Finite Group Databasebeta

← Group #11872972

Character table — Group #11872972

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order122233446666663446668812121212242424244444121212124121212121212121224242424242444444488121212122424242412121212122481212121212121224242224648
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-111-1-1-111-1-111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1111-1-111-1-1-1-1-1-1111111-11111-1-1-1-111-1-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-111-1-1-1-1-111111-1-1-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-111-1-11-11-1-1-111-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-11111111-1-11111-111-1-1-11-1111-1-111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-1111-1-1-1-1-1111111111-1-1
χ9111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1111111111-1-11-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-11-1-11
χ10111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111-1-1-1-1-11-1-1-111-1-1-1-1-1-1-111-111-1
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-111-1-11-1
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11-1-111-11
χ13111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-11-1-11111-11-1-1-1-111-1-11-1-1111-1
χ14111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-1-111-111-111-1-11111-111-1-1-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-111111-1-1111-1-11-1-111-1-1-1-1-111-11-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-111-11111-1-1-1-111111-1-111-1-11-11111-1-1111-1-11-11-1
χ17222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-2000000200-2000022-2-2000000000000-200000000-2002000
χ18222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-2000000-20020000-2-2-2-2000000000000200000000200-2000
χ19222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-2000000200-200002222000000000000-200000000200-2000
χ20222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-2000000-20020000-2-222000000000000200000000-2002000
χ2122222-1222-12-1-12-122-1-1-122-122-1222200000000222-1-122-1-1-1-1-1-1-1-120022200-1-1000000-1-1-1-1-1202-1-1-10000-1-10000-100
χ2222222-1222-12-1-12-122-1-1-122-122-1222200000000222-1-122-1-1-1-1-1-1-1-1-200-2-2-20011000000-1-1-1-1-1-20-21110000110000100
χ2322222-1222-12-1-12-122-1-1-1-2-2-122-1-2-2-2-200000000-222-1-1-2-2-1-111111120022200-1-10000001-1-111-20-2-1-1-10000110000100
χ2422222-1222-12-1-12-122-1-1-1-2-2-122-1-2-2-2-200000000-222-1-1-2-2-1-1111111-200-2-2-200110000001-1-1112021110000-1-10000-100
χ2522222-1222-12-1-12-1-2-2-1-1-122-122-1222200000000-2-2-211-2-2-1-1-1-1-1-1-1-12002-2-200-1-100000011111-202-1110000-1-10000100
χ2622222-1222-12-1-12-1-2-2-1-1-122-122-1222200000000-2-2-211-2-2-1-1-1-1-1-1-1-1-200-22200110000001111120-21-1-10000110000-100
χ2722222-1222-12-1-12-1-2-2-1-1-1-2-2-122-1-2-2-2-2000000002-2-21122-1-11111112002-2-200-1-1000000-111-1-120-2-1110000110000-100
χ2822222-1222-12-1-12-1-2-2-1-1-1-2-2-122-1-2-2-2-2000000002-2-21122-1-1111111-200-2220011000000-111-1-1-2021-1-10000-1-10000100
χ292222-1222-12-122-1-122-1-1-1222-1-12-1-1-1-12222-1-1-1-12-1-122-1-1-1-122-1-1-1-10220002200-1-1-1-1-1-12-1-1-1-1020000-1-1-1-1000000000
χ302222-1222-12-122-1-122-1-1-1222-1-12-1-1-1-1-2-2-2-211112-1-122-1-1-1-122-1-1-1-10-2-2000-2-2001111112-1-1-1-10-200001111000000000
χ312222-1222-12-122-1-122-1-1-1-2-22-1-1211112222-1-1-1-1-2-1-12211-1-1-2-21111022000-2-200-1-11111-2-1-1110-20000-1-111000000000
χ322222-1222-12-122-1-122-1-1-1-2-22-1-121111-2-2-2-21111-2-1-12211-1-1-2-211110-2-2000220011-1-1-1-1-2-1-11102000011-1-1000000000
χ332222-1222-12-122-1-1-2-2-1-1-1222-1-12-1-1-1-12222-1-1-1-1-211-2-211-1-122-1-1-1-10-2-20002200-1-1-1-1-1-1-211110-200001111000000000
