Finite Group Databasebeta

← Group #11878503

Character table — Group #11878503

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444444448888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order122233446666661212121222234446666666121212121212121212126666666666121212121212121212128888242424242424242424446688121212121212242424242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-111-1-111-1-11111111-1-11111-1-11-111-1-1-1-1-1-11-111-1-1-1-11111111111111-11-111-1-1-1-111-1-1-1-1-1-11-11-1
χ61111111111111111111-1-111-1-111-1-11111111-1-11111-1-11-111-1-1-1-1-1-11-111-1-1-1-1111111111111-11-11-1-1-1-111-1-111-1-1-1-1-11-11
χ71111111111111111111-1-111-1-111-1-11111111-1-11111-1-11-111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-111-1-11111-11-11
χ81111111111111111111-1-111-1-111-1-11111111-1-11111-1-11-111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-11111111-11-1
χ9111111111111111111-11-11-11-1-1-111111-1-1111111111-1-1-1-1-111-1-11-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-1111-111-1-1-1-111-1-11-1-11
χ10111111111111111111-11-11-11-1-1-111111-1-1111111111-1-1-1-1-111-1-11-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-11-1-1-1111111-1-1-111-1
χ11111111111111111111-11-11-11-1-1-111111-1-1111111111-1-1-1-1-111-1-11-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1111-1-1-1-1-1-111-111-1
χ12111111111111111111-11-11-11-1-1-111111-1-1111111111-1-1-1-1-111-1-11-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-11-1-11111-1-1111-1-11
χ13111111111111111111-1-111-1-11-1-1-1-1111-1-111-1-11111-11-11-1-1-1-111-11-11-1-1-1-11111-1-11111-1-1-1-11-1-1111-11-1-1-1-111-1-11111-1-1
χ14111111111111111111-1-111-1-11-1-1-1-1111-1-111-1-11111-11-11-1-1-1-111-11-11-1-1-1-11111-1-11111-1-1-1-1-111-1-1-1-111111-1-1-1-111-1-111
χ15111111111111111111-1-111-1-11-1-1-1-1111-1-111-1-11111-11-11-1-1-1-111-11-11-1-1-1-111-1-111-1-1-1-111111-1-11111-1-1-1-1-11111-1-1-1-111
χ16111111111111111111-1-111-1-11-1-1-1-1111-1-111-1-11111-11-11-1-1-1-111-11-11-1-1-1-111-1-111-1-1-1-11111-111-1-1-11-11111-1-111-1-111-1-1
χ17222222-2-2222222-2-2-2-222-22-2-222222222-2-2-2-2-2-2-2-2-2-22-22-22222-2-2-22-22-2-2-2-2220000000000000000000000000000000000
χ18222222-2-2222222-2-2-2-22-222-22-222-2-2222-2-2-2-222-2-2-2-2-222222-2-2222-2-2-2-2-222-2-20000000000000000000000000000000000
χ19222222-2-2222222-2-2-2-2-22222-2-2-2-22222222-2-2-2-2-2-2-2-222-22-2-22222-2-22-222-2-2-2-20000000000000000000000000000000000
χ20222222-2-2222222-2-2-2-2-2-2-22222-2-2-2-222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222220000000000000000000000000000000000
χ2122222-12222-12-1-12222222-122222-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000000000002222-1-100-1-1-1-1-1-100000000
χ2222222-12222-12-1-12222222-122222-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000-2-2-2-2110011111100000000
χ2322222-12222-12-1-122222-2-2-12-2-22211-1-1-122-1-111-1-1-1-1-2-2-11-1-11111-2-2-11-1-111110000000000002-22-2-1-10011-1-11100000000
χ2422222-12222-12-1-122222-2-2-12-2-22211-1-1-122-1-111-1-1-1-1-2-2-11-1-11111-2-2-11-1-11111000000000000-22-221100-1-111-1-100000000
χ2522222-12222-12-1-12222-22-2-1-22-2-2-2-1-1-1-1-1-2-2-1-1-1-1-1-1-1-12-21111-1-1112-21111-1-11100000000000022-2-2-1-100-1-1111100000000
