Finite Group Databasebeta

← Group #10709916

Character table — Group #10709916

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222222222244444444444444444444444444444444444444121212121212121212121212121212123232323232329696
order122234444446668888888888888888121212121212242424242424242424242424242424242424242424242424161616161616161616161616161616162466121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-11-1
χ61111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-11
χ71111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1111-1
χ922222222222222-2-2-2-2-2-2-2-22222-2-2-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000
χ1022222222222222-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000
χ112222222-2-2-2-222200000000000022-2-222-2-2-2-200000000000000002222-2-2-2-22222−2−2−2−22222−2−2−2−200000000
χ122222222-2-2-2-222200000000000022-2-222-2-2-2-200000000000000002222-2-2-2-2−2−2−2−22222−2−2−2−2222200000000
χ132222222-2-2-2-2222000000000000-2-22222-2-2-2-20000000000000000-2-2-2-222222222−2−2−2−2−2−2−2−2222200000000
χ142222222-2-2-2-2222000000000000-2-22222-2-2-2-20000000000000000-2-2-2-22222−2−2−2−222222222−2−2−2−200000000
χ1522222-2-222-2-22220000000022-2-20000-2-222-2-2000000002222-2-2-2-20000000022−2−222−2−222−2−222−2−200000000
χ1622222-2-222-2-22220000000022-2-20000-2-222-2-2000000002222-2-2-2-200000000−2−222−2−222−2−222−2−22200000000
χ1722222-2-222-2-222200000000-2-2220000-2-222-2-200000000-2-2-2-222220000000022−2−222−2−2−2−222−2−22200000000
χ1822222-2-222-2-222200000000-2-2220000-2-222-2-200000000-2-2-2-2222200000000−2−222−2−22222−2−222−2−200000000
χ1922222-2-2-2-2222222222-2-2-2-200000000-2-2-2-2222222-2-2-2-200000000000000000000000022-2-2-2-22200000000
χ2022222-2-2-2-2222222222-2-2-2-200000000-2-2-2-2222222-2-2-2-2000000000000000000000000-2-22222-2-200000000
χ2122222-2-2-2-222222-2-2-2-2222200000000-2-2-2-222-2-2-2-22222000000000000000022-2-2-2-2220000000000000000
χ2222222-2-2-2-222222-2-2-2-2222200000000-2-2-2-222-2-2-2-222220000000000000000-2-22222-2-20000000000000000
χ232222-1222222-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022-1-1-1-100
χ242222-1222222-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2111100
χ252222-1222222-1-1-122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000002-2-1-11100
χ262222-1222222-1-1-122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000-2211-1-100
χ272222-1222222-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111000000000000000000−i3i3−i3i300
χ282222-1222222-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111000000000000000000i3−i3i3−i300
χ292222-1222222-1-1-1-2-2-2-2-2-2-2-2-2-2-2-22222-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1000000000000000000−i3i3i3−i300
χ302222-1222222-1-1-1-2-2-2-2-2-2-2-2-2-2-2-22222-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1000000000000000000i3−i3−i3i300
χ312-2-22200002-2-2-22000022-2-22−22−22−22−200002-2000022-2-222−2−222−2−222−2−222−2−2002-22-2002−22−22−22−200000000
χ322-2-22200002-2-2-22000022-2-22−22−22−22−200002-2000022-2-222−2−222−2−222−2−222−2−200-22-2200−22−22−22−2200000000
