Finite Group Databasebeta

← Group #281160

Character table — Group #281160

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444488888888888888888888888888161616161616161616163232
order12222222444444444444448888888844444444448888888888888888444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-11-1
χ61111111111111111111111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-11
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-111-11
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-11-1-11111-1-11-1
χ91111111111111111-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111
χ101111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1
χ111111111111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ121111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111
χ131111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111-1-1-111-1-1111-1
χ141111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1111-1-111-1-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-11-1-1-11111-1-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1111-1-1-1-1111-1
χ17222222222-222-2-2-222222-2-200000000-2-222-2-2000022-2-2000000000000000000000000
χ18222222222-222-2-2-222222-2-200000000-2-2-2-2220000-2-222000000000000000000000000
χ19222222222-222-2-2-22-2-2-2-2-2-2000000002222-2-20000-2-222000000000000000000000000
χ20222222222-222-2-2-22-2-2-2-2-2-20000000022-2-222000022-2-2000000000000000000000000
χ2122222222-22-2-2222-20000-2-22222-2-2-2-200000022-2-20000000000000000-220000000000
χ2222222222-22-2-2222-20000-2-22222-2-2-2-2000000-2-22200000000000000002-20000000000
χ2322222222-22-2-2222-20000-2-2-2-2-2-2222200000022220000000000000000-2-20000000000
χ2422222222-22-2-2222-20000-2-2-2-2-2-22222000000-2-2-2-20000000000000000220000000000
χ25222-2-2-2-22-202-200022i2i−2i−2i0022−2−222−2−2002-20000002i−2i00i2i2−i2−i222−2−2i2i2−i2−i2000000000000
χ26222-2-2-2-22-202-200022i2i−2i−2i0022−2−222−2−200-22000000−2i2i00i2i2−i2−i2−2−222−i2−i2i2i2000000000000
χ27222-2-2-2-22-202-200022i2i−2i−2i00−2−222−2−222002-20000002i−2i00−i2−i2i2i2−2−222−i2−i2i2i2000000000000
χ28222-2-2-2-22-202-200022i2i−2i−2i00−2−222−2−22200-22000000−2i2i00−i2−i2i2i222−2−2i2i2−i2−i2000000000000
χ29222-2-2-2-22-202-20002−2i−2i2i2i0022−2−222−2−2002-2000000−2i2i00−i2−i2i2i222−2−2−i2−i2i2i2000000000000
χ30222-2-2-2-22-202-20002−2i−2i2i2i0022−2−222−2−200-220000002i−2i00−i2−i2i2i2−2−222i2i2−i2−i2000000000000
χ31222-2-2-2-22-202-20002−2i−2i2i2i00−2−222−2−222002-2000000−2i2i00i2i2−i2−i2−2−222i2i2−i2−i2000000000000
χ32222-2-2-2-22-202-20002−2i−2i2i2i00−2−222−2−22200-220000002i−2i00i2i2−i2−i222−2−2−i2−i2i2i2000000000000
χ332-222-22-2-2-20-2200022-22-2002−22−22−22−200002i−2i0000002i−2i2−22−2i2−i2i2−i2i2−i2i2−i2000000000000
χ342-222-22-2-2-20-2200022-22-2002−22−22−22−20000−2i2i000000−2i2i2−22−2−i2i2−i2i2−i2i2−i2i2000000000000
χ352-222-22-2-2-20-2200022-22-200−22−22−22−2200002i−2i0000002i−2i−22−22−i2i2−i2i2−i2i2−i2i2000000000000
χ362-222-22-2-2-20-2200022-22-200−22−22−22−220000−2i2i000000−2i2i−22−22i2−i2i2−i2i2−i2i2−i2000000000000