χ342222-1222-12-122-1-1-2-2-1-1-1222-1-12-1-1-1-1-2-2-2-21111-211-2-211-1-122-1-1-1-1022000-2-200111111-21111020000-1-1-1-1000000000
χ352222-1222-12-122-1-1-2-2-1-1-1-2-22-1-1211112222-1-1-1-1211-2-2-1-1-1-1-2-211110-2-2000-2-200-1-11111211-1-102000011-1-1000000000
χ362222-1222-12-122-1-1-2-2-1-1-1-2-22-1-121111-2-2-2-21111211-2-2-1-1-1-1-2-21111022000220011-1-1-1-1211-1-10-20000-1-111000000000
χ372-22-2222-2-2-222-2-222-2-2-2200-22-2200002i−2i2i−2i2i2i−2i−2i02-22-200-2200000002i−2i00000002i−2i000002-2000000002i−2i00000000000
χ382-22-2222-2-2-222-2-222-2-2-2200-22-220000−2i2i−2i2i−2i−2i2i2i02-22-200-220000000−2i2i0000000−2i2i000002-200000000−2i2i00000000000
χ392-22-2222-2-2-222-2-22-22-2-2200-22-2200002i−2i2i−2i2i2i−2i−2i0-22-2200-220000000−2i2i00000002i−2i00000-2200000000−2i2i00000000000
χ402-22-2222-2-2-222-2-22-22-2-2200-22-220000−2i2i−2i2i−2i−2i2i2i0-22-2200-2200000002i−2i0000000−2i2i00000-22000000002i−2i00000000000
χ412-22-222-22-2-222-2-2200-2-22002-22-200002i−2i−2i2i2i2i−2i−2i00000002-200000000002i−2i0000−2i2i00000000000002i−2i00000002-20000
χ422-22-222-22-2-222-2-2200-2-22002-22-200002i−2i−2i2i2i2i−2i−2i00000002-20000000000−2i2i0000−2i2i0000000000000−2i2i0000000-220000
χ432-22-222-22-2-222-2-2200-2-22002-22-20000−2i2i2i−2i−2i−2i2i2i00000002-200000000002i−2i00002i−2i00000000000002i−2i0000000-220000
χ442-22-222-22-2-222-2-2200-2-22002-22-20000−2i2i2i−2i−2i−2i2i2i00000002-20000000000−2i2i00002i−2i0000000000000−2i2i00000002-20000
χ452-22-2-122-21-2-12-21-12-211-100-2-112−i3−i3i3i32i−2i2i−2i−i−iii0-112-2−i3i31-100−i3−i3i3i302i−2i0000000−ii33−3−30-11−i3i3000000−ii3−3000000000
χ462-22-2-122-21-2-12-21-12-211-100-2-112−i3−i3i3i3−2i2i−2i2iii−i−i0-112-2−i3i31-100−i3−i3i3i30−2i2i0000000i−i−3−3330-11−i3i3000000i−i−33000000000
χ472-22-2-122-21-2-12-21-12-211-100-2-112i3i3−i3−i32i−2i2i−2i−i−iii0-112-2i3−i31-100i3i3−i3−i302i−2i0000000−ii−3−3330-11i3−i3000000−ii−33000000000
χ482-22-2-122-21-2-12-21-12-211-100-2-112i3i3−i3−i3−2i2i−2i2iii−i−i0-112-2i3−i31-100i3i3−i3−i30−2i2i0000000i−i33−3−30-11i3−i3000000i−i3−3000000000
χ492-22-2-122-21-2-12-21-1-2211-100-2-112−i3−i3i3i32i−2i2i−2i−i−iii01-1-22i3−i31-100−i3−i3i3i30−2i2i0000000−ii33−3−301-1i3−i3000000i−i−33000000000
χ502-22-2-122-21-2-12-21-1-2211-100-2-112−i3−i3i3i3−2i2i−2i2iii−i−i01-1-22i3−i31-100−i3−i3i3i302i−2i0000000i−i−3−33301-1i3−i3000000−ii3−3000000000
χ512-22-2-122-21-2-12-21-1-2211-100-2-112i3i3−i3−i32i−2i2i−2i−i−iii01-1-22−i3i31-100i3i3−i3−i30−2i2i0000000−ii−3−33301-1−i3i3000000i−i3−3000000000
χ522-22-2-122-21-2-12-21-1-2211-100-2-112i3i3−i3−i3−2i2i−2i2iii−i−i01-1-22−i3i31-100i3i3−i3−i302i−2i0000000i−i33−3−301-1−i3i3000000−ii−33000000000
χ5344444-2-4-44-24-2-24-200-2-2-2002-4-42000000000000000000022000000400-40000-2-2000000000000002000000000000000
χ5444444-2-4-44-24-2-24-200-2-2-2002-4-42000000000000000000022000000-400400002200000000000000-2000000000000000
χ554444-24-4-4-24-244-2-200-2-2-200-422-4000044-4-4-2-2-2-20000000220000000000000000220000000000000000000000000000
χ564444-24-4-4-24-244-2-200-2-2-200-422-40000-4-44422220000000220000000000000000-2-20000000000000000000000000000
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
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2222200000000-4-2-2-2-2221122-1-1-1-10000000000000000211-1-10000000000000000000
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
χ604444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-222220000000042222-2-21122-1-1-1-10000000000000000-2-1-1110000000000000000000
χ6144-4-4440044-4-4-4-44004-4-400000000000000000000000000000000000000022−22000022−2222−22000000000000000000000000
χ6244-4-4440044-4-4-4-44004-4-4000000000000000000000000000000000000000−22220000−2222−2222000000000000000000000000
χ6344-4-4-2400-242-4-42-200-222000000i6−i6i6−i60000−2i32i3−2i32i300000000000i6−i6i6−i600000022−220000−22−22000000000000000000000000
