Finite Group Databasebeta

← Group #11872966

Character table — Group #11872966

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order1222334466666634466688121212122424242444441212121241212121212121212242424242424444444881212121224242424121212121244812121212121212242422241228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-111-1-1-111-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1111-1-111-1-1-1-1-1-111111-111-1-1-1-111111-1-1-1-11-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ511111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-111-1-1-1-1-111111-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-111-1-111-1-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-11111111-1-11111-1-1-1111-1-111-1-1111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-11111111-1-1-1-1-11111111-1-1
χ9111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1111111111-1-11-1-11111111111-1-1-1-1-1-1-11-1-1-1-11-1-1111-1-11-1-11
χ10111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111-1-1-1-1-1-11-1-1-1-1-1-111-1-1-111-111-1
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1111111-1-111-111-1-11-1
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-111-1-11-1-111-11
χ13111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-1111-1-111-111-1-11-1-1-1-11-1-1111-1
χ14111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111-1-11-1111-1-1-11111-111-1-1-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-11111111-1-1-11-1-1-1111-1-1-1-1-111-11-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-111-11111-1-1-1-11111111-1-1-1-11-1-111-111111-1-11-11-1
χ17222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-2000000200-2000022-2-20000000000000000-20000-2002000
χ18222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-2000000-20020000-2-2-2-2000000000000000020000200-2000
χ19222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-2000000200-2000022220000000000000000-20000200-2000
χ20222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-2000000-20020000-2-222000000000000000020000-2002000
χ2122222-12222-1-1-12-122-1-1-1222-1-12-1-1-1-12222-1-1-1-1222-1-1-1-1-1-122-1-1-1-10220002200-1-1-1-1-1-12-1-1-1-1200-1-1-1-1000000000000
χ2222222-12222-1-1-12-122-1-1-1222-1-12-1-1-1-1-2-2-2-21111222-1-1-1-1-1-122-1-1-1-10-2-2000-2-2001111112-1-1-1-1-2001111000000000000
χ2322222-12222-1-1-12-122-1-1-1-2-22-1-1211112222-1-1-1-1-222-1-111-1-1-2-21111022000-2-200-1-11111-211-1-1-20011-1-1000000000000
χ2422222-12222-1-1-12-122-1-1-1-2-22-1-121111-2-2-2-21111-222-1-111-1-1-2-211110-2-2000220011-1-1-1-1-211-1-1200-1-111000000000000
χ2522222-12222-1-1-12-1-2-2-1-1-1222-1-12-1-1-1-12222-1-1-1-1-2-2-21111-1-122-1-1-1-10-2-20002200-1-1-1-1-1-1-21111-2001111000000000000
χ2622222-12222-1-1-12-1-2-2-1-1-1222-1-12-1-1-1-1-2-2-2-21111-2-2-21111-1-122-1-1-1-1022000-2-200111111-21111200-1-1-1-1000000000000
χ2722222-12222-1-1-12-1-2-2-1-1-1-2-22-1-1211112222-1-1-1-12-2-211-1-1-1-1-2-211110-2-2000-2-200-1-111112-1-111200-1-111000000000000
χ2822222-12222-1-1-12-1-2-2-1-1-1-2-22-1-121111-2-2-2-211112-2-211-1-1-1-1-2-21111022000220011-1-1-1-12-1-111-20011-1-1000000000000
χ292222-1222-1-1222-1-122-1-1-122-122-12222000000002-1-12222-1-1-1-1-1-1-1-120022200-1-1000000-1-1-1-1-10220000-1-1-1-1-10000-100
χ302222-1222-1-1222-1-122-1-1-122-122-12222000000002-1-12222-1-1-1-1-1-1-1-1-200-2-2-20011000000-1-1-1-1-10-2-20000111110000100
χ312222-1222-1-1222-1-122-1-1-1-2-2-122-1-2-2-2-200000000-2-1-122-2-2-1-111111120022200-1-1000000111-1-10-2-20000-1-1-1110000100
χ322222-1222-1-1222-1-122-1-1-1-2-2-122-1-2-2-2-200000000-2-1-122-2-2-1-1111111-200-2-2-20011000000111-1-10220000111-1-10000-100
χ332222-1222-1-1222-1-1-2-2-1-1-122-122-1222200000000-211-2-2-2-2-1-1-1-1-1-1-1-12002-2-200-1-1000000111110-220000-111-1-10000100
