Finite Group Databasebeta

← Group #11889427

Character table — Group #11889427

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446688888888888888888812121212121212121212121212161616161624242424242424242424242424242436363636487272
order122233446666663446661212121222481212121212121212242424242424242424444666688121212121212124448121212121212122424242444881244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-11-1-1-111-1-1-1-1-1-11111111-111-1-111-1-111-1-1-1-1-1-11-1-1
χ311111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1111-1-11111-1-111-111-1-11-11-111111-1-1-1-1-1-111-1-1-11-1
χ411111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-11-11111-1-111-1-1-111-1-11-1-1-11-1-11111-1-111-1-111-1-11
χ5111111111111111111111111-1-11111111111111111111-1111-1-111111111111-1-11-1-111-1-111-1-111-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ7111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11-11-1-1-1-111-1-111-111-1-1-1111-111-1-1-1-111-1-1-1-1111-11
χ8111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-111-1-1-11-11-1-1-1-1-111111111-1-111-1
χ9111111111111111-1-11111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1111-1-111-11-1-11-1-1-1-111-1-1-1-111-1-11-11
χ10111111111111111-1-11111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-11-1-111-111-1111-1-1-1-1-1-111-1-11111-1
χ11111111111111111-1-1111111111-11-1-1-1-1-1-11111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1
χ12111111111111111-1-1111111111-11-1-1-1-1-1-11111111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-111
χ13111111111111111-1-11111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11-1111-1-111-1-1111-1-1111-1-11-1-1-1111111-1-1-1-111-11-1
χ14111111111111111-1-11111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1111-111-11111-1-1111111-1-1-1-11
χ15111111111111111-1-11111111-1-1-11-1-1-1-1-1-111111111111-11-1-1-1-1111111-1-1-1-1-111-1-1-1-1-111-1-1-1-111-1-1-1-1111
χ16111111111111111-1-11111111-1-1-11-1-1-1-1-1-11111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-111111-1-1
χ17222222-2-2222222200222-2-2-2-22200000000-2-2000000002-2-200222200-2-2000000000-200000000002-200000
χ18222222-2-2222222200222-2-2-2-22200000000-2-200000000-2-220022-2-20022000000000-20000000000-2200000
χ19222222-2-2222222200222-2-2-2-2-2-200000000-2-20000000022-200-2-22200-2-200000000020000000000-2200000
χ20222222-2-2222222200222-2-2-2-2-2-200000000-2-200000000-22200-2-2-2-20022000000000200000000002-200000
χ2122222-12222-1-1-12-122-1-1-12-1-12222222-1-122-1-1-1-122-1-1-1-102000-1-1000000-1-1-1-1-12202-100-1-100-1-1000000-100
χ2222222-12222-1-1-12-122-1-1-12-1-1222-2-222-1-1-2-2-1-111-2-2111102000-1-10000001-1-1112-20-2-100-1-10011000000100
χ2322222-12222-1-1-12-122-1-1-12-1-12-2-22222-1-122-1-1-1-122-1-1-1-10-200011000000-1-1-1-1-1-2-20-2100110011000000100
χ2422222-12222-1-1-12-122-1-1-12-1-12-2-2-2-222-1-1-2-2-1-111-2-211110-2000110000001-1-111-22021001100-1-1000000-100
χ2522222-12222-1-1-12-1-2-2-1-1-12-1-12222-2-2-21122-1-111-2-2111102000-1-1000000-111-1-1-220-2-100110011000000-100
χ2622222-12222-1-1-12-1-2-2-1-1-12-1-1222-22-2-211-2-2-1-1-1-122-1-1-1-102000-1-100000011111-2-202-1001100-1-1000000100
