Finite Group Databasebeta

← Group #10909576

Character table — Group #10909576

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size111122222222224444444444448888888888888888888121216161616161616161616242424242424242424484848
order1222223444466666881212121224242424222466888881212242424242424884668121224242424222444448448
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-1-1-1-1-1-1-111111-1
χ41111111111111111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1111-111-1-1-1-1111111-1-1-1-1-11
χ511111111111111111111111111-1-11111111-1-11111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1111-1-11
χ611111111111111111111111111-1-11111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-111-1
χ711111111111111111111111111-1-1-1-1-1-11-1-111-1-111-1-1-1-111-1-1-11-1-11111-111-111111-1-1-1
χ811111111111111111111111111-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-11-1-111111-1-11-1-1-1-1-1111
χ91111111111111111-1-11111-1-1-1-1111111-1-1-1-1-111-1-1-1-1-1-111-1111-1-111-1-111-111-1-1-111-1-1
χ101111111111111111-1-11111-1-1-1-1111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-11-1-1111-1-111
χ111111111111111111-1-11111-1-1-1-111-1-1-1-1-11111-1-1-1-1111111-111-1-1-1-1-111-1-11-1-11-1-111-11
χ121111111111111111-1-11111-1-1-1-111-1-1-1-1-11111-1-1-1-11111-1-1-111-1-1-1-1-11111-111-111-1-11-1
χ131111111111111111-1-11111-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1111-1-1-111-1-1111-111-11-1-11-11-1
χ141111111111111111-1-11111-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-11-1-1-111-1-111-11-1-11-111-11-11
χ151111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1-111111-1-1-11-1-11-1-1-11-111
χ161111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11-1-111111-1-11-111-1111-11-1-1
χ17222222-12222-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-122222-1-1-1-1-1-1-1-1002-1-12-1-1-1-1-1-1000000000000
χ18222222-12222-1-1-1-1-122-1-1-1-1-1-1-1-122-2-2112-2-2-2-211-1-11111002-1-1-2-1-11111000000000000
χ19222222-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-2-222-1-1222-2-2-1-1-1-1-1-1-1-100-211-2111111000000000000
χ20222222-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2112-2-22211-1-1111100-211211-1-1-1-1000000000000
χ21222222-12222-1-1-1-1-1-2-2-1-1-1-111112222-1-1-2-2-2-2-2-1-111111100-2-1-1211-1-111000000000000
χ22222222-12222-1-1-1-1-1-2-2-1-1-1-1111122-2-211-222221111-1-1-1-100-2-1-1-21111-1-1000000000000
χ23222222-12222-1-1-1-1-1-2-2-1-1-1-11111-2-222-1-1-2-2-222-1-111111100211-2-1-111-1-1000000000000
χ24222222-12222-1-1-1-1-1-2-2-1-1-1-11111-2-2-2-211-222-2-21111-1-1-1-1002112-1-1-1-111000000000000
χ252222-2-222-2-22222-2-200-222-20000002-22200000-2-2000000220000000000200-20000-2000
χ262222-2-222-2-22222-2-200-222-20000002-22200000-2-2000000-2-20000000000-200200002000
χ272222-2-222-2-22222-2-200-222-2000000-22-2-20000022000000220000000000-20020000-2000
χ282222-2-222-2-22222-2-200-222-2000000-22-2-20000022000000-2-20000000000200-200002000
χ292222-2-22-222-2222-2-2222-2-222222000000-2000000-2-2000000000000000002-20-22000000
χ302222-2-22-222-2222-2-2222-2-222222000000-2000000-2-200000000000000000-2202-2000000
χ312222-2-22-222-2222-2-2-2-22-2-22-2-2-2-200000020000002200000000000000000220-2-2000000
χ322222-2-22-222-2222-2-2-2-22-2-22-2-2-2-200000020000002200000000000000000-2-2022000000
χ332-2-222-222-22-2-22-22-20022-2-200002-2000002i−2i2i−2i00002i2i−2i−2i0002-2000002i−2i000000000000
