Finite Group Databasebeta

← Group #11896048

Character table — Group #11896048

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222444444444444444444444444668888888888888888888881212121212121212122424242424242424242424242424243636363648487272
order12223344666666344446661212121212121212121212121212121244412121212121212121212121212121212121212124448812121212244466812121212242424244488121248
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
χ511111111111111111-1-11111-1-1111111-1-1-1-1-1-1111-111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-111-1-1111-11-111-11-1-1-111-1-111111-1-1-1
χ611111111111111111-1-11111-1-1111111-1-1-1-1-1-1111-111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-1-1-1-1111-1-111111-1-1-1-1-111-1-1-1-1-1111
χ711111111111111111-1-11111-1-1111111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11-111111-1-1-111-1-1-1-1-111111-1-1-1-1-1-11-111
χ811111111111111111-1-11111-1-1111111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11-11-1-111-1-1-11-11-1-11-1111-1-1111111-11-1-1
χ9111111111111111-1-11111111111-1-1-1-1111111111-1-1-11-1-11-1-111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1111-1-11111-1-111-1-1-11
χ10111111111111111-1-11111111111-1-1-1-1111111111-1-1-11-1-11-1-111-1-1-1-111-1-1-1-1111-1-11111-1-111-1-1-111-1-1-1-1-1-111-1-1111-1
χ11111111111111111-1-11111111111-1-1-1-11111111-1-1-1-1-11-1-11-1-111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-111-1-1111-1-111111111-1-1-1-11-1
χ12111111111111111-1-11111111111-1-1-1-11111111-1-1-1-1-11-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1-1-11111-11
χ13111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-111-11111-1-1-1-1-1-11111-11-111-1-111-11-11-1-1-11-11111-1-1-1-111-111-1
χ14111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-111-11111-1-1-1-1-1-11111-11-1-1-1-1-111-111-1-1-111-111-1-11111-1-11-1-11
χ15111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-111-11111-1-1-1-1-1-111111-111111-1-11-1-1111-1-11-1-111-1-111-1-1-11-11
χ16111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-111-11111-1-1-1-1-1-111111-11-1-111-1-11-11-1111-11-1-1-1-111-1-1111-11-1
χ17222222-2-22222222002-2222-2-2-2-2-20000-2-2-2-2-2-2-222000200200-2-200002200002-2-200-2-2220000000-2200000000000000
χ18222222-2-22222222002-2222-2-2-2-2-20000-2-2-2-2-2-2-2-2-2000200200-2-20000220000-2220022-2-200000002-200000000000000
χ19222222-2-2222222200-22222-222-2-20000222222-222000-200-200-2-20000-2-20000-2-220022220000000-2-200000000000000
χ20222222-2-2222222200-22222-222-2-20000222222-2-2-2000-200-200-2-20000-2-2000022-200-2-2-2-200000002200000000000000
χ2122222-12222-1-1-12-12222-1-1-12-1-1-1-1-1-1-1-122-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122200-1-1-1-12200-1-10-1-1-1-1000000000000
χ2222222-12222-1-1-12-12222-1-1-12-1-1-1-1-1-1-1-122-1-1-1-12-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2001111-2-2001101111000000000000
χ2322222-12222-1-1-12-122-2-2-1-1-1211-1-1-1-1-1-1-2-21111222-222-2-2-2111-1-1-1-1-1-1111111-22-20011-1-12-200-1-10-1111000000000000
