Finite Group Databasebeta

← Group #11895846

Character table — Group #11895846

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222444444444444444444444444668888888888888888888881212121212121212122424242424242424242424242424243636363648487272
order12223344666666344446661212121212121212121212121212121244412121212121212121212121212121212121212124448812121212244466812121212242424242288121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1111111111111111111111-1-1-111-1-1-1-1-1-111-1-11-1-1-1-11111-1-1-1-111-1-1
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
χ511111111111111111-1-11111111111-1-1-1-11111111-1-1-11-1-11-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111-1-11111-1-111-1-1-11
χ611111111111111111-1-11111111111-1-1-1-11111111-1-1-11-1-11-1-11111-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1-111-1-1-1-1-1-111-1-1111-1
χ711111111111111111-1-11111111111-1-1-1-111111-1-1-1-1-11-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111-1-111111111-1-1-1-11-1
χ811111111111111111-1-11111111111-1-1-1-111111-1-1-1-1-11-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1-1-11111-11
χ9111111111111111-1-111111-1-11-1-1111111-1-1-1-1111-1-1-1-1-1-1-11111-1-11111-1-1-1-11-1-111-1-1111-11-111-11-1-1-111-1-111111-1-1-1
χ10111111111111111-1-111111-1-11-1-1111111-1-1-1-1111-1-1-1-1-1-1-11111-1-11111-1-1-1-11-1-1-1-1-1-1111-1-111111-1-1-1-1-111-1-1-1-1-1111
χ11111111111111111-1-111111-1-11-1-1111111-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1111111-1-1-111-1-1-1-1-111111-1-1-1-1-1-11-111
χ12111111111111111-1-111111-1-11-1-1111111-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-111-1-111-1-1-11-11-1-11-1111-1-1111111-11-1-1
χ13111111111111111-1-1-1-1111-1-11-1-111-1-1-1-1-1-1-1-1111111-111-1-1-111-1-1-1-1-1-111111-1-111-1-111-11-11-1-1-11-11111-1-1-1-111-111-1
χ14111111111111111-1-1-1-1111-1-11-1-111-1-1-1-1-1-1-1-1111111-111-1-1-111-1-1-1-1-1-111111-1-1-1-1-1-111-111-1-1-111-111-1-11111-1-11-1-11
χ15111111111111111-1-1-1-1111-1-11-1-111-1-1-1-1-1-1-1-11-1-1111-111-1-1-111-1-1-1-1-1-11111-1111111-1-11-1-1111-1-11-1-111-1-111-1-1-11-11
χ16111111111111111-1-1-1-1111-1-11-1-111-1-1-1-1-1-1-1-11-1-1111-111-1-1-111-1-1-1-1-1-11111-111-1-111-1-11-11-1111-11-1-1-1-111-1-1111-11-1
χ17222222-2-222222222-20022222-222-2-200002222-222000-200-200-2-2-2-200000000-22-20022220000000-2-200000000000000
χ18222222-2-222222222-20022222-222-2-200002222-2-2-2000-200-200-2-2-2-2000000002-2200-2-2-2-200000002200000000000000
χ19222222-2-22222222-2200222-2-2-2-2-2-2-20000-2-2-2-2-222000200200-2-22200000000-2-2200-2-2220000000-2200000000000000
χ20222222-2-22222222-2200222-2-2-2-2-2-2-20000-2-2-2-2-2-2-2000200200-2-2220000000022-20022-2-200000002-200000000000000
χ2122222-12222-1-1-12-12222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-122200-1-1-1-12200-1-10-1-1-1-1000000000000
χ2222222-12222-1-1-12-12222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12-2-2222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2001111-2-2001101111000000000000
