Finite Group Databasebeta

← Group #11889273

Character table — Group #11889273

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446688888888888888888812121212121212121212121212161616161624242424242424242424242424242436363636487272
order122233446666663446661212121244266812121212121224242424242424242222466881212121266612124446668121212122424242444881244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111111-11-1-1111-1-111-1-1-1-1-1-11-1-1
χ311111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-111-11-1111-111-1-1-1-111-1-111-11-1
χ411111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-11111-1-11111-1-1-111-1111-1-1-11111-1-1-1-111-1-1-1-11
χ5111111111111111111111111-1-1111111111111111111-111111111-1-11111111-1-11-111-1-1-111-1-111-1-1-1-1-1-1-1
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
χ7111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1111-1-1-1111-1-1-1-1111111-1-11-11
χ8111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1111-11-1-1-11-1-11111-1-1-1-11111-1
χ9111111111111111-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-11111111-1-11-1-1111-1-1-1-1-1-1-1-1-111-1-111-1
χ10111111111111111-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1111-1-11-111-1-1-1-1-111-1-111-1-1111-11
χ11111111111111111-1-1111111111-1-1-11-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-111
χ12111111111111111-1-1111111111-1-1-11-1-1-1-111111111111-1-11111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-111111111-1-1-1
χ13111111111111111-1-11111111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-1-11-1-111111-1-111-1-1-1-111-1-11
χ14111111111111111-1-11111111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-111-1-1-111111111111-1-1-11-1
χ15111111111111111-1-11111111-1-1-1-1-11-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-11111-1-1-1-111111-1-1
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-11111111111-1-1-1111111-1-111-1-1-1-1-111-1-1-1-1-111-1-1-1-111-1-1-1-1111
χ17222222-2-2222222200222-2-2-2-22200000000-2-200000000-2002-2220022-2-200000000-2000000000002-200000
χ18222222-2-2222222200222-2-2-2-22200000000-2-200000000-200-22-2-200222200000000-200000000000-2200000
χ19222222-2-2222222200222-2-2-2-2-2-200000000-2-2000000002002-22200-2-2-2-200000000200000000000-2200000
χ20222222-2-2222222200222-2-2-2-2-2-200000000-2-200000000200-22-2-200-2-222000000002000000000002-200000
χ2122222-122-12-12-12-122-1-1-1-122-1002-1-12-1-122-1-122-1-1-1-1-1-102222-1-12200-1-12-1-1-1-10020-1-1000-1-100-1-10000000
χ2222222-122-12-12-12-122-1-1-1-122-1002-1-12-1-122-1-122-1-1-1-1-1-10-2-2-2-211-2-200112-1-1-1-100-20110001100110000000
χ2322222-122-12-12-12-122-1-1-1-122-100-211-2-1-122-1-1-2-2111111022-2-211220011-211-1-100-20-1-10001100-1-10000000
χ2422222-122-12-12-12-122-1-1-1-122-100-211-2-1-122-1-1-2-21111110-2-222-1-1-2-200-1-1-211-1-1002011000-1-100110000000
χ2522222-122-12-12-12-1-2-2-1-1-1-122-1002-1-1-211-2-2-1-1-2-211111102222-1-1-2-200-1-12-1-11100-20-1-10001100110000000
χ2622222-122-12-12-12-1-2-2-1-1-1-122-1002-1-1-211-2-2-1-1-2-21111110-2-2-2-2112200112-1-111002011000-1-100-1-10000000
χ2722222-122-12-12-12-1-2-2-1-1-1-122-100-211211-2-2-1-122-1-1-1-1-1-1022-2-211-2-20011-211110020-1-1000-1-100110000000
