Finite Group Databasebeta

← Group #11882274

Character table — Group #11882274

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222224444444444444444466666688888888888888888888888121212121212121212121212122424242424242424242424243636363648487272
order12223344446666661212121234666121212121212121212121212224444441212121212121212121212121212121212121212124668888121212121212444412121212242424248888121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
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
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ91111111-1-11111111-1-1-1-11-1111111-1-1-1-1-1-1-1-111111-1-11-1-111-1-111-1-111-1-11111-1-1-1-1-11111-1-1-1-111-1-11-11-111-1-111-1-111-1-11-11-1
χ101111111-1-11111111-1-1-1-11-1111111-1-1-1-1-1-1-1-111111-1-11-1-111-1-111-1-111-1-11111-1-1-1-1-111-1-111-1-111-1-11-1-1111-1-1-1-111-1-111-11-11
χ111111111-1-11111111-1-1-1-11-1111111-1-1-1-1-1-1-1-111111-1-1-11-1-1-111-1-11111-1-1-1-1-1-11111-11111-1-1-1-111-1-1-11-11-1-11111-1-111-1-1-11-11
χ121111111-1-11111111-1-1-1-11-1111111-1-1-1-1-1-1-1-111111-1-1-11-1-1-111-1-11111-1-1-1-1-1-11111-111-1-111-1-111-1-1-111-1-1-111-1-111-1-1111-11-1
χ131111111-1-11111111-1-1-1-11-1111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-111-1-111-1-111-1-11111-1-1-1-11-1-111-1-111-1-111-111-1-1-11111-1-1-1-1111-1-11
χ141111111-1-11111111-1-1-1-11-1111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-111-1-111-1-111-1-11111-1-1-1-11-1-1-1-11111-1-111-11-11-1-111-1-11111-1-1-111-1
χ151111111-1-11111111-1-1-1-11-1111111-1-1-1-1-1-1-1-11-1-1-1-111-11-1-1-111-1-11111-1-1-1-1-1-111111-1-111-1-111-1-1111-1-1111-1-111-1-1-1-111-111-1
χ161111111-1-11111111-1-1-1-11-1111111-1-1-1-1-1-1-1-11-1-1-1-111-11-1-1-111-1-11111-1-1-1-1-1-111111-1-1-1-11111-1-1111-11-111-1-1-1-11111-1-11-1-11
χ17222222-222-222222222222-2222-2-2-2-2-2222222-222-2-22200-200000000-2-2-2-200000000-222000022-2-2-2-200000000000000000000
χ18222222-222-222222222222-2222-2-2-2-2-2222222-2-2-222-2-200-200000000-2-2-2-2000000002-2-20000-2-2222200000000000000000000
χ19222222-2-2-2-2222222-2-2-2-222222-2-2-222-2-2-2-2-2-2-222-2-2-2-200200000000-2-222000000002220000-2-2-2-22200000000000000000000
χ20222222-2-2-2-2222222-2-2-2-222222-2-2-222-2-2-2-2-2-2-2-2-2222200200000000-2-22200000000-2-2-200002222-2-200000000000000000000
χ2122222-1222222-1-1-12-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-10000-1-1-1-1-1-12200-1-1-1-1000000000000
χ2222222-1222222-1-1-12-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-12222222-2-22-2-2-2-21111-1-1-1-1111111112-1-10000-1-1-1-1-1-1-2-2001111000000000000
χ2322222-1222222-1-1-12-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-12-2-2-2-2-2-22222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2110000111111-2-2001111000000000000
χ2422222-1222222-1-1-12-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-12-2-2-2-2-2-2-2-22-2-2-2-21111-1-1-1-111111111-21100001111112200-1-1-1-1000000000000
χ2522222-12-2-2222-1-1-121111-1-2-1-1-12-1-111-2-2111122222-2-22-2-222-2-2-1-111-1-111-1-1-1-11111-2-1-1000011-1-1112-200-1-111000000000000
χ2622222-12-2-2222-1-1-121111-1-2-1-1-12-1-111-2-2111122222-2-2-22-2-2-22211-1-1-1-1111111-1-1-1-1-2-1-1000011-1-111-220011-1-1000000000000
