Finite Group Databasebeta

← Group #11878922

Character table — Group #11878922

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222224444444444444444466666688888888888888888888888121212121212121212121212122424242424242424242424243636363648487272
order12223344446666661212121234666121212121212121212121212224444441212121212121212121212121212121212121212124668888121212121212444412121212242424248888121244
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
χ9111111-1-111111111-1-1-1-11-1111-1-111-1-11-1-1-1-1111-1-1-1-11-1-11111-1-1-1-111-1-11111-1-1-1-111111-1-1-1-111-1-1-111-111-1-111-1-111-1-11-11-1
χ10111111-1-111111111-1-1-1-11-1111-1-111-1-11-1-1-1-1111-1-1-1-11-1-11111-1-1-1-111-1-11111-1-1-1-1111-1-111-1-111-1-1-11-1111-1-1-1-111-1-111-11-11
χ11111111-1-111111111-1-1-1-11-1111-1-111-1-11-1-1-1-1111-1-1-1-1-11-1-1-1-1-1111111-1-1-1-1-1-1111111111-1-1-1-111-1-11-1-11-1-11111-1-111-1-1-11-11
χ12111111-1-111111111-1-1-1-11-1111-1-111-1-11-1-1-1-1111-1-1-1-1-11-1-1-1-1-1111111-1-1-1-1-1-11111111-1-111-1-111-1-11-11-1-1-111-1-111-1-1111-11-1
χ13111111-1-111111111-1-1-1-11-1111-1-111-1-11-1-1-1-11-1-111111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-111-1-1111-11-1-1-11111-1-1-1-1111-1-11
χ14111111-1-111111111-1-1-1-11-1111-1-111-1-11-1-1-1-11-1-111111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11111-1-1111-1-11-1-111-1-11111-1-1-111-1
χ15111111-1-111111111-1-1-1-11-1111-1-111-1-11-1-1-1-11-1-11111-11-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-111-1-111-1-111-11-1111-1-111-1-1-1-111-111-1
χ16111111-1-111111111-1-1-1-11-1111-1-111-1-11-1-1-1-11-1-11111-11-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-11111-1-111-111-111-1-1-1-11111-1-11-1-11
χ1722222222-2-222222222222-222222-2-2-2-2-22222-22222-2-200-200000000-2-2-2-200000000-222000022-2-2-2-200000000000000000000
χ1822222222-2-222222222222-222222-2-2-2-2-22222-2-2-2-2-22200-200000000-2-2-2-2000000002-2-20000-2-2222200000000000000000000
χ19222222-2-2-2-2222222-2-2-2-222222-2-2-2-222-2-2-2-2-2-222-2-22200200000000-2-22200000000-2220000-2-2-2-22200000000000000000000
χ20222222-2-2-2-2222222-2-2-2-222222-2-2-2-222-2-2-2-2-2-2-2-222-2-200200000000-2-222000000002-2-200002222-2-200000000000000000000
χ2122222-1222222-1-1-12-1-1-1-1-12-1-1-122-1-1-1-12-1-1-1-1222222222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12-1-10000-1-1-1-1-1-12200-1-1-1-1000000000000
χ2222222-1222222-1-1-12-1-1-1-1-12-1-1-122-1-1-1-12-1-1-1-12222222-2-22-2-21111-2-2-1-1-1-1111111112-1-10000-1-1-1-1-1-1-2-2001111000000000000
χ2322222-1222222-1-1-12-1-1-1-1-12-1-1-122-1-1-1-12-1-1-1-12-2-2-2-2-2-222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2110000111111-2-2001111000000000000
χ2422222-1222222-1-1-12-1-1-1-1-12-1-1-122-1-1-1-12-1-1-1-12-2-2-2-2-2-2-2-22-2-21111-2-2-1-1-1-111111111-21100001111112200-1-1-1-1000000000000
χ2522222-122-2-222-1-1-12-1-1-1-1-1-2-1-1-1221111-2-1-1-1-1-22222-2-200-200−i3i3−i3i3001111−i3−i3i3i3−i3−i3i3i3-2-1-10000-1-111110000−i3i3−i3i3000000000000
χ2622222-122-2-222-1-1-12-1-1-1-1-1-2-1-1-1221111-2-1-1-1-1-22222-2-200-200i3−i3i3−i3001111i3i3−i3−i3i3i3−i3−i3-2-1-10000-1-111110000i3−i3i3−i3000000000000