χ2322222-12222-1-1-12-122-2-2-1-1-1222-1-1-1-11111-1-1-1-1222-2-2-2-1112-2-2-1-1-1-11111111122200-1-1-1-1-2-200110-1-111000000000000
χ2422222-12222-1-1-12-122-2-2-1-1-1222-1-1-1-11111-1-1-1-12-2-2-2-2-2-1112-2-2-1-1-1-111111111-2-2-20011112200-1-1011-1-1000000000000
χ2522222-12222-1-1-12-1-2-222-1-1-1-2-2211-1-1-1-1-1-11111222-2-2-2111-222-1-111-1-1-1-111112-2-20011-1-12-200-1-10-1111000000000000
χ2622222-12222-1-1-12-1-2-222-1-1-1-2-2211-1-1-1-1-1-111112-2-2-2-2-2111-222-1-111-1-1-1-11111-22200-1-111-22001101-1-1-1000000000000
χ2722222-12222-1-1-12-1-2-2-2-2-1-1-1-2-2211-1-1111111112222221-1-1-2-2-2-1-1111111-1-1-1-12-2-20011-1-1-2200110-11-1-1000000000000
χ2822222-12222-1-1-12-1-2-2-2-2-1-1-1-2-2211-1-1111111112-2-22221-1-1-2-2-2-1-1111111-1-1-1-1-22200-1-1112-200-1-101-111000000000000
χ2922222-1-2-222-1-1-12-12-200-1-1-122-2-1-111−i3−i3i3i3-1-1-1-1-2220001−i3i3-2001111−i3−i3i3i3−i3−i3i3i3-22-200-1-1-1-10000−i3i3011−i3i3000000000000
χ3022222-1-2-222-1-1-12-12-200-1-1-122-2-1-111−i3−i3i3i3-1-1-1-1-2-2-20001−i3i3-2001111−i3−i3i3i3−i3−i3i3i32-220011110000i3−i30-1-1i3−i3000000000000
χ3122222-1-2-222-1-1-12-12-200-1-1-122-2-1-111i3i3−i3−i3-1-1-1-1-2220001i3−i3-2001111i3i3−i3−i3i3i3−i3−i3-22-200-1-1-1-10000i3−i3011i3−i3000000000000
χ3222222-1-2-222-1-1-12-12-200-1-1-122-2-1-111i3i3−i3−i3-1-1-1-1-2-2-20001i3−i3-2001111i3i3−i3−i3i3i3−i3−i32-220011110000−i3i30-1-1−i3i3000000000000
χ3322222-1-2-222-1-1-12-1-2200-1-1-1-2-2-21111−i3−i3i3i31111-222000-1i3−i320011-1-1−i3−i3i3i3i3i3−i3−i3-2-220011-1-10000−i3i301-1i3−i3000000000000
χ3422222-1-2-222-1-1-12-1-2200-1-1-1-2-2-21111−i3−i3i3i31111-2-2-2000-1i3−i320011-1-1−i3−i3i3i3i3i3−i3−i322-200-1-1110000i3−i30-11−i3i3000000000000
χ3522222-1-2-222-1-1-12-1-2200-1-1-1-2-2-21111i3i3−i3−i31111-222000-1−i3i320011-1-1i3i3−i3−i3−i3−i3i3i3-2-220011-1-10000i3−i301-1−i3i3000000000000
χ3622222-1-2-222-1-1-12-1-2200-1-1-1-2-2-21111i3i3−i3−i31111-2-2-2000-1−i3i320011-1-1i3i3−i3−i3−i3−i3i3i322-200-1-1110000−i3i30-11i3−i3000000000000
χ372222-1222-1-1222-1-12222-1-1-1-1-1-122222222-1-1-1-1-1002-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100022000000220020000-1-1-1-10000-1-100
χ382222-1222-1-1222-1-12222-1-1-1-1-1-122222222-1-1-1-1-1002-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000-2-2000000-2-200-20000111100001100
χ392222-1222-1-1222-1-122-2-2-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-100-2112-2-2-111-1-1-1-11111111100022000000-2-20020000-1-1-1-100001100
χ402222-1222-1-1222-1-122-2-2-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-100-2112-2-2-111-1-1-1-111111111000-2-20000002200-2000011110000-1-100
χ412222-1222-1-1222-1-1-2-222-1-1-111-1-2-22222221111-100-211-2-2-21-1-1-1-111-1-1-1-11111000220000002-200-20000-1-1110000-1100
χ422222-1222-1-1222-1-1-2-222-1-1-111-1-2-22222221111-100-211-2-2-21-1-1-1-111-1-1-1-11111000-2-2000000-22002000011-1-100001-100
χ432222-1222-1-1222-1-1-2-2-2-2-1-1-111-1-2-222-2-2-2-21111-1002-1-1-222111-1-1111111-1-1-1-100022000000-2200-20000-1-11100001-100