χ2722222-12-2-2222-1-1-121111-1-2-1-1-12-1-111-2-211112-2-2-2-2222-2-222-2-2-1-111-1-111-1-1-1-111112110000-1-111-1-1-220011-1-1000000000000
χ2822222-12-2-2222-1-1-121111-1-2-1-1-12-1-111-2-211112-2-2-2-222-22-2-2-22211-1-1-1-1111111-1-1-1-12110000-1-111-1-12-200-1-111000000000000
χ2922222-1-222-222-1-1-12-1-1-1-1-1-2-1-1-1-2111122-1-1-1-1-222-2-22200-20000−i3i3−i3i31111−i3−i3i3i3−i3−i3i3i3-2-1-10000-1-111110000−i3i3−i3i3000000000000
χ3022222-1-222-222-1-1-12-1-1-1-1-1-2-1-1-1-2111122-1-1-1-1-222-2-22200-20000i3−i3i3−i31111i3i3−i3−i3i3i3−i3−i3-2-1-10000-1-111110000i3−i3i3−i3000000000000
χ3122222-1-222-222-1-1-12-1-1-1-1-1-2-1-1-1-2111122-1-1-1-1-2-2-222-2-200-20000−i3i3−i3i31111−i3−i3i3i3−i3−i3i3i3211000011-1-1-1-10000i3−i3i3−i3000000000000
χ3222222-1-222-222-1-1-12-1-1-1-1-1-2-1-1-1-2111122-1-1-1-1-2-2-222-2-200-20000i3−i3i3−i31111i3i3−i3−i3i3i3−i3−i3211000011-1-1-1-10000−i3i3−i3i3000000000000
χ3322222-1-2-2-2-222-1-1-121111-12-1-1-1-211-1-1-2-21111-222-2-2-2-20020000−i3i3i3−i311-1-1−i3−i3i3i3i3i3−i3−i32-1-100001111-1-10000−i3i3i3−i3000000000000
χ3422222-1-2-2-2-222-1-1-121111-12-1-1-1-211-1-1-2-21111-222-2-2-2-20020000i3−i3−i3i311-1-1i3i3−i3−i3−i3−i3i3i32-1-100001111-1-10000i3−i3−i3i3000000000000
χ3522222-1-2-2-2-222-1-1-121111-12-1-1-1-211-1-1-2-21111-2-2-222220020000−i3i3i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-2110000-1-1-1-1110000i3−i3−i3i3000000000000
χ3622222-1-2-2-2-222-1-1-121111-12-1-1-1-211-1-1-2-21111-2-2-222220020000i3−i3−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-2110000-1-1-1-1110000−i3i3i3−i3000000000000
χ372222-122222-1-1222-12222-12-1-1-1-12222-1-1-1-1-1-1-100000022-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000222200000000220000-1-1-1-10000-1-100
χ382222-122222-1-1222-12222-12-1-1-1-12222-1-1-1-1-1-1-100000022-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000-2-2-2-200000000-2-20000111100001100
χ392222-122222-1-1222-12222-12-1-1-1-12222-1-1-1-1-1-1-1000000-2-2-11111-2-2-2-2-1-1-1-111111111000222200000000-2-20000-1-1-1-100001100
χ402222-122222-1-1222-12222-12-1-1-1-12222-1-1-1-1-1-1-1000000-2-2-11111-2-2-2-2-1-1-1-111111111000-2-2-2-20000000022000011110000-1-100
χ412222-122-2-22-1-1222-1-2-2-2-2-1-2-1-1-1-122-2-2111111-10000002-21-1-11122-2-2-1-111-1-1-1-1111100022-2-2000000002-20000-1-1110000-1100
χ422222-122-2-22-1-1222-1-2-2-2-2-1-2-1-1-1-122-2-2111111-10000002-21-1-11122-2-2-1-111-1-1-1-11111000-2-22200000000-22000011-1-100001-100
χ432222-122-2-22-1-1222-1-2-2-2-2-1-2-1-1-1-122-2-2111111-1000000-22111-1-1-2-222-1-1111111-1-1-1-100022-2-200000000-220000-1-11100001-100
χ442222-122-2-22-1-1222-1-2-2-2-2-1-2-1-1-1-122-2-2111111-1000000-22111-1-1-2-222-1-1111111-1-1-1-1000-2-222000000002-2000011-1-10000-1100
χ452-2-222202-20-2-22-2-2222-2-2202-2-2000002-222-2-202-2002-20000000000000000000000002-2−i2i2−i2i22-2000000000000−i2i2−i2i2−i2i2−i2i20000
χ462-2-222202-20-2-22-2-2222-2-2202-2-2000002-222-2-202-2002-20000000000000000000000002-2i2−i2i2−i22-2000000000000i2−i2i2−i2i2−i2i2−i20000
χ472-2-222202-20-2-22-2-2222-2-2202-2-2000002-222-2-20-2200-22000000000000000000000000-22−i2i2−i2i2-22000000000000−i2i2−i2i2i2−i2i2−i20000
χ482-2-222202-20-2-22-2-2222-2-2202-2-2000002-222-2-20-2200-22000000000000000000000000-22i2−i2i2−i2-22000000000000i2−i2i2−i2−i2i2−i2i20000
