Finite Group Databasebeta

← Group #11895957

Character table — Group #11895957

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222444444444444444444444444668888888888888888888881212121212121212122424242424242424242424242424243636363648487272
order12223344666666344446661212121212121212121212121212121244412121212121212121212121212121212121212124448812121212224481212121212122424242444886628
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-11111-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1111111111111111111111-1-1-111-1-1-1-111-1-11-1-1-1-1-1-11111-1-1-1-111-1-1
χ411111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111111111111-1-1111-1-11111111-1-1-1-1-1-1111-111-1-1-1-1-1-1111111-1-1-1-1-1-11-1-111-1-1111-11-1-1111-1-1-111-1-111111-1-1-1
χ611111111111111111-1-1111-1-11111111-1-1-1-1-1-1111-111-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1-1-111-111-11111-1-1-1-1-111-1-1-1-1-1111
χ711111111111111111-1-1111-1-11111111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1111111-1-11-1-11-1-1-1-111111-1-1-1-1-1-11-111
χ811111111111111111-1-1111-1-11111111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-111-1-1-11-111-1-1-1111-1-1111111-11-1-1
χ9111111111111111-1-11111111111-1-1-1-1111111111-1-1-11-1-11-1-111-1-1-1-111-1-1-1-1111111111-1-1-1-111-1-11-1-11111-1-111-1-1-11
χ10111111111111111-1-11111111111-1-1-1-1111111111-1-1-11-1-11-1-111-1-1-1-111-1-1-1-1111-1-1111111-1-1-11-1-11-1-1-1-1-1-111-1-1111-1
χ11111111111111111-1-11111111111-1-1-1-11111111-1-1-1-1-11-1-11-1-111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1111-111-111111111-1-1-1-11-1
χ12111111111111111-1-11111111111-1-1-1-11111111-1-1-1-1-11-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-1-1-1-1-11111-11
χ13111111111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-111-11111-1-1-1-1-1-111111-1-111-1-111-11-11-11-1-1-11111-1-1-1-111-111-1
χ14111111111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-111-11111-1-1-1-1-1-111111-1-1-1-1-1-1111-1-1111-1-1-111-1-11111-1-11-1-11
χ15111111111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-111-11111-1-1-1-1-1-11111-1111111-1-1-111-1-1-1111-1-111-1-111-1-1-11-11
χ16111111111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-111-11111-1-1-1-1-1-11111-111-1-111-1-11-11-11-1111-1-1-1-111-1-1111-11-1
χ17222222-2-22222222002-222222-2-2-20000222222-222000-200-200-2-20000-2-20000-22-200222200000-200-200000000000000
χ18222222-2-22222222002-222222-2-2-20000222222-2-2-2000-200-200-2-20000-2-200002-2200-2-2-2-200000200200000000000000
χ19222222-2-2222222200-22222-2-2-2-2-20000-2-2-2-2-2-2-222000200200-2-20000220000-2-2200-2-22200000-200200000000000000
χ20222222-2-2222222200-22222-2-2-2-2-20000-2-2-2-2-2-2-2-2-2000200200-2-2000022000022-20022-2-200000200-200000000000000
χ2122222-122-12-1-122-12222-1-1-1-1-122-1222222-1-1-1-1-1002-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100022000022002000000-1-1-1-10000-1-100
χ2222222-122-12-1-122-12222-1-1-1-1-122-1222222-1-1-1-1-1002-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1000-2-20000-2-200-2000000111100001100
