Finite Group Databasebeta

← Group #11782427

Character table — Group #11782427

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222244444444444444446666666666666666888888121212121212121212121212121212121616161616161616161818181818181818484848484848144
order1222334444446666663666121212121212121212121212888888888888888812121212121224242424242424242424242424242424412121212121212128888888844121212122
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
χ922222222-2-2-2-22222222222-2-2-2-222-2-222-2-2000000002222-2-2-2-222-2-2-2-2000000002222-2-2-2-2000000000000000000000000
χ1022222222-2-2-2-22222222222-2-2-2-222-2-222-2-200000000-2-2-2-2222222-2-2-2-200000000-2-2-2-22222000000000000000000000000
χ11222222-2-222-2-22222222222-2-2-2-2-2-222-2-2222222-2-2-2-200000000-2-222-2-22222-2-2-2-200000000000000000000000000000000
χ12222222-2-222-2-22222222222-2-2-2-2-2-222-2-222-2-2-2-2222200000000-2-222-2-2-2-2-2-2222200000000000000000000000000000000
χ13222222-2-2-2-22222222222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-22200000000000000000000000002222-2-2-2-20000000
χ14222222-2-2-2-22222222222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2220000000000000000000000000-2-2-2-222220000000
χ1522222-12222222-12-12-1-1-1-1-122-1-122-1-1-1-1220000000022222222-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1222-1-1-1-1-1-1000000000200-1-10
χ1622222-12222222-12-12-1-1-1-1-122-1-122-1-1-1-1220000000022222222-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-2-2-2111111000000000-200110
χ1722222-12222222-12-12-1-1-1-1-122-1-122-1-1-1-12200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-10000000011111111222-1-1-1-1-1-1000000000-200110
χ1822222-12222222-12-12-1-1-1-1-122-1-122-1-1-1-12200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-10000000011111111-2-2-2111111000000000200-1-10
χ1922222-122-2-2-2-22-12-12-1-1-1-1-1-2-2112211-1-1-2-2000000002222-2-2-2-2-1-1111100000000-1-1-1-11111000−i3i3−i3−i3i3i3000000000000−i3i30
χ2022222-122-2-2-2-22-12-12-1-1-1-1-1-2-2112211-1-1-2-2000000002222-2-2-2-2-1-1111100000000-1-1-1-11111000i3−i3i3i3−i3−i3000000000000i3−i30
χ2122222-122-2-2-2-22-12-12-1-1-1-1-1-2-2112211-1-1-2-200000000-2-2-2-22222-1-11111000000001111-1-1-1-1000−i3i3−i3−i3i3i3000000000000i3−i30
χ2222222-122-2-2-2-22-12-12-1-1-1-1-1-2-2112211-1-1-2-200000000-2-2-2-22222-1-11111000000001111-1-1-1-1000i3−i3i3i3−i3−i3000000000000−i3i30
χ232222-12222222-12-12-12-1-1-1-1-1-122-1-12222-1-12222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002-1-122-1-1-1-10000000020-1-1000
χ242222-12222222-12-12-12-1-1-1-1-1-122-1-12222-1-12222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-211-2-2111100000000-2011000
χ252222-12222222-12-12-12-1-1-1-1-1-122-1-12222-1-1-2-2-2-2-2-2-2-200000000-1-1-1-1-1-111111111000000002-1-122-1-1-1-100000000-2011000
χ262222-12222222-12-12-12-1-1-1-1-1-122-1-12222-1-1-2-2-2-2-2-2-2-200000000-1-1-1-1-1-11111111100000000-211-2-211110000000020-1-1000
χ272222-12-2-222-2-2-12-12-12-1-1-1-111-2-21122-2-2-1-12222-2-2-2-20000000011-1-111-1-1-1-11111000000000−i3i300−i3i3−i3i30000000000−i3i3000
χ282222-12-2-222-2-2-12-12-12-1-1-1-111-2-21122-2-2-1-12222-2-2-2-20000000011-1-111-1-1-1-11111000000000i3−i300i3−i3i3−i30000000000i3−i3000