χ2622222-12222-12-1-12222-22-2-1-22-2-2-2-1-1-1-1-1-2-2-1-1-1-1-1-1-1-12-21111-1-1112-21111-1-111000000000000-2-222110011-1-1-1-100000000
χ2722222-12222-12-1-12222-2-22-1-2-22-2-211-1-1-1-2-2-1-111-1-1-1-1-221-11111-1-1-221-11111-1-10000000000002-2-22-1-1001111-1-100000000
χ2822222-12222-12-1-12222-2-22-1-2-22-2-211-1-1-1-2-2-1-111-1-1-1-1-221-11111-1-1-221-11111-1-1000000000000-222-21100-1-1-1-11100000000
χ2922222-1-2-222-12-1-1-2-2-2-222-2-1-2-2222-1-1-1-1-1-2-2111111112-2-11-1-1-1-111-221-11111-1-10000000000000000−i3i300−i3i3−i3i3−i3i300000000
χ3022222-1-2-222-12-1-1-2-2-2-222-2-1-2-2222-1-1-1-1-1-2-2111111112-2-11-1-1-1-111-221-11111-1-10000000000000000i3−i300i3−i3i3−i3i3−i300000000
χ3122222-1-2-222-12-1-1-2-2-2-22-22-1-22-22211-1-1-1-2-211-1-11111-22-1-1-1-111-1-12-21111-1-1110000000000000000−i3i300i3−i3−i3i3i3−i300000000
χ3222222-1-2-222-12-1-1-2-2-2-22-22-1-22-22211-1-1-1-2-211-1-11111-22-1-1-1-111-1-12-21111-1-1110000000000000000i3−i300−i3i3i3−i3−i3i300000000
χ3322222-1-2-222-12-1-1-2-2-2-2-222-12-2-2-2-2-1-1-1-1-12211111111221-111-1-1-1-1-2-2-11-1-111110000000000000000−i3i300−i3i3i3−i3i3−i300000000
χ3422222-1-2-222-12-1-1-2-2-2-2-222-12-2-2-2-2-1-1-1-1-12211111111221-111-1-1-1-1-2-2-11-1-111110000000000000000i3−i300i3−i3−i3i3−i3i300000000
χ3522222-1-2-222-12-1-1-2-2-2-2-2-2-2-1222-2-211-1-1-12211-1-11111-2-21111111122-1-1-1-1-1-1-1-10000000000000000−i3i300i3−i3i3−i3−i3i300000000
χ3622222-1-2-222-12-1-1-2-2-2-2-2-2-2-1222-2-211-1-1-12211-1-11111-2-21111111122-1-1-1-1-1-1-1-10000000000000000i3−i300−i3i3−i3i3i3−i300000000
χ372222-1222-1-12-122-1-1-1-1222-1222-1-122-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000022000000-1-1-1-10000
χ382222-1222-1-12-122-1-1-1-1222-1222-1-122-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-211111111000000-2-200000011110000
χ392222-1222-1-12-122-1-1-1-12-2-2-12-2-2-1-1-2-2-1-1-1-1-122-2-2-1-1-1-1112-2-1-11111112-2-1-111112222-1-1-1-1-1-1-1-1000000-2-200000011110000
χ402222-1222-1-12-122-1-1-1-12-2-2-12-2-2-1-1-2-2-1-1-1-1-122-2-2-1-1-1-1112-2-1-11111112-2-1-11111-2-2-2-21111111100000022000000-1-1-1-10000
χ412222-1222-1-12-122-1-1-1-1-22-2-1-22-21122-1-1-1112222-1-1-1-1-11-2-211-1-111-11-2-211-1-11122-2-2-1-1-1-111110000002-2000000-1-1110000
χ422222-1222-1-12-122-1-1-1-1-22-2-1-22-21122-1-1-1112222-1-1-1-1-11-2-211-1-111-11-2-211-1-111-2-2221111-1-1-1-1000000-2200000011-1-10000
χ432222-1222-1-12-122-1-1-1-1-2-22-1-2-2211-2-2-1-1-11122-2-2-1-1-1-11-1-221111-1-11-1-221111-1-122-2-2-1-1-1-11111000000-2200000011-1-10000
χ442222-1222-1-12-122-1-1-1-1-2-22-1-2-2211-2-2-1-1-11122-2-2-1-1-1-11-1-221111-1-11-1-221111-1-1-2-2221111-1-1-1-10000002-2000000-1-1110000
χ452222-12-2-2-1-12-122111122-2-1-2-22-1-122-1-1-111-2-2-2-21111-112-2-1-1-1-1111-1-221111-1-1000033−3−333−3−3000000000000003−33−30000
χ462222-12-2-2-1-12-122111122-2-1-2-22-1-122-1-1-111-2-2-2-21111-112-2-1-1-1-1111-1-221111-1-10000−3−333−3−33300000000000000−33−330000
χ472222-12-2-2-1-12-12211112-22-1-22-2-1-1-2-2-1-1-111-2-22211111-122-1-111-1-1-11-2-211-1-111000033−3−333−3−300000000000000−33−330000
χ482222-12-2-2-1-12-12211112-22-1-22-2-1-1-2-2-1-1-111-2-22211111-122-1-111-1-1-11-2-211-1-1110000−3−333−3−333000000000000003−33−30000
χ492222-12-2-2-1-12-1221111-222-12-2-21122-1-1-1-1-1-2-2-2-21111-1-1-2211-1-1-1-1112-2-1-11111000033−3−3−3−333000000000000003−3−330000
