Finite Group Databasebeta

← Group #11897643

Character table — Group #11897643

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222444444444444444444444444668888888888888888888881212121212121212122424242424242424242424242424243636363648487272
order1222334466666634444666121212121212121212121212121212124441212121212121212121212121212121212121212444881212121244448121212121212242424242288121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-11111-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1111111111111111111111-1-1-111-1-1-1-11-1-111-1-1-1-1-1-11111-1-1-1-111-1-1
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
χ511111111111111111-1-11111111111-1-1-1-1-1-1-1-1111-111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-11111-1-111-1-1-1111-1-1-111-1-111111-1-1-1
χ611111111111111111-1-11111111111-1-1-1-1-1-1-1-1111-111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-1-111-1-1-11-111111-1-1-1-1-111-1-1-1-1-1111
χ711111111111111111-1-11111111111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11-1111-1-1111-11-1-1-1-1-111111-1-1-1-1-1-11-111
χ811111111111111111-1-11111111111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11-11-1-1-1-111-1-1111-1-1-1111-1-1111111-11-1-1
χ9111111111111111-1-111111111-1-1-1-111111111111-1-1-11-1-11-1-111-1-1-1-111-1-1-1-1111111111-1-1-1-111-1-11-1-11111-1-111-1-1-11
χ10111111111111111-1-111111111-1-1-1-111111111111-1-1-11-1-11-1-111-1-1-1-111-1-1-1-1111-1-111111-1-11-11-1-11-1-1-1-1-1-111-1-1111-1
χ11111111111111111-1-111111111-1-1-1-1111111111-1-1-1-1-11-1-11-1-111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-111-11-111-111111111-1-1-1-11-1
χ12111111111111111-1-111111111-1-1-1-1111111111-1-1-1-1-11-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-1-1-1-1-11111-11
χ13111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-11111-1-1-1-1-1-11111-11-11111-1-1-1-111-11-1-1-11111-1-1-1-111-111-1
χ14111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-11111-1-1-1-1-1-11111-11-1-1-111-1-11-11-111-1-1-111-1-11111-1-11-1-11
χ15111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-111-11111-1-1-1-1-1-111111-1111-1-111-11-11-1-1111-1-111-1-111-1-1-11-11
χ16111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-111-11111-1-1-1-1-1-111111-11-1-1-1-11111-1-11-1111-1-1-1-111-1-1111-11-1
χ17222222-2-22222222002-2222-2-2-2000022222222-222000-200-200-2-20000-2-200002-2-200222200000-200-200000000000000
χ18222222-2-22222222002-2222-2-2-2000022222222-2-2-2000-200-200-2-20000-2-20000-22200-2-2-2-200000200200000000000000
χ19222222-2-2222222200-22222-2-2-20000-2-2-2-2-2-2-2-2-222000200200-2-20000220000-2-220022-2-200000-200200000000000000
χ20222222-2-2222222200-22222-2-2-20000-2-2-2-2-2-2-2-2-2-2-2000200200-2-2000022000022-200-2-22200000200-200000000000000
χ2122222-1222-12-12-1-12222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122200-1-1-1-102200-1-1-1-1-1-1000000000000
χ2222222-1222-12-12-1-12222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-20011110-2-200111111000000000000
