2i−2i2i2i−2i−2i0000000002-20000−2−222−i2−i2i2i2000000−i2i2−220000
χ312-222-2-2-2202-2002-2000002i−2i2i−2i−2i−2i2i2i000000000-22000022−2−2i2i2−i2−i2000000−i2i2−220000
χ322-222-2-2-2202-2002-2000002i−2i2i−2i−2i−2i2i2i000000000-220000−2−222−i2−i2i2i2000000i2−i22−20000
χ332-222-2-2-2202-2002-200000−2i2i−2i2i2i2i−2i−2i000000000-22000022−2−2−i2−i2i2i2000000i2−i2−220000
χ342-222-2-2-2202-2002-200000−2i2i−2i2i2i2i−2i−2i000000000-220000−2−222i2i2−i2−i2000000−i2i22−20000
χ352-222-2-2-2202-2002-200000−2i2i−2i2i−2i−2i2i2i0000000002-2000022−2−2−i2−i2i2i2000000−i2i22−20000
χ362-222-2-2-2202-2002-200000−2i2i−2i2i−2i−2i2i2i0000000002-20000−2−222i2i2−i2−i2000000i2−i2−220000
χ372-22-22-22-22-2-22-222-2002-200000000000000000002-22-200002i−2i2i−2i00002i−2i00000000
χ382-22-22-22-22-2-22-222-2002-200000000000000000002-22-20000−2i2i−2i2i0000−2i2i00000000
χ392-22-22-22-22-2-22-222-2002-20000000000000000000-22-2200002i−2i2i−2i0000−2i2i00000000
χ402-22-22-22-22-2-22-222-2002-20000000000000000000-22-220000−2i2i−2i2i00002i−2i00000000
χ412-22-22-22-2-222-22-2-22002-200000000000000000002i−2i−2i2i2-22-2000002i−2i00000000000
χ422-22-22-22-2-222-22-2-22002-200000000000000000002i−2i−2i2i-22-2200000−2i2i00000000000
χ432-22-22-22-2-222-22-2-22002-20000000000000000000−2i2i2i−2i2-22-200000−2i2i00000000000
χ442-22-22-22-2-222-22-2-22002-20000000000000000000−2i2i2i−2i-22-22000002i−2i00000000000
χ45444-4-44-4-404-400-44000000000000000000000000000022−22−2222000000000000000000
χ46444-4-44-4-404-400-440000000000000000000000000000−222222−22000000000000000000
χ47444-4-44-4-40-44004-40000000000000000000000000000000022−22−222200000000000000
χ48444-4-44-4-40-44004-400000000000000000000000000000000−222222−2200000000000000
χ4944-444-4-4-4000000004-400000022−2222−22000000022−220000000000000000000000000000
χ5044-444-4-4-4000000004-4000000−2222−22220000000−22220000000000000000000000000000
χ5144-444-4-4-400000000-4400000022−2222−220000000−22220000000000000000000000000000
χ5244-444-4-4-400000000-44000000−2222−2222000000022−220000000000000000000000000000
χ5344-4-4-4-444400-4400-400000000000004i−4i0000000000000000000000000000000000
χ5444-4-4-4-444400-4400-40000000000000−4i4i0000000000000000000000000000000000
χ5544-4-4-4-444-4004-40040000000000000004-400000000000000000000000000000000
χ5644-4-4-4-444-4004-4004000000000000000-4400000000000000000000000000000000
χ574-444-4-4-440-4400-44000004i−4i−4i4i00000000000000000000000000000000000000000
χ584-444-4-4-440-4400-4400000−4i4i4i−4i00000000000000000000000000000000000000000
χ594-44-44-44-44444-4-4-4-400-44000000000000000000000000000000000000000000000
χ604-44-44-44-4-4-4-4-4444400-44000000000000000000000000000000000000000000000
χ614-4-44-444-4400-4-4004000000002i2−2i2−2i22i2000002i2−2i2000000000000000000000000000000
χ624-4-44-444-4400-4-400400000000−2i22i22i2−2i200000−2i22i2000000000000000000000000000000
χ634-4-44-444-4-4004400-4000000002i2−2i2−2i22i200000−2i22i2000000000000000000000000000000
χ644-4-44-444-4-4004400-400000000−2i22i22i2−2i2000002i2−2i2000000000000000000000000000000
χ658-8-8-888-88000000000000000000000000000000000000000000000000000000000

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