Finite Group Databasebeta

← Group #98239

Character table — Group #98239

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222222244444444448888888888888888888888888881616161616161616161616161616
order12222222444444444444444444444422444444444888888888888888844444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111-1-1-1-111111-1-1-1-111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111
χ7111111111111111111111-1-1-1-111111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ8111111111111111111111-1-1-1-111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1
χ9111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-111-1-1ii−i−iii−i−i
χ10111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-111-1-1−i−iii−i−iii
χ11111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1111-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii-11-1-111ii−i−i−i−iii
χ12111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1111-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−i-11-1-111−i−iiiii−i−i
χ13111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1111-1-111iiii−i−i−i−iiiii−i−i−i−i1-1-1-111−i−iii−i−iii
χ14111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1111-1-111−i−i−i−iiiii−i−i−i−iiiii1-1-1-111ii−i−iii−i−i
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11-1-11111iiii−i−i−i−i−i−i−i−iiiii-1111-1-1−i−iiiii−i−i
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1111-1-1ii−i−i−i−iii
χ17222222222222222-2-2-22-222222-2-2-22-222-2-2-20000-2-2000000000000000000000000000000
χ18222222222222222-2-2-22-22-2-2-2-2-2-2-22-2-2-222-2000022000000000000000000000000000000
χ19222222222222-2-2-2222-22-22222-2-22-22-2-2-2-2-2000022000000000000000000000000000000
χ20222222222222-2-2-2222-22-2-2-2-2-2-2-22-222222-20000-2-2000000000000000000000000000000
χ2122222222-2-2-2-222222222-2000022-2-2-20000-22222000000000000000000-2-2000000000000
χ2222222222-2-2-2-222222222-2000022-2-2-20000-2-2-2-2-200000000000000000022000000000000
χ2322222222-2-2-2-2222-2-2-22-2-20000-2-22-22000020000000000000000000000002-22-200000000
χ2422222222-2-2-2-2222-2-2-22-2-20000-2-22-2200002000000000000000000000000-22-2200000000
χ2522222222-2-2-2-2-2-2-2222-2220000-2-2-22-2000020000000000000000000000002-2-2200000000
χ2622222222-2-2-2-2-2-2-2222-2220000-2-2-22-200002000000000000000000000000-222-200000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-220000222220000-222-2-2000000000000000000-22000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-220000222220000-2-2-2220000000000000000002-2000000000000
χ292222-2-2-2-222-2-222-2000-20222-2-2000-202-20000000000000000022−2−222−2−200000000002−22−2
χ302222-2-2-2-222-2-222-2000-20222-2-2000-202-200000000000000000−2−222−2−2220000000000−22−22
χ312222-2-2-2-222-2-222-2000-202-2-222000-20-220000000000000000022−2−222−2−20000000000−22−22
χ322222-2-2-2-222-2-222-2000-202-2-222000-20-2200000000000000000−2−222−2−22200000000002−22−2
χ332222-2-2-2-222-2-2-2-2200020-222-2-200020-2200000000000000000i2i2−i2−i2−i2−i2i2i20000000000i2−i2−i2i2
χ342222-2-2-2-222-2-2-2-2200020-222-2-200020-2200000000000000000−i2−i2i2i2i2i2−i2−i20000000000−i2i2i2−i2
χ352222-2-2-2-222-2-2-2-2200020-2-2-222000202-200000000000000000i2i2−i2−i2−i2−i2i2i20000000000−i2i2i2−i2
χ362222-2-2-2-222-2-2-2-2200020-2-2-222000202-200000000000000000−i2−i2i2i2i2i2−i2−i20000000000i2−i2−i2i2