χ2322222-122-12-1-122-122-2-2-1-1-11122-12222-2-21111-100-2-1-1111-2-2-2-1-1-1-1-1-11111110002200002-200-2000000-1-1110000-1100
χ2422222-122-12-1-122-122-2-2-1-1-11122-12222-2-21111-100-2-1-1111-2-2-2-1-1-1-1-1-1111111000-2-20000-2200200000011-1-100001-100
χ2522222-122-12-1-122-1-2-222-1-1-1-1-122-1-2-2-2-222-1-1-1-1-100-211-1112-2-2-1-11111-1-11111000220000-2-2002000000-1-1-1-100001100
χ2622222-122-12-1-122-1-2-222-1-1-1-1-122-1-2-2-2-222-1-1-1-1-100-211-1112-2-2-1-11111-1-11111000-2-200002200-200000011110000-1-100
χ2722222-122-12-1-122-1-2-2-2-2-1-1-11122-1-2-2-2-2-2-21111-1002111-1-1-222-1-1111111-1-1-1-1000220000-2200-2000000-1-11100001-100
χ2822222-122-12-1-122-1-2-2-2-2-1-1-11122-1-2-2-2-2-2-21111-1002111-1-1-222-1-1111111-1-1-1-1000-2-200002-200200000011-1-10000-1100
χ292222-12222-122-1-1-12222-1-1-122-1-12-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122200-1-1-1-100220-1-1-1-1-1-1000000000000
χ302222-12222-122-1-1-12222-1-1-122-1-12-1-1-1-1-1-1-1-1-1-12-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-200111100-2-20111111000000000000
χ312222-12222-122-1-1-122-2-2-1-1-1-2-2-1-12-1-1-1-1111111222-222-2-2-2111-1-1-1-1-1-11111112-2-20011-1-1002-20-1-1-1111000000000000
χ322222-12222-122-1-1-122-2-2-1-1-1-2-2-1-12-1-1-1-11111112-2-2-222-2-2-2111-1-1-1-1-1-1111111-22200-1-11100-220111-1-1-1000000000000
χ332222-12222-122-1-1-1-2-222-1-1-122-1-121111-1-1-1-1-1-1222-2-2-22-2-2-111-1-11111-1-1111122200-1-1-1-100-2-20-111-111000000000000
χ342222-12222-122-1-1-1-2-222-1-1-122-1-121111-1-1-1-1-1-12-2-2-2-2-22-2-2-111-1-11111-1-11111-2-2-2001111002201-1-11-1-1000000000000
χ352222-12222-122-1-1-1-2-2-2-2-1-1-1-2-2-1-1211111111112222-2-2-2221-1-1-1-1111111-1-1-1-12-2-20011-1-100-220-1111-1-1000000000000
χ362222-12222-122-1-1-1-2-2-2-2-1-1-1-2-2-1-1211111111112-2-22-2-2-2221-1-1-1-1111111-1-1-1-1-22200-1-111002-201-1-1-111000000000000
χ372222-12-2-22-122-1-1-1002-2-1-1-12211-2−i3−i3i3i3-1-1-1-1-1-1-222000-2001−i3i311−i3−i3i3i311−i3−i3i3i3-22-200-1-1-1-1000001−i3i31−i3i3000000000000
χ382222-12-2-22-122-1-1-1002-2-1-1-12211-2−i3−i3i3i3-1-1-1-1-1-1-2-2-2000-2001−i3i311−i3−i3i3i311−i3−i3i3i32-2200111100000-1i3−i3-1i3−i3000000000000
χ392222-12-2-22-122-1-1-1002-2-1-1-12211-2i3i3−i3−i3-1-1-1-1-1-1-222000-2001i3−i311i3i3−i3−i311i3i3−i3−i3-22-200-1-1-1-1000001i3−i31i3−i3000000000000
χ402222-12-2-22-122-1-1-1002-2-1-1-12211-2i3i3−i3−i3-1-1-1-1-1-1-2-2-2000-2001i3−i311i3i3−i3−i311i3i3−i3−i32-2200111100000-1−i3i3-1−i3i3000000000000
χ412222-12-2-22-122-1-1-100-22-1-1-1-2-211-2−i3−i3i3i3111111-222000200-1i3−i311−i3−i3i3i3-1-1i3i3−i3−i3-2-220011-1-1000001−i3i3-1i3−i3000000000000
χ422222-12-2-22-122-1-1-100-22-1-1-1-2-211-2−i3−i3i3i3111111-2-2-2000200-1i3−i311−i3−i3i3i3-1-1i3i3−i3−i322-200-1-11100000-1i3−i31−i3i3000000000000
χ432222-12-2-22-122-1-1-100-22-1-1-1-2-211-2i3i3−i3−i3111111-222000200-1−i3i311i3i3−i3−i3-1-1−i3−i3i3i3-2-220011-1-1000001i3−i3-1−i3i3000000000000
χ442222-12-2-22-122-1-1-100-22-1-1-1-2-211-2i3i3−i3−i3111111-2-2-2000200-1−i3i311i3i3−i3−i3-1-1−i3−i3i3i322-200-1-11100000-1−i3i31i3−i3000000000000