χ6444-4-4-2400-242-4-42-200-222000000i6−i6i6−i600002i3−2i32i3−2i300000000000i6−i6i6−i6000000−222200002−22−2000000000000000000000000
χ6544-4-4-2400-242-4-42-200-222000000−i6i6−i6i60000−2i32i3−2i32i300000000000−i6i6−i6i6000000−222200002−22−2000000000000000000000000
χ6644-4-4-2400-242-4-42-200-222000000−i6i6−i6i600002i3−2i32i3−2i300000000000−i6i6−i6i600000022−220000−22−22000000000000000000000000
χ674-44-44-24-4-424-22-4-24-422-20024-4-200000000000004-4-22002-200000000000000000000000-22000000000000000000000
χ684-44-44-24-4-424-22-4-2-4422-20024-4-20000000000000-442-2002-2000000000000000000000002-2000000000000000000000
χ694-44-44-2-44-424-22-4-20022-200-2-4420000000000000000000-2200000000004i−4i0000000000000000000−2i2i0000000000000
χ704-44-44-2-44-424-22-4-20022-200-2-4420000000000000000000-220000000000−4i4i00000000000000000002i−2i0000000000000
χ714-44-4-24-442-4-24-42-20022-20042-2-400004i−4i−4i4i−2i−2i2i2i0000000-2200000000000000002i−2i0000000000000000000000000000
χ724-44-4-24-442-4-24-42-20022-20042-2-40000−4i4i4i−4i2i2i−2i−2i0000000-220000000000000000−2i2i0000000000000000000000000000
χ734-44-4-2-24-422-2-22214-4-1-11002-22-2−2i3−2i32i32i3000000000-22-22−2i32i3-1100i3i3−i3−i3000000000000000001-1i3−i30000000000000000000
χ744-44-4-2-24-422-2-22214-4-1-11002-22-22i32i3−2i3−2i3000000000-22-222i3−2i3-1100−i3−i3i3i3000000000000000001-1−i3i30000000000000000000
χ754-44-4-2-24-422-2-2221-44-1-11002-22-2−2i3−2i32i32i30000000002-22-22i3−2i3-1100i3i3−i3−i300000000000000000-11−i3i30000000000000000000
χ764-44-4-2-24-422-2-2221-44-1-11002-22-22i32i3−2i3−2i30000000002-22-2−2i32i3-1100−i3−i3i3i300000000000000000-11i3−i30000000000000000000
χ774-4-444400-4-4-4-444400-44-422−22000022−22−22220000000000000000022−2222−22−22220000000000000000000000000000000000000000
χ784-4-444400-4-4-4-444400-44-4−22220000−222222−2200000000000000000−2222−222222−220000000000000000000000000000000000000000
χ794-4-444-200-42-42-24-2002-2222−22000022−22−222200000000000000000−22−222−20000000023−230000000000000000000006−60000000
χ804-4-444-200-42-42-24-2002-2222−22000022−22−222200000000000000000−22−222−200000000−2323000000000000000000000−660000000
χ814-4-444-200-42-42-24-2002-22−22220000−222222−22000000000000000002−22−2−220000000023−23000000000000000000000−660000000
χ824-4-444-200-42-42-24-2002-22−22220000−222222−22000000000000000002−22−2−2200000000−23230000000000000000000006−60000000
χ834-4-44-24002-42-44-2-2002-2222−220000−222−2000023−23−232300000000022−22−222−2000000000000−666−6000000000000000000000000
χ844-4-44-24002-42-44-2-2002-2222−220000−222−20000−232323−2300000000022−22−222−20000000000006−6−66000000000000000000000000
χ854-4-44-24002-42-44-2-2002-22−222200002−2−22000023−23−2323000000000−22222−2−220000000000006−6−66000000000000000000000000
χ864-4-44-24002-42-44-2-2002-22−222200002−2−220000−232323−23000000000−22222−2−22000000000000−666−6000000000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-42002220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-88-4008-4-844-8-400-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-400-4-444442002-2-20000002i6−2i62i6−2i60000000000000000000−i6i6−i6i60000000000000000000000000000000000000000
χ9088-8-8-4-400-4-444442002-2-2000000−2i62i6−2i62i60000000000000000000i6−i6i6−i60000000000000000000000000000000000000000
χ918-88-8-4-4-8844-4-444200-2-2200-44-4400000000000000000002-20000000000000000000000000000000000000000000000
χ928-8-88-4-4004444-4-4200-22-242−420000−222222−2200000000000000000−22222−2−220000000000000000000000000000000000000000
χ938-8-88-4-4004444-4-4200-22-2−4242000022−22−22220000000000000000022−22−222−20000000000000000000000000000000000000000

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