Finite Group Databasebeta

← Group #11782488

Character table — Group #11782488

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222244444444444444446666666666666666888888121212121212121212121212121212121616161616161616161818181818181818484848484848144
order1222334444446666663666121212121212121212121212888888888888888812121212121224242424242424242424242424242424412121212121212128888888844121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-111-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111
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
χ11222222-2-222-2-22222222222-2-2-2-222-2-2-2-2222222-2-2-2-200000000-2-222-2-22222-2-2-2-200000000000000000000000000000000
χ12222222-2-222-2-22222222222-2-2-2-222-2-2-2-222-2-2-2-2222200000000-2-222-2-2-2-2-2-2222200000000000000000000000000000000
χ13222222-2-2-2-2222222222222-2-222-2-222-2-2-2-20000000000000000-2-2-2-22200000000000000000000000002222-2-2-2-20000000
χ14222222-2-2-2-2222222222222-2-222-2-222-2-2-2-20000000000000000-2-2-2-2220000000000000000000000000-2-2-2-222220000000
χ1522222-122222222-1-1-12-1-1-1-122-1-1-1-122-1-1220000000022222222-1-1-1-1-1-100000000-1-1-1-1-1-1-1-12-1-122-1-1-1-10000000002-1-1000
χ1622222-122222222-1-1-12-1-1-1-122-1-1-1-122-1-1220000000022222222-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-211-2-21111000000000-211000
χ1722222-122222222-1-1-12-1-1-1-122-1-1-1-122-1-12200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-100000000111111112-1-122-1-1-1-1000000000-211000
χ1822222-122222222-1-1-12-1-1-1-122-1-1-1-122-1-12200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-10000000011111111-211-2-211110000000002-1-1000
χ1922222-122-2-2-2-222-1-1-12-1-1-1-1221111-2-2-1-1-2-2000000002222-2-2-2-2-1-1111100000000-1-1-1-111110−i3i300−i3−i3i3i30000000000−i3i3000
χ2022222-122-2-2-2-222-1-1-12-1-1-1-1221111-2-2-1-1-2-2000000002222-2-2-2-2-1-1111100000000-1-1-1-111110i3−i300i3i3−i3−i30000000000i3−i3000
χ2122222-122-2-2-2-222-1-1-12-1-1-1-1221111-2-2-1-1-2-200000000-2-2-2-22222-1-11111000000001111-1-1-1-10−i3i300−i3−i3i3i30000000000i3−i3000
χ2222222-122-2-2-2-222-1-1-12-1-1-1-1221111-2-2-1-1-2-200000000-2-2-2-22222-1-11111000000001111-1-1-1-10i3−i300i3i3−i3−i30000000000−i3i3000
χ232222-12222222-1-1222-1-1-1-1-1-1-12222-1-122-1-12222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222-1-1-1-1-1-1000000002000-1-10
χ242222-12222222-1-1222-1-1-1-1-1-1-12222-1-122-1-12222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-211111100000000-2000110
χ252222-12222222-1-1222-1-1-1-1-1-1-12222-1-122-1-1-2-2-2-2-2-2-2-200000000-1-1-1-1-1-11111111100000000222-1-1-1-1-1-100000000-2000110
χ262222-12222222-1-1222-1-1-1-1-1-1-12222-1-122-1-1-2-2-2-2-2-2-2-200000000-1-1-1-1-1-11111111100000000-2-2-2111111000000002000-1-10
χ272222-12-2-222-2-2-1-1222-1-1-1-1-111-2-22211-2-2-1-12222-2-2-2-20000000011-1-111-1-1-1-1111100000000000−i3i3−i3i3−i3i3000000000000−i3i30
χ282222-12-2-222-2-2-1-1222-1-1-1-1-111-2-22211-2-2-1-12222-2-2-2-20000000011-1-111-1-1-1-1111100000000000i3−i3i3−i3i3−i3000000000000i3−i30
