Finite Group Databasebeta

← Group #11782519

Character table — Group #11782519

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222244444444444444446666666666666666888888121212121212121212121212121212121616161616161616161818181818181818484848484848144
order12223344444466666636661212121212121212121212128888888888888888121212121212242424242424242424242424242424244121212121212121288888888246612124
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
χ922222222-2-2-2-22222222222-2-2-2-2-2-22222-2-22222-2-2-2-200000000-2-2-2-2222222-2-2-2-200000000000000000000000000000000
χ1022222222-2-2-2-22222222222-2-2-2-2-2-22222-2-2-2-2-2-2222200000000-2-2-2-222-2-2-2-2222200000000000000000000000000000000
χ11222222-2-222-2-2222222222222-2-2-2-2-2-2-2-222000000002222-2-2-2-222-2-2-2-2000000002222-2-2-2-2000000000000000000000000
χ12222222-2-222-2-2222222222222-2-2-2-2-2-2-2-22200000000-2-2-2-2222222-2-2-2-200000000-2-2-2-22222000000000000000000000000
χ13222222-2-2-2-2222222222222-2-22222-2-2-2-2-2-20000000000000000-2-222-2-200000000000000000000000002222-2-2-2-20000000
χ14222222-2-2-2-2222222222222-2-22222-2-2-2-2-2-20000000000000000-2-222-2-20000000000000000000000000-2-2-2-222220000000
χ1522222-12222222-1-12-12-1-1-1-1-1-122-1-122-1-1222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222-1-1-1-1-1-10000000020-1-1000
χ1622222-12222222-1-12-12-1-1-1-1-1-122-1-122-1-1222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-211111100000000-2011000
χ1722222-12222222-1-12-12-1-1-1-1-1-122-1-122-1-122-2-2-2-2-2-2-2-200000000-1-1-1-1-1-11111111100000000222-1-1-1-1-1-100000000-2011000
χ1822222-12222222-1-12-12-1-1-1-1-1-122-1-122-1-122-2-2-2-2-2-2-2-200000000-1-1-1-1-1-11111111100000000-2-2-21111110000000020-1-1000
χ1922222-122-2-2-2-22-1-12-12-1-1-1-111-2-21122-1-1-2-22222-2-2-2-2000000001111-1-1-1-1-1-1111100000000000−i3i3−i3−i3i3i30000000000−i3i3000
χ2022222-122-2-2-2-22-1-12-12-1-1-1-111-2-21122-1-1-2-22222-2-2-2-2000000001111-1-1-1-1-1-1111100000000000i3−i3i3i3−i3−i30000000000i3−i3000
χ2122222-122-2-2-2-22-1-12-12-1-1-1-111-2-21122-1-1-2-2-2-2-2-22222000000001111-1-11111-1-1-1-100000000000−i3i3−i3−i3i3i30000000000i3−i3000
χ2222222-122-2-2-2-22-1-12-12-1-1-1-111-2-21122-1-1-2-2-2-2-2-22222000000001111-1-11111-1-1-1-100000000000i3−i3i3i3−i3−i30000000000−i3i3000
χ232222-12222222-122-12-1-1-1-1-122-1-122-1-122-1-10000000022222222-1-1-1-1-1-100000000-1-1-1-1-1-1-1-12-1-122-1-1-1-1000000000200-1-10
χ242222-12222222-122-12-1-1-1-1-122-1-122-1-122-1-10000000022222222-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-211-2-21111000000000-200110
χ252222-12222222-122-12-1-1-1-1-122-1-122-1-122-1-100000000-2-2-2-2-2-2-2-2-1-1-1-1-1-100000000111111112-1-122-1-1-1-1000000000-200110
χ262222-12222222-122-12-1-1-1-1-122-1-122-1-122-1-100000000-2-2-2-2-2-2-2-2-1-1-1-1-1-10000000011111111-211-2-21111000000000200-1-10
χ272222-12-2-222-2-2-122-12-1-1-1-1-12211-2-211-2-2-1-1000000002222-2-2-2-2-1-1111100000000-1-1-1-111110−i3i300−i3i3−i3i3000000000000−i3i30
χ282222-12-2-222-2-2-122-12-1-1-1-1-12211-2-211-2-2-1-1000000002222-2-2-2-2-1-1111100000000-1-1-1-111110i3−i300i3−i3i3−i3000000000000i3−i30