χ2422222-12222-1-1-12-122-2-2-1-1-1211-1-1-1-1-1-1-2-211112-2-2-222-2-2-2111-1-1-1-1-1-11111112-2200-1-111-22001101-1-1-1000000000000
χ2522222-12222-1-1-12-1-2-222-1-1-12-1-1-1-1111122-1-1-1-1222-2-2-22-2-2-111-1-11111-1-1111122200-1-1-1-1-2-200110-1-111000000000000
χ2622222-12222-1-1-12-1-2-222-1-1-12-1-1-1-1111122-1-1-1-12-2-2-2-2-22-2-2-111-1-11111-1-11111-2-2-20011112200-1-1011-1-1000000000000
χ2722222-12222-1-1-12-1-2-2-2-2-1-1-1211-1-11111-2-211112222-2-2-2221-1-1-1-1111111-1-1-1-1-22-20011-1-1-2200110-11-1-1000000000000
χ2822222-12222-1-1-12-1-2-2-2-2-1-1-1211-1-11111-2-211112-2-22-2-2-2221-1-1-1-1111111-1-1-1-12-2200-1-1112-200-1-101-111000000000000
χ2922222-1-2-222-1-1-12-1002-2-1-1-1-21111−i3−i3i3i3-2-21111-222000200-1−i3i311−i3−i3i3i3-1-1−i3−i3i3i32-2-20011-1-10000−i3i301-1−i3i3000000000000
χ3022222-1-2-222-1-1-12-1002-2-1-1-1-21111−i3−i3i3i3-2-21111-2-2-2000200-1−i3i311−i3−i3i3i3-1-1−i3−i3i3i3-22200-1-1110000i3−i30-11i3−i3000000000000
χ3122222-1-2-222-1-1-12-1002-2-1-1-1-21111i3i3−i3−i3-2-21111-222000200-1i3−i311i3i3−i3−i3-1-1i3i3−i3−i32-2-20011-1-10000i3−i301-1i3−i3000000000000
χ3222222-1-2-222-1-1-12-1002-2-1-1-1-21111i3i3−i3−i3-2-21111-2-2-2000200-1i3−i311i3i3−i3−i3-1-1i3i3−i3−i3-22200-1-1110000−i3i30-11−i3i3000000000000
χ3322222-1-2-222-1-1-12-100-22-1-1-1-2-1-111−i3−i3i3i322-1-1-1-1-222000-2001i3−i311−i3−i3i3i311i3i3−i3−i3-2-2200-1-1-1-10000−i3i3011i3−i3000000000000
χ3422222-1-2-222-1-1-12-100-22-1-1-1-2-1-111−i3−i3i3i322-1-1-1-1-2-2-2000-2001i3−i311−i3−i3i3i311i3i3−i3−i322-20011110000i3−i30-1-1−i3i3000000000000
χ3522222-1-2-222-1-1-12-100-22-1-1-1-2-1-111i3i3−i3−i322-1-1-1-1-222000-2001−i3i311i3i3−i3−i311−i3−i3i3i3-2-2200-1-1-1-10000i3−i3011−i3i3000000000000
χ3622222-1-2-222-1-1-12-100-22-1-1-1-2-1-111i3i3−i3−i322-1-1-1-1-2-2-2000-2001−i3i311i3i3−i3−i311−i3−i3i3i322-20011110000−i3i30-1-1i3−i3000000000000
χ372222-1222-1-1222-1-12222-1-1-1-122222222-1-1-1-1-1-1-1002-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100022000000220020000-1-1-1-10000-1-100
χ382222-1222-1-1222-1-12222-1-1-1-122222222-1-1-1-1-1-1-1002-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1000-2-2000000-2-200-20000111100001100
χ392222-1222-1-1222-1-122-2-2-1-1-1-1-2-2222222111111-100-2-1-1111-2-2-2-1-1-1-1-1-1111111000220000002-200-20000-1-1110000-1100
χ402222-1222-1-1222-1-122-2-2-1-1-1-1-2-2222222111111-100-2-1-1111-2-2-2-1-1-1-1-1-1111111000-2-2000000-22002000011-1-100001-100
χ412222-1222-1-1222-1-1-2-222-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-100-211-1112-2-2-1-11111-1-1111100022000000-2-20020000-1-1-1-100001100
χ422222-1222-1-1222-1-1-2-222-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-100-211-1112-2-2-1-11111-1-11111000-2-20000002200-2000011110000-1-100
χ432222-1222-1-1222-1-1-2-2-2-2-1-1-1-1-2-222-2-2-2-2111111-1002111-1-1-222-1-1111111-1-1-1-100022000000-2200-20000-1-11100001-100
χ442222-1222-1-1222-1-1-2-2-2-2-1-1-1-1-2-222-2-2-2-2111111-1002111-1-1-222-1-1111111-1-1-1-1000-2-20000002-2002000011-1-10000-1100