χ292222-12-2-222-2-2-12-12-12-1-1-1-111-2-21122-2-2-1-1-2-2-2-222220000000011-1-1111111-1-1-1-1000000000−i3i300−i3i3−i3i30000000000i3−i3000
χ302222-12-2-222-2-2-12-12-12-1-1-1-111-2-21122-2-2-1-1-2-2-2-222220000000011-1-1111111-1-1-1-1000000000i3−i300i3−i3i3−i30000000000−i3i3000
χ3122-2-22200002-2-2-222-2-22-2-222-22-200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200002-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000022-2-20000000
χ3222-2-22200002-2-2-222-2-22-2-222-22-200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200002-2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000000000000-2-2220000000
χ3322-2-22200002-2-2-222-2-22-2-222-22-200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200002-2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000000000-2-2220000000
χ3422-2-22200002-2-2-222-2-22-2-222-22-200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200002-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000022-2-20000000
χ3522-2-2220000-22-2-222-2-22-2-22-22-2200000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000-22−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200000000022-2-200000000000
χ3622-2-2220000-22-2-222-2-22-2-22-22-2200000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i20000-22−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000-2-22200000000000
χ3722-2-2220000-22-2-222-2-22-2-22-22-2200000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i20000-22i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000-2-22200000000000
χ3822-2-2220000-22-2-222-2-22-2-22-22-2200000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000-22i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200000000022-2-200000000000
χ392-22-222002-2002-2-2-2-2222-2-20000002-2002-200002-22-2−i2i2−i2i2−i2i2−i2i2002-20000002-22-2−i2i2−i2i2−i2i2−i2i2000000000−i2i2−i2i2−i2i2−i2i20000000
χ402-22-222002-2002-2-2-2-2222-2-20000002-2002-200002-22-2i2−i2i2−i2i2−i2i2−i2002-20000002-22-2i2−i2i2−i2i2−i2i2−i2000000000i2−i2i2−i2i2−i2i2−i20000000
χ412-22-222002-2002-2-2-2-2222-2-20000002-2002-20000-22-22−i2i2−i2i2−i2i2−i2i2002-2000000-22-22−i2i2−i2i2−i2i2−i2i2000000000i2−i2i2−i2i2−i2i2−i20000000
χ422-22-222002-2002-2-2-2-2222-2-20000002-2002-20000-22-22i2−i2i2−i2i2−i2i2−i2002-2000000-22-22i2−i2i2−i2i2−i2i2−i2000000000−i2i2−i2i2−i2i2−i2i20000000
χ432-22-22200-22002-2-2-2-2222-2-2000000-2200-222-22-20000−i2i2−i2i2i2−i2i2−i200-22002-22-20000−i2i2−i2i2i2−i2i2−i2000000000−i2i2−i2i2i2−i2i2−i20000000
χ442-22-22200-22002-2-2-2-2222-2-2000000-2200-222-22-20000i2−i2i2−i2−i2i2−i2i200-22002-22-20000i2−i2i2−i2−i2i2−i2i2000000000i2−i2i2−i2−i2i2−i2i20000000
χ452-22-22200-22002-2-2-2-2222-2-2000000-2200-22-22-220000−i2i2−i2i2i2−i2i2−i200-2200-22-220000−i2i2−i2i2i2−i2i2−i2000000000i2−i2i2−i2−i2i2−i2i20000000
χ462-22-22200-22002-2-2-2-2222-2-2000000-2200-22-22-220000i2−i2i2−i2−i2i2−i2i200-2200-22-220000i2−i2i2−i2−i2i2−i2i2000000000−i2i2−i2i2i2−i2i2−i20000000
χ472-2-22222-20000-22-2-22-22-22-200002-2002-200−i2i2i2−i2−i2i2i2−i200002-2-222-20000−i2i2i2−i2−i2i2i2−i200002-2-22000000000i2−i2−i2i2i2−i2−i2i20000000
