Finite Group Databasebeta

← Group #11878732

Character table — Group #11878732

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222224444444444444444466666688888888888888888888888121212121212121212121212122424242424242424242424243636363648487272
order1222334444666666121212123466612121212121212121212121222444424666666661212121212121212121212121246688881212121212122444661212242424248888121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ9111111-1-111111111-1-1-1-11-1111-1-111-1-11-1-1-1-1111-1-1-1-11-111111111-1-1-1-1-111-1-1-1-1-1-111111-1-111-1-1-1-1-111-1-1-11111-1-111-1-11-11-1
χ10111111-1-111111111-1-1-1-11-1111-1-111-1-11-1-1-1-1111-1-1-1-11-111111111-1-1-1-1-111-1-1-1-1-1-1111-1-11111-1-1-1-1-11-11-1-111-1-111-1-111-11-11
χ11111111-1-111111111-1-1-1-11-1111-1-111-1-11-1-1-1-1111-1-1-1-1-11-1-1-1-1-1-1-1-1-1111111-1-1111111111-1-111-1-1-1-11-1-1111-1-111-1-111-1-1-11-11
χ12111111-1-111111111-1-1-1-11-1111-1-111-1-11-1-1-1-1111-1-1-1-1-11-1-1-1-1-1-1-1-1-1111111-1-11111111-1-11111-1-1-1-11-11-111-1-1-1-111-1-1111-11-1
χ13111111-1-111111111-1-1-1-11-1111-1-111-1-11-1-1-1-11-1-111111-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-111111-11-111-1-111-1-1-1-1111-1-11
χ14111111-1-111111111-1-1-1-11-1111-1-111-1-11-1-1-1-11-1-111111-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1111-1-1-1-11111-1-1-111-1
χ15111111-1-111111111-1-1-1-11-1111-1-111-1-11-1-1-1-11-1-11111-11-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-111-1-1-1-11111-11-11-1-11111-1-1-1-111-111-1
χ16111111-1-111111111-1-1-1-11-1111-1-111-1-11-1-1-1-11-1-11111-11-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-111-1-11111-111-1-1-111-1-11111-1-11-1-11
χ1722222222-2-222222222222-222222-2-2-2-2-22222-222-2-2220000000000-20000-2-2-2-20000-2220000-2-2-2-22200000000000000000000
χ1822222222-2-222222222222-222222-2-2-2-2-22222-2-2-222-2-20000000000-20000-2-2-2-200002-2-200002222-2-200000000000000000000
χ19222222-2-2-2-2222222-2-2-2-222222-2-2-2-222-2-2-2-2-2-22222-2-2000000000020000-2-2220000-2220000-2-222-2-200000000000000000000
χ20222222-2-2-2-2222222-2-2-2-222222-2-2-2-222-2-2-2-2-2-2-2-2-2-222000000000020000-2-22200002-2-2000022-2-22200000000000000000000
χ2122222-1222222-1-1-12-1-1-1-1-12-1-1-122-1-1-1-12-1-1-1-122222222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-1-10000-1-1-1-1-1-12200-1-1-1-1000000000000
χ2222222-1222222-1-1-12-1-1-1-1-12-1-1-122-1-1-1-12-1-1-1-12222222-2-2-2-21111112-2-211-1-1-1-111112-1-10000-1-1-1-1-1-1-2-2001111000000000000
χ2322222-1222222-1-1-12-1-1-1-1-12-1-1-122-1-1-1-12-1-1-1-12-2-2-2-2-2-22222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-2110000111111-2-2001111000000000000
χ2422222-1222222-1-1-12-1-1-1-1-12-1-1-122-1-1-1-12-1-1-1-12-2-2-2-2-2-2-2-2-2-21111112-2-211-1-1-1-11111-21100001111112200-1-1-1-1000000000000
χ2522222-122-2-222-1-1-12-1-1-1-1-1-2-1-1-1221111-2-1-1-1-1-222-2-2220000−i3i3−i3−i3i3i3-200−i3i31111−i3−i3i3i3-2-1-100001111-1-10000−i3i3−i3i3000000000000
χ2622222-122-2-222-1-1-12-1-1-1-1-1-2-1-1-1221111-2-1-1-1-1-222-2-2220000i3−i3i3i3−i3−i3-200i3−i31111i3i3−i3−i3-2-1-100001111-1-10000i3−i3i3−i3000000000000
χ2722222-122-2-222-1-1-12-1-1-1-1-1-2-1-1-1221111-2-1-1-1-1-2-2-222-2-20000−i3i3−i3−i3i3i3-200−i3i31111−i3−i3i3i32110000-1-1-1-1110000i3−i3i3−i3000000000000
