Finite Group Databasebeta

← Group #279869

Character table — Group #279869

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444444488888888888888888888888816161616161616161616161632
order12222222444444444444444444888888882222224488888888888888884444444488884
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111-1-11111-1-1111111-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-111111
χ5111111111111111111111-1-1-1-1111111111-1-1-1-111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-111-1
χ6111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11
χ7111111111111111111111-1-1-1-11-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-11
χ8111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-111111-1-111-1
χ911111111111111111-1-1-1-111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-1-111-1-1-1
χ1011111111111111111-1-1-1-1111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-1111
χ1111111111111111111-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1111
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-111-11111-1-1-1
χ1311111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11111-111-1-1-1-11
χ1411111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111111-1-1-11111-1
χ1511111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-11111111-1
χ1611111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111111-1-11-1-1-1-1-1-11
χ17222222222-222-2-2-22-200002222-222220000-2-2220000-2-20000000000000000000-20000000
χ18222222222-222-2-2-22-200002222-2-2-2-2-20000-2-2-2-2000022000000000000000000020000000
χ19222222222-222-2-2-22-20000-2-2-2-2-22222000022-2-20000-2-2000000000000000000020000000
χ20222222222-222-2-2-22-20000-2-2-2-2-2-2-2-2-2000022220000220000000000000000000-20000000
χ2122222222-22-2-2222-2-222220000-200002222000022-2-200-2-2000000000000-2000000000000
χ2222222222-22-2-2222-2-222220000-20000-2-2-2-20000-2-2-2-200220000000000002000000000000
χ2322222222-22-2-2222-2-2-2-2-2-20000-2000022220000-2-22200-2-20000000000002000000000000
χ2422222222-22-2-2222-2-2-2-2-2-20000-20000-2-2-2-2000022220022000000000000-2000000000000
χ2522-2-2-22-2202002-2-2002i2i−2i−2i0000022−2−22i2i−2i−2i00002-2002−2000000i2i2−i2−i2i2i2−i2−i200000000002−20
χ2622-2-2-22-2202002-2-2002i2i−2i−2i0000022−2−2−2i−2i2i2i0000-22002−2000000i2i2−i2−i2−i2−i2i2i20000000000−220
χ2722-2-2-22-2202002-2-2002i2i−2i−2i00000−2−2222i2i−2i−2i00002-200−22000000−i2−i2i2i2−i2−i2i2i20000000000−220
χ2822-2-2-22-2202002-2-2002i2i−2i−2i00000−2−222−2i−2i2i2i0000-2200−22000000−i2−i2i2i2i2i2−i2−i200000000002−20
χ2922-2-2-22-2202002-2-200−2i−2i2i2i0000022−2−22i2i−2i−2i0000-22002−2000000−i2−i2i2i2i2i2−i2−i20000000000−220
χ3022-2-2-22-2202002-2-200−2i−2i2i2i0000022−2−2−2i−2i2i2i00002-2002−2000000−i2−i2i2i2−i2−i2i2i200000000002−20
χ3122-2-2-22-2202002-2-200−2i−2i2i2i00000−2−2222i2i−2i−2i0000-2200−22000000i2i2−i2−i2−i2−i2i2i200000000002−20
χ3222-2-2-22-2202002-2-200−2i−2i2i2i00000−2−222−2i−2i2i2i00002-200−22000000i2i2−i2−i2i2i2−i2−i20000000000−220
χ332-222-2-2-2222-2-2-22-2222i−2i2i−2i0000-2000000000000002i−2i00002i2i−2i−2i000000000000002-200000
χ342-222-2-2-2222-2-2-22-2222i−2i2i−2i0000-2000000000000002i−2i0000−2i−2i2i2i00000000000000-2200000
χ352-222-2-2-2222-2-2-22-222−2i2i−2i2i0000-200000000000000−2i2i00002i2i−2i−2i00000000000000-2200000
χ362-222-2-2-2222-2-2-22-222−2i2i−2i2i0000-200000000000000−2i2i0000−2i−2i2i2i000000000000002-200000
