Finite Group Databasebeta

← Group #11782590

Character table — Group #11782590

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222244444444444444446666666666666666888888121212121212121212121212121212121616161616161616161818181818181818484848484848144
order1222334444446666663666121212121212121212121212888888888888888812121212121224242424242424242424242424242424266666666888888882266662
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-111-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-11-1-111-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-11
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1
χ922222222-2-2-2-2222222222222-2-2-2-2-2-222-2-2000000002222-2-2-2-222-2-2-2-2000000002222-2-2-2-2000000000000000000000000
χ1022222222-2-2-2-2222222222222-2-2-2-2-2-222-2-200000000-2-2-2-2222222-2-2-2-200000000-2-2-2-22222000000000000000000000000
χ11222222-2-222-2-22222222222-2-222-2-2-2-2-2-2222222-2-2-2-200000000-2-222-2-22222-2-2-2-200000000000000000000000000000000
χ12222222-2-222-2-22222222222-2-222-2-2-2-2-2-222-2-2-2-2222200000000-2-222-2-2-2-2-2-2222200000000000000000000000000000000
χ13222222-2-2-2-2222222222222-2-2-2-22222-2-2-2-20000000000000000-2-2-2-22200000000000000000000000002222-2-2-2-20000000
χ14222222-2-2-2-2222222222222-2-2-2-22222-2-2-2-20000000000000000-2-2-2-2220000000000000000000000000-2-2-2-222220000000
χ1522222-1222222222-1-1-1-1-1-1-122-1-122-1-1-1-1220000000022222222-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1222-1-1-1-1-1-1000000000200-1-10
χ1622222-1222222222-1-1-1-1-1-1-122-1-122-1-1-1-1220000000022222222-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-2-2-2111111000000000-200110
χ1722222-1222222222-1-1-1-1-1-1-122-1-122-1-1-1-12200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-10000000011111111222-1-1-1-1-1-1000000000-200110
χ1822222-1222222222-1-1-1-1-1-1-122-1-122-1-1-1-12200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-10000000011111111-2-2-2111111000000000200-1-10
χ1922222-122-2-2-2-2222-1-1-1-1-1-1-12211-2-211-1-1-2-2000000002222-2-2-2-2-1-1111100000000-1-1-1-11111000−i3i3−i3−i3i3i3000000000000−i3i30
χ2022222-122-2-2-2-2222-1-1-1-1-1-1-12211-2-211-1-1-2-2000000002222-2-2-2-2-1-1111100000000-1-1-1-11111000i3−i3i3i3−i3−i3000000000000i3−i30
χ2122222-122-2-2-2-2222-1-1-1-1-1-1-12211-2-211-1-1-2-200000000-2-2-2-22222-1-11111000000001111-1-1-1-1000−i3i3−i3−i3i3i3000000000000i3−i30
χ2222222-122-2-2-2-2222-1-1-1-1-1-1-12211-2-211-1-1-2-200000000-2-2-2-22222-1-11111000000001111-1-1-1-1000i3−i3i3i3−i3−i3000000000000−i3i30
χ232222-12222222-1-1-1222-1-1-1-1-1-122-1-12222-1-12222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002-1-122-1-1-1-10000000020-1-1000
χ242222-12222222-1-1-1222-1-1-1-1-1-122-1-12222-1-12222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-211-2-2111100000000-2011000
χ252222-12222222-1-1-1222-1-1-1-1-1-122-1-12222-1-1-2-2-2-2-2-2-2-200000000-1-1-1-1-1-111111111000000002-1-122-1-1-1-100000000-2011000