χ482-2-22222-20000-22-2-22-22-22-200002-2002-200−i2i2i2−i2−i2i2i2−i20000-222-22-20000−i2i2i2−i2−i2i2i2−i20000-222-2000000000−i2i2i2−i2−i2i2i2−i20000000
χ492-2-22222-20000-22-2-22-22-22-200002-2002-200i2−i2−i2i2i2−i2−i2i200002-2-222-20000i2−i2−i2i2i2−i2−i2i200002-2-22000000000−i2i2i2−i2−i2i2i2−i20000000
χ502-2-22222-20000-22-2-22-22-22-200002-2002-200i2−i2−i2i2i2−i2−i2i20000-222-22-20000i2−i2−i2i2i2−i2−i2i20000-222-2000000000i2−i2−i2i2i2−i2−i2i20000000
χ512-2-2222-220000-22-2-22-22-22-20000-2200-2200−i2i2i2−i2i2−i2−i2i22-2-220000-220000−i2i2i2−i2i2−i2−i2i22-2-220000000000000i2−i2−i2i2−i2i2i2−i20000000
χ522-2-2222-220000-22-2-22-22-22-20000-2200-2200−i2i2i2−i2i2−i2−i2i2-222-20000-220000−i2i2i2−i2i2−i2−i2i2-222-20000000000000−i2i2i2−i2i2−i2−i2i20000000
χ532-2-2222-220000-22-2-22-22-22-20000-2200-2200i2−i2−i2i2−i2i2i2−i22-2-220000-220000i2−i2−i2i2−i2i2i2−i22-2-220000000000000−i2i2i2−i2i2−i2−i2i20000000
χ542-2-2222-220000-22-2-22-22-22-20000-2200-2200i2−i2−i2i2−i2i2i2−i2-222-20000-220000i2−i2−i2i2−i2i2i2−i2-222-20000000000000i2−i2−i2i2−i2i2i2−i20000000
χ5544444-2-4-444-4-44-24-24-2-2-2-2-2-4-422-4-4-2-22244000000000000000022-2-2220000000000000000000000000000000000000000
χ5644444-2-4-4-4-4444-24-24-2-2-2-2-244-2-2-4-42222-4-400000000000000002222-2-20000000000000000000000000000000000000000
χ574444-2444-4-4-4-4-24-24-24-2-2-2-222-4-4-2-2-4-444220000000000000000-2-222220000000000000000000000000000000000000000
χ584444-24-4-4-4-444-24-24-24-2-2-2-2-2-24422-4-4-4-42200000000000000002222-2-20000000000000000000000000000000000000000
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
χ614444-2-244-4-4-4-4-2-2-2-2-2-211112222-2-222-2-222000000000000000011-1-1-1-10000000000000000000−2i32i3i3i3−i3−i3000000000000000
χ624444-2-244-4-4-4-4-2-2-2-2-2-211112222-2-222-2-222000000000000000011-1-1-1-100000000000000000002i3−2i3−i3−i3i3i3000000000000000
χ634444-2-2-4-444-4-4-2-2-2-2-2-21111222222-2-222-2-20000000000000000-1-111-1-100000000000000000−2i32i300i3−i3i3−i3000000000000000
χ644444-2-2-4-444-4-4-2-2-2-2-2-21111222222-2-222-2-20000000000000000-1-111-1-1000000000000000002i3−2i300−i3i3−i3i3000000000000000
χ654444-2-2-4-4-4-444-2-2-2-2-2-21111-2-2-2-2222222220000000000000000-1-1-1-1110000000000000000000003-3-33000000000000000
χ664444-2-2-4-4-4-444-2-2-2-2-2-21111-2-2-2-2222222220000000000000000-1-1-1-111000000000000000000000-333-3000000000000000
χ6744-4-44-200004-4-424-2-42-222-24-4-220000000000000000−2i2−2i22i22i2−2i2−2i22i22i20000-2200000000i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ6844-4-44-200004-4-424-2-42-222-24-4-2200000000000000002i22i2−2i2−2i22i22i2−2i2−2i20000-2200000000−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ6944-4-44-20000-44-424-2-42-222-2-442-20000000000000000−2i2−2i22i22i22i22i2−2i2−2i200002-200000000i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ7044-4-44-20000-44-424-2-42-222-2-442-200000000000000002i22i2−2i2−2i2−2i2−2i22i22i200002-200000000−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ7144-4-4-2400004-42-4-242-4-222-2-224-400000000−2i2−2i22i22i2−2i2−2i22i22i2000000000000-22i2i2−i2−i2i2i2−i2−i200000000000000000000000000000000
χ7244-4-4-2400004-42-4-242-4-222-2-224-4000000002i22i2−2i2−2i22i22i2−2i2−2i2000000000000-22−i2−i2i2i2−i2−i2i2i200000000000000000000000000000000