χ2722222-12222-1-1-12-1-2-2-1-1-12-1-12-2-22-2-2-21122-1-111-2-211110-200011000000-111-1-12-202100-1-100-1-1000000100
χ2822222-12222-1-1-12-1-2-2-1-1-12-1-12-2-2-22-2-211-2-2-1-1-1-122-1-1-1-10-20001100000011111220-2100-1-10011000000-100
χ292222-1222-1-1222-1-122-1-1-1-122-10022-1-122-1-1-1-122-1-1-1-1-1-12022200-1-122-1-12-1-1-1-100200-1-100-1-100-1-10000000
χ302222-1222-1-1222-1-122-1-1-1-122-10022-1-122-1-1-1-122-1-1-1-1-1-1-20-2-2-20011-2-2112-1-1-1-100-20011001100110000000
χ312222-1222-1-1222-1-122-1-1-1-122-100-2-2-1-12211-1-1-2-2111111202-2-200-1-1-2-2-1-1-2-1-11100200-1-1001100110000000
χ322222-1222-1-1222-1-122-1-1-1-122-100-2-2-1-12211-1-1-2-2111111-20-22200112211-2-1-11100-2001100-1-100-1-10000000
χ332222-1222-1-1222-1-1-2-2-1-1-1-122-1002-211-2-2-1-1-1-1-2-21111112022200-1-1-2-2-1-1211-1-100-2001100-1-100110000000
χ342222-1222-1-1222-1-1-2-2-1-1-1-122-1002-211-2-2-1-1-1-1-2-2111111-20-2-2-200112211211-1-100200-1-1001100-1-10000000
χ352222-1222-1-1222-1-1-2-2-1-1-1-122-100-2211-2-211-1-122-1-1-1-1-1-1202-2-200-1-122-1-1-2111100-20011001100-1-10000000
χ362222-1222-1-1222-1-1-2-2-1-1-1-122-100-2211-2-211-1-122-1-1-1-1-1-1-20-2220011-2-211-2111100200-1-100-1-100110000000
χ372-2-22222-2-2-22-2-2222i−2i-2-222-22-200002i−2i2i−2i002-2000000000002-200002i−2i0002i−2i000000000002-2002i−2i0000000
χ382-2-22222-2-2-22-2-2222i−2i-2-222-22-200002i−2i2i−2i002-200000000000-220000−2i2i0002i−2i00000000000-2200−2i2i0000000
χ392-2-22222-2-2-22-2-222−2i2i-2-222-22-20000−2i2i−2i2i002-2000000000002-20000−2i2i000−2i2i000000000002-200−2i2i0000000
χ402-2-22222-2-2-22-2-222−2i2i-2-222-22-20000−2i2i−2i2i002-200000000000-2200002i−2i000−2i2i00000000000-22002i−2i0000000
χ412-2-22-122-2112-2-2-1-12i−2i11-1-1-2210000−ii2i−2i−i3i3-11003−333−3−30002-200−i3i32i−2i−i3i30−ii−i3i3000003−300-1100−ii0000000
χ422-2-22-122-2112-2-2-1-12i−2i11-1-1-2210000−ii2i−2i−i3i3-11003−333−3−3000-2200i3−i3−2i2ii3−i30−ii−i3i300000−33001-100i−i0000000
χ432-2-22-122-2112-2-2-1-12i−2i11-1-1-2210000−ii2i−2ii3−i3-1100−33−3−3330002-200i3−i32i−2ii3−i30−iii3−i300000−3300-1100−ii0000000
χ442-2-22-122-2112-2-2-1-12i−2i11-1-1-2210000−ii2i−2ii3−i3-1100−33−3−333000-2200−i3i3−2i2i−i3i30−iii3−i3000003−3001-100i−i0000000
χ452-2-22-122-2112-2-2-1-1−2i2i11-1-1-2210000i−i−2i2i−i3i3-1100−33−3−3330002-200−i3i3−2i2i−i3i30i−i−i3i300000−3300-1100i−i0000000
χ462-2-22-122-2112-2-2-1-1−2i2i11-1-1-2210000i−i−2i2i−i3i3-1100−33−3−333000-2200i3−i32i−2ii3−i30i−i−i3i3000003−3001-100−ii0000000
χ472-2-22-122-2112-2-2-1-1−2i2i11-1-1-2210000i−i−2i2ii3−i3-11003−333−3−30002-200i3−i3−2i2ii3−i30i−ii3−i3000003−300-1100i−i0000000
χ482-2-22-122-2112-2-2-1-1−2i2i11-1-1-2210000i−i−2i2ii3−i3-11003−333−3−3000-2200−i3i32i−2i−i3i30i−ii3−i300000−33001-100−ii0000000
χ4944444-2-4-444-2-2-24-200-2-2-2-422-4440000000022000000000-4000-2-2000000000000000200000000000000000
χ5044444-2-4-444-2-2-24-200-2-2-2-422-4-4-40000000022000000000400022000000000000000-200000000000000000
χ514444-24-4-4-2-2444-2-200-2-2-22-4-420000000000220000000040-40000-2-20022000000000000000000000000000