χ452-22-222-222-2-22-2-222i−2i00-22-2-2002-22i−2i2i−2i00000020002i−2i0000002-22i−2i2i−2i0000000000000000000000000000002-22i−2i0000
χ462-22-222-222-2-22-2-222i−2i00-22-2-2002-22i−2i2i−2i00000020002i−2i0000002-22i−2i2i−2i000000000000000000000000000000-22−2i2i0000
χ472-22-222-222-2-22-2-22−2i2i00-22-2-2002-2−2i2i−2i2i0000002000−2i2i0000002-2−2i2i−2i2i0000000000000000000000000000002-2−2i2i0000
χ482-22-222-222-2-22-2-22−2i2i00-22-2-2002-2−2i2i−2i2i0000002000−2i2i0000002-2−2i2i−2i2i000000000000000000000000000000-222i−2i0000
χ494444-24-4-4-2-2444-2-2004-4-2-2-22-4-4-4-40000222222200000-200400220000-2-2000000000000000000000000000000000000
χ504444-24-4-4-2-2444-2-200-44-2-2-2244-4-40000-2-2-2-2-2-2200000200-40022000022000000000000000000000000000000000000
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
χ524444-2-244-2-2-2-2-2-2144-4-4111-222-2-2-2-2-2-222-1-1-1-1-200-4-2-2222222111111-1-1-1-1-1-100000000000000000000000000000000
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
χ544444-2-244-2-2-2-2-2-21-4-4-4-4111-222-2-2222222-1-1-1-1-2004222-2-22-2-211-1-1-1-1-1-1111100000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-21004-411122222−2i3−2i32i32i322-1-1-1-1200000-200-2−2i32i3-1-1i3i3−i3−i311i3i3−i3−i300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-21004-4111222222i32i3−2i3−2i322-1-1-1-1200000-200-22i3−2i3-1-1−i3−i3i3i311−i3−i3i3i300000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-2100-441112-2-222−2i3−2i32i32i3-2-2111120000020022i3−2i3-1-1i3i3−i3−i3-1-1−i3−i3i3i300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-2100-441112-2-2222i32i3−2i3−2i3-2-211112000002002−2i32i3-1-1−i3−i3i3i3-1-1i3i3−i3−i300000000000000000000000000000000
χ5944-4-44400-44-4-44-440000-4-4400000000000000004-400000000000000000000000000004-400000000000000000000000
χ6044-4-44400-44-4-44-440000-4-440000000000000000-440000000000000000000000000000-4400000000000000000000000
χ6144-4-44-200-4422-2-4-2000022-2023−23000000002323−23−2304-40000000000000000000000000023−23-2200000000000000000000000
χ6244-4-44-200-4422-2-4-2000022-2023−23000000002323−23−230-4400000000000000000000000000−23232-200000000000000000000000
χ6344-4-44-200-4422-2-4-2000022-20−232300000000−23−23232304-400000000000000000000000000−2323-2200000000000000000000000
χ6444-4-44-200-4422-2-4-2000022-20−232300000000−23−2323230-440000000000000000000000000023−232-200000000000000000000000
χ654-44-4444-44-4-44-4-440000-44-4400-440000000000-400000000000-44000000000000000000000000000000000000000000
χ664-44-44-24-44-42-22-4-200002-224002-223−23−2323000000-4000000000002-223−23−232300000000000000000000000000000000000000
χ674-44-44-24-44-42-22-4-200002-224002-2−232323−23000000-4000000000002-2−232323−2300000000000000000000000000000000000000
χ684-44-44-2-444-42-22-4-24i−4i002-22-400-22−2i2i−2i2i00000040004i−4i000000-22−2i2i−2i2i00000000000000000000000000000000000000
χ694-44-44-2-444-42-22-4-2−4i4i002-22-400-222i−2i2i−2i0000004000−4i4i000000-222i−2i2i−2i00000000000000000000000000000000000000