χ492-2-22220-220-2-22-2-22-2-222202-2-200000-22-2-22202-200-220000000000000000000000002-2−i2i2i2−i2-22000000000000−i2i2i2−i2−i2i2i2−i20000
χ502-2-22220-220-2-22-2-22-2-222202-2-200000-22-2-22202-200-220000000000000000000000002-2i2−i2−i2i2-22000000000000i2−i2−i2i2i2−i2−i2i20000
χ512-2-22220-220-2-22-2-22-2-222202-2-200000-22-2-2220-22002-2000000000000000000000000-22−i2i2i2−i22-2000000000000−i2i2i2−i2i2−i2−i2i20000
χ522-2-22220-220-2-22-2-22-2-222202-2-200000-22-2-2220-22002-2000000000000000000000000-22i2−i2−i2i22-2000000000000i2−i2−i2i2−i2i2i2−i20000
χ534444-24-444-4-2-2444-24444-2-4-2-2-22-4-4-4-4-2-2-2-2-2-2200000000200000000222200000000000000000000000000000000000000000
χ544444-24-4-4-4-4-2-2444-2-4-4-4-4-24-2-2-22-4-444222222200000000-20000000022-2-200000000000000000000000000000000000000000
χ554444-2-24444-2-2-2-2-2-2-2-2-2-214111-2-2-2-2-2-2-21111-200000044-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000
χ564444-2-24444-2-2-2-2-2-2-2-2-2-214111-2-2-2-2-2-2-21111-2000000-4-4-2222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ574444-2-24-4-44-2-2-2-2-2-222221-4111-2-2-22222-1-1-1-1-20000004-42-2-222-2-22211-1-11111-1-1-1-1000000000000000000000000000000000
χ584444-2-24-4-44-2-2-2-2-2-222221-4111-2-2-22222-1-1-1-1-2000000-44222-2-222-2-211-1-1-1-1-1-11111000000000000000000000000000000000
χ594444-2-2-444-4-2-2-2-2-2-2-2-2-2-21-411122222-2-2111120000000020000−2i32i3−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000
χ604444-2-2-444-4-2-2-2-2-2-2-2-2-2-21-411122222-2-21111200000000200002i3−2i32i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000
χ614444-2-2-4-4-4-4-2-2-2-2-2-2222214111222-2-222-1-1-1-1200000000-20000−2i32i32i3−2i3-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000
χ624444-2-2-4-4-4-4-2-2-2-2-2-2222214111222-2-222-1-1-1-1200000000-200002i3−2i3−2i32i3-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000
χ6344-4-44400004-4-44-4-4000040-44-4000000000000004i−4i00000000000000000000000000000000004i−4i0000000000000000000000
χ6444-4-44400004-4-44-4-4000040-44-400000000000000−4i4i0000000000000000000000000000000000−4i4i0000000000000000000000
χ6544-4-44-200004-42-22-423−2323−23-202-22000000023−2323−230004i−4i0000000000000000000000000000000000−2i2i−2i32i300000000000000000000
χ6644-4-44-200004-42-22-423−2323−23-202-22000000023−2323−23000−4i4i00000000000000000000000000000000002i−2i2i3−2i300000000000000000000
χ6744-4-44-200004-42-22-4−2323−2323-202-220000000−2323−23230004i−4i0000000000000000000000000000000000−2i2i2i3−2i300000000000000000000
χ6844-4-44-200004-42-22-4−2323−2323-202-220000000−2323−2323000−4i4i00000000000000000000000000000000002i−2i−2i32i300000000000000000000
χ694-44-444400-4-44-4-44-4000040-4-4444-400000000-4000000000000000004-40000000000000000000000000000000000000000000
χ704-44-444-4004-44-4-44-4000040-4-44-4-4400000000400000000000000000-440000000000000000000000000000000000000000000
χ714-44-44-2400-4-4422-2-423−23−2323-2022-24-2223−230023−23−2323-400000000000000000-2223−2300000000000000000000000000000000000000000
χ724-44-44-2400-4-4422-2-4−232323−23-2022-24-22−232300−232323−23-400000000000000000-22−232300000000000000000000000000000000000000000
χ734-44-44-2-4004-4422-2-423−23−2323-2022-2-42-2−23230023−23−23234000000000000000002-2−232300000000000000000000000000000000000000000
χ744-44-44-2-4004-4422-2-4−232323−23-2022-2-42-223−2300−232323−234000000000000000002-223−2300000000000000000000000000000000000000000