χ292222-12-2-222-2-2-122-12-1-1-1-1-12211-2-211-2-2-1-100000000-2-2-2-22222-1-11111000000001111-1-1-1-10−i3i300−i3i3−i3i3000000000000i3−i30
χ302222-12-2-222-2-2-122-12-1-1-1-1-12211-2-211-2-2-1-100000000-2-2-2-22222-1-11111000000001111-1-1-1-10i3−i300i3−i3i3−i3000000000000−i3i30
χ3122-2-2222-20000-2-2-222-22-2-220000002-22-200000022-2-2−i2−i2i2i2−i2−i2i2i200002-2000022-2-2−i2−i2i2i2−i2−i2i2i2000000000−i2−i2i2i2−i2−i2i2i20000000
χ3222-2-2222-20000-2-2-222-22-2-220000002-22-200000022-2-2i2i2−i2−i2i2i2−i2−i200002-2000022-2-2i2i2−i2−i2i2i2−i2−i2000000000i2i2−i2−i2i2i2−i2−i20000000
χ3322-2-2222-20000-2-2-222-22-2-220000002-22-2000000-2-222−i2−i2i2i2−i2−i2i2i200002-20000-2-222−i2−i2i2i2−i2−i2i2i2000000000i2i2−i2−i2i2i2−i2−i20000000
χ3422-2-2222-20000-2-2-222-22-2-220000002-22-2000000-2-222i2i2−i2−i2i2i2−i2−i200002-20000-2-222i2i2−i2−i2i2i2−i2−i2000000000−i2−i2i2i2−i2−i2i2i20000000
χ3522-2-222-220000-2-2-222-22-2-22000000-22-220022-2-20000−i2−i2i2i2i2i2−i2−i20000-2222-2-20000−i2−i2i2i2i2i2−i2−i2000000000−i2−i2i2i2i2i2−i2−i20000000
χ3622-2-222-220000-2-2-222-22-2-22000000-22-220022-2-20000i2i2−i2−i2−i2−i2i2i20000-2222-2-20000i2i2−i2−i2−i2−i2i2i2000000000i2i2−i2−i2−i2−i2i2i20000000
χ3722-2-222-220000-2-2-222-22-2-22000000-22-2200-2-2220000−i2−i2i2i2i2i2−i2−i20000-22-2-2220000−i2−i2i2i2i2i2−i2−i2000000000i2i2−i2−i2−i2−i2i2i20000000
χ3822-2-222-220000-2-2-222-22-2-22000000-22-2200-2-2220000i2i2−i2−i2−i2−i2i2i20000-22-2-2220000i2i2−i2−i2−i2−i2i2i2000000000−i2−i2i2i2i2i2−i2−i20000000
χ392-22-222002-200-22-2-2-2222-2-22-2000000002-2−i2i2−i2i2−i2i2−i2i200002i−2i2i−2i2-20000−i2i2−i2i2−i2i2−i2i200002i−2i2i−2i0000000002−22−22−22−20000000
χ402-22-222002-200-22-2-2-2222-2-22-2000000002-2−i2i2−i2i2−i2i2−i2i20000−2i2i−2i2i2-20000−i2i2−i2i2−i2i2−i2i20000−2i2i−2i2i000000000−22−22−22−220000000
χ412-22-222002-200-22-2-2-2222-2-22-2000000002-2i2−i2i2−i2i2−i2i2−i200002i−2i2i−2i2-20000i2−i2i2−i2i2−i2i2−i200002i−2i2i−2i000000000−22−22−22−220000000
χ422-22-222002-200-22-2-2-2222-2-22-2000000002-2i2−i2i2−i2i2−i2i2−i20000−2i2i−2i2i2-20000i2−i2i2−i2i2−i2i2−i20000−2i2i−2i2i0000000002−22−22−22−20000000
χ432-22-22200-2200-22-2-2-2222-2-2-2200000000-22−i2i2−i2i2i2−i2i2−i22i−2i2i−2i0000-220000−i2i2−i2i2i2−i2i2−i22i−2i2i−2i00000000000002−22−2−22−220000000
χ442-22-22200-2200-22-2-2-2222-2-2-2200000000-22−i2i2−i2i2i2−i2i2−i2−2i2i−2i2i0000-220000−i2i2−i2i2i2−i2i2−i2−2i2i−2i2i0000000000000−22−222−22−20000000
χ452-22-22200-2200-22-2-2-2222-2-2-2200000000-22i2−i2i2−i2−i2i2−i2i22i−2i2i−2i0000-220000i2−i2i2−i2−i2i2−i2i22i−2i2i−2i0000000000000−22−222−22−20000000
χ462-22-22200-2200-22-2-2-2222-2-2-2200000000-22i2−i2i2−i2−i2i2−i2i2−2i2i−2i2i0000-220000i2−i2i2−i2−i2i2−i2i2−2i2i−2i2i00000000000002−22−2−22−220000000
χ472-2-222200002-22-22-2-2-22-22-2002-22-2000000−i2i2i2−i2−i2i2i2−i22−2−222−2−22002-200−i2i2i2−i2−i2i2i2−i22−2−222−2−220000000000000−2i2i2i−2i0000000
χ482-2-222200002-22-22-2-2-22-22-2002-22-2000000−i2i2i2−i2−i2i2i2−i2−222−2−222−2002-200−i2i2i2−i2−i2i2i2−i2−222−2−222−200000000000002i−2i−2i2i0000000