χ2822222-122-2-222-1-1-12-1-1-1-1-1-2-1-1-1221111-2-1-1-1-1-2-2-222-2-20000i3−i3i3i3−i3−i3-200i3−i31111i3i3−i3−i32110000-1-1-1-1110000−i3i3−i3i3000000000000
χ2922222-1-2-22222-1-1-121111-1-2-1-1-1-2-2-1-11121111222-2-2-2-22-222-1-1-1-1-1-1-2-2-211-1-11111112-1-10000-1-11111-220011-1-1000000000000
χ3022222-1-2-22222-1-1-121111-1-2-1-1-1-2-2-1-11121111222-2-2-2-2-22-2-2111111-222-1-1-1-111-1-1-1-12-1-10000-1-111112-200-1-111000000000000
χ3122222-1-2-22222-1-1-121111-1-2-1-1-1-2-2-1-111211112-2-222222-222-1-1-1-1-1-1-2-2-211-1-1111111-211000011-1-1-1-12-200-1-111000000000000
χ3222222-1-2-22222-1-1-121111-1-2-1-1-1-2-2-1-111211112-2-22222-22-2-2111111-222-1-1-1-111-1-1-1-1-211000011-1-1-1-1-220011-1-1000000000000
χ3322222-1-2-2-2-222-1-1-121111-12-1-1-1-2-211-1-1-21111-22222-2-20000−i3i3−i3−i3i3i3200i3−i311-1-1i3i3−i3−i3-2-1-1000011-1-1110000i3−i3−i3i3000000000000
χ3422222-1-2-2-2-222-1-1-121111-12-1-1-1-2-211-1-1-21111-22222-2-20000i3−i3i3i3−i3−i3200−i3i311-1-1−i3−i3i3i3-2-1-1000011-1-1110000−i3i3i3−i3000000000000
χ3522222-1-2-2-2-222-1-1-121111-12-1-1-1-2-211-1-1-21111-2-2-2-2-2220000−i3i3−i3−i3i3i3200i3−i311-1-1i3i3−i3−i32110000-1-111-1-10000−i3i3i3−i3000000000000
χ3622222-1-2-2-2-222-1-1-121111-12-1-1-1-2-211-1-1-21111-2-2-2-2-2220000i3−i3i3i3−i3−i3200−i3i311-1-1−i3−i3i3i32110000-1-111-1-10000i3−i3−i3i3000000000000
χ372222-122222-1-1222-12222-12-1-1-1-1-12222-1-1-1-1-1-100000022-1-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000222200000000220000-1-1-1-10000-1-100
χ382222-122222-1-1222-12222-12-1-1-1-1-12222-1-1-1-1-1-100000022-1-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000-2-2-2-200000000-2-20000111100001100
χ392222-122222-1-1222-12222-12-1-1-1-1-12222-1-1-1-1-1-1000000-2-211-2-21111-111-2-2-1-1-1-11111000222200000000-2-20000-1-1-1-100001100
χ402222-122222-1-1222-12222-12-1-1-1-1-12222-1-1-1-1-1-1000000-2-211-2-21111-111-2-2-1-1-1-11111000-2-2-2-20000000022000011110000-1-100
χ412222-12-2-222-1-1222-1-2-2-2-2-1-2-1-1-11122-2-2-11111-10000002-2-1-122-1-1-1-1111-2-2-1-111111100022-2-2000000002-20000-1-1110000-1100
χ422222-12-2-222-1-1222-1-2-2-2-2-1-2-1-1-11122-2-2-11111-10000002-2-1-122-1-1-1-1111-2-2-1-1111111000-2-22200000000-22000011-1-100001-100
χ432222-12-2-222-1-1222-1-2-2-2-2-1-2-1-1-11122-2-2-11111-1000000-2211-2-211111-1-122-1-111-1-1-1-100022-2-200000000-220000-1-11100001-100
χ442222-12-2-222-1-1222-1-2-2-2-2-1-2-1-1-11122-2-2-11111-1000000-2211-2-211111-1-122-1-111-1-1-1-1000-2-222000000002-2000011-1-10000-1100
χ452-22-2222-200-22-2-22-222-2-220-2-222-20000022-2-202-2002-20000000000000000000000002-2−i2i2−i2i200002-200000000−i2i2−i2i2−i2i2−i2i20000
χ462-22-2222-200-22-2-22-222-2-220-2-222-20000022-2-202-2002-20000000000000000000000002-2i2−i2i2−i200002-200000000i2−i2i2−i2i2−i2i2−i20000
χ472-22-2222-200-22-2-22-222-2-220-2-222-20000022-2-20-2200-22000000000000000000000000-22−i2i2−i2i20000-2200000000−i2i2−i2i2i2−i2i2−i20000
χ482-22-2222-200-22-2-22-222-2-220-2-222-20000022-2-20-2200-22000000000000000000000000-22i2−i2i2−i20000-2200000000i2−i2i2−i2−i2i2−i2i20000
χ492-22-222-2200-22-2-22-2-2-22220-2-22-2200000-2-22202-200-220000000000000000000000002-2−i2i2i2−i20000-2200000000−i2i2i2−i2−i2i2i2−i20000