χ262222-12222222-1-1-1222-1-1-1-1-1-122-1-12222-1-1-2-2-2-2-2-2-2-200000000-1-1-1-1-1-11111111100000000-211-2-211110000000020-1-1000
χ272222-12-2-222-2-2-1-1-1222-1-1-1-1112211-2-2-2-2-1-12222-2-2-2-20000000011-1-111-1-1-1-11111000000000−i3i300−i3i3−i3i30000000000−i3i3000
χ282222-12-2-222-2-2-1-1-1222-1-1-1-1112211-2-2-2-2-1-12222-2-2-2-20000000011-1-111-1-1-1-11111000000000i3−i300i3−i3i3−i30000000000i3−i3000
χ292222-12-2-222-2-2-1-1-1222-1-1-1-1112211-2-2-2-2-1-1-2-2-2-222220000000011-1-1111111-1-1-1-1000000000−i3i300−i3i3−i3i30000000000i3−i3000
χ302222-12-2-222-2-2-1-1-1222-1-1-1-1112211-2-2-2-2-1-1-2-2-2-222220000000011-1-1111111-1-1-1-1000000000i3−i300i3−i3i3−i30000000000−i3i3000
χ3122-2-22200002-22-2-22-2-222-2-200002-22-2000022−2−222−2−222−2−222−2−200002-222−2−222−2−222−2−222−2−2000000000000022-2-20000000
χ3222-2-22200002-22-2-22-2-222-2-200002-22-2000022−2−222−2−2−2−222−2−22200002-222−2−222−2−2−2−222−2−2220000000000000-2-2220000000
χ3322-2-22200002-22-2-22-2-222-2-200002-22-20000−2−222−2−22222−2−222−2−200002-2−2−222−2−22222−2−222−2−20000000000000-2-2220000000
χ3422-2-22200002-22-2-22-2-222-2-200002-22-20000−2−222−2−222−2−222−2−22200002-2−2−222−2−222−2−222−2−222000000000000022-2-20000000
χ3522-2-2220000-222-2-22-2-222-2-20000-22-22000022−2−2−2−22222−2−2−2−2220000-2222−2−2−2−22222−2−2−2−22200000000022-2-200000000000
χ3622-2-2220000-222-2-22-2-222-2-20000-22-22000022−2−2−2−222−2−22222−2−20000-2222−2−2−2−222−2−22222−2−2000000000-2-22200000000000
χ3722-2-2220000-222-2-22-2-222-2-20000-22-220000−2−22222−2−222−2−2−2−2220000-22−2−22222−2−222−2−2−2−222000000000-2-22200000000000
χ3822-2-2220000-222-2-22-2-222-2-20000-22-220000−2−22222−2−2−2−22222−2−20000-22−2−22222−2−2−2−22222−2−200000000022-2-200000000000
χ392-22-222002-200-22-2-22-22-22-2002-20000002-200002-22-22−22−22−22−2002-20000002-22-22−22−22−22−20000000002−22−22−22−20000000
χ402-22-222002-200-22-2-22-22-22-2002-20000002-200002-22-2−22−22−22−22002-20000002-22-2−22−22−22−22000000000−22−22−22−220000000
χ412-22-222002-200-22-2-22-22-22-2002-20000002-20000-22-222−22−22−22−2002-2000000-22-222−22−22−22−2000000000−22−22−22−220000000
χ422-22-222002-200-22-2-22-22-22-2002-20000002-20000-22-22−22−22−22−22002-2000000-22-22−22−22−22−220000000002−22−22−22−20000000
χ432-22-22200-2200-22-2-22-22-22-200-22000000-222-22-200002−22−2−22−2200-22002-22-200002−22−2−22−220000000002−22−2−22−220000000
χ442-22-22200-2200-22-2-22-22-22-200-22000000-222-22-20000−22−222−22−200-22002-22-20000−22−222−22−2000000000−22−222−22−20000000
χ452-22-22200-2200-22-2-22-22-22-200-22000000-22-22-2200002−22−2−22−2200-2200-22-2200002−22−2−22−22000000000−22−222−22−20000000
χ462-22-22200-2200-22-2-22-22-22-200-22000000-22-22-220000−22−222−22−200-2200-22-220000−22−222−22−20000000002−22−2−22−220000000
χ472-2-22222-20000-2-22-2-222-2-222-20000002-2002−2−222−2−2200002-2-222-200002−2−222−2−2200002-2-220000000002−2−222−2−220000000
χ482-2-22222-20000-2-22-2-222-2-222-20000002-2002−2−222−2−220000-222-22-200002−2−222−2−220000-222-2000000000−222−2−222−20000000