χ524444-24-4-4-2-2444-2-200-2-2-22-4-4200000000002200000000-40400002200-2-2000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2144111-2-2-2-20044-2-2-2-2-2-211-2-2-2-211110000000000000-211110000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-2-2-2-200-4-4-2-2-2-222112222-1-1-1-10000000000000211-1-10000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2004-42222-2-2112222-1-1-1-10000000000000-2-1-1110000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200-4422222211-2-2-2-2111100000000000002-1-1-1-10000000000000000000000
χ5744-4-444004-4-4-44-4400-44-400004-4000000000000000000000004-4000000000000000000000000000000000
χ5844-4-444004-4-4-44-4400-44-40000-4400000000000000000000000-44000000000000000000000000000000000
χ5944-4-44-2004-422-2-4-2002-2200004-400000000006−6006−66−600000-2200000000000000000000006−6000000000
χ6044-4-44-2004-422-2-4-2002-2200004-40000000000−6600−66−6600000-220000000000000000000000−66000000000
χ6144-4-44-2004-422-2-4-2002-220000-4400000000006−6006−66−6000002-20000000000000000000000−66000000000
χ6244-4-44-2004-422-2-4-2002-220000-440000000000−6600−66−66000002-200000000000000000000006−6000000000
χ634-44-44400-44-44-4-44004-4-40000000000000000000000000000000000000000000000000000000000022−22000
χ644-44-44400-44-44-4-44004-4-400000000000000000000000000000000000000000000000000000000000−2222000
χ654-4-4444-44-4-44-4-44400-4-44-44-440000000000-44000000000000000000000000000000000000000000000000
χ664-4-444-24-4-4-4-2224-24i−4i22-242-2-400004i−4i−2i2i00-220000000000000000000000−2i2i000000000000000000000000
χ674-4-444-24-4-4-4-2224-2−4i4i22-242-2-40000−4i4i2i−2i00-2200000000000000000000002i−2i000000000000000000000000
χ684-4-444-2-44-4-4-2224-20022-2-4-22400000000002-200000000000000000000000000000000023−230000000000000
χ694-4-444-2-44-4-4-2224-20022-2-4-22400000000002-2000000000000000000000000000000000−23230000000000000
χ704-4-44-24-44224-4-4-2-20022-224-4-200000000002-2000000000000000−2i32i3002i3−2i3000000000000000000000000000
χ714-4-44-24-44224-4-4-2-20022-224-4-200000000002-20000000000000002i3−2i300−2i32i3000000000000000000000000000
χ724-4-44-2-24-422-222-214i−4i-1-11-22-220000−2i2i−2i2i−2i32i31-10023−23−3−33300000000000000i−ii3−i30000000000000000000000
χ734-4-44-2-24-422-222-214i−4i-1-11-22-220000−2i2i−2i2i2i3−2i31-100−232333−3−300000000000000i−i−i3i30000000000000000000000
χ744-4-44-2-24-422-222-21−4i4i-1-11-22-2200002i−2i2i−2i−2i32i31-100−232333−3−300000000000000−iii3−i30000000000000000000000
χ754-4-44-2-24-422-222-21−4i4i-1-11-22-2200002i−2i2i−2i2i3−2i31-10023−23−3−33300000000000000−ii−i3i30000000000000000000000
χ768888-4-4-8-8-4-4-4-4-4-420022244440000000000-2-2000000000000000000000000000000000000000000000000
χ7788-8-8-4800-44-8-884-4004-440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-400-4444-44200-22-2000000000000000026−2600−66−660000000000000000000000000000000000000000
χ7988-8-8-4-400-4444-44200-22-20000000000000000−2626006−66−60000000000000000000000000000000000000000
χ808-88-88-400-884-44-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-48004-4-88-84-400-4440000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-4004-44-4442002-2-20000000000000000000032−32−32320000000000000000000000000000000000000000
χ838-88-8-4-4004-44-4442002-2-200000000000000000000−323232−320000000000000000000000000000000000000000
χ848-8-88-4-4-8844-444-4200-2-224-44-40000000000-22000000000000000000000000000000000000000000000000

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