χ502-22-222-2200-22-2-22-2-2-22220-2-22-2200000-2-22202-200-220000000000000000000000002-2i2−i2−i2i20000-2200000000i2−i2−i2i2i2−i2−i2i20000
χ512-22-222-2200-22-2-22-2-2-22220-2-22-2200000-2-2220-22002-2000000000000000000000000-22−i2i2i2−i200002-200000000−i2i2i2−i2i2−i2−i2i20000
χ522-22-222-2200-22-2-22-2-2-22220-2-22-2200000-2-2220-22002-2000000000000000000000000-22i2−i2−i2i200002-200000000i2−i2−i2i2−i2i2i2−i20000
χ534444-2444-4-4-2-2444-24444-2-4-2-2-2-2-2-4-4-4-42-2-2-2-2200000000000000002000022220000000000000000000000000000000000000
χ544444-24-4-4-4-4-2-2444-2-4-4-4-4-24-2-2-222-4-4442222220000000000000000-2000022-2-20000000000000000000000000000000000000
χ554444-2-24444-2-2-2-2-2-2-2-2-2-214111-2-2-2-2-2-2-21111-200000044-2-2-2-21111-2-2-2-2-211111111000000000000000000000000000000000
χ564444-2-24444-2-2-2-2-2-2-2-2-2-214111-2-2-2-2-2-2-21111-2000000-4-42222-1-1-1-1-222221111-1-1-1-1000000000000000000000000000000000
χ574444-2-244-4-4-2-2-2-2-2-2-2-2-2-21-4111-2-222222111120000000000−2i32i3i3i3−i3−i3200−2i32i3-1-1-1-1i3i3−i3−i3000000000000000000000000000000000
χ584444-2-244-4-4-2-2-2-2-2-2-2-2-2-21-4111-2-2222221111200000000002i3−2i3−i3−i3i3i32002i3−2i3-1-1-1-1−i3−i3i3i3000000000000000000000000000000000
χ594444-2-2-4-444-2-2-2-2-2-222221-411122-2-222-2-1-1-1-1-20000004-4-2-2-2-211112222211-1-1-1-1-1-1000000000000000000000000000000000
χ604444-2-2-4-444-2-2-2-2-2-222221-411122-2-222-2-1-1-1-1-2000000-442222-1-1-1-12-2-2-2-211-1-11111000000000000000000000000000000000
χ614444-2-2-4-4-4-4-2-2-2-2-2-22222141112222-2-22-1-1-1-120000000000−2i32i3i3i3−i3−i3-2002i3−2i3-1-111−i3−i3i3i3000000000000000000000000000000000
χ624444-2-2-4-4-4-4-2-2-2-2-2-22222141112222-2-22-1-1-1-1200000000002i3−2i3−i3−i3i3i3-200−2i32i3-1-111i3i3−i3−i3000000000000000000000000000000000
χ6344-4-44400004-44-4-4-40000404-4-4000000000000004-400000000000000000000000000000000004-40000000000000000000000
χ6444-4-44400004-44-4-4-40000404-4-400000000000000-440000000000000000000000000000000000-440000000000000000000000
χ6544-4-44-200004-4-222-423−2323−23-20-222000000023−2323−230004-40000000000000000000000000000000023−23-220000000000000000000000
χ6644-4-44-200004-4-222-423−2323−23-20-222000000023−2323−23000-4400000000000000000000000000000000−23232-20000000000000000000000
χ6744-4-44-200004-4-222-4−2323−2323-20-2220000000−2323−23230004-400000000000000000000000000000000−2323-220000000000000000000000
χ6844-4-44-200004-4-222-4−2323−2323-20-2220000000−2323−2323000-440000000000000000000000000000000023−232-20000000000000000000000
χ694-44-44-24-400-4422-2-4-2-222-2022-24-400000-2-22204-4004-4000000000000000000000000-2200000000-2200000000000000000000
χ704-44-44-24-400-4422-2-4-2-222-2022-24-400000-2-2220-4400-440000000000000000000000002-2000000002-200000000000000000000
χ714-44-44-2-4400-4422-2-422-2-2-2022-2-440000022-2-204-400-44000000000000000000000000-22000000002-200000000000000000000
χ724-44-44-2-4400-4422-2-422-2-2-2022-2-440000022-2-20-44004-40000000000000000000000002-200000000-2200000000000000000000
χ734-44-4-244-4002-2-4-44244-4-4-2022-2-2200000-2-222000000000000000000000000000000000−2i22i2−2i22i200000000000000i2−i2i2−i200000000
χ744-44-4-244-4002-2-4-44244-4-4-2022-2-2200000-2-2220000000000000000000000000000000002i2−2i22i2−2i200000000000000−i2i2−i2i200000000