χ292222-12-2-222-2-2-1-1222-1-1-1-1-111-2-22211-2-2-1-1-2-2-2-222220000000011-1-1111111-1-1-1-100000000000−i3i3−i3i3−i3i3000000000000i3−i30
χ302222-12-2-222-2-2-1-1222-1-1-1-1-111-2-22211-2-2-1-1-2-2-2-222220000000011-1-1111111-1-1-1-100000000000i3−i3i3−i3i3−i3000000000000−i3i30
χ3122-2-2222-200002-22-2-2-222-2-22-20000002-20022−2−222−2−2000022-2-22-2000022−2−222−2−2000022-2-200000000022−2−222−2−20000000
χ3222-2-2222-200002-22-2-2-222-2-22-20000002-20022−2−222−2−20000-2-2222-2000022−2−222−2−20000-2-222000000000−2−222−2−2220000000
χ3322-2-2222-200002-22-2-2-222-2-22-20000002-200−2−222−2−222000022-2-22-20000−2−222−2−222000022-2-2000000000−2−222−2−2220000000
χ3422-2-2222-200002-22-2-2-222-2-22-20000002-200−2−222−2−2220000-2-2222-20000−2−222−2−2220000-2-22200000000022−2−222−2−20000000
χ3522-2-222-2200002-22-2-2-222-2-2-22000000-220022−2−2−2−22222-2-20000-22000022−2−2−2−22222-2-2000000000000022−2−2−2−2220000000
χ3622-2-222-2200002-22-2-2-222-2-2-22000000-220022−2−2−2−222-2-2220000-22000022−2−2−2−222-2-2220000000000000−2−22222−2−20000000
χ3722-2-222-2200002-22-2-2-222-2-2-22000000-2200−2−22222−2−222-2-20000-220000−2−22222−2−222-2-20000000000000−2−22222−2−20000000
χ3822-2-222-2200002-22-2-2-222-2-2-22000000-2200−2−22222−2−2-2-2220000-220000−2−22222−2−2-2-222000000000000022−2−2−2−2220000000
χ392-22-22200002-2-2-2-22-222-2-22002-2002-200002−22−22−22−2−i2i2−i2i2−i2i2−i2i200002-22−22−22−22−2−i2i2−i2i2−i2i2−i2i200000000000002i−2i2i−2i0000000
χ402-22-22200002-2-2-2-22-222-2-22002-2002-200002−22−22−22−2i2−i2i2−i2i2−i2i2−i200002-22−22−22−22−2i2−i2i2−i2i2−i2i2−i20000000000000−2i2i−2i2i0000000
χ412-22-22200002-2-2-2-22-222-2-22002-2002-20000−22−22−22−22−i2i2−i2i2−i2i2−i2i200002-2−22−22−22−22−i2i2−i2i2−i2i2−i2i20000000000000−2i2i−2i2i0000000
χ422-22-22200002-2-2-2-22-222-2-22002-2002-20000−22−22−22−22i2−i2i2−i2i2−i2i2−i200002-2−22−22−22−22i2−i2i2−i2i2−i2i2−i200000000000002i−2i2i−2i0000000
χ432-22-2220000-22-2-2-22-222-2-2200-2200-2200002−22−2−22−22−i2i2−i2i2i2−i2i2−i20000-222−22−2−22−22−i2i2−i2i2i2−i2i2−i20000000002i−2i2i−2i00000000000
χ442-22-2220000-22-2-2-22-222-2-2200-2200-2200002−22−2−22−22i2−i2i2−i2−i2i2−i2i20000-222−22−2−22−22i2−i2i2−i2−i2i2−i2i2000000000−2i2i−2i2i00000000000
χ452-22-2220000-22-2-2-22-222-2-2200-2200-220000−22−222−22−2−i2i2−i2i2i2−i2i2−i20000-22−22−222−22−2−i2i2−i2i2i2−i2i2−i2000000000−2i2i−2i2i00000000000
χ462-22-2220000-22-2-2-22-222-2-2200-2200-220000−22−222−22−2i2−i2i2−i2−i2i2−i2i20000-22−22−222−22−2i2−i2i2−i2−i2i2−i2i20000000002i−2i2i−2i00000000000
χ472-2-2222002-200-22-2-22-22-22-200002-200002-200002-2-22−i2i2i2−i2−i2i2i2−i2002-20000002-2-22−i2i2i2−i2−i2i2i2−i2000000000i2−i2−i2i2i2−i2−i2i20000000
χ482-2-2222002-200-22-2-22-22-22-200002-200002-200002-2-22i2−i2−i2i2i2−i2−i2i2002-20000002-2-22i2−i2−i2i2i2−i2−i2i2000000000−i2i2i2−i2−i2i2i2−i20000000
χ492-2-2222002-200-22-2-22-22-22-200002-200002-20000-222-2−i2i2i2−i2−i2i2i2−i2002-2000000-222-2−i2i2i2−i2−i2i2i2−i2000000000−i2i2i2−i2−i2i2i2−i20000000