χ2322222-1222-12-12-1-122-2-2-1-1-12-1-1-1-1-1-1-2-2111111222-222-2-2-2111-1-1-1-1-1-1111111-22-200-1-11102-200-1-1-1111000000000000
χ2422222-1222-12-12-1-122-2-2-1-1-12-1-1-1-1-1-1-2-21111112-2-2-222-2-2-2111-1-1-1-1-1-11111112-220011-1-10-2200111-1-1-1000000000000
χ2522222-1222-12-12-1-1-2-222-1-1-12-1-1111122-1-1-1-1-1-1222-2-2-22-2-2-111-1-11111-1-1111122200-1-1-1-10-2-200-111-111000000000000
χ2622222-1222-12-12-1-1-2-222-1-1-12-1-1111122-1-1-1-1-1-12-2-2-2-2-22-2-2-111-1-11111-1-11111-2-2-2001111022001-1-11-1-1000000000000
χ2722222-1222-12-12-1-1-2-2-2-2-1-1-12-1-11111-2-21111112222-2-2-2221-1-1-1-1111111-1-1-1-1-22-200-1-1110-2200-1111-1-1000000000000
χ2822222-1222-12-12-1-1-2-2-2-2-1-1-12-1-11111-2-21111112-2-22-2-2-2221-1-1-1-1111111-1-1-1-12-220011-1-102-2001-1-1-111000000000000
χ2922222-1-2-22-12-12-1-1002-2-1-1-1-211−i3−i3i3i322-1-1-1-1-1-1-222000-2001−i3i311−i3−i3i3i311−i3−i3i3i32-2-200-1-1-1-1000001−i3i31−i3i3000000000000
χ3022222-1-2-22-12-12-1-1002-2-1-1-1-211−i3−i3i3i322-1-1-1-1-1-1-2-2-2000-2001−i3i311−i3−i3i3i311−i3−i3i3i3-22200111100000-1i3−i3-1i3−i3000000000000
χ3122222-1-2-22-12-12-1-1002-2-1-1-1-211i3i3−i3−i322-1-1-1-1-1-1-222000-2001i3−i311i3i3−i3−i311i3i3−i3−i32-2-200-1-1-1-1000001i3−i31i3−i3000000000000
χ3222222-1-2-22-12-12-1-1002-2-1-1-1-211i3i3−i3−i322-1-1-1-1-1-1-2-2-2000-2001i3−i311i3i3−i3−i311i3i3−i3−i3-22200111100000-1−i3i3-1−i3i3000000000000
χ3322222-1-2-22-12-12-1-100-22-1-1-1-211−i3−i3i3i3-2-2111111-222000200-1i3−i311−i3−i3i3i3-1-1i3i3−i3−i3-2-2200-1-111000001−i3i3-1i3−i3000000000000
χ3422222-1-2-22-12-12-1-100-22-1-1-1-211−i3−i3i3i3-2-2111111-2-2-2000200-1i3−i311−i3−i3i3i3-1-1i3i3−i3−i322-20011-1-100000-1i3−i31−i3i3000000000000
χ3522222-1-2-22-12-12-1-100-22-1-1-1-211i3i3−i3−i3-2-2111111-222000200-1−i3i311i3i3−i3−i3-1-1−i3−i3i3i3-2-2200-1-111000001i3−i3-1−i3i3000000000000
χ3622222-1-2-22-12-12-1-100-22-1-1-1-211i3i3−i3−i3-2-2111111-2-2-2000200-1−i3i311i3i3−i3−i3-1-1−i3−i3i3i322-20011-1-100000-1−i3i31i3−i3000000000000
χ372222-1222-12-12-12-12222-1-1-1-1222222-1-122-1-1-1-1-1002-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100022000020022000000-1-1-1-10000-1-100
χ382222-1222-12-12-12-12222-1-1-1-1222222-1-122-1-1-1-1-1002-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1000-2-20000-200-2-2000000111100001100
χ392222-1222-12-12-12-122-2-2-1-1-1-122222211-2-21111-100-2-1-1111-2-2-2-1-1-1-1-1-1111111000220000200-2-2000000-1-1110000-1100
χ402222-1222-12-12-12-122-2-2-1-1-1-122222211-2-21111-100-2-1-1111-2-2-2-1-1-1-1-1-1111111000-2-20000-2002200000011-1-100001-100
χ412222-1222-12-12-12-1-2-222-1-1-1-122-2-2-2-2-1-122-1-1-1-1-100-211-1112-2-2-1-11111-1-11111000220000-200-22000000-1-1-1-100001100
χ422222-1222-12-12-12-1-2-222-1-1-1-122-2-2-2-2-1-122-1-1-1-1-100-211-1112-2-2-1-11111-1-11111000-2-200002002-200000011110000-1-100
χ432222-1222-12-12-12-1-2-2-2-2-1-1-1-122-2-2-2-211-2-21111-1002111-1-1-222-1-1111111-1-1-1-1000220000-2002-2000000-1-11100001-100