χ332-2-22200002-2-2-22000022-2-2−22−22−22−2200002-2000022-2-2−2−222−2−222−2−222−2−222002-22-200−22−22−22−2200000000
χ342-2-22200002-2-2-22000022-2-2−22−22−22−2200002-2000022-2-2−2−222−2−222−2−222−2−22200-22-22002−22−22−22−200000000
χ352-2-22200002-2-2-220000-2-2222−22−2−22−2200002-20000-2-22222−2−222−2−2−2−222−2−2222-200002-22−2−22−222−200000000
χ362-2-22200002-2-2-220000-2-2222−22−2−22−2200002-20000-2-22222−2−222−2−2−2−222−2−222-220000-22−222−22−2−2200000000
χ372-2-22200002-2-2-220000-2-222−22−222−22−200002-20000-2-222−2−222−2−22222−2−222−2−22-200002-2−222−22−2−2200000000
χ382-2-22200002-2-2-220000-2-222−22−222−22−200002-20000-2-222−2−222−2−22222−2−222−2−2-220000-222−2−22−222−200000000
χ392-2-2220000-22-2-2222-2-200002−2−222−2−220000-2222-2-2000022−2−2−2−22222−2−2−2−2222−22−2−22−22002-2-220000000000
χ402-2-2220000-22-2-2222-2-200002−2−222−2−220000-2222-2-2000022−2−2−2−22222−2−2−2−222−22−222−22−200-222-20000000000
χ412-2-2220000-22-2-2222-2-20000−222−2−222−20000-2222-2-20000−2−22222−2−2−2−22222−2−22−22−2−22−2200-222-20000000000
χ422-2-2220000-22-2-2222-2-20000−222−2−222−20000-2222-2-20000−2−22222−2−2−2−22222−2−2−22−222−22−2002-2-220000000000
χ432-2-2220000-22-2-22-2-22200002−2−22−222−20000-22-2-222000022−2−2−2−222−2−22222−2−22−2−222−2−222-20000-2200000000
χ442-2-2220000-22-2-22-2-22200002−2−22−222−20000-22-2-222000022−2−2−2−222−2−22222−2−2−222−2−222−2-2200002-200000000
χ452-2-2220000-22-2-22-2-2220000−222−22−2−220000-22-2-2220000−2−22222−2−222−2−2−2−2222−2−222−2−22-2200002-200000000
χ462-2-2220000-22-2-22-2-2220000−222−22−2−220000-22-2-2220000−2−22222−2−222−2−2−2−222−222−2−222−22-20000-2200000000
χ474444-244-4-4-4-4-2-2-200000000000044-4-4-2-222220000000000000000-2-2-2-22222000000000000000000000000
χ484444-244-4-4-4-4-2-2-2000000000000-4-444-2-2222200000000000000002222-2-2-2-2000000000000000000000000
χ494444-2-4-444-4-4-2-2-20000000044-4-4000022-2-22200000000-2-2-2-2222200000000000000000000000000000000
χ504444-2-4-444-4-4-2-2-200000000-4-444000022-2-222000000002222-2-2-2-200000000000000000000000000000000
χ514444-2-4-4-4-444-2-2-24444-4-4-4-4000000002222-2-2-2-2-2-222220000000000000000000000000000000000000000
χ524444-2-4-4-4-444-2-2-2-4-4-4-44444000000002222-2-22222-2-2-2-20000000000000000000000000000000000000000
χ5344-4-44004-4004-4-422−2222−2222−2222−2200000000004-40022−2222−2222−2222−220000000000000000000000000000000000000000
χ5444-4-44004-4004-4-4−2222−2222−2222−222200000000004-400−2222−2222−2222−22220000000000000000000000000000000000000000
χ5544-4-4400-44004-4-422−2222−22−2222−22220000000000-440022−2222−22−2222−22220000000000000000000000000000000000000000
χ5644-4-4400-44004-4-4−2222−222222−2222−220000000000-4400−2222−222222−2222−220000000000000000000000000000000000000000
χ5744-4-4-2004-400-22222−2222−2222−2222−220000000000-2200−22−22−22−22000023−2323−236−66−66−66−6000000000000000000000000
χ5844-4-4-2004-400-22222−2222−2222−2222−220000000000-2200−22−22−22−220000−2323−2323−66−66−66−66000000000000000000000000
χ5944-4-4-2004-400-222−2222−2222−2222−22220000000000-22002−22−22−22−2000023−2323−23−66−66−66−66000000000000000000000000