χ3722-2-22-2-222-22-200022-20-202i−2i2i−2i00-2020000000002i−2ii2i2−i2−i2i2i2−i2−i2000000000000002−22−20000
χ3822-2-22-2-222-22-200022-20-202i−2i2i−2i00-2020000000002i−2i−i2−i2i2i2−i2−i2i2i200000000000000−22−220000
χ3922-2-22-2-222-22-200022-20-20−2i2i−2i2i00-202000000000−2i2ii2i2−i2−i2i2i2−i2−i200000000000000−22−220000
χ4022-2-22-2-222-22-200022-20-20−2i2i−2i2i00-202000000000−2i2i−i2−i2i2i2−i2−i2i2i2000000000000002−22−20000
χ4122-2-22-2-222-22-2000-2-220202i−2i2i−2i0020-2000000000−2i2i22−2−2−2−22200000000000000−i2i2i2−i20000
χ4222-2-22-2-222-22-2000-2-220202i−2i2i−2i0020-2000000000−2i2i−2−22222−2−200000000000000i2−i2−i2i20000
χ4322-2-22-2-222-22-2000-2-22020−2i2i−2i2i0020-20000000002i−2i22−2−2−2−22200000000000000i2−i2−i2i20000
χ4422-2-22-2-222-22-2000-2-22020−2i2i−2i2i0020-20000000002i−2i−2−22222−2−200000000000000−i2i2i2−i20000
χ452-2-222-22-200002-222-2-2-22000002-2000000002i−2i2i−2i00i2−i2i2−i2i2−i2i2−i22−22−22−22−200000000000000
χ462-2-222-22-200002-222-2-2-22000002-2000000002i−2i2i−2i00−i2i2−i2i2−i2i2−i2i2−22−22−22−2200000000000000
χ472-2-222-22-200002-222-2-2-22000002-200000000−2i2i−2i2i00i2−i2i2−i2i2−i2i2−i2−22−22−22−2200000000000000
χ482-2-222-22-200002-222-2-2-22000002-200000000−2i2i−2i2i00−i2i2−i2i2−i2i2−i2i22−22−22−22−200000000000000
χ492-2-222-22-20000-22-2-2222-2000002-2000000002i−2i−2i2i002−22−2−22−22−i2i2−i2i2i2−i2i2−i200000000000000
χ502-2-222-22-20000-22-2-2222-2000002-2000000002i−2i−2i2i00−22−222−22−2i2−i2i2−i2−i2i2−i2i200000000000000
χ512-2-222-22-20000-22-2-2222-2000002-200000000−2i2i2i−2i002−22−2−22−22i2−i2i2−i2−i2i2−i2i200000000000000
χ522-2-222-22-20000-22-2-2222-2000002-200000000−2i2i2i−2i00−22−222−22−2−i2i2−i2i2i2−i2i2−i200000000000000
χ534444-4-4-4-4-4-44444-4000-40-400000004000000000000000000000000000000000000000000
χ544444-4-4-4-4-4-444-4-440004040000000-4000000000000000000000000000000000000000000
χ5544-4-44-4-44-44-4400044-40-4000000040-400000000000000000000000000000000000000000
χ5644-4-44-4-44-44-44000-4-44040000000-40400000000000000000000000000000000000000000
χ5744-4-4-444-44-4-440000000004i−4i−4i4i0000000000000000000000000000000000000000000000
χ5844-4-4-444-44-4-44000000000−4i4i4i−4i0000000000000000000000000000000000000000000000
χ5944-4-4-444-4-444-4000000000000000000004i−4i0000000000000000000000000000000000000
χ6044-4-4-444-4-444-400000000000000000000−4i4i0000000000000000000000000000000000000
χ614-44-444-4-400000004-440-40000000000000000000002-2-222-2-220000000000000000000000
χ624-44-444-4-400000004-440-4000000000000000000000-222-2-222-20000000000000000000000
χ634-44-444-4-40000000-44-4040000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000
χ644-44-444-4-40000000-44-404000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000
χ654-4-444-44-400004-44-444-4-400000-4400000000000000000000000000000000000000000000
χ664-4-444-44-40000-44-44-4-44400000-4400000000000000000000000000000000000000000000
χ674-4-44-44-4400004-4-400040000000000000000000000000000002-2-222-2-2200000000000000
χ684-4-44-44-4400004-4-40004000000000000000000000000000000-222-2-222-200000000000000
χ694-4-44-44-440000-444000-40000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000
χ704-4-44-44-440000-444000-4000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000
χ718-88-8-8-888000000000000000000000000000000000000000000000000000000000000000

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