χ342222-1222-1-1222-1-1-2-2-1-1-122-122-1222200000000-211-2-2-2-2-1-1-1-1-1-1-1-1-200-22200110000001111102-200001-1-1110000-100
χ352222-1222-1-1222-1-1-2-2-1-1-1-2-2-122-1-2-2-2-200000000211-2-222-1-11111112002-2-200-1-1000000-1-1-11102-20000-111110000-100
χ362222-1222-1-1222-1-1-2-2-1-1-1-2-2-122-1-2-2-2-200000000211-2-222-1-1111111-200-2220011000000-1-1-1110-2200001-1-1-1-10000100
χ372-22-2222-22-2-22-2-2200-2-2200-22-2200002i−2i2i−2i2i2i−2i−2i0000000-2200000000002i−2i00002i−2i000000000000000002i−2i0002-20000
χ382-22-2222-22-2-22-2-2200-2-2200-22-2200002i−2i2i−2i2i2i−2i−2i0000000-220000000000−2i2i00002i−2i00000000000000000−2i2i000-220000
χ392-22-2222-22-2-22-2-2200-2-2200-22-220000−2i2i−2i2i−2i−2i2i2i0000000-2200000000002i−2i0000−2i2i000000000000000002i−2i000-220000
χ402-22-2222-22-2-22-2-2200-2-2200-22-220000−2i2i−2i2i−2i−2i2i2i0000000-220000000000−2i2i0000−2i2i00000000000000000−2i2i0002-20000
χ412-22-222-222-2-22-2-222-2-2-22002-22-200002i−2i−2i2i2i2i−2i−2i02-22-2002-200000002i−2i0000000−2i2i00000002-2000002i−2i000000000000
χ422-22-222-222-2-22-2-222-2-2-22002-22-20000−2i2i2i−2i−2i−2i2i2i02-22-2002-20000000−2i2i00000002i−2i00000002-200000−2i2i000000000000
χ432-22-222-222-2-22-2-22-22-2-22002-22-200002i−2i−2i2i2i2i−2i−2i0-22-22002-20000000−2i2i0000000−2i2i0000000-2200000−2i2i000000000000
χ442-22-222-222-2-22-2-22-22-2-22002-22-20000−2i2i2i−2i−2i−2i2i2i0-22-22002-200000002i−2i00000002i−2i0000000-22000002i−2i000000000000
χ452-22-22-1-222-21-11-2-12-211-10021-1-233−3−32i−2i−2i2i−i−iii02-2-113−3-110033−3−302i−2i0000000i−i−i3−i3i3i303−3-11000−i3i3−ii000000000000
χ462-22-22-1-222-21-11-2-12-211-10021-1-233−3−3−2i2i2i−2iii−i−i02-2-113−3-110033−3−30−2i2i0000000−iii3i3−i3−i303−3-11000i3−i3i−i000000000000
χ472-22-22-1-222-21-11-2-12-211-10021-1-2−3−3332i−2i−2i2i−i−iii02-2-11−33-1100−3−33302i−2i0000000i−ii3i3−i3−i30−33-11000i3−i3−ii000000000000
χ482-22-22-1-222-21-11-2-12-211-10021-1-2−3−333−2i2i2i−2iii−i−i02-2-11−33-1100−3−3330−2i2i0000000−ii−i3−i3i3i30−33-11000−i3i3i−i000000000000
χ492-22-22-1-222-21-11-2-1-2211-10021-1-233−3−32i−2i−2i2i−i−iii0-221-1−33-110033−3−30−2i2i0000000i−i−i3−i3i3i30−331-1000i3−i3i−i000000000000
χ502-22-22-1-222-21-11-2-1-2211-10021-1-233−3−3−2i2i2i−2iii−i−i0-221-1−33-110033−3−302i−2i0000000−iii3i3−i3−i30−331-1000−i3i3−ii000000000000
χ512-22-22-1-222-21-11-2-1-2211-10021-1-2−3−3332i−2i−2i2i−i−iii0-221-13−3-1100−3−3330−2i2i0000000i−ii3i3−i3−i303−31-1000−i3i3i−i000000000000
χ522-22-22-1-222-21-11-2-1-2211-10021-1-2−3−333−2i2i2i−2iii−i−i0-221-13−3-1100−3−33302i−2i0000000−ii−i3−i3i3i303−31-1000i3−i3−ii000000000000
χ5344444-2-4-444-2-2-24-200-2-2-200-422-4000044-4-4-2-2-2-20000000220000000000000000220000000000000000000000000000
χ5444444-2-4-444-2-2-24-200-2-2-200-422-40000-4-44422220000000220000000000000000-2-20000000000000000000000000000
χ554444-24-4-4-2-2444-2-200-2-2-2002-4-42000000000000000000022000000400-40000-2-2000000000000000000200000000000
χ564444-24-4-4-2-2444-2-200-2-2-2002-4-42000000000000000000022000000-4004000022000000000000000000-200000000000
χ574444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-211110000000000000000-211110000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2222200000000-4-2-2-2-2221122-1-1-1-100000000000000002-1-1110000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-2-2-2-200000000-422222211-2-2111100000000000000002-1-1-1-10000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-222220000000042222-2-21122-1-1-1-10000000000000000-211-1-10000000000000000000
χ6144-4-44400-444-4-4-44004-4-422−22000022−2222−220000000000000000022−2222−2222−220000000000000000000000000000000000000000
χ6244-4-44400-444-4-4-44004-4-4−22220000−2222−222200000000000000000−2222−2222−22220000000000000000000000000000000000000000
