Finite Group Databasebeta

← Group #308271

Character table — Group #308271

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888224444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111
χ51111111111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-11-1-111-1-1-1
χ61111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111
χ71111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-11111-1-1-1
χ911111111111111111-1-1-1-111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11
χ1011111111111111111-1-1-1-111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11-1-1-11111-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-11111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111111111-1-1-11-1-1-1-111-1
χ1411111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-111111-111-1-111-1
χ17222222222-2-22-222-2-20000-2222222-2-2-2-20000000000-2-2000000000000200000000
χ18222222222-2-22-222-2-20000-22222-2-222220000000000-2-2000000000000-200000000
χ19222222222-2-22-222-2-20000-2-2-2-2-222-2-222000000000022000000000000-200000000
χ20222222222-2-22-222-2-20000-2-2-2-2-2-2-222-2-2000000000022000000000000200000000
χ2122222222-222-22-2-22-22222-20000000000-2-222-2-20000002200000000000-20000000
χ2222222222-222-22-2-22-22222-20000000000-2-2-2-222000000-2-20000000000020000000
χ2322222222-222-22-2-22-2-2-2-2-2-20000000000222222000000-2-200000000000-20000000
χ2422222222-222-22-2-22-2-2-2-2-2-2000000000022-2-2-2-2000000220000000000020000000
χ252222-2-2-2-2222-2-22-2-220000-200002-22-20000000022-2-2000000002-20000000000000
χ262222-2-2-2-2222-2-22-2-220000-200002-22-200000000-2-22200000000-220000000000000
χ272222-2-2-2-2222-2-22-2-220000-20000-22-220000000022-2-200000000-220000000000000
χ282222-2-2-2-2222-2-22-2-220000-20000-22-2200000000-2-222000000002-20000000000000
χ292222-2-2-2-22-2-2-222-22-22i2i−2i−2i200002-2-22002i−2i000000000000000000002i−2i000000000
χ302222-2-2-2-22-2-2-222-22-22i2i−2i−2i20000-222-2002i−2i00000000000000000000−2i2i000000000
χ312222-2-2-2-22-2-2-222-22-2−2i−2i2i2i200002-2-2200−2i2i00000000000000000000−2i2i000000000
χ322222-2-2-2-22-2-2-222-22-2−2i−2i2i2i20000-222-200−2i2i000000000000000000002i−2i000000000
χ332222-2-2-2-2-2-2-222-22222i2i−2i−2i-20000000000−2i2i0000000000000000002i−2i0000002-2000
χ342222-2-2-2-2-2-2-222-22222i2i−2i−2i-20000000000−2i2i000000000000000000−2i2i000000-22000
χ352222-2-2-2-2-2-2-222-2222−2i−2i2i2i-200000000002i−2i0000000000000000002i−2i000000-22000
χ362222-2-2-2-2-2-2-222-2222−2i−2i2i2i-200000000002i−2i000000000000000000−2i2i0000002-2000
χ372-2-222-2-2202-20200-202-22-2022−2−2000000002i−2i002−22−22−22i−2ii2i2−i2−i200000000i2−i200000
χ382-2-222-2-2202-20200-202-22-2022−2−200000000−2i2i002−22−22−2−2i2i−i2−i2i2i200000000−i2i200000
χ392-2-222-2-2202-20200-202-22-20−2−222000000002i−2i00−22−22−222i−2i−i2−i2i2i200000000−i2i200000
χ402-2-222-2-2202-20200-202-22-20−2−22200000000−2i2i00−22−22−22−2i2ii2i2−i2−i200000000i2−i200000
χ412-2-222-2-2202-20200-20-22-22022−2−2000000002i−2i00−22−222−2−2i2i−i2−i2i2i200000000i2−i200000
χ422-2-222-2-2202-20200-20-22-22022−2−200000000−2i2i00−22−222−22i−2ii2i2−i2−i200000000−i2i200000
χ432-2-222-2-2202-20200-20-22-220−2−222000000002i−2i002−22−2−22−2i2ii2i2−i2−i200000000−i2i200000
χ442-2-222-2-2202-20200-20-22-220−2−22200000000−2i2i002−22−2−222i−2i−i2−i2i2i200000000i2−i200000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ464444-4-4-4-4-4444-4-44-4-4000040000000000000000000000000000000000000000000
χ4744-4-444-4-4000000000000002i2−2i22i2−2i200000000002i2−2i2000000002-22-2000000000000000
χ4844-4-444-4-4000000000000002i2−2i22i2−2i20000000000−2i22i200000000-22-22000000000000000
χ4944-4-444-4-400000000000000−2i22i2−2i22i200000000002i2−2i200000000-22-22000000000000000
χ5044-4-444-4-400000000000000−2i22i2−2i22i20000000000−2i22i2000000002-22-2000000000000000
χ514-44-44-44-4400-40-4400000004i−4i−4i4i000000000000000000000000000000000000000
χ524-44-44-44-4400-40-440000000−4i4i4i−4i000000000000000000000000000000000000000
χ534-44-44-44-4-400404-400000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ544-44-44-44-4-400404-40000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ554-44-4-44-4440040-4-40000000000000004i−4i000000000000000000000000000000000
χ564-44-4-44-4440040-4-4000000000000000−4i4i000000000000000000000000000000000
χ574-44-4-44-44-400-40440000000000000000000000000000000000000000000000022−220
χ584-44-4-44-44-400-404400000000000000000000000000000000000000000000000−22220
χ594-4-444-4-440-440-40040000002222−22−220000000000000000−2222000000000000000000000
χ604-4-444-4-440-440-4004000000−22−222222000000000000000022−22000000000000000000000
χ614-4-44-444-404-40-4004000000000000000000000022−22−222200000000000000000000000
χ624-4-44-444-404-40-40040000000000000000000000−222222−2200000000000000000000000
χ634-4-44-444-40-440400-404i−4i−4i4i00000000000000000000000000000000000000000000
χ644-4-44-444-40-440400-40−4i4i4i−4i00000000000000000000000000000000000000000000
χ6588-8-8-8-888000000000000000000000000000000000000000000000000000000000

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