χ492-2-222200002-22-22-2-2-22-22-2002-22-2000000i2−i2−i2i2i2−i2−i2i22−2−222−2−22002-200i2−i2−i2i2i2−i2−i2i22−2−222−2−2200000000000002i−2i−2i2i0000000
χ502-2-222200002-22-22-2-2-22-22-2002-22-2000000i2−i2−i2i2i2−i2−i2i2−222−2−222−2002-200i2−i2−i2i2i2−i2−i2i2−222−2−222−20000000000000−2i2i2i−2i0000000
χ512-2-22220000-222-22-2-2-22-22-200-22-22000000−i2i2i2−i2i2−i2−i2i22−2−22−222−200-2200−i2i2i2−i2i2−i2−i2i22−2−22−222−2000000000−2i2i2i−2i00000000000
χ522-2-22220000-222-22-2-2-22-22-200-22-22000000−i2i2i2−i2i2−i2−i2i2−222−22−2−2200-2200−i2i2i2−i2i2−i2−i2i2−222−22−2−220000000002i−2i−2i2i00000000000
χ532-2-22220000-222-22-2-2-22-22-200-22-22000000i2−i2−i2i2−i2i2i2−i22−2−22−222−200-2200i2−i2−i2i2−i2i2i2−i22−2−22−222−20000000002i−2i−2i2i00000000000
χ542-2-22220000-222-22-2-2-22-22-200-22-22000000i2−i2−i2i2−i2i2i2−i2−222−22−2−2200-2200i2−i2−i2i2−i2i2i2−i2−222−22−2−22000000000−2i2i2i−2i00000000000
χ5544444-2-4-444-4-44-2-24-24-2-2-2-2-2-2-4-422-4-422440000000000000000-2-222220000000000000000000000000000000000000000
χ5644444-2-4-4-4-4444-2-24-24-2-2-2-22244-2-2-4-422-4-4000000000000000022-2-2220000000000000000000000000000000000000000
χ574444-2444-4-4-4-4-244-24-2-2-2-2-2-4-422-4-4-2-2442200000000000000002222-2-20000000000000000000000000000000000000000
χ584444-24-4-4-4-444-244-24-2-2-2-2-2-4-4-2-24422-4-422000000000000000022-2-2220000000000000000000000000000000000000000
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
χ614444-2-244-4-4-4-4-2-2-2-2-2-21111222222-2-2-2-2220000000000000000-1-1-1-1110000000000000000000−2i32i3i3i3−i3−i3000000000000000
χ624444-2-244-4-4-4-4-2-2-2-2-2-21111222222-2-2-2-2220000000000000000-1-1-1-11100000000000000000002i3−2i3−i3−i3i3i3000000000000000
χ634444-2-2-4-444-4-4-2-2-2-2-2-21111-2-222222222-2-2000000000000000011-1-1-1-100000000000000000−2i32i300i3−i3i3−i3000000000000000
χ644444-2-2-4-444-4-4-2-2-2-2-2-21111-2-222222222-2-2000000000000000011-1-1-1-1000000000000000002i3−2i300−i3i3−i3i3000000000000000
χ654444-2-2-4-4-4-444-2-2-2-2-2-2111122-2-2-2-22222220000000000000000-1-111-1-10000000000000000000003-3-33000000000000000
χ664444-2-2-4-4-4-444-2-2-2-2-2-2111122-2-2-2-22222220000000000000000-1-111-1-1000000000000000000000-333-3000000000000000
χ6744-4-44-24-40000-4224-2-4-222-20000004-4-2200000044-4-4000000000000-220000-2-22200000000000000000000000000000000
χ6844-4-44-24-40000-4224-2-4-222-20000004-4-22000000-4-444000000000000-22000022-2-200000000000000000000000000000000
χ6944-4-44-2-440000-4224-2-4-222-2000000-442-20044-4-400000000000000002-2-2-222000000000000000000000000000000000000
χ7044-4-44-2-440000-4224-2-4-222-2000000-442-200-4-44400000000000000002-222-2-2000000000000000000000000000000000000
χ7144-4-4-244-400002-4-4-242-222-2000000-224-40000000000−2i2−2i22i22i2−2i2−2i22i22i20000-2200000000i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ7244-4-4-244-400002-4-4-242-222-2000000-224-400000000002i22i2−2i2−2i22i22i2−2i2−2i20000-2200000000−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ7344-4-4-24-4400002-4-4-242-222-20000002-2-440000000000−2i2−2i22i22i22i22i2−2i2−2i200002-200000000i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ7444-4-4-24-4400002-4-4-242-222-20000002-2-4400000000002i22i2−2i2−2i2−2i2−2i22i22i200002-200000000−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ754-44-44-2004-400-4-22-424-2-222-22000000004-4−2i22i2−2i22i2−2i22i2−2i22i200000000-220000i2−i2i2−i2i2−i2i2−i200000000000000000000000000000000