χ4522-2-222-22-222-2-2-222-200-22-2002-2-22-22-200000020002-20000002-22-22-20000000000000000000000000000002i−2i2i−2i0000
χ4622-2-222-22-222-2-2-222-200-22-2002-2-22-22-200000020002-20000002-22-22-2000000000000000000000000000000−2i2i−2i2i0000
χ4722-2-222-22-222-2-2-22-2200-22-2002-2-2-22-220000002000-220000002-2-22-220000000000000000000000000000002i−2i−2i2i0000
χ4822-2-222-22-222-2-2-22-2200-22-2002-2-2-22-220000002000-220000002-2-22-22000000000000000000000000000000−2i2i2i−2i0000
χ4944444-2-4-4-24-2-244-2004-4-2-2-2-2-2-4-42000044-2-2-2-2200000200-40022000022000000000000000000000000000000000000
χ5044444-2-4-4-24-2-244-200-44-2-2-222-4-420000-4-42222200000-200400220000-2-2000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-214444111-2-2-2-2-2-2-2-2-2-2-21111-2004-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-2144-4-411122-2-2-2-2-2-2-222-1-1-1-1-200-4-2-2222222111111-1-1-1-1-1-100000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-21-4-444111-2-2-2-2-22222-2-21111-200-422-222-22211-1-1-1-111-1-1-1-100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-21-4-4-4-411122-2-2-2222222-1-1-1-1-2004222-2-22-2-211-1-1-1-1-1-1111100000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-21004-4111-2-2222−2i3−2i32i32i3-2-211112000002002−2i32i3-1-1i3i3−i3−i3-1-1i3i3−i3−i300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-21004-4111-2-22222i32i3−2i3−2i3-2-2111120000020022i3−2i3-1-1−i3−i3i3i3-1-1−i3−i3i3i300000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-2100-4411122222−2i3−2i32i32i322-1-1-1-1200000-200-22i3−2i3-1-1i3i3−i3−i311−i3−i3i3i300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-2100-44111222222i32i3−2i3−2i322-1-1-1-1200000-200-2−2i32i3-1-1−i3−i3i3i311i3i3−i3−i300000000000000000000000000000000
χ5944-4-4444-4-444-4-4-440000-44-400-4440000000000-400000000000-44000000000000000000000000000000000000000000
χ6044-4-44-24-424-22-4-4-200002-2200-44-20000000000200000023−230002-200000023−2323−2300000000000000000000000000000000
χ6144-4-44-24-424-22-4-4-200002-2200-44-200000000002000000−23230002-2000000−2323−232300000000000000000000000000000000
χ6244-4-44-2-4424-22-4-4-24-4002-22004-424-44-4000000-2000-22000000-22-22-2200000000000000000000000000000000000000
χ6344-4-44-2-4424-22-4-4-2-44002-22004-42-44-44000000-20002-2000000-222-22-200000000000000000000000000000000000000
χ6444-4-4-244-4-4-24-422-200002-22002-24−2i32i32i3−2i3000000-4000000000002-2−2i32i32i3−2i300000000000000000000000000000000000000
χ6544-4-4-244-4-4-24-422-200002-22002-242i3−2i3−2i32i3000000-4000000000002-22i3−2i3−2i32i300000000000000000000000000000000000000
χ6644-4-4-24-44-4-24-422-24-4002-2200-22-4-22-2200000040004-4000000-22-22-2200000000000000000000000000000000000000
χ6744-4-4-24-44-4-24-422-2-44002-2200-22-42-22-20000004000-44000000-222-22-200000000000000000000000000000000000000
χ6844-4-4-2-24-42-2-222210000-11-1002-2-2−2i32i32i3−2i3003i3i−3i−3i200000023−23000-11i3−i3−i3i33i−3i−33−3300000000000000000000000000000000