χ372-222-22-2-2-20-220002-22-22002−22−22−22−200002i−2i000000−2i2i−22−22i2−i2i2−i2−i2i2−i2i2000000000000
χ382-222-22-2-2-20-220002-22-22002−22−22−22−20000−2i2i0000002i−2i−22−22−i2i2−i2i2i2−i2i2−i2000000000000
χ392-222-22-2-2-20-220002-22-2200−22−22−22−2200002i−2i000000−2i2i2−22−2−i2i2−i2i2i2−i2i2−i2000000000000
χ402-222-22-2-2-20-220002-22-2200−22−22−22−220000−2i2i0000002i−2i2−22−2i2−i2i2−i2−i2i2−i2i2000000000000
χ412-22-22-22-222-2-2-22-222i−2i−2i2i-22000000002i−2i00000000000000002i−2i−2i2i-222-2000000000000
χ422-22-22-22-222-2-2-22-222i−2i−2i2i-22000000002i−2i0000000000000000−2i2i2i−2i2-2-22000000000000
χ432-22-22-22-222-2-2-22-22−2i2i2i−2i-2200000000−2i2i00000000000000002i−2i−2i2i2-2-22000000000000
χ442-22-22-22-222-2-2-22-22−2i2i2i−2i-2200000000−2i2i0000000000000000−2i2i2i−2i-222-2000000000000
χ452-22-22-22-22-2-2-22-2222i−2i−2i2i2-22-2-222-2-22−2i2i0000000000002i−2i−2i2i00000000000000000000
χ462-22-22-22-22-2-2-22-2222i−2i−2i2i2-2-222-2-222-2−2i2i000000000000−2i2i2i−2i00000000000000000000
χ472-22-22-22-22-2-2-22-222−2i2i2i−2i2-22-2-222-2-222i−2i000000000000−2i2i2i−2i00000000000000000000
χ482-22-22-22-22-2-2-22-222−2i2i2i−2i2-2-222-2-222-22i−2i0000000000002i−2i−2i2i00000000000000000000
χ492-22-22-22-2-2-2222-22-20000-222-2-22-222-200000000000000000000000000002i−2i2i−2i000000
χ502-22-22-22-2-2-2222-22-20000-222-2-22-222-20000000000000000000000000000−2i2i−2i2i000000
χ512-22-22-22-2-2-2222-22-20000-22-222-22-2-2200000000000000000000000000002i−2i−2i2i000000
χ522-22-22-22-2-2-2222-22-20000-22-222-22-2-220000000000000000000000000000−2i2i2i−2i000000
χ5344444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000000
χ54444-4-4-4-4440-44000-40000002222−22−22−22−22222200000000000000000000000000000000000000
χ55444-4-4-4-4440-44000-4000000−22−2222222222−22−2200000000000000000000000000000000000000
χ5644-4-444-4-404004-4-4000000000000000000000000000000000000000000000000022−2200
χ5744-4-444-4-404004-4-40000000000000000000000000000000000000000000000000−222200
χ5844-4-444-4-40-400-444000000000000000000000004i−4i0000000000000000000000000000
χ5944-4-444-4-40-400-44400000000000000000000000−4i4i0000000000000000000000000000
χ604-444-44-4-4404-4000-400000022−2222−22−2222−222200000000000000000000000000000000000000
χ614-444-44-4-4404-4000-4000000−2222−222222−2222−2200000000000000000000000000000000000000
χ624-44-44-44-4-4444-44-4-400004-40000000000000000000000000000000000000000000000
χ634-4-444-4-440400-4-440000000000000000000004i−4i000000000000000000000000000000
χ644-4-444-4-440400-4-44000000000000000000000−4i4i000000000000000000000000000000
χ654-4-444-4-440-40044-4000000000000000000000000000000000000000000000002i2−2i20000
χ664-4-444-4-440-40044-400000000000000000000000000000000000000000000000−2i22i20000
χ6788-88-8-88-8000000000000000000000000000000000000000000000000000000000000
χ688-8-8-8-8888000000000000000000000000000000000000000000000000000000000000

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