χ764-44-44-2004-400-4-22-424-2-222-22000000004-42i2−2i22i2−2i22i2−2i22i2−2i200000000-220000−i2i2−i2i2−i2i2−i2i200000000000000000000000000000000
χ774-44-44-200-4400-4-22-424-2-2222-200000000-44−2i22i2−2i22i22i2−2i22i2−2i2000000002-20000i2−i2i2−i2−i2i2−i2i200000000000000000000000000000000
χ784-44-44-200-4400-4-22-424-2-2222-200000000-442i2−2i22i2−2i2−2i22i2−2i22i2000000002-20000−i2i2−i2i2i2−i2i2−i200000000000000000000000000000000
χ794-44-4-24004-40024-42-4-2-2-2224-400000000-220000000000004i−4i4i−4i-220000000000000000−2i2i−2i2i000000000000000000000000
χ804-44-4-24004-40024-42-4-2-2-2224-400000000-22000000000000−4i4i−4i4i-2200000000000000002i−2i2i−2i000000000000000000000000
χ814-44-4-2400-440024-42-4-2-2-222-44000000002-2000000004i−4i4i−4i00002-2000000000000−2i2i−2i2i0000000000000000000000000000
χ824-44-4-2400-440024-42-4-2-2-222-44000000002-200000000−4i4i−4i4i00002-20000000000002i−2i2i−2i0000000000000000000000000000
χ834-4-444-200004-442-2-42-4-22-22004-4-22000000−2i22i22i2−2i2−2i22i22i2−2i20000000000-2200i2−i2−i2i2i2−i2−i2i200000000000000000000000000000000
χ844-4-444-200004-442-2-42-4-22-22004-4-220000002i2−2i2−2i22i22i2−2i2−2i22i20000000000-2200−i2i2i2−i2−i2i2i2−i200000000000000000000000000000000
χ854-4-444-20000-4442-2-42-4-22-2200-442-2000000−2i22i22i2−2i22i2−2i2−2i22i200000000002-200i2−i2−i2i2−i2i2i2−i200000000000000000000000000000000
χ864-4-444-20000-4442-2-42-4-22-2200-442-20000002i2−2i2−2i22i2−2i22i22i2−2i200000000002-200−i2i2i2−i2i2−i2−i2i200000000000000000000000000000000
χ874-4-44-2400004-4-2-442-42-22-2200-224-40000000000000022−22−222222−22−222200-220000000000−222−2−222−2000000000000000000000000
χ884-4-44-2400004-4-2-442-42-22-2200-224-400000000000000−222222−22−222222−2200-2200000000002−2−222−2−22000000000000000000000000
χ894-4-44-240000-44-2-442-42-22-22002-2-440000000000000022−22−2222−222222−22002-20000000000−222−22−2−22000000000000000000000000
χ904-4-44-240000-44-2-442-42-22-22002-2-4400000000000000−222222−2222−22−2222002-200000000002−2−22−222−2000000000000000000000000
χ9188-8-8-4-48-80000444-4-442-2-22000000-44-4400000000000000000000002-20000000000000000000000000000000000000000
χ9288-8-8-4-4-880000444-4-442-2-220000004-44-40000000000000000000000-220000000000000000000000000000000000000000
χ938-88-8-4-4008-8004-4444-422-2-2-4400000000-4400000000000000002-200000000000000000000000000000000000000000000
χ948-88-8-4-400-88004-4444-422-2-24-4000000004-40000000000000000-2200000000000000000000000000000000000000000000
χ958-8-88-4-400008-8-44-44442-22-200-44-440000000000000000000000002-2000000000000000000000000000000000000000000
χ968-8-88-4-40000-88-44-44442-22-2004-44-4000000000000000000000000-22000000000000000000000000000000000000000000

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