χ442222-1222-1-1222-1-1-2-2-2-2-1-1-111-1-2-222-2-2-2-21111-1002-1-1-222111-1-1111111-1-1-1-1000-2-20000002-2002000011-1-10000-1100
χ452-22-222-22-22-22-2-22002i−2i-22-200-2002-22i−2i2i−2i000020000000002i−2i2-2002i−2i2i−2i00000000000000000000000000002-22i−2i0000
χ462-22-222-22-22-22-2-22002i−2i-22-200-2002-22i−2i2i−2i000020000000002i−2i2-2002i−2i2i−2i0000000000000000000000000000-22−2i2i0000
χ472-22-222-22-22-22-2-2200−2i2i-22-200-2002-2−2i2i−2i2i00002000000000−2i2i2-200−2i2i−2i2i00000000000000000000000000002-2−2i2i0000
χ482-22-222-22-22-22-2-2200−2i2i-22-200-2002-2−2i2i−2i2i00002000000000−2i2i2-200−2i2i−2i2i0000000000000000000000000000-222i−2i0000
χ494444-24-4-4-2-2444-2-24-400-2-2-2-2-2244-4-40000-2-2-2-2200000-40020022220000000000000000000000000000000000000000
χ504444-24-4-4-2-2444-2-2-4400-2-2-2222-4-4-4-400002222200000400-20022-2-20000000000000000000000000000000000000000
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
χ524444-2-244-2-2-2-2-2-2144-4-4111-2-2-2-2-2-2-222221111-200-422-222-2221111-1-1-1-1-1-1-1-100000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-21-4-44411122-222-2-2-2-2-2-2-1-1-1-1-200-4222222-2-211-1-11111-1-1-1-100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-21-4-4-4-411122-222-2-22222-1-1-1-1-2004-2-22-2-222211-1-1-1-1-1-1111100000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-214-400111-2-22-2-222−2i3−2i32i32i311112000002−2i32i3200-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-214-400111-2-22-2-2222i32i3−2i3−2i3111120000022i3−2i3200-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21-44001112222222−2i3−2i32i32i3-1-1-1-1200000-22i3−2i3-200-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21-440011122222222i32i3−2i3−2i3-1-1-1-1200000-2−2i32i3-200-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000
χ5944-4-444004-44-4-4-4400004-4-400000000000000000000000000000000000000000022−2200000000000000022−220000000000
χ6044-4-444004-44-4-4-4400004-4-4000000000000000000000000000000000000000000−2222000000000000000−22220000000000
χ6144-4-4-2400-224-4-42-20000-222−2i32i3000000000−2i3−2i32i32i300000000000000000000000000022−22000000000000000−22i6−i600000000
χ6244-4-4-2400-224-4-42-20000-222−2i32i3000000000−2i3−2i32i32i3000000000000000000000000000−22220000000000000002−2−i6i600000000
χ6344-4-4-2400-224-4-42-20000-2222i3−2i30000000002i32i3−2i3−2i300000000000000000000000000022−22000000000000000−22−i6i600000000
χ6444-4-4-2400-224-4-42-20000-2222i3−2i30000000002i32i3−2i3−2i3000000000000000000000000000−22220000000000000002−2i6−i600000000
χ654-44-4444-4-44-44-4-440000-44-400400-4400000000-400000000000-44000000000000000000000000000000000000000000
χ664-44-44-24-4-442-22-4-200002-22004002-223−23−23230000-4000000000002-20023−23−2323000000000000000000000000000000000000
χ674-44-44-24-4-442-22-4-200002-22004002-2−232323−230000-4000000000002-200−232323−23000000000000000000000000000000000000
χ684-44-44-2-44-442-22-4-2004i−4i2-2200-400-22−2i2i−2i2i000040000000004i−4i-2200−2i2i−2i2i000000000000000000000000000000000000