χ342-2-222-222-22-2-22-22-20022-2-200002-200000−2i2i−2i2i0000−2i−2i2i2i0002-200000−2i2i000000000000
χ352-2-222-222-22-2-22-22-20022-2-20000-22000002i−2i−2i2i00002i2i−2i−2i000-2200000−2i2i000000000000
χ362-2-222-222-22-2-22-22-20022-2-20000-2200000−2i2i2i−2i0000−2i−2i2i2i000-22000002i−2i000000000000
χ372-2-222-2-12-22-21-11-1100-1-11133−3−32-200−i3i302i−2i2i−2i−i3i33−3−i−iii000-1103−3−i3i3−ii000000000000
χ382-2-222-2-12-22-21-11-1100-1-11133−3−32-200i3−i30−2i2i−2i2ii3−i33−3ii−i−i000-1103−3i3−i3i−i000000000000
χ392-2-222-2-12-22-21-11-1100-1-11133−3−3-2200−i3i302i−2i−2i2i−i3i33−3−i−iii0001-10−33i3−i3i−i000000000000
χ402-2-222-2-12-22-21-11-1100-1-11133−3−3-2200i3−i30−2i2i2i−2ii3−i33−3ii−i−i0001-10−33−i3i3−ii000000000000
χ412-2-222-2-12-22-21-11-1100-1-111−3−3332-200−i3i30−2i2i−2i2i−i3i3−33ii−i−i000-110−33−i3i3i−i000000000000
χ422-2-222-2-12-22-21-11-1100-1-111−3−3332-200i3−i302i−2i2i−2ii3−i3−33−i−iii000-110−33i3−i3−ii000000000000
χ432-2-222-2-12-22-21-11-1100-1-111−3−333-2200−i3i30−2i2i2i−2i−i3i3−33ii−i−i0001-103−3i3−i3−ii000000000000
χ442-2-222-2-12-22-21-11-1100-1-111−3−333-2200i3−i302i−2i−2i2ii3−i3−33−i−iii0001-103−3−i3i3i−i000000000000
χ454444444-4-4-4-44444400-4-4-4-400000000000000000000000000000000000000000000000
χ46444444-2-4-4-4-4-2-2-2-2-2002222000000000000000000023−2323−23000000000000000000000000
χ47444444-2-4-4-4-4-2-2-2-2-20022220000000000000000000−2323−2323000000000000000000000000
χ484444-4-4-24-4-44-2-2-222002-2-220000004-4-2-20000022000000000000000000000000000000
χ494444-4-4-24-4-44-2-2-222002-2-22000000-442200000-2-2000000000000000000000000000000
χ504444-4-4-2-444-4-2-2-22244-222-2-2-2-2-2000000-4000000220000000000000000000000000000
χ514444-4-4-2-444-4-2-2-222-4-4-222-222220000004000000-2-20000000000000000000000000000
χ5244-4-400400004-4-400−2i22i20000−2i22i2−2i22i2000000000000000000022−2200000000000000002i−2i0000
χ5344-4-400400004-4-400−2i22i20000−2i22i2−2i22i20000000000000000000−22220000000000000000−2i2i0000
χ5444-4-400400004-4-4002i2−2i200002i2−2i22i2−2i2000000000000000000022−220000000000000000−2i2i0000
χ5544-4-400400004-4-4002i2−2i200002i2−2i22i2−2i20000000000000000000−222200000000000000002i−2i0000
χ564-4-444-44-44-44-44-44-400-4-44400000000000000000000000000000000000000000000000
χ574-4-444-4-2-44-442-22-220022-2-20000000000000000000−2i32i32i3−2i3000000000000000000000000
χ584-4-444-4-2-44-442-22-220022-2-200000000000000000002i3−2i3−2i32i3000000000000000000000000
χ594-4-44-44444-4-4-44-4-4400-44-4400000000000000000000000000000000000000000000000
χ604-4-44-444-4-444-44-4-44004-44-400000000000000000000000000000000000000000000000
χ614-4-44-44-244-4-42-222-2002-22-200000000−2i32i3000002i3−2i3000000000000000000000000000000
χ624-4-44-44-244-4-42-222-2002-22-2000000002i3−2i300000−2i32i3000000000000000000000000000000
χ634-4-44-44-2-4-4442-222-200-22-222323−23−230000000000000−23230000000000000000000000000000
χ644-4-44-44-2-4-4442-222-200-22-22−23−232323000000000000023−230000000000000000000000000000
χ6588-8-800-40000-44400−4i24i200002i2−2i22i2−2i20000000000000000000000000000000000000000000
χ6688-8-800-40000-444004i2−4i20000−2i22i2−2i22i20000000000000000000000000000000000000000000
χ678-88-80080000-8-880000000000000000000000000000000000000000000000000000000
χ688-88-800-4000044-4000000002i6−2i6−2i62i60000000000000000000000000000000000000000000
χ698-88-800-4000044-400000000−2i62i62i6−2i60000000000000000000000000000000000000000000

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