χ6944-4-4-2-24-42-2-222210000-11-1002-2-2−2i32i32i3−2i300−3i−3i3i3i2000000−2323000-11i3−i3−i3i3−3i3i3−33−300000000000000000000000000000000
χ7044-4-4-2-24-42-2-222210000-11-1002-2-22i3−2i3−2i32i3003i3i−3i−3i2000000−2323000-11−i3i3i3−i33i−3i3−33−300000000000000000000000000000000
χ7144-4-4-2-24-42-2-222210000-11-1002-2-22i3−2i3−2i32i300−3i−3i3i3i200000023−23000-11−i3i3i3−i3−3i3i−33−3300000000000000000000000000000000
χ7244-4-4-2-2-442-2-222214-400-11-100-222-22-22003i3i−3i−3i-2000-220000001-11-11-1−3i3i−3i3i3i−3i00000000000000000000000000000000
χ7344-4-4-2-2-442-2-222214-400-11-100-222-22-2200−3i−3i3i3i-2000-220000001-11-11-13i−3i3i−3i−3i3i00000000000000000000000000000000
χ7444-4-4-2-2-442-2-22221-4400-11-100-2222-22-2003i3i−3i−3i-20002-20000001-1-11-11−3i3i3i−3i−3i3i00000000000000000000000000000000
χ7544-4-4-2-2-442-2-22221-4400-11-100-2222-22-200−3i−3i3i3i-20002-20000001-1-11-113i−3i−3i3i3i−3i00000000000000000000000000000000
χ764-44-444004-4-4-44-4400004-4-4000000000000000000000000000000000000000000−2i22i2000000000000000−2i22i20000000000
χ774-44-444004-4-4-44-4400004-4-40000000000000000000000000000000000000000002i2−2i20000000000000002i2−2i20000000000
χ784-44-44-200-2-4224-4-20000-222−2i32i3000000000−2i32i3−2i32i3000000000000000000000000000−2i22i2000000000000000i2−i26−600000000
χ794-44-44-200-2-4224-4-20000-222−2i32i3000000000−2i32i3−2i32i30000000000000000000000000002i2−2i2000000000000000−i2i2−6600000000
χ804-44-44-200-2-4224-4-20000-2222i3−2i30000000002i3−2i32i3−2i3000000000000000000000000000−2i22i2000000000000000i2−i2−6600000000
χ814-44-44-200-2-4224-4-20000-2222i3−2i30000000002i3−2i32i3−2i30000000000000000000000000002i2−2i2000000000000000−i2i26−600000000
χ824-4-444400-4-4-44-4440000-4-4400000000000000004-400000000000000000000000000004-400000000000000000000000
χ834-4-444400-4-4-44-4440000-4-440000000000000000-440000000000000000000000000000-4400000000000000000000000
χ844-4-44-2400-42-442-2-2000022-200000000023−2323−23−232304-40000000000000000000000000023−23-2200000000000000000000000
χ854-4-44-2400-42-442-2-2000022-200000000023−2323−23−23230-4400000000000000000000000000−23232-200000000000000000000000
χ864-4-44-2400-42-442-2-2000022-2000000000−2323−232323−2304-400000000000000000000000000−2323-2200000000000000000000000
χ874-4-44-2400-42-442-2-2000022-2000000000−2323−232323−230-440000000000000000000000000023−232-200000000000000000000000
χ888-88-8-480084-8-8-44-40000-44400000000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-4-400-4444-44200002-2-2−4i34i30000000002i3−2i32i3−2i300000000000000000000000000000000000000000000000000000000
χ908-88-8-4-400-4444-44200002-2-24i3−4i3000000000−2i32i3−2i32i300000000000000000000000000000000000000000000000000000000
χ918-8-888-4004-84-4-88-4000044-400000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-400444-44-420000-2-2200000000043−43−232323−2300000000000000000000000000000000000000000000000000000000
χ938-8-88-4-400444-44-420000-2-22000000000−434323−23−232300000000000000000000000000000000000000000000000000000000

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