χ6344-4-44-200-44-222-4-200-22222−220000−22−220000−2i32i3−2i32i300000000022−22−22−22000000000000i6−i6i6−i6000000000000000000000000
χ6444-4-44-200-44-222-4-200-22222−220000−22−2200002i3−2i32i3−2i300000000022−22−22−22000000000000−i6i6−i6i6000000000000000000000000
χ6544-4-44-200-44-222-4-200-222−222200002−22−20000−2i32i3−2i32i3000000000−22222−22−2000000000000−i6i6−i6i6000000000000000000000000
χ6644-4-44-200-44-222-4-200-222−222200002−22−200002i3−2i32i3−2i3000000000−22222−22−2000000000000i6−i6i6−i6000000000000000000000000
χ6744-4-4-24002-24-4-42-200-22222−22000022−2222−2200000000000000000−22−22−2200000000−2i32i3000000000000000000000i6−i60000000
χ6844-4-4-24002-24-4-42-200-22222−22000022−2222−2200000000000000000−22−22−22000000002i3−2i3000000000000000000000−i6i60000000
χ6944-4-4-24002-24-4-42-200-222−22220000−2222−2222000000000000000002−22−22−200000000−2i32i3000000000000000000000−i6i60000000
χ7044-4-4-24002-24-4-42-200-222−22220000−2222−2222000000000000000002−22−22−2000000002i3−2i3000000000000000000000i6−i60000000
χ714-44-44-24-44-42-22-4-20022-200-4-22400004i−4i4i−4i−2i−2i2i2i00000002-20000000000000000−2i2i0000000000000000000000000000
χ724-44-44-24-44-42-22-4-20022-200-4-2240000−4i4i−4i4i2i2i−2i−2i00000002-200000000000000002i−2i0000000000000000000000000000
χ734-44-4-244-4-22-44-42-20022-20024-4-200000000000000000002-200000000004i−4i00000000000000000000000−2i2i000000000
χ744-44-4-244-4-22-44-42-20022-20024-4-200000000000000000002-20000000000−4i4i000000000000000000000002i−2i000000000
χ754-44-4-24-44-22-44-42-24-422-200-2-4420000000000000-224-400-220000000000000000000000000-220000000000000000000
χ764-44-4-24-44-22-44-42-2-4422-200-2-44200000000000002-2-4400-2200000000000000000000000002-20000000000000000000
χ774-44-4-2-2-44-222-22214-4-1-1100-22-222323−23−23000000000-22-2223−231-100−3−33300000000000000000−331-10000000000000000000
χ784-44-4-2-2-44-222-22214-4-1-1100-22-22−23−232323000000000-22-22−23231-10033−3−3000000000000000003−31-10000000000000000000
χ794-44-4-2-2-44-222-2221-44-1-1100-22-222323−23−230000000002-22-2−23231-100−3−333000000000000000003−3-110000000000000000000
χ804-44-4-2-2-44-222-2221-44-1-1100-22-22−23−2323230000000002-22-223−231-10033−3−300000000000000000−33-110000000000000000000
χ814-4-444400-4-4-4-444400-44-400000000000000000000000000000000000000022−22000022−22−2222000000000000000000000000
χ824-4-444400-4-4-4-444400-44-4000000000000000000000000000000000000000−22220000−222222−22000000000000000000000000
χ834-4-444-200-4-422-24-2002-220000006−6−66000023−23−2323000000000006−6−66000000−222200002−2−22000000000000000000000000
χ844-4-444-200-4-422-24-2002-220000006−6−660000−232323−23000000000006−6−6600000022−220000−222−2000000000000000000000000
χ854-4-444-200-4-422-24-2002-22000000−666−6000023−23−232300000000000−666−600000022−220000−222−2000000000000000000000000
χ864-4-444-200-4-422-24-2002-22000000−666−60000−232323−2300000000000−666−6000000−222200002−2−22000000000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-42002220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4-4004-4-44442002-2-242−420000−2222−222200000000000000000−22222−22−20000000000000000000000000000000000000000
χ8988-8-8-4-4004-4-44442002-2-2−4242000022−2222−220000000000000000022−22−22−220000000000000000000000000000000000000000
χ908-88-8-4-48-8-444-444200-2-22004-44-40000000000000000000-220000000000000000000000000000000000000000000000
χ918-8-88-480044-8-88-4-4004-440000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-4004444-4-4200-22-200000026−26−26260000000000000000000−666−60000000000000000000000000000000000000000
χ938-8-88-4-4004444-4-4200-22-2000000−262626−2600000000000000000006−6−660000000000000000000000000000000000000000

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