χ492-2-22222-20000-2-22-2-222-2-222-20000002-200−222−2−222−200002-2-222-20000−222−2−222−200002-2-22000000000−222−2−222−20000000
χ502-2-22222-20000-2-22-2-222-2-222-20000002-200−222−2−222−20000-222-22-20000−222−2−222−20000-222-20000000002−2−222−2−220000000
χ512-2-2222-220000-2-22-2-222-2-22-22000000-22002−2−22−222−22-2-220000-2200002−2−22−222−22-2-2200000000000002−2−22−222−20000000
χ522-2-2222-220000-2-22-2-222-2-22-22000000-22002−2−22−222−2-222-20000-2200002−2−22−222−2-222-20000000000000−222−22−2−220000000
χ532-2-2222-220000-2-22-2-222-2-22-22000000-2200−222−22−2−222-2-220000-220000−222−22−2−222-2-220000000000000−222−22−2−220000000
χ542-2-2222-220000-2-22-2-222-2-22-22000000-2200−222−22−2−22-222-20000-220000−222−22−2−22-222-200000000000002−2−22−222−20000000
χ5544444-2-4-444-4-4444-2-2-2-2-2-2-2-4-4-2-2-4-4222244000000000000000022-2-2220000000000000000000000000000000000000000
χ5644444-2-4-4-4-444444-2-2-2-2-2-2-2-4-42244-2-222-4-400000000000000002222-2-20000000000000000000000000000000000000000
χ574444-2444-4-4-4-4-2-2-2444-2-2-2-2-2-2-4-422-4-444220000000000000000-2-222220000000000000000000000000000000000000000
χ584444-24-4-4-4-444-2-2-2444-2-2-2-222-4-4-2-244-4-42200000000000000002222-2-20000000000000000000000000000000000000000
χ594444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-2000000000000000011111100000000000000004-2-2-2-21111000000000000000
χ604444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-200000000000000001111110000000000000000-42222-1-1-1-1000000000000000
χ614444-2-244-4-4-4-4-2-2-2-2-2-21111-2-2222222-2-222000000000000000011-1-1-1-10000000000000000000−2i32i3i3i3−i3−i3000000000000000
χ624444-2-244-4-4-4-4-2-2-2-2-2-21111-2-2222222-2-222000000000000000011-1-1-1-100000000000000000002i3−2i3−i3−i3i3i3000000000000000
χ634444-2-2-4-444-4-4-2-2-2-2-2-2111122-2-2222222-2-20000000000000000-1-111-1-100000000000000000−2i32i300i3−i3i3−i3000000000000000
χ644444-2-2-4-444-4-4-2-2-2-2-2-2111122-2-2222222-2-20000000000000000-1-111-1-1000000000000000002i3−2i300−i3i3−i3i3000000000000000
χ654444-2-2-4-4-4-444-2-2-2-2-2-211112222-2-2-2-222220000000000000000-1-1-1-1110000000000000000000003-3-33000000000000000
χ664444-2-2-4-4-4-444-2-2-2-2-2-211112222-2-2-2-222220000000000000000-1-1-1-111000000000000000000000-333-3000000000000000
χ6744-4-44-200004-44-4-4-222-2-22200004-4-220000000000002222−22−222222−22−220000-2200000000−2−222−2−222000000000000000000000000
χ6844-4-44-200004-44-4-4-222-2-22200004-4-22000000000000−22−222222−22−2222220000-220000000022−2−222−2−2000000000000000000000000
χ6944-4-44-20000-444-4-4-222-2-2220000-442-20000000000002222−22−22−22−22222200002-200000000−2−22222−2−2000000000000000000000000
χ7044-4-44-20000-444-4-4-222-2-2220000-442-2000000000000−22−2222222222−22−2200002-20000000022−2−2−2−222000000000000000000000000
χ7144-4-4-2400004-4-2224-4-4-2-2220000-224-400002222−22−222222−22−22000000000000-22−2−222−2−22200000000000000000000000000000000
χ7244-4-4-2400004-4-2224-4-4-2-2220000-224-40000−22−222222−22−222222000000000000-2222−2−222−2−200000000000000000000000000000000