χ502-2-2222002-200-22-2-22-22-22-200002-200002-20000-222-2i2−i2−i2i2i2−i2−i2i2002-2000000-222-2i2−i2−i2i2i2−i2−i2i2000000000i2−i2−i2i2i2−i2−i2i20000000
χ512-2-222200-2200-22-2-22-22-22-20000-220000-222-2-220000−i2i2i2−i2i2−i2−i2i200-22002-2-220000−i2i2i2−i2i2−i2−i2i2000000000i2−i2−i2i2−i2i2i2−i20000000
χ522-2-222200-2200-22-2-22-22-22-20000-220000-222-2-220000i2−i2−i2i2−i2i2i2−i200-22002-2-220000i2−i2−i2i2−i2i2i2−i2000000000−i2i2i2−i2i2−i2−i2i20000000
χ532-2-222200-2200-22-2-22-22-22-20000-220000-22-222-20000−i2i2i2−i2i2−i2−i2i200-2200-222-20000−i2i2i2−i2i2−i2−i2i2000000000−i2i2i2−i2i2−i2−i2i20000000
χ542-2-222200-2200-22-2-22-22-22-20000-220000-22-222-20000i2−i2−i2i2−i2i2i2−i200-2200-222-20000i2−i2−i2i2−i2i2i2−i2000000000i2−i2−i2i2−i2i2i2−i20000000
χ5544444-2-4-444-4-444-2-2-24-2-2-2-2-4-422-2-2-4-42244000000000000000022-2-2220000000000000000000000000000000000000000
χ5644444-2-4-4-4-44444-2-2-24-2-2-2-2-4-4-2-2224422-4-400000000000000002222-2-20000000000000000000000000000000000000000
χ574444-2444-4-4-4-4-2-2444-2-2-2-2-2-2-2-4-4-4-42244220000000000000000-2-222220000000000000000000000000000000000000000
χ584444-24-4-4-4-444-2-2444-2-2-2-2-22244-4-4-2-2-4-42200000000000000002222-2-20000000000000000000000000000000000000000
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
χ614444-2-244-4-4-4-4-2-2-2-2-2-21111-2-2222222-2-222000000000000000011-1-1-1-100000000000000000−2i32i300i3i3−i3−i3000000000000000
χ624444-2-244-4-4-4-4-2-2-2-2-2-21111-2-2222222-2-222000000000000000011-1-1-1-1000000000000000002i3−2i300−i3−i3i3i3000000000000000
χ634444-2-2-4-444-4-4-2-2-2-2-2-211112222-2-22222-2-20000000000000000-1-111-1-10000000000000000000−2i32i3i3−i3i3−i3000000000000000
χ644444-2-2-4-444-4-4-2-2-2-2-2-211112222-2-22222-2-20000000000000000-1-111-1-100000000000000000002i3−2i3−i3i3−i3i3000000000000000
χ654444-2-2-4-4-4-444-2-2-2-2-2-2111122-2-222-2-222220000000000000000-1-1-1-1110000000000000000000003-3-33000000000000000
χ664444-2-2-4-4-4-444-2-2-2-2-2-2111122-2-222-2-222220000000000000000-1-1-1-111000000000000000000000-333-3000000000000000
χ6744-4-44-24-400004-4-222-4-2-2224-4000000-220000000000000044-4-4-220000000000000000-2-222000000000000000000000000
χ6844-4-44-24-400004-4-222-4-2-2224-4000000-2200000000000000-4-444-22000000000000000022-2-2000000000000000000000000
χ6944-4-44-2-4400004-4-222-4-2-222-440000002-2000000000044-4-400002-2000000000000-2-2220000000000000000000000000000
χ7044-4-44-2-4400004-4-222-4-2-222-440000002-20000000000-4-44400002-200000000000022-2-20000000000000000000000000000
χ7144-4-4-244-40000-224-4-42-2-222-220000004-4002222−22−222222−22−2200000000-220000−2−222−2−22200000000000000000000000000000000
χ7244-4-4-244-40000-224-4-42-2-222-220000004-400−22−222222−22−22222200000000-22000022−2−222−2−200000000000000000000000000000000
χ7344-4-4-24-440000-224-4-42-2-2222-2000000-44002222−22−22−22−222222000000002-20000−2−22222−2−200000000000000000000000000000000