χ754-44-4-24-44002-2-4-442-4-444-2022-22-20000022-2-2000000000000000000000000000000000−2i22i22i2−2i200000000000000i2−i2−i2i200000000
χ764-44-4-24-44002-2-4-442-4-444-2022-22-20000022-2-20000000000000000000000000000000002i2−2i2−2i22i200000000000000−i2i2i2−i200000000
χ774-4-4444004-4-4-4-44-44000040-44-4004-400-4000040000000000000000000004-4000000000000000000000000000000000000000
χ784-4-444400-44-4-4-44-44000040-44-400-440040000-4000000000000000000000-44000000000000000000000000000000000000000
χ794-4-444-2004-4-4-42-22423−23−2323-202-2200-2223−23-423−23−23234000000000000000000000-2223−230000000000000000000000000000000000000
χ804-4-444-2004-4-4-42-224−232323−23-202-2200-22−2323-4−232323−234000000000000000000000-22−23230000000000000000000000000000000000000
χ814-4-444-200-44-4-42-22423−23−2323-202-22002-2−2323423−23−2323-40000000000000000000002-2−23230000000000000000000000000000000000000
χ824-4-444-200-44-4-42-224−232323−23-202-22002-223−234−232323−23-40000000000000000000002-223−230000000000000000000000000000000000000
χ834-4-44-24004-422-44-4-20000-202-22004-40020000-200000000−2i32i300−2i32i3−2i32i300000-22000000000000000000000000000000000000000
χ844-4-44-24004-422-44-4-20000-202-22004-40020000-2000000002i3−2i3002i3−2i32i3−2i300000-22000000000000000000000000000000000000000
χ854-4-44-2400-4422-44-4-20000-202-2200-4400-2000020000000000000000023−23002-20023−2323−23000000000000000000000000000000000
χ864-4-44-2400-4422-44-4-20000-202-2200-4400-20000200000000000000000−2323002-200−2323−2323000000000000000000000000000000000
χ874-4-44-2-2004-4222-22-223−23−232310-11-100-2223−232−333−3-200000000−2i32i300i3−i3i3−i3000001-1−333i−3i−3i3i000000000000000000000000000000000
χ884-4-44-2-2004-4222-22-223−23−232310-11-100-2223−232−333−3-2000000002i3−2i300−i3i3−i3i3000001-1−33−3i3i3i−3i000000000000000000000000000000000
χ894-4-44-2-2004-4222-22-2−232323−2310-11-100-22−232323−3−33-200000000−2i32i300i3−i3i3−i3000001-13−3−3i3i3i−3i000000000000000000000000000000000
χ904-4-44-2-2004-4222-22-2−232323−2310-11-100-22−232323−3−33-2000000002i3−2i300−i3i3−i3i3000001-13−33i−3i−3i3i000000000000000000000000000000000
χ914-4-44-2-200-44222-22-223−23−232310-11-1002-2−2323-2−333−320000000000003-3-33023−2300-113−3−33−33000000000000000000000000000000000
χ924-4-44-2-200-44222-22-223−23−232310-11-1002-2−2323-2−333−32000000000000-333-30−232300-113−33−33−3000000000000000000000000000000000
χ934-4-44-2-200-44222-22-2−232323−2310-11-1002-223−23-23−3−3320000000000003-3-330−232300-11−333−33−3000000000000000000000000000000000
χ944-4-44-2-200-44222-22-2−232323−2310-11-1002-223−23-23−3−332000000000000-333-3023−2300-11−33−33−33000000000000000000000000000000000
χ9588-8-8-480000-448-8-840000-40-44400000000000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-40000-44-444443−4343−43202-2-20000000−2323−2323000000000000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-40000-44-4444−4343−4343202-2-2000000023−2323−23000000000000000000000000000000000000000000000000000000000000000
χ988-88-8-4-48-8004-444-44-4-44420-2-22-440000022-2-2000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4-88004-444-4444-4-420-2-224-400000-2-222000000000000000000000000000000000000000000000000000000000000000

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