χ694-44-44-2-44-442-22-4-200−4i4i2-2200-400-222i−2i2i−2i00004000000000−4i4i-22002i−2i2i−2i000000000000000000000000000000000000
χ704-44-4-244-42-2-44-42-200002-2200-200-44000000002000−2i32i30000002-2000000−2i32i3−2i32i300000000000000000000000000000000
χ714-44-4-244-42-2-44-42-200002-2200-200-440000000020002i3−2i30000002-20000002i3−2i32i3−2i300000000000000000000000000000000
χ724-44-4-24-442-2-44-42-2004i−4i2-22002004-44i−4i4i−4i0000-2000000000−2i2i-2200−2i2i−2i2i000000000000000000000000000000000000
χ734-44-4-24-442-2-44-42-200−4i4i2-22002004-4−4i4i−4i4i0000-20000000002i−2i-22002i−2i2i−2i000000000000000000000000000000000000
χ744-44-4-2-24-42-22-22210000-11-100-2002-223−23−23233i−3i3i−3i2000−2i32i3000000-113i−3i−333−3i3−i3i3−i300000000000000000000000000000000
χ754-44-4-2-24-42-22-22210000-11-100-2002-223−23−2323−3i3i−3i3i20002i3−2i3000000-11−3i3i−333−3−i3i3−i3i300000000000000000000000000000000
χ764-44-4-2-24-42-22-22210000-11-100-2002-2−232323−233i−3i3i−3i20002i3−2i3000000-113i−3i3−3−33−i3i3−i3i300000000000000000000000000000000
χ774-44-4-2-24-42-22-22210000-11-100-2002-2−232323−23−3i3i−3i3i2000−2i32i3000000-11−3i3i3−3−33i3−i3i3−i300000000000000000000000000000000
χ784-44-4-2-2-442-22-2221004i−4i-11-100200-22−2i2i−2i2i3i−3i3i−3i-2000000000−2i2i1-1−3i3ii−ii−i-333-300000000000000000000000000000000
χ794-44-4-2-2-442-22-2221004i−4i-11-100200-22−2i2i−2i2i−3i3i−3i3i-2000000000−2i2i1-13i−3ii−ii−i3-3-3300000000000000000000000000000000
χ804-44-4-2-2-442-22-222100−4i4i-11-100200-222i−2i2i−2i3i−3i3i−3i-20000000002i−2i1-1−3i3i−ii−ii3-3-3300000000000000000000000000000000
χ814-44-4-2-2-442-22-222100−4i4i-11-100200-222i−2i2i−2i−3i3i−3i3i-20000000002i−2i1-13i−3i−ii−ii-333-300000000000000000000000000000000
χ824-4-444400-4-4-4-44440000-4-4400000000000000004-400000000000000000000000000004-400000000000000000000000
χ834-4-444400-4-4-4-44440000-4-440000000000000000-440000000000000000000000000000-4400000000000000000000000
χ844-4-444-200-4-422-24-2000022-200023−2300000023−23−232304-40000000000000000000000000023−23-2200000000000000000000000
χ854-4-444-200-4-422-24-2000022-200023−2300000023−23−23230-4400000000000000000000000000−23232-200000000000000000000000
χ864-4-444-200-4-422-24-2000022-2000−2323000000−232323−2304-400000000000000000000000000−2323-2200000000000000000000000
χ874-4-444-200-4-422-24-2000022-2000−2323000000−232323−230-440000000000000000000000000023−232-200000000000000000000000
χ8888-8-88-4008-8-444-8-40000-44400000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-400-44-4444200002-2-2−4i34i30000000002i32i3−2i3−2i300000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-400-44-4444200002-2-24i3−4i3000000000−2i3−2i32i32i300000000000000000000000000000000000000000000000000000000
χ918-8-88-480044-8-88-4-4000044-400000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-4004444-4-420000-2-2200043−43000000−232323−2300000000000000000000000000000000000000000000000000000000
χ938-8-88-4-4004444-4-420000-2-22000−434300000023−23−232300000000000000000000000000000000000000000000000000000000

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