χ2822222-122-12-12-12-1-2-2-1-1-1-122-100-211211-2-2-1-122-1-1-1-1-1-10-2-222-1-12200-1-1-2111100-20110001100-1-10000000
χ292222-12222-12-12-1-122-1-1-12-1-1222222222-1-1-1-1-1-122-1-1-1-1200000000-1-100-1-1-1-1-1220-1002-1-100-1-1000000-100
χ302222-12222-12-12-1-122-1-1-12-1-1222-2-2-2-222-1-1-1-111-2-21111200000000-1-100111-1-1-220-100-2-1-10011000000100
χ312222-12222-12-12-1-122-1-1-12-1-12-2-2222222-1-1-1-1-1-122-1-1-1-1-2000000001100-1-1-1-1-1-2-20100-2110011000000100
χ322222-12222-12-12-1-122-1-1-12-1-12-2-2-2-2-2-222-1-1-1-111-2-21111-2000000001100111-1-12-2010021100-1-1000000-100
χ332222-12222-12-12-1-1-2-2-1-1-12-1-1222222-2-2-211-1-111-2-21111200000000-1-100-1-1-1112-20-100-2110011000000-100
χ342222-12222-12-12-1-1-2-2-1-1-12-1-1222-2-2-22-2-211-1-1-1-122-1-1-1-1200000000-1-10011111-2-20-10021100-1-1000000100
χ352222-12222-12-12-1-1-2-2-1-1-12-1-12-2-2222-2-2-211-1-111-2-21111-2000000001100-1-1-111-2201002-1-100-1-1000000100
χ362222-12222-12-12-1-1-2-2-1-1-12-1-12-2-2-2-2-22-2-211-1-1-1-122-1-1-1-1-200000000110011111220100-2-1-10011000000-100
χ372-2-22222-2-222-2-2-222i−2i-22-22-22-20000002i−2i2i−2i2-20000000002-200002i−2i00000002i−2i00002-200000002i−2i0000000
χ382-2-22222-2-222-2-2-222i−2i-22-22-22-20000002i−2i2i−2i2-2000000000-220000−2i2i00000002i−2i0000-220000000−2i2i0000000
χ392-2-22222-2-222-2-2-22−2i2i-22-22-22-2000000−2i2i−2i2i2-20000000002-20000−2i2i0000000−2i2i00002-20000000−2i2i0000000
χ402-2-22222-2-222-2-2-22−2i2i-22-22-22-2000000−2i2i−2i2i2-2000000000-2200002i−2i0000000−2i2i0000-2200000002i−2i0000000
χ412-2-222-12-212-1-21-2-12i−2i1-11-1-221000−i3i30−ii2i−2i-11003−333−3−302-200−i3i32i−2i00−i3i30−i3i3−ii0000-110003−300−ii0000000
χ422-2-222-12-212-1-21-2-12i−2i1-11-1-221000−i3i30−ii2i−2i-11003−333−3−30-2200i3−i3−2i2i00i3−i30−i3i3−ii00001-1000−3300i−i0000000
χ432-2-222-12-212-1-21-2-12i−2i1-11-1-221000i3−i30−ii2i−2i-1100−33−3−33302-200i3−i32i−2i00i3−i30i3−i3−ii0000-11000−3300−ii0000000
χ442-2-222-12-212-1-21-2-12i−2i1-11-1-221000i3−i30−ii2i−2i-1100−33−3−3330-2200−i3i3−2i2i00−i3i30i3−i3−ii00001-10003−300i−i0000000
χ452-2-222-12-212-1-21-2-1−2i2i1-11-1-221000−i3i30i−i−2i2i-1100−33−3−33302-200−i3i3−2i2i00−i3i30−i3i3i−i0000-11000−3300i−i0000000
χ462-2-222-12-212-1-21-2-1−2i2i1-11-1-221000−i3i30i−i−2i2i-1100−33−3−3330-2200i3−i32i−2i00i3−i30−i3i3i−i00001-10003−300−ii0000000
χ472-2-222-12-212-1-21-2-1−2i2i1-11-1-221000i3−i30i−i−2i2i-11003−333−3−302-200i3−i3−2i2i00i3−i30i3−i3i−i0000-110003−300i−i0000000
χ482-2-222-12-212-1-21-2-1−2i2i1-11-1-221000i3−i30i−i−2i2i-11003−333−3−30-2200−i3i32i−2i00−i3i30i3−i3i−i00001-1000−3300−ii0000000
χ4944444-2-4-4-24-24-24-200-2-2-22-4-42000000000022000000000004-4-2-2000022000000000000000000000000000
χ5044444-2-4-4-24-24-24-200-2-2-22-4-4200000000002200000000000-44220000-2-2000000000000000000000000000
χ514444-24-4-44-24-24-2-200-2-2-2-422-444000000002200000000-400000000-2-200000000002000000000000000000
χ524444-24-4-44-24-24-2-200-2-2-2-422-4-4-4000000002200000000400000000220000000000-2000000000000000000