χ704-44-4-244-4-22-44-42-200002-22-200-4400000000002000000−2i32i30002-2000000−2i32i3−2i32i300000000000000000000000000000000
χ714-44-4-244-4-22-44-42-200002-22-200-44000000000020000002i3−2i30002-20000002i3−2i32i3−2i300000000000000000000000000000000
χ724-44-4-24-44-22-44-42-24i−4i002-222004-44i−4i4i−4i000000-2000−2i2i000000-22−2i2i−2i2i00000000000000000000000000000000000000
χ734-44-4-24-44-22-44-42-2−4i4i002-222004-4−4i4i−4i4i000000-20002i−2i000000-222i−2i2i−2i00000000000000000000000000000000000000
χ744-44-4-2-24-4-222-22210000-11-1-2002-223−23−2323003i−3i3i−3i2000000−2i32i3000-11−333−33i−3ii3−i3i3−i300000000000000000000000000000000
χ754-44-4-2-24-4-222-22210000-11-1-2002-223−23−232300−3i3i−3i3i20000002i3−2i3000-11−333−3−3i3i−i3i3−i3i300000000000000000000000000000000
χ764-44-4-2-24-4-222-22210000-11-1-2002-2−232323−23003i−3i3i−3i20000002i3−2i3000-113−3−333i−3i−i3i3−i3i300000000000000000000000000000000
χ774-44-4-2-24-4-222-22210000-11-1-2002-2−232323−2300−3i3i−3i3i2000000−2i32i3000-113−3−33−3i3ii3−i3i3−i300000000000000000000000000000000
χ784-44-4-2-2-44-222-22214i−4i00-11-1200-22−2i2i−2i2i003i−3i3i−3i-2000−2i2i0000001-1i−ii−i−3i3i3-3-3300000000000000000000000000000000
χ794-44-4-2-2-44-222-22214i−4i00-11-1200-22−2i2i−2i2i00−3i3i−3i3i-2000−2i2i0000001-1i−ii−i3i−3i-333-300000000000000000000000000000000
χ804-44-4-2-2-44-222-2221−4i4i00-11-1200-222i−2i2i−2i003i−3i3i−3i-20002i−2i0000001-1−ii−ii−3i3i-333-300000000000000000000000000000000
χ814-44-4-2-2-44-222-2221−4i4i00-11-1200-222i−2i2i−2i00−3i3i−3i3i-20002i−2i0000001-1−ii−ii3i−3i3-3-3300000000000000000000000000000000
χ824-4-444400-4-44-4-44400004-4-4000000000000000000000000000000000000000000−2i22i2000000000000000−2i22i20000000000
χ834-4-444400-4-44-4-44400004-4-40000000000000000000000000000000000000000002i2−2i20000000000000002i2−2i20000000000
χ844-4-44-2400224-4-4-2-20000-222000000000−2i32i3−2i32i32i3−2i3000000000000000000000000000−2i22i2000000000000000i2−i26−600000000
χ854-4-44-2400224-4-4-2-20000-222000000000−2i32i3−2i32i32i3−2i30000000000000000000000000002i2−2i2000000000000000−i2i2−6600000000
χ864-4-44-2400224-4-4-2-20000-2220000000002i3−2i32i3−2i3−2i32i3000000000000000000000000000−2i22i2000000000000000i2−i2−6600000000
χ874-4-44-2400224-4-4-2-20000-2220000000002i3−2i32i3−2i3−2i32i30000000000000000000000000002i2−2i2000000000000000−i2i26−600000000
χ8888-8-8-48004-4-8-884-4000044-400000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-4004-444-4420000-2-22043−4300000000−23−23232300000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-4004-444-4420000-2-220−4343000000002323−23−2300000000000000000000000000000000000000000000000000000000
χ918-8-888-400-8-8-4448-40000-44400000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-40044-444-4200002-2-2000000000−4i34i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000
χ938-8-88-4-40044-444-4200002-2-20000000004i3−4i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000

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