χ502222-12-2-2-1-12-1221111-222-12-2-21122-1-1-1-1-1-2-2-2-21111-1-1-2211-1-1-1-1112-2-1-111110000−3−33333−3−300000000000000−333−30000
χ512222-12-2-2-1-12-1221111-2-2-2-122211-2-2-1-1-1-1-1-2-222111111-2-2111111-1-122-1-1-1-1-1-1000033−3−3−3−33300000000000000−333−30000
χ522222-12-2-2-1-12-1221111-2-2-2-122211-2-2-1-1-1-1-1-2-222111111-2-2111111-1-122-1-1-1-1-1-10000−3−33333−3−3000000000000003−3−330000
χ534444-2-244-2-2-2-2-2-2-2-2-2-24441444-2-2-2-2111-2-2-2-2-2-21111-2-2-2-2111111-2-2-2-21111110000000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2-2-2-2-24-4-414-4-4-2-222111-2-2-2-222111122-2211-1-1-1-122-2211-1-1-1-10000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2-2-2-2-2-44-41-44-422-2-211122-2-2-2-21111-2222-1-111-1-1-2222-1-111-1-10000000000000000000000000000000000
χ564444-2-244-2-2-2-2-2-2-2-2-2-2-4-441-4-44222211122-2-22211112-22-2-1-1-1-1112-22-2-1-1-1-1110000000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-2222244-41-4-44-2-2-2-2111222222-1-1-1-1-22-221111-1-12-22-2-1-1-1-1110000000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-222224-441-44-4-2-2221112222-2-2-1-1-1-12-2-2-211-1-111-2222-1-111-1-10000000000000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-22222-44414-4-422-2-2111-2-22222-1-1-1-1-2-22-2-1-1111122-2211-1-1-1-10000000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-22222-4-4-414442222111-2-222-2-2-1-1-1-12222-1-1-1-1-1-1-2-2-2-21111110000000000000000000000000000000000
χ6144-4-444004-44-4-4-40000000400000004-4-400000000000000000000000000000022−220022−2222−2200000000000000000000000000
χ6244-4-444004-44-4-4-40000000400000004-4-4000000000000000000000000000000−222200−2222−222200000000000000000000000000
χ6344-4-4-2400-2242-4-42323−23−23000-20000000-2220000002323−23−230000000000000000000022−22002ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ2300000000000000000000000000
χ6444-4-4-2400-2242-4-42323−23−23000-20000000-2220000002323−23−2300000000000000000000−222200−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ2300000000000000000000000000
χ6544-4-4-2400-2242-4-4−23−232323000-20000000-222000000−23−2323230000000000000000000022−22002ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ700000000000000000000000000
χ6644-4-4-2400-2242-4-4−23−232323000-20000000-222000000−23−23232300000000000000000000−222200−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ700000000000000000000000000
χ674-44-4444-4-4-4-444-44-44-400040000000-4-44004-4004-44-4000000000000000000000000000000000000000000000000000000
χ684-44-444-44-4-4-444-4-44-4400040000000-4-4400-4400-44-44000000000000000000000000000000000000000000000000000000
χ694-44-44-24-4-4-424-224-44-4000-200000−2i32i322-200-22−2i32i3-22-22000000−2i32i300000000−2i32i3000000000000000000000000000000000000
χ704-44-44-24-4-4-424-224-44-4000-2000002i3−2i322-200-222i3−2i3-22-220000002i3−2i3000000002i3−2i3000000000000000000000000000000000000
χ714-44-44-2-44-4-424-22-44-44000-200000−2i32i322-2002-22i3−2i32-22-2000000−2i32i3000000002i3−2i3000000000000000000000000000000000000
χ724-44-44-2-44-4-424-22-44-44000-2000002i3−2i322-2002-2−2i32i32-22-20000002i3−2i300000000−2i32i3000000000000000000000000000000000000