χ754-44-4-24400-42-2-4-4420000-2022-2-24-400000000200000000000−2i32i30000-22000000−2i32i3−2i32i3000000000000000000000000000000000
χ764-44-4-24400-42-2-4-4420000-2022-2-24-4000000002000000000002i3−2i30000-220000002i3−2i32i3−2i3000000000000000000000000000000000
χ774-44-4-24-40042-2-4-4420000-2022-22-4400000000-200000000023−230000002-20023−2323−230000000000000000000000000000000000000
χ784-44-4-24-40042-2-4-4420000-2022-22-4400000000-2000000000−23230000002-200−2323−23230000000000000000000000000000000000000
χ794-44-4-2-2400-42-222-2223−23−232310-1-11-2-2223−2300−333−3200000000000−2i32i300001-1−333i−3i−3i3ii3−i3i3−i3000000000000000000000000000000000
χ804-44-4-2-2400-42-222-2223−23−232310-1-11-2-2223−2300−333−32000000000002i3−2i300001-1−33−3i3i3i−3i−i3i3−i3i3000000000000000000000000000000000
χ814-44-4-2-2400-42-222-22−232323−2310-1-11-2-22−2323003−3−33200000000000−2i32i300001-13−3−3i3i3i−3ii3−i3i3−i3000000000000000000000000000000000
χ824-44-4-2-2400-42-222-22−232323−2310-1-11-2-22−2323003−3−332000000000002i3−2i300001-13−33i−3i−3i3i−i3i3−i3i3000000000000000000000000000000000
χ834-44-4-2-2-40042-222-2223−23−232310-1-1122-2−232300−333−3-200000000023−23000000-113−3−33−333-3-33000000000000000000000000000000000
χ844-44-4-2-2-40042-222-2223−23−232310-1-1122-2−232300−333−3-2000000000−2323000000-113−33−33−3-333-3000000000000000000000000000000000
χ854-44-4-2-2-40042-222-22−232323−2310-1-1122-223−23003−3−33-200000000023−23000000-11−33−33−33-333-3000000000000000000000000000000000
χ864-44-4-2-2-40042-222-22−232323−2310-1-1122-223−23003−3−33-2000000000−2323000000-11−333−33−33-3-33000000000000000000000000000000000
χ874-4-444-204-40-4-4-2224-2-222-20-222000004-4-2-22204-4004-4000000000000000000000000-220000-22000000000000000000000000
χ884-4-444-204-40-4-4-2224-2-222-20-222000004-4-2-2220-4400-440000000000000000000000002-200002-2000000000000000000000000
χ894-4-444-20-440-4-4-222422-2-2-20-22200000-4422-2-204-400-44000000000000000000000000-2200002-2000000000000000000000000
χ904-4-444-20-440-4-4-222422-2-2-20-22200000-4422-2-20-44004-40000000000000000000000002-20000-22000000000000000000000000
χ914-4-44-2404-40224-4-4-244-4-4-20-22200000-22-2-222000000000000000000000000000000000−2i22i2−2i22i200000000000000i2−i2i2−i200000000
χ924-4-44-2404-40224-4-4-244-4-4-20-22200000-22-2-2220000000000000000000000000000000002i2−2i22i2−2i200000000000000−i2i2−i2i200000000
χ934-4-44-240-440224-4-4-2-4-444-20-222000002-222-2-2000000000000000000000000000000000−2i22i22i2−2i200000000000000i2−i2−i2i200000000
χ944-4-44-240-440224-4-4-2-4-444-20-222000002-222-2-20000000000000000000000000000000002i2−2i2−2i22i200000000000000−i2i2i2−i200000000
χ9588-8-8-480000-44-88-840000-404-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-40000-444-44443−4343−4320-22-20000000−2323−2323000000000000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-40000-444-444−4343−434320-22-2000000023−2323−23000000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-408-8044-444-4-4-444202-2-200000-4422-2-2000000000000000000000000000000000000000000000000000000000000000
χ998-8-88-4-40-88044-444-444-4-4202-2-2000004-4-2-222000000000000000000000000000000000000000000000000000000000000000

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