χ442222-1222-12-12-12-1-2-2-2-2-1-1-1-122-2-2-2-211-2-21111-1002111-1-1-222-1-1111111-1-1-1-1000-2-20000200-2200000011-1-10000-1100
χ4522-2-2222-222-2-2-2-222-200-22-222-22-22-200000000-20002-20000002-22-22-20000000000000000000000000000002-22-20000
χ4622-2-2222-222-2-2-2-222-200-22-222-22-22-200000000-20002-20000002-22-22-2000000000000000000000000000000-22-220000
χ4722-2-2222-222-2-2-2-22-2200-22-222-2-22-2200000000-2000-220000002-2-22-220000000000000000000000000000002-2-220000
χ4822-2-2222-222-2-2-2-22-2200-22-222-2-22-2200000000-2000-220000002-2-22-22000000000000000000000000000000-222-20000
χ494444-24-4-4-24-24-24-2004-4-2-2-22-4-40000-2-244-2-2-2-2200000200-40022000022000000000000000000000000000000000000
χ504444-24-4-4-24-24-24-200-44-2-2-22-4-4000022-4-42222200000-200400220000-2-2000000000000000000000000000000000000
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
χ524444-2-244-2-2-2-2-2-2144-4-4111-2-2-2-2-2-2-22222-1-1-1-1-200-4-2-2222222111111-1-1-1-1-1-100000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-21-4-444111-2-2-22222-2-2-2-21111-200-422-222-22211-1-1-1-111-1-1-1-100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-21-4-4-4-4111-2-2-222222222-1-1-1-1-2004222-2-22-2-211-1-1-1-1-1-1111100000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-21004-4111222−2i3−2i32i32i3-2-2-2-211112000002002−2i32i3-1-1i3i3−i3−i3-1-1i3i3−i3−i300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-21004-41112222i32i3−2i3−2i3-2-2-2-2111120000020022i3−2i3-1-1−i3−i3i3i3-1-1−i3−i3i3i300000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-2100-44111222−2i3−2i32i32i32222-1-1-1-1200000-200-22i3−2i3-1-1i3i3−i3−i311−i3−i3i3i300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-2100-441112222i32i3−2i3−2i32222-1-1-1-1200000-200-2−2i32i3-1-1−i3−i3i3i311i3i3−i3−i300000000000000000000000000000000
χ5944-4-444-4444-4-4-4-440000-44-4-4-44000000000000400000000000-44000000000000000000000000000000000000000000
χ6044-4-44-24-44-2-42-42-24-4002-224-22-22-2200000000-40004-4000000-22-22-2200000000000000000000000000000000000000
χ6144-4-44-24-44-2-42-42-2-44002-224-222-22-200000000-4000-44000000-222-22-200000000000000000000000000000000000000
χ6244-4-44-2-444-2-42-42-200002-22-42-2−2i32i32i3−2i3000000004000000000002-2−2i32i32i3−2i300000000000000000000000000000000000000
χ6344-4-44-2-444-2-42-42-200002-22-42-22i3−2i3−2i32i3000000004000000000002-22i3−2i3−2i32i300000000000000000000000000000000000000
χ6444-4-4-244-4-242-42-4-24-4002-22-24-44-44-4000000002000-22000000-22-22-2200000000000000000000000000000000000000
χ6544-4-4-244-4-242-42-4-2-44002-22-24-4-44-440000000020002-2000000-222-22-200000000000000000000000000000000000000
χ6644-4-4-24-44-242-42-4-200002-222-44000000000000-200000023−230002-200000023−2323−2300000000000000000000000000000000
χ6744-4-4-24-44-242-42-4-200002-222-44000000000000-2000000−23230002-2000000−2323−232300000000000000000000000000000000
χ6844-4-4-2-24-4-2-2222214-400-11-1-2-22-22-2200003i3i−3i−3i2000-220000001-11-11-13i−3i3i−3i−3i3i00000000000000000000000000000000