χ2722222-122-2-222-1-1-12-1-1-1-1-1-2-1-1-1221111-2-1-1-1-1-2-2-2-2-22200-200−i3i3−i3i3001111−i3−i3i3i3−i3−i3i3i3211000011-1-1-1-10000i3−i3i3−i3000000000000
χ2822222-122-2-222-1-1-12-1-1-1-1-1-2-1-1-1221111-2-1-1-1-1-2-2-2-2-22200-200i3−i3i3−i3001111i3i3−i3−i3i3i3−i3−i3211000011-1-1-1-10000−i3i3−i3i3000000000000
χ2922222-1-2-22222-1-1-121111-1-2-1-1-1-2-2-1-11121111222-2-2-2-22-2-222-1-111-2-2-1-111-1-1-1-111112-1-1000011-1-111-2200-1-111000000000000
χ3022222-1-2-22222-1-1-121111-1-2-1-1-1-2-2-1-11121111222-2-2-2-2-22-2-2-211-1-122-1-1111111-1-1-1-12-1-1000011-1-1112-20011-1-1000000000000
χ3122222-1-2-22222-1-1-121111-1-2-1-1-1-2-2-1-111211112-2-222222-2-222-1-111-2-2-1-111-1-1-1-11111-2110000-1-111-1-12-20011-1-1000000000000
χ3222222-1-2-22222-1-1-121111-1-2-1-1-1-2-2-1-111211112-2-22222-22-2-2-211-1-122-1-1111111-1-1-1-1-2110000-1-111-1-1-2200-1-111000000000000
χ3322222-1-2-2-2-222-1-1-121111-12-1-1-1-2-211-1-1-21111-222-2-22200200−i3i3i3−i30011-1-1−i3−i3i3i3i3i3−i3−i3-2-1-100001111-1-10000−i3i3i3−i3000000000000
χ3422222-1-2-2-2-222-1-1-121111-12-1-1-1-2-211-1-1-21111-222-2-22200200i3−i3−i3i30011-1-1i3i3−i3−i3−i3−i3i3i3-2-1-100001111-1-10000i3−i3−i3i3000000000000
χ3522222-1-2-2-2-222-1-1-121111-12-1-1-1-2-211-1-1-21111-2-2-222-2-200200−i3i3i3−i30011-1-1−i3−i3i3i3i3i3−i3−i32110000-1-1-1-1110000i3−i3−i3i3000000000000
χ3622222-1-2-2-2-222-1-1-121111-12-1-1-1-2-211-1-1-21111-2-2-222-2-200200i3−i3−i3i30011-1-1i3i3−i3−i3−i3−i3i3i32110000-1-1-1-1110000−i3i3i3−i3000000000000
χ372222-122222-1-1222-12222-12-1-1-1-1-12222-1-1-1-1-1-100000022-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000222200000000220000-1-1-1-10000-1-100
χ382222-122222-1-1222-12222-12-1-1-1-1-12222-1-1-1-1-1-100000022-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000-2-2-2-200000000-2-20000111100001100
χ392222-122222-1-1222-12222-12-1-1-1-1-12222-1-1-1-1-1-1000000-2-2-111-2-2-2-211-1-1-1-111111111000222200000000-2-20000-1-1-1-100001100
χ402222-122222-1-1222-12222-12-1-1-1-1-12222-1-1-1-1-1-1000000-2-2-111-2-2-2-211-1-1-1-111111111000-2-2-2-20000000022000011110000-1-100
χ412222-12-2-222-1-1222-1-2-2-2-2-1-2-1-1-11122-2-2-11111-10000002-21-1-122-2-211-1-111-1-1-1-1111100022-2-2000000002-20000-1-1110000-1100
χ422222-12-2-222-1-1222-1-2-2-2-2-1-2-1-1-11122-2-2-11111-10000002-21-1-122-2-211-1-111-1-1-1-11111000-2-22200000000-22000011-1-100001-100
χ432222-12-2-222-1-1222-1-2-2-2-2-1-2-1-1-11122-2-2-11111-1000000-22111-2-222-1-1-1-1111111-1-1-1-100022-2-200000000-220000-1-11100001-100
χ442222-12-2-222-1-1222-1-2-2-2-2-1-2-1-1-11122-2-2-11111-1000000-22111-2-222-1-1-1-1111111-1-1-1-1000-2-222000000002-2000011-1-10000-1100
χ4522-2-2222-2002-22-2-2-222-2-2202-2-22-20000022-2-202-22-2000000000000000000000000002-22−22−22-20000000000002−22−22−22−20000
χ4622-2-2222-2002-22-2-2-222-2-2202-2-22-20000022-2-202-22-2000000000000000000000000002-2−22−222-2000000000000−22−22−22−220000
χ4722-2-2222-2002-22-2-2-222-2-2202-2-22-20000022-2-20-22-2200000000000000000000000000-222−22−2-220000000000002−22−2−22−220000
χ4822-2-2222-2002-22-2-2-222-2-2202-2-22-20000022-2-20-22-2200000000000000000000000000-22−22−22-22000000000000−22−222−22−20000