χ734-44-4-244-422-4-24-4-22-22000-2000−2i32i30022-2−2i32i34-400-22-220000−2i32i300000000−2i32i300000000000000000000000000000000000000
χ744-44-4-244-422-4-24-4-22-22000-20002i3−2i30022-22i3−2i34-400-22-2200002i3−2i3000000002i3−2i300000000000000000000000000000000000000
χ754-44-4-24-4422-4-24-42-22-2000-2000−2i32i30022-22i3−2i3-44002-22-20000−2i32i3000000002i3−2i300000000000000000000000000000000000000
χ764-44-4-24-4422-4-24-42-22-2000-20002i3−2i30022-2−2i32i3-44002-22-200002i3−2i300000000−2i32i300000000000000000000000000000000000000
χ774-44-4-2-24-4222-2-22-22-220001000−2i32i3−2i32i3-1-11−2i32i3-22−2i32i31-11-10000i3−i3i3−i33-30000i3−i3i3−i33-30000000000000000000000000000000000
χ784-44-4-2-24-4222-2-22-22-220001000−2i32i32i3−2i3-1-11−2i32i3-222i3−2i31-11-10000i3−i3−i3i3-330000i3−i3−i3i3-330000000000000000000000000000000000
χ794-44-4-2-24-4222-2-22-22-2200010002i3−2i3−2i32i3-1-112i3−2i3-22−2i32i31-11-10000−i3i3i3−i3-330000−i3i3i3−i3-330000000000000000000000000000000000
χ804-44-4-2-24-4222-2-22-22-2200010002i3−2i32i3−2i3-1-112i3−2i3-222i3−2i31-11-10000−i3i3−i3i33-30000−i3i3−i3i33-30000000000000000000000000000000000
χ814-44-4-2-2-44222-2-222-22-20001000−2i32i3−2i32i3-1-112i3−2i32-22i3−2i3-11-110000i3−i3i3−i3-330000−i3i3−i3i33-30000000000000000000000000000000000
χ824-44-4-2-2-44222-2-222-22-20001000−2i32i32i3−2i3-1-112i3−2i32-2−2i32i3-11-110000i3−i3−i3i33-30000−i3i3i3−i3-330000000000000000000000000000000000
χ834-44-4-2-2-44222-2-222-22-200010002i3−2i3−2i32i3-1-11−2i32i32-22i3−2i3-11-110000−i3i3i3−i33-30000i3−i3−i3i3-330000000000000000000000000000000000
χ844-44-4-2-2-44222-2-222-22-200010002i3−2i32i3−2i3-1-11−2i32i32-2−2i32i3-11-110000−i3i3−i3i3-330000i3−i3i3−i33-30000000000000000000000000000000000
χ854-4-444400-44-4-4-44000000040000000-44-40000000000000000000000000000000022−22000022−2222−220000000000000000000000
χ864-4-444400-44-4-4-44000000040000000-44-400000000000000000000000000000000−22220000−2222−22220000000000000000000000
χ874-4-44-24002-2-42-4423−23−2323000-200000002-2200000023−23−2323000000000000000000000022−2200002ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ230000000000000000000000
χ884-4-44-24002-2-42-4423−23−2323000-200000002-2200000023−23−23230000000000000000000000−22220000−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ230000000000000000000000
χ894-4-44-24002-2-42-44−232323−23000-200000002-22000000−232323−23000000000000000000000022−2200002ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ70000000000000000000000
χ904-4-44-24002-2-42-44−232323−23000-200000002-22000000−232323−230000000000000000000000−22220000−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ70000000000000000000000
χ9188-8-88-4008-8-4-8440000000-40000000-4440000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-400-44-44444343−43−43000200000002-2-2000000−23−232323000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-400-44-4444−43−434343000200000002-2-20000002323−23−23000000000000000000000000000000000000000000000000000000
χ948-8-888-400-884-84-40000000-400000004-440000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-4004-4444-443−43−434300020000000-22-2000000−232323−23000000000000000000000000000000000000000000000000000000
χ968-8-88-4-4004-4444-4−434343−4300020000000-22-200000023−23−2323000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.