χ7344-4-4-240000-442-4-242-4-222-22-2-4400000000−2i2−2i22i22i22i22i2−2i2−2i20000000000002-2i2i2−i2−i2−i2−i2i2i200000000000000000000000000000000
χ7444-4-4-240000-442-4-242-4-222-22-2-44000000002i22i2−2i2−2i2−2i2−2i22i22i20000000000002-2−i2−i2i2i2i2i2−i2−i200000000000000000000000000000000
χ754-44-44-2004-40042-42-4-2-2-222000000-22004-400000000−2i22i2−2i22i2−2i22i2−2i22i200-220000000000i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ764-44-44-2004-40042-42-4-2-2-222000000-22004-4000000002i2−2i22i2−2i22i2−2i22i2−2i200-220000000000−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ774-44-44-200-440042-42-4-2-2-2220000002-200-4400000000−2i22i2−2i22i22i2−2i22i2−2i2002-20000000000i2−i2i2−i2−i2i2−i2i2000000000000000000000000
χ784-44-44-200-440042-42-4-2-2-2220000002-200-44000000002i2−2i22i2−2i2−2i22i2−2i22i2002-20000000000−i2i2−i2i2i2−i2i2−i2000000000000000000000000
χ794-44-4-24004-400-2-42-424-2-2220000004-400-2200004-44-40000000000-22000000-22-2200000000000000000000000000000000
χ804-44-4-24004-400-2-42-424-2-2220000004-400-220000-44-440000000000-220000002-22-200000000000000000000000000000000
χ814-44-4-2400-4400-2-42-424-2-222000000-44002-24-44-4000000000000002-200-22-22000000000000000000000000000000000000
χ824-44-4-2400-4400-2-42-424-2-222000000-44002-2-44-44000000000000002-2002-22-2000000000000000000000000000000000000
χ834-4-444-24-40000-4-2-4242-22-2200004-400-22000000000000004-4-44-220000000000000000-222-2000000000000000000000000
χ844-4-444-24-40000-4-2-4242-22-2200004-400-2200000000000000-444-4-2200000000000000002-2-22000000000000000000000000
χ854-4-444-2-440000-4-2-4242-22-220000-44002-200000000004-4-4400002-2000000000000-222-20000000000000000000000000000
χ864-4-444-2-440000-4-2-4242-22-220000-44002-20000000000-444-400002-20000000000002-2-220000000000000000000000000000
χ874-4-44-244-40000242-4-2-4-22-220000-22004-400−2i22i22i2−2i2−2i22i22i2−2i200000000-220000i2−i2−i2i2i2−i2−i2i200000000000000000000000000000000
χ884-4-44-244-40000242-4-2-4-22-220000-22004-4002i2−2i2−2i22i22i2−2i2−2i22i200000000-220000−i2i2i2−i2−i2i2i2−i200000000000000000000000000000000
χ894-4-44-24-440000242-4-2-4-22-2200002-200-4400−2i22i22i2−2i22i2−2i2−2i22i2000000002-20000i2−i2−i2i2−i2i2i2−i200000000000000000000000000000000
χ904-4-44-24-440000242-4-2-4-22-2200002-200-44002i2−2i2−2i22i2−2i22i22i2−2i2000000002-20000−i2i2i2−i2i2−i2−i2i200000000000000000000000000000000
χ9188-8-8-4-400008-844-4-4442-2-22-44-4400000000000000000000000000002-20000000000000000000000000000000000000000
χ9288-8-8-4-40000-8844-4-4442-2-224-44-40000000000000000000000000000-220000000000000000000000000000000000000000
χ938-88-8-4-4008-800-44444-422-2-2000000-4400-440000000000000000002-2000000000000000000000000000000000000000000
χ948-88-8-4-400-8800-44444-422-2-20000004-4004-4000000000000000000-22000000000000000000000000000000000000000000
χ958-8-88-4-48-800004-444-442-22-20000-4400-440000000000000000002-200000000000000000000000000000000000000000000
χ968-8-88-4-4-8800004-444-442-22-200004-4004-4000000000000000000-2200000000000000000000000000000000000000000000

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