χ4922-2-222-22002-22-2-2-2-2-222202-2-2-2200000-2-22202-2-22000000000000000000000000002-22−2−22-220000000000002−2−222−2−220000
χ5022-2-222-22002-22-2-2-2-2-222202-2-2-2200000-2-22202-2-22000000000000000000000000002-2−222−2-22000000000000−222−2−222−20000
χ5122-2-222-22002-22-2-2-2-2-222202-2-2-2200000-2-2220-222-200000000000000000000000000-222−2−222-20000000000002−2−22−222−20000
χ5222-2-222-22002-22-2-2-2-2-222202-2-2-2200000-2-2220-222-200000000000000000000000000-22−222−22-2000000000000−222−22−2−220000
χ534444-2444-4-4-2-2444-24444-2-4-2-2-2-2-2-4-4-4-42-2-2-2-2200000000200000000222200000000000000000000000000000000000000000
χ544444-24-4-4-4-4-2-2444-2-4-4-4-4-24-2-2-222-4-44422222200000000-20000000022-2-200000000000000000000000000000000000000000
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
χ574444-2-244-4-4-2-2-2-2-2-2-2-2-2-21-4111-2-2222221111200000000200−2i32i3−2i32i300-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000
χ584444-2-244-4-4-2-2-2-2-2-2-2-2-2-21-4111-2-22222211112000000002002i3−2i32i3−2i300-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000
χ594444-2-2-4-444-2-2-2-2-2-222221-411122-2-222-2-1-1-1-1-20000004-42-2-2-2-2222211-1-11111-1-1-1-1000000000000000000000000000000000
χ604444-2-2-4-444-2-2-2-2-2-222221-411122-2-222-2-1-1-1-1-2000000-4422222-2-2-2-211-1-1-1-1-1-11111000000000000000000000000000000000
χ614444-2-2-4-4-4-4-2-2-2-2-2-22222141112222-2-22-1-1-1-1200000000-200−2i32i32i3−2i300-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000
χ624444-2-2-4-4-4-4-2-2-2-2-2-22222141112222-2-22-1-1-1-1200000000-2002i3−2i3−2i32i300-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000
χ6344-4-44-24-4004-4-222-4-2-222-20-2224-400000-2-22204-44-400000000000000000000000000-220000-22000000000000000000000000
χ6444-4-44-24-4004-4-222-4-2-222-20-2224-400000-2-2220-44-44000000000000000000000000002-200002-2000000000000000000000000
χ6544-4-44-2-44004-4-222-422-2-2-20-222-440000022-2-204-4-4400000000000000000000000000-2200002-2000000000000000000000000
χ6644-4-44-2-44004-4-222-422-2-2-20-222-440000022-2-20-444-4000000000000000000000000002-20000-22000000000000000000000000
χ6744-4-4-244-400-224-4-4244-4-4-20-222-2200000-2-22200000000000000000000000000000000022−2222−2200000000000000−22−2200000000
χ6844-4-4-244-400-224-4-4244-4-4-20-222-2200000-2-222000000000000000000000000000000000−2222−2222000000000000002−22−200000000
χ6944-4-4-24-4400-224-4-42-4-444-20-2222-20000022-2-200000000000000000000000000000000022−22−222200000000000000−222−200000000
χ7044-4-4-24-4400-224-4-42-4-444-20-2222-20000022-2-2000000000000000000000000000000000−222222−22000000000000002−2−2200000000
χ714-44-4440000-44-44-4-4000040-44-400000000000000004-400000000000000000000000000000000004-400000000000000000000
χ724-44-4440000-44-44-4-4000040-44-40000000000000000-440000000000000000000000000000000000-4400000000000000000000
χ734-44-44-20000-442-22-423−2323−23-202-22000000023−2323−23000004-40000000000000000000000000000000023−23-2200000000000000000000
χ744-44-44-20000-442-22-423−2323−23-202-22000000023−2323−2300000-4400000000000000000000000000000000−23232-200000000000000000000