χ7344-4-4-240000-44-2224-4-4-2-22200002-2-4400002222−22−22−22−2222220000000000002-2−2−22222−2−200000000000000000000000000000000
χ7444-4-4-240000-44-2224-4-4-2-22200002-2-440000−22−2222222222−22−220000000000002-222−2−2−2−22200000000000000000000000000000000
χ754-44-44-2004-400-44-42-22-22-2200-220000004-40000000022−2222−2222−2222−2200-220000000000−22−22−22−22000000000000000000000000
χ764-44-44-2004-400-44-42-22-22-2200-220000004-400000000−2222−2222−2222−222200-2200000000002−22−22−22−2000000000000000000000000
χ774-44-44-200-4400-44-42-22-22-22002-2000000-440000000022−2222−22−2222−2222002-20000000000−22−222−22−2000000000000000000000000
χ784-44-44-200-4400-44-42-22-22-22002-2000000-4400000000−2222−222222−2222−22002-200000000002−22−2−22−22000000000000000000000000
χ794-44-4-24004-4002-22-44-4-22-22004-4000000-2200004-44-40000000000-22000000-22-2200000000000000000000000000000000
χ804-44-4-24004-4002-22-44-4-22-22004-4000000-220000-44-440000000000-220000002-22-200000000000000000000000000000000
χ814-44-4-2400-44002-22-44-4-22-2200-440000002-24-44-4000000000000002-200-22-22000000000000000000000000000000000000
χ824-44-4-2400-44002-22-44-4-22-2200-440000002-2-44-44000000000000002-2002-22-2000000000000000000000000000000000000
χ834-4-444-24-40000-4-4422-2-222-24-4000000-22000000000000004-4-44-220000000000000000-222-2000000000000000000000000
χ844-4-444-24-40000-4-4422-2-222-24-4000000-2200000000000000-444-4-2200000000000000002-2-22000000000000000000000000
χ854-4-444-2-440000-4-4422-2-222-2-440000002-200000000004-4-4400002-2000000000000-222-20000000000000000000000000000
χ864-4-444-2-440000-4-4422-2-222-2-440000002-20000000000-444-400002-20000000000002-2-220000000000000000000000000000
χ874-4-44-244-4000022-2-4-44-222-2-220000004-40022−22−222222−22−222200000000-220000−222−2−222−200000000000000000000000000000000
χ884-4-44-244-4000022-2-4-44-222-2-220000004-400−222222−22−222222−2200000000-2200002−2−222−2−2200000000000000000000000000000000
χ894-4-44-24-44000022-2-4-44-222-22-2000000-440022−22−2222−222222−22000000002-20000−222−22−2−2200000000000000000000000000000000
χ904-4-44-24-44000022-2-4-44-222-22-2000000-4400−222222−2222−22−2222000000002-200002−2−22−222−200000000000000000000000000000000
χ9188-8-8-4-400008-8-444-44422-2-20000-44-440000000000000000000000002-20000000000000000000000000000000000000000
χ9288-8-8-4-40000-88-444-44422-2-200004-44-4000000000000000000000000-220000000000000000000000000000000000000000
χ938-88-8-4-4008-8004-444-442-22-200-44000000-440000000000000000002-2000000000000000000000000000000000000000000
χ948-88-8-4-400-88004-444-442-22-2004-40000004-4000000000000000000-22000000000000000000000000000000000000000000
χ958-8-88-4-48-8000044-444-42-2-22-44000000-440000000000000000002-200000000000000000000000000000000000000000000
χ968-8-88-4-4-88000044-444-42-2-224-40000004-4000000000000000000-2200000000000000000000000000000000000000000000

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