χ6044-4-4-2004-400-222−2222−2222−2222−22220000000000-22002−22−22−22−20000−2323−23236−66−66−66−6000000000000000000000000
χ6144-4-4-200-4400-22222−2222−22−2222−222200000000002-200−22−222−22−223−2323−2300006−66−6−66−66000000000000000000000000
χ6244-4-4-200-4400-22222−2222−22−2222−222200000000002-200−22−222−22−2−2323−23230000−66−666−66−6000000000000000000000000
χ6344-4-4-200-4400-222−2222−222222−2222−2200000000002-2002−22−2−22−2223−2323−230000−66−666−66−6000000000000000000000000
χ6444-4-4-200-4400-222−2222−222222−2222−2200000000002-2002−22−2−22−22−2323−232300006−66−6−66−66000000000000000000000000
χ654-44-444-40000-44-422−22−222222−22−2222000000004-4000022−22−222222−22−22220000000000000000000000000000000000000000
χ664-44-444-40000-44-4−222222−22−222222−22000000004-40000−222222−22−222222−220000000000000000000000000000000000000000
χ674-44-44-440000-44-422−22−2222−222222−2200000000-44000022−22−2222−222222−220000000000000000000000000000000000000000
χ684-44-44-440000-44-4−222222−2222−22−222200000000-440000−222222−2222−22−22220000000000000000000000000000000000000000
χ694-44-4-24-400002-2222−22−222222−22−222200000000-220000−222−2−222−26−6−666−6−66000023−23−2323000000000000000000000000
χ704-44-4-24-400002-2222−22−222222−22−222200000000-220000−222−2−222−2−666−6−666−60000−232323−23000000000000000000000000
χ714-44-4-24-400002-22−222222−22−222222−2200000000-2200002−2−222−2−226−6−666−6−660000−232323−23000000000000000000000000
χ724-44-4-24-400002-22−222222−22−222222−2200000000-2200002−2−222−2−22−666−6−666−6000023−23−2323000000000000000000000000
χ734-44-4-2-4400002-2222−22−2222−222222−22000000002-20000−222−22−2−226−6−66−666−623−23−23230000000000000000000000000000
χ744-44-4-2-4400002-2222−22−2222−222222−22000000002-20000−222−22−2−22−666−66−6−66−232323−230000000000000000000000000000
χ754-44-4-2-4400002-22−222222−2222−22−2222000000002-200002−2−22−222−26−6−66−666−6−232323−230000000000000000000000000000
χ764-44-4-2-4400002-22−222222−2222−22−2222000000002-200002−2−22−222−2−666−66−6−6623−23−23230000000000000000000000000000
χ774-4-44-200004-422-2000044-4-422−2222−2222−2222−220000-220000-2-222−2−222−2−222−2−222−2−222000000000000000000000000
χ784-4-44-200004-422-2000044-4-4−2222−2222−2222−22220000-220000-2-22222−2−222−2−222−2−222−2−2000000000000000000000000
χ794-4-44-200004-422-20000-4-44422−2222−22−2222−22220000-22000022-2-2−2−222−2−22222−2−222−2−2000000000000000000000000
χ804-4-44-200004-422-20000-4-444−2222−222222−2222−220000-22000022-2-222−2−222−2−2−2−222−2−222000000000000000000000000
χ814-4-44-20000-4422-244-4-4000022−22−222222−22−222200002-2-2-2220000−2−22222−2−2−2−22222−2−2000000000000000000000000
χ824-4-44-20000-4422-244-4-40000−222222−22−222222−2200002-2-2-222000022−2−2−2−22222−2−2−2−222000000000000000000000000
χ834-4-44-20000-4422-2-4-444000022−22−2222−222222−2200002-222-2-20000−2−22222−2−222−2−2−2−222000000000000000000000000
χ844-4-44-20000-4422-2-4-4440000−222222−2222−22−222200002-222-2-2000022−2−2−2−222−2−22222−2−2000000000000000000000000

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