χ7444-4-4-24-440000-224-4-42-2-2222-2000000-4400−22−2222222222−22−22000000002-2000022−2−2−2−22200000000000000000000000000000000
χ754-44-44-200004-4-4-42-224-222-200-22004-4000000000000−2i22i2−2i22i2−2i22i2−2i22i20000-2200000000i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ764-44-44-200004-4-4-42-224-222-200-22004-40000000000002i2−2i22i2−2i22i2−2i22i2−2i20000-2200000000−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ774-44-44-20000-44-4-42-224-222-2002-200-44000000000000−2i22i2−2i22i22i2−2i22i2−2i200002-200000000i2−i2i2−i2−i2i2−i2i2000000000000000000000000
χ784-44-44-20000-44-4-42-224-222-2002-200-440000000000002i2−2i22i2−2i2−2i22i2−2i22i200002-200000000−i2i2−i2i2i2−i2i2−i2000000000000000000000000
χ794-44-4-2400004-422-44-4-2-222-2004-400-22000022−2222−2222−2222−22000000000000-22−22−22−22−2200000000000000000000000000000000
χ804-44-4-2400004-422-44-4-2-222-2004-400-220000−2222−2222−2222−2222000000000000-222−22−22−22−200000000000000000000000000000000
χ814-44-4-240000-4422-44-4-2-222-200-44002-2000022−2222−22−2222−22220000000000002-2−22−222−22−200000000000000000000000000000000
χ824-44-4-240000-4422-44-4-2-222-200-44002-20000−2222−222222−2222−220000000000002-22−22−2−22−2200000000000000000000000000000000
χ834-4-444-2004-400-4422-2-4-22-220000-2200004-400000000−2i22i22i2−2i2−2i22i22i2−2i200-220000000000i2−i2−i2i2i2−i2−i2i2000000000000000000000000
χ844-4-444-2004-400-4422-2-4-22-220000-2200004-4000000002i2−2i2−2i22i22i2−2i2−2i22i200-220000000000−i2i2i2−i2−i2i2i2−i2000000000000000000000000
χ854-4-444-200-4400-4422-2-4-22-2200002-20000-4400000000−2i22i22i2−2i22i2−2i2−2i22i2002-20000000000i2−i2−i2i2−i2i2i2−i2000000000000000000000000
χ864-4-444-200-4400-4422-2-4-22-2200002-20000-44000000002i2−2i2−2i22i2−2i22i22i2−2i2002-20000000000−i2i2i2−i2i2−i2−i2i2000000000000000000000000
χ874-4-44-24004-4002-2-4-442-22-2200004-40000-2200004-4-440000000000-22000000-222-200000000000000000000000000000000
χ884-4-44-24004-4002-2-4-442-22-2200004-40000-220000-444-40000000000-220000002-2-2200000000000000000000000000000000
χ894-4-44-2400-44002-2-4-442-22-220000-4400002-24-4-44000000000000002-200-222-2000000000000000000000000000000000000
χ904-4-44-2400-44002-2-4-442-22-220000-4400002-2-444-4000000000000002-2002-2-22000000000000000000000000000000000000
χ9188-8-8-4-48-80000-44-444422-2-2-44000000-440000000000000000002-200000000000000000000000000000000000000000000
χ9288-8-8-4-4-880000-44-444422-2-24-40000004-4000000000000000000-2200000000000000000000000000000000000000000000
χ938-88-8-4-400008-8444-44-42-2-2200-4400-440000000000000000000000002-20000000000000000000000000000000000000000
χ948-88-8-4-40000-88444-44-42-2-22004-4004-4000000000000000000000000-220000000000000000000000000000000000000000
χ958-8-88-4-4008-8004-444-442-22-20000-440000-440000000000000000002-2000000000000000000000000000000000000000000
χ968-8-88-4-400-88004-444-442-22-200004-400004-4000000000000000000-22000000000000000000000000000000000000000000

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