Finite Group Databasebeta

← Group #280215

Character table — Group #280215

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888244444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111111111-1-1-1-11111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-11-1-1-1-111-1
χ411111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-1-11111-1-11
χ51111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1
χ61111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-111-1-1111
χ71111111111111111111111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-11111-1
χ911111111111111111-1-1-1-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11-1-1-1-1111
χ1011111111111111111-1-1-1-11111111-1-1-1-11111111111-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1
χ1111111111111111111-1-1-1-111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1111111-1-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-11111-1-1111-1-1-1-1-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1-111111
χ1511111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111111-1-1-1-1111-1-111-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11-1-11111-111-1-111-1
χ17222222222-222-2-2-22-20000-22222220000-2-222-2-2000000000000-200000000000000
χ18222222222-222-2-2-22-20000-22222-2-2000022-2-2-2-2000000000000200000000000000
χ19222222222-222-2-2-22-20000-2-2-2-2-2220000-2-2-2-222000000000000200000000000000
χ20222222222-222-2-2-22-20000-2-2-2-2-2-2-20000222222000000000000-200000000000000
χ2122222222-22-2-2222-2-22222-200000022-2-2000000-2-222000000000000000-20000000
χ2222222222-22-2-2222-2-22222-2000000-2-2-2-200000022-2-200000000000000020000000
χ2322222222-22-2-2222-2-2-2-2-2-2-2000000222200000022-2-2000000000000000-20000000
χ2422222222-22-2-2222-2-2-2-2-2-2-2000000-2-222000000-2-22200000000000000020000000
χ252-22-22-2-2222-2-2-22-2222i2i−2i−2i-2000000002i−2i0000000000000000000002-2000002i−2i000
χ262-22-22-2-2222-2-2-22-2222i2i−2i−2i-2000000002i−2i000000000000000000000-2200000−2i2i000
χ272-22-22-2-2222-2-2-22-222−2i−2i2i2i-200000000−2i2i0000000000000000000002-200000−2i2i000
χ282-22-22-2-2222-2-2-22-222−2i−2i2i2i-200000000−2i2i000000000000000000000-22000002i−2i000
χ292-22-22-2-22-2222-22-2-2-22i2i−2i−2i200002-200−2i2i2-20000000000000000000002i−2i00000000
χ302-22-22-2-22-2222-22-2-2-22i2i−2i−2i20000-2200−2i2i-22000000000000000000000−2i2i00000000
χ312-22-22-2-22-2222-22-2-2-2−2i−2i2i2i200002-2002i−2i2-2000000000000000000000−2i2i00000000
χ322-22-22-2-22-2222-22-2-2-2−2i−2i2i2i20000-22002i−2i-220000000000000000000002i−2i00000000
χ332-22-22-2-22-2-2222-22-220000-200002-20000-22000000002i2i−2i−2i000002i−2i000000000000
χ342-22-22-2-22-2-2222-22-220000-200002-20000-2200000000−2i−2i2i2i00000−2i2i000000000000
χ352-22-22-2-22-2-2222-22-220000-20000-2200002-2000000002i2i−2i−2i00000−2i2i000000000000
χ362-22-22-2-22-2-2222-22-220000-20000-2200002-200000000−2i−2i2i2i000002i−2i000000000000
χ372-2-22-22-2202002-2-2002-22-2022−2−2002i−2i0000002−2002i−2i2−22−2i2i2−i2−i2000000000000i2−i20
χ382-2-22-22-2202002-2-2002-22-2022−2−200−2i2i0000002−200−2i2i2−22−2−i2−i2i2i2000000000000−i2i20
χ392-2-22-22-2202002-2-2002-22-20−2−222002i−2i000000−22002i−2i−22−22−i2−i2i2i2000000000000−i2i20
χ402-2-22-22-2202002-2-2002-22-20−2−22200−2i2i000000−2200−2i2i−22−22i2i2−i2−i2000000000000i2−i20
χ412-2-22-22-2202002-2-200-22-22022−2−2002i−2i0000002−200−2i2i−22−22−i2−i2i2i2000000000000i2−i20
χ422-2-22-22-2202002-2-200-22-22022−2−200−2i2i0000002−2002i−2i−22−22i2i2−i2−i2000000000000−i2i20
χ432-2-22-22-2202002-2-200-22-220−2−222002i−2i000000−2200−2i2i2−22−2i2i2−i2−i2000000000000−i2i20
χ442-2-22-22-2202002-2-200-22-220−2−22200−2i2i000000−22002i−2i2−22−2−i2−i2i2i2000000000000i2−i20
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ4644-444-4-4-4404-4000-400000000000000000000000000000022−2222−22000000000000000
χ4744-444-4-4-4404-4000-4000000000000000000000000000000−2222−2222000000000000000
χ4844-444-4-4-4-40-4400040000004i−4i4i−4i000000000000000000000000000000000000000
χ4944-444-4-4-4-40-440004000000−4i4i−4i4i000000000000000000000000000000000000000
χ5044-4-4-4-4440400-4-44004i−4i−4i4i00000000000000000000000000000000000000000000
χ5144-4-4-4-4440400-4-4400−4i4i4i−4i00000000000000000000000000000000000000000000
χ5244-4-4-4-4440-40044-40000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ5344-4-4-4-4440-40044-4000000000000000000000000000−2i22i22i2−2i20000000000000000000
χ544-444-4-44-4000000000000002i2−2i2−2i22i200000000000022−220000002i−2i−2i2i000000000000000
χ554-444-4-44-4000000000000002i2−2i2−2i22i2000000000000−2222000000−2i2i2i−2i000000000000000
χ564-444-4-44-400000000000000−2i22i22i2−2i200000000000022−22000000−2i2i2i−2i000000000000000
χ574-444-4-44-400000000000000−2i22i22i2−2i2000000000000−22220000002i−2i−2i2i000000000000000
χ584-44-44-4-444-4-4-44-444-4000040000000000000000000000000000000000000000000
χ594-4-44-44-440-400-44400000002222−22−220000000000−2222000000000000000000000000000
χ604-4-44-44-440-400-4440000000−22−222222000000000022−22000000000000000000000000000
χ614-4-4-4444-440-44000-40000000000000000004i−4i00000000000000000000000000000
χ624-4-4-4444-440-44000-4000000000000000000−4i4i00000000000000000000000000000
χ634-4-4-4444-4-404-4000400000000000000000000000000000000000000000022−2200000
χ644-4-4-4444-4-404-40004000000000000000000000000000000000000000000−222200000
χ65888-8-88-8-8000000000000000000000000000000000000000000000000000000000

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