χ372-222-2-2-22-2222-22-2-2-22i−2i2i−2i22-2-22000000002-20000−2i2i000000000000000002i−2i0000000000
χ382-222-2-2-22-2222-22-2-2-22i−2i2i−2i-2-222200000000-220000−2i2i00000000000000000−2i2i0000000000
χ392-222-2-2-22-2222-22-2-2-2−2i2i−2i2i22-2-22000000002-200002i−2i00000000000000000−2i2i0000000000
χ402-222-2-2-22-2222-22-2-2-2−2i2i−2i2i-2-222200000000-2200002i−2i000000000000000002i−2i0000000000
χ412-222-2-2-22-2-2222-22-22000022-2-2-200000000-22000000000000002i−2i2i−2i00000002i−2i00000000
χ422-222-2-2-22-2-2222-22-22000022-2-2-200000000-2200000000000000−2i2i−2i2i0000000−2i2i00000000
χ432-222-2-2-22-2-2222-22-220000-2-222-2000000002-2000000000000002i−2i2i−2i0000000−2i2i00000000
χ442-222-2-2-22-2-2222-22-220000-2-222-2000000002-200000000000000−2i2i−2i2i00000002i−2i00000000
χ452-2-22-222-2202-2000-2000002i−2i2i−2i02i−2i2i−2i2−22−2002-20000002−2i2−i2i2−i20000i2−i2i2−i2000000002−2000
χ462-2-22-222-2202-2000-2000002i−2i2i−2i02i−2i2i−2i−22−22002-2000000−22−i2i2−i2i20000−i2i2−i2i200000000−22000
χ472-2-22-222-2202-2000-2000002i−2i2i−2i0−2i2i−2i2i2−22−200-220000002−2i2−i2i2−i20000−i2i2−i2i200000000−22000
χ482-2-22-222-2202-2000-2000002i−2i2i−2i0−2i2i−2i2i−22−2200-22000000−22−i2i2−i2i20000i2−i2i2−i2000000002−2000
χ492-2-22-222-2202-2000-200000−2i2i−2i2i02i−2i2i−2i2−22−200-220000002−2−i2i2−i2i20000i2−i2i2−i200000000−22000
χ502-2-22-222-2202-2000-200000−2i2i−2i2i02i−2i2i−2i−22−2200-22000000−22i2−i2i2−i20000−i2i2−i2i2000000002−2000
χ512-2-22-222-2202-2000-200000−2i2i−2i2i0−2i2i−2i2i2−22−2002-20000002−2−i2i2−i2i20000−i2i2−i2i2000000002−2000
χ522-2-22-222-2202-2000-200000−2i2i−2i2i0−2i2i−2i2i−22−22002-2000000−22i2−i2i2−i20000i2−i2i2−i200000000−22000
χ5344444444-4-4-4-4-4-4-4-44000000004000000000000000000000000000000000000000000000
χ5444-444-4-4-440-44000-400000000000000000000000000000022−22−2222000000000000000000000
χ5544-444-4-4-440-44000-4000000000000000000000000000000−222222−22000000000000000000000
χ5644-444-4-4-4-404-40004000004i−4i−4i4i0000000000000000000000000000000000000000000000
χ5744-444-4-4-4-404-4000400000−4i4i4i−4i0000000000000000000000000000000000000000000000
χ5844-4-4-44-440-400-444000000000002222−22−22000000000000−2222000000000000000000000000000
χ5944-4-4-44-440-400-44400000000000−22−22222200000000000022−22000000000000000000000000000
χ604-444-4-4-444-4-4-44-444-4000000004000000000000000000000000000000000000000000000
χ614-44-444-4-40000000000000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000-222-20000000000000
χ624-44-444-4-40000000000000000002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000002-2-220000000000000
χ634-44-444-4-4000000000000000000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000002-2-220000000000000
χ644-44-444-4-4000000000000000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000-222-20000000000000
χ654-4-44-444-4-40-4400040000000000000022−2222−220000000000−22220000000000000000000000000
χ664-4-44-444-4-40-44000400000000000000−2222−2222000000000022−220000000000000000000000000
χ674-4-4-44-4440400-4-44004-4-4400000000000000000000000000000000000000000000000000
χ684-4-4-44-4440400-4-4400-444-400000000000000000000000000000000000000000000000000
χ694-4-4-44-4440-40044-40000000000000000000000000000000000022−22−222200000000000000000
χ704-4-4-44-4440-40044-400000000000000000000000000000000000−222222−2200000000000000000
χ71888-8-8-88-8000000000000000000000000000000000000000000000000000000000000000

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