χ6944-4-4-2-24-4-2-2222214-400-11-1-2-22-22-220000−3i−3i3i3i2000-220000001-11-11-1−3i3i−3i3i3i−3i00000000000000000000000000000000
χ7044-4-4-2-24-4-2-222221-4400-11-1-2-222-22-200003i3i−3i−3i20002-20000001-1-11-113i−3i−3i3i3i−3i00000000000000000000000000000000
χ7144-4-4-2-24-4-2-222221-4400-11-1-2-222-22-20000−3i−3i3i3i20002-20000001-1-11-11−3i3i3i−3i−3i3i00000000000000000000000000000000
χ7244-4-4-2-2-44-2-2222210000-11-122-2−2i32i32i3−2i300003i3i−3i−3i-2000000−2323000-11i3−i3−i3i3−3i3i3−33−300000000000000000000000000000000
χ7344-4-4-2-2-44-2-2222210000-11-122-2−2i32i32i3−2i30000−3i−3i3i3i-200000023−23000-11i3−i3−i3i33i−3i−33−3300000000000000000000000000000000
χ7444-4-4-2-2-44-2-2222210000-11-122-22i3−2i3−2i32i300003i3i−3i−3i-200000023−23000-11−i3i3i3−i3−3i3i−33−3300000000000000000000000000000000
χ7544-4-4-2-2-44-2-2222210000-11-122-22i3−2i3−2i32i30000−3i−3i3i3i-2000000−2323000-11−i3i3i3−i33i−3i3−33−300000000000000000000000000000000
χ764-44-44400-4-444-4-4400004-4-400000000000000004-4000000000000000000000000004-40000000000000000000000000
χ774-44-44400-4-444-4-4400004-4-40000000000000000-4400000000000000000000000000-440000000000000000000000000
χ784-44-44-200-424-2-42-20000-222000000000−2i32i3−2i32i3−2i32i304-400000000000000000000000000-22−2i32i300000000000000000000000
χ794-44-44-200-424-2-42-20000-222000000000−2i32i3−2i32i3−2i32i30-44000000000000000000000000002-22i3−2i300000000000000000000000
χ804-44-44-200-424-2-42-20000-2220000000002i3−2i32i3−2i32i3−2i304-400000000000000000000000000-222i3−2i300000000000000000000000
χ814-44-44-200-424-2-42-20000-2220000000002i3−2i32i3−2i32i3−2i30-44000000000000000000000000002-2−2i32i300000000000000000000000
χ824-4-444400-4-4-4-44440000-4-4400000000000000000000000000000000000000000022−2200000000000000022−220000000000
χ834-4-444400-4-4-4-44440000-4-44000000000000000000000000000000000000000000−2222000000000000000−22220000000000
χ844-4-44-24002-42-4-24-2000022-2000000023−230023−23−232300000000000000000000000000022−22000000000000000−226−600000000
χ854-4-44-24002-42-4-24-2000022-2000000023−230023−23−2323000000000000000000000000000−22220000000000000002−2−6600000000
χ864-4-44-24002-42-4-24-2000022-20000000−232300−232323−2300000000000000000000000000022−22000000000000000−22−6600000000
χ874-4-44-24002-42-4-24-2000022-20000000−232300−232323−23000000000000000000000000000−22220000000000000002−26−600000000
χ888-88-8-48004-8-484-8-40000-44400000000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-4-40044-4-444200002-2-2000000000−4i34i32i3−2i32i3−2i300000000000000000000000000000000000000000000000000000000
χ908-88-8-4-40044-4-444200002-2-20000000004i3−4i3−2i32i3−2i32i300000000000000000000000000000000000000000000000000000000
χ918-8-888-400-84-848-4-4000044-400000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-4004444-4-420000-2-22000000043−4300−232323−2300000000000000000000000000000000000000000000000000000000
χ938-8-88-4-4004444-4-420000-2-220000000−43430023−23−232300000000000000000000000000000000000000000000000000000000

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