χ534444-2-244-2-2-2-2-2-2144111-2-2-2-2004-2-24-2-2-2-211-2-2-2-211110000000000000-211110000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-2-2-2-200-422-4-2-2-2-2112222-1-1-1-100000000000002-1-1110000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2004-2-2-42222112222-1-1-1-10000000000000-211-1-10000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200-4224222211-2-2-2-2111100000000000002-1-1-1-10000000000000000000000
χ5744-4-444004-4-4-4-44400-4-4400000000000000000000000000000000000000000000000000000000000−2i22i2000
χ5844-4-444004-4-4-4-44400-4-44000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ594-44-44400-4-4-444-44004-4-400004i−4i0000000000000000000000000004i−4i00000000000000000000000000000
χ604-44-44400-4-4-444-44004-4-40000−4i4i000000000000000000000000000−4i4i00000000000000000000000000000
χ614-44-4-2400-42-4-242-200-22200004i−4i00000000006−6006−66−6000000000−2i2i000000000000000000i6−i6000000000
χ624-44-4-2400-42-4-242-200-22200004i−4i0000000000−6600−66−66000000000−2i2i000000000000000000−i6i6000000000
χ634-44-4-2400-42-4-242-200-2220000−4i4i00000000006−6006−66−60000000002i−2i000000000000000000−i6i6000000000
χ644-44-4-2400-42-4-242-200-2220000−4i4i0000000000−6600−66−660000000002i−2i000000000000000000i6−i6000000000
χ654-4-4444-44-444-4-4-4400-44-4-44-440000000000-44000000000000000000000000000000000000000000000000
χ664-4-444-2-4424-2-42-4-2002-2224-4-200000000002-20000000000000−2i32i300002i3−2i3000000000000000000000000000
χ674-4-444-2-4424-2-42-4-2002-2224-4-200000000002-200000000000002i3−2i30000−2i32i3000000000000000000000000000
χ684-4-44-244-4-4-242-42-24i−4i2-2242-2-40000004i−4i−2i2i-22000000000000000000000000−2i2i0000000000000000000000
χ694-4-44-244-4-4-242-42-2−4i4i2-2242-2-4000000−4i4i2i−2i-220000000000000000000000002i−2i0000000000000000000000
χ704-4-44-24-44-4-242-42-2002-22-4-22400000000002-200000000000000000000000000000000023−230000000000000
χ714-4-44-24-44-4-242-42-2002-22-4-22400000000002-2000000000000000000000000000000000−23230000000000000
χ724-4-44-2-24-42-2-222214i−4i-11-1-22-22000−2i32i30−2i2i−2i2i1-10023−23−3−33300000000000000i3−i3i−i0000000000000000000000
χ734-4-44-2-24-42-2-222214i−4i-11-1-22-220002i3−2i30−2i2i−2i2i1-100−232333−3−300000000000000−i3i3i−i0000000000000000000000
χ744-4-44-2-24-42-2-22221−4i4i-11-1-22-22000−2i32i302i−2i2i−2i1-100−232333−3−300000000000000i3−i3−ii0000000000000000000000
χ754-4-44-2-24-42-2-22221−4i4i-11-1-22-220002i3−2i302i−2i2i−2i1-10023−23−3−33300000000000000−i3i3−ii0000000000000000000000
χ768888-4-4-8-8-4-4-4-4-4-420022244440000000000-2-2000000000000000000000000000000000000000000000000
χ7788-8-88-400-4-84-848-40044-40000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-480084-84-8-4-40044-40000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-44444-4200-2-220000000000000000000032−32−32320000000000000000000000000000000000000000
χ8088-8-8-4-400-44444-4200-2-2200000000000000000000−323232−320000000000000000000000000000000000000000
χ818-88-88-4004-848-4-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400444-4-442002-2-2000000000000000026−2600−66−660000000000000000000000000000000000000000
χ838-88-8-4-400444-4-442002-2-20000000000000000−2626006−66−60000000000000000000000000000000000000000
χ848-8-88-4-4-884-4-4444200-22-24-44-40000000000-22000000000000000000000000000000000000000000000000

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