χ754-44-44-20000-442-22-4−2323−2323-202-220000000−2323−2323000004-400000000000000000000000000000000−2323-2200000000000000000000
χ764-44-44-20000-442-22-4−2323−2323-202-220000000−2323−232300000-440000000000000000000000000000000023−232-200000000000000000000
χ774-4-4444004-4-4-4-4-444000040-4-44004-400-400004000000000000000004-40000000000000000000000000000000000000000000
χ784-4-444400-44-4-4-4-444000040-4-4400-440040000-400000000000000000-440000000000000000000000000000000000000000000
χ794-4-444-2004-4-4-422-2423−23−2323-2022-200-2223−23-423−23−2323400000000000000000-2223−2300000000000000000000000000000000000000000
χ804-4-444-2004-4-4-422-24−232323−23-2022-200-22−2323-4−232323−23400000000000000000-22−232300000000000000000000000000000000000000000
χ814-4-444-200-44-4-422-2423−23−2323-2022-2002-2−2323423−23−2323-4000000000000000002-2−232300000000000000000000000000000000000000000
χ824-4-444-200-44-4-422-24−232323−23-2022-2002-223−234−232323−23-4000000000000000002-223−2300000000000000000000000000000000000000000
χ834-4-44-24004-422-4-44-20000-2022-2004-40020000-2000000000000000−2i32i3-22000000−2i32i3−2i32i3000000000000000000000000000000000
χ844-4-44-24004-422-4-44-20000-2022-2004-40020000-20000000000000002i3−2i3-220000002i3−2i32i3−2i3000000000000000000000000000000000
χ854-4-44-2400-4422-4-44-20000-2022-200-4400-20000200000000023−230000002-20023−2323−230000000000000000000000000000000000000
χ864-4-44-2400-4422-4-44-20000-2022-200-4400-200002000000000−23230000002-200−2323−23230000000000000000000000000000000000000
χ874-4-44-2-2004-42222-2-223−23−232310-1-1100-2223−232−333−3-2000000000000000−2i32i31-1−333i−3i−3i3ii3−i3i3−i3000000000000000000000000000000000
χ884-4-44-2-2004-42222-2-223−23−232310-1-1100-2223−232−333−3-20000000000000002i3−2i31-1−33−3i3i3i−3i−i3i3−i3i3000000000000000000000000000000000
χ894-4-44-2-2004-42222-2-2−232323−2310-1-1100-22−232323−3−33-2000000000000000−2i32i31-13−3−3i3i3i−3ii3−i3i3−i3000000000000000000000000000000000
χ904-4-44-2-2004-42222-2-2−232323−2310-1-1100-22−232323−3−33-20000000000000002i3−2i31-13−33i−3i−3i3i−i3i3−i3i3000000000000000000000000000000000
χ914-4-44-2-200-442222-2-223−23−232310-1-11002-2−2323-2−333−3200000000023−23000000-113−3−33−333-3-33000000000000000000000000000000000
χ924-4-44-2-200-442222-2-223−23−232310-1-11002-2−2323-2−333−32000000000−2323000000-113−33−33−3-333-3000000000000000000000000000000000
χ934-4-44-2-200-442222-2-2−232323−2310-1-11002-223−23-23−3−33200000000023−23000000-11−33−33−33-333-3000000000000000000000000000000000
χ944-4-44-2-200-442222-2-2−232323−2310-1-11002-223−23-23−3−332000000000−2323000000-11−333−33−33-3-33000000000000000000000000000000000
χ9588-8-8-4-48-800-44-4444-4-444202-2-2-440000022-2-2000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-4-8800-44-444444-4-4202-2-24-400000-2-222000000000000000000000000000000000000000000000000000000000000000
χ978-88-8-4800004-4-88-840000-404-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-8-4-400004-44-44443−4343−4320-22-20000000−2323−2323000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-400004-44-444−4343−434320-22-2000000023−2323−23000000000000000000000000000000000000000000000000000000000000000

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