Finite Group Databasebeta

← Group #11889705

Character table — Group #11889705

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446688888888888888888812121212121212121212121212161616161624242424242424242424242424242436363636487272
order1222334466666622366612121212224666681212121224242424242424242444466668812126612121224466812121212122424242444881244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-11-1-1-1-1-111-1-1-1-11111111-1111-1-11-1-111-1-1-1-1-1-11-1-1
χ311111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1111-1-11111-1-11111-1-1-11-1111-1-1-1111-1-1-1-111-1-1-11-1
χ411111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1-11-111-1-11111-1-111-1-1-11-1-111-1111-1-1-1-111-1-111-1-11
χ5111111111111111111111111-1-11111111111111111111-111111-1-1111111111-1-11-1-1-111-111-1-111-1-1-1-1-1-1-1
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
χ7111111111111111111111111-1-1-11111-1-1-111-1-1-1-1-1-1-1-11-11-1-111-1-1-1-11111-1-1-1-111-1-11-1-1-11111-1-1-1-1111-11
χ8111111111111111111111111-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11-1-1-1111-1-1-1111111-1-111-1
χ911111111111111-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-111-1-1111-11-1-1-1-1111-1-1-1-1-1-111-1-11-11
χ1011111111111111-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1111-111-1-1-1-1-1111-1-111-1-11111-1
χ1111111111111111-1-11111111111-1-1-1-1-11-1-11111111111111-1-111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-111111111-1-1-1
χ1211111111111111-1-11111111111-1-1-1-1-11-1-11111111111-11-111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-111
χ1311111111111111-1-111111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11-111111-1-1-1-111-1-11111-1-111111-1-1-111-1-1-1-111-11-1
χ1411111111111111-1-111111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11111-1-1-111111111-1-1-1-11
χ1511111111111111-1-111111111-1-1-1-1-1-1-11-1-111111111111-11-1-111-1-11111-1-1-1-1-111-111-1-1-1-1-1-1-1-111-1-1-1-1111
χ1611111111111111-1-111111111-1-1-1-1-1-1-11-1-11111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-111-1-1-1-111111-1-1
χ17222222-2-2222222002222-2-2-2-22200000000-2-2000000002-2-200222200-2-20000000000000-20000002-200000
χ18222222-2-2222222002222-2-2-2-22200000000-2-200000000-2-2200-2-22200220000000000000-2000000-2200000
χ19222222-2-2222222002222-2-2-2-2-2-200000000-2-20000000022-20022-2-200-2-200000000000002000000-2200000
χ20222222-2-2222222002222-2-2-2-2-2-200000000-2-200000000-22200-2-2-2-20022000000000000020000002-200000
χ2122222-1222-1-122-122-1-1-1-12-1-1222222-1-1222-1-1-1-122-1-1-1-10200000-1-10000-1-1-1-1-1220-1-1200-100-1-1000000-100
χ2222222-1222-1-122-122-1-1-1-12-1-1222-222-1-1-2-2-2-1-111-2-211110200000-1-10000-1-11112-20-1-1-200-10011000000100
χ2322222-1222-1-122-122-1-1-1-12-1-12-2-2222-1-1222-1-1-1-122-1-1-1-10-200000110000-1-1-1-1-1-2-2011-20010011000000100
χ2422222-1222-1-122-122-1-1-1-12-1-12-2-2-222-1-1-2-2-2-1-111-2-211110-200000110000-1-1111-22011200100-1-1000000-100
χ2522222-1222-1-122-1-2-2-1-1-1-12-1-12222-2-211-222-1-111-2-211110200000-1-1000011-1-1-1-22011-200-10011000000-100
χ2622222-1222-1-122-1-2-2-1-1-1-12-1-1222-2-2-2112-2-2-1-1-1-122-1-1-1-10200000-1-1000011111-2-2011200-100-1-1000000100
χ2722222-1222-1-122-1-2-2-1-1-1-12-1-12-2-22-2-211-222-1-111-2-211110-20000011000011-1-1-12-20-1-1200100-1-1000000100
χ2822222-1222-1-122-1-2-2-1-1-1-12-1-12-2-2-2-2-2112-2-2-1-1-1-122-1-1-1-10-20000011000011111220-1-1-20010011000000-100
χ292222-1222-122-1-1222-1-1-1-1-122-1002-1-1222-1-1-1-122-1-1-1-1-1-120222-1-10022-1-1-1-12-1-1002000-1-10-1-100-1-10000000
χ302222-1222-122-1-1222-1-1-1-1-122-1002-1-1222-1-1-1-122-1-1-1-1-1-1-20-2-2-21100-2-211-1-12-1-100-20001101100110000000
χ312222-1222-122-1-1222-1-1-1-1-122-100-2-1-122-211-1-1-2-2111111202-2-2-1-100-2-2-1-1-1-1-211002000110-1-100110000000
χ322222-1222-122-1-1222-1-1-1-1-122-100-2-1-122-211-1-1-2-2111111-20-22211002211-1-1-21100-2000-1-101100-1-10000000
χ332222-1222-122-1-12-2-2-1-1-1-1-122-100211-2-2-2-1-1-1-1-2-211111120222-1-100-2-2-1-1112-1-100-2000-1-101100110000000
χ342222-1222-122-1-12-2-2-1-1-1-1-122-100211-2-2-2-1-1-1-1-2-2111111-20-2-2-211002211112-1-1002000110-1-100-1-10000000
χ352222-1222-122-1-12-2-2-1-1-1-1-122-100-211-2-2211-1-122-1-1-1-1-1-1202-2-2-1-10022-1-111-21100-20001101100-1-10000000
χ362222-1222-122-1-12-2-2-1-1-1-1-122-100-211-2-2211-1-122-1-1-1-1-1-1-20-2221100-2-21111-211002000-1-10-1-100110000000
χ372-22-2222-2-2-2-2-2222-22-22-22-22-20002-22-20002-2000000000002i−2i00002i−2i002-20000000002i−2i000002i−2i0000000
χ382-22-2222-2-2-2-2-2222-22-22-22-22-20002-22-20002-200000000000−2i2i0000−2i2i002-2000000000−2i2i00000−2i2i0000000
χ392-22-2222-2-2-2-2-222-222-22-22-22-2000-22-220002-2000000000002i−2i0000−2i2i00-220000000002i−2i00000−2i2i0000000
χ402-22-2222-2-2-2-2-222-222-22-22-22-2000-22-220002-200000000000−2i2i00002i−2i00-22000000000−2i2i000002i−2i0000000
χ412-22-2-122-21-2-21-122-2-11-11-1-221000-112-203−3-11003−333−3−30002i−2i−i3i3002i−2i−i3i3-1103−3000000−ii0−i3i300−ii0000000
χ422-22-2-122-21-2-21-122-2-11-11-1-221000-112-203−3-11003−333−3−3000−2i2ii3−i300−2i2ii3−i3-1103−3000000i−i0i3−i300i−i0000000
χ432-22-2-122-21-2-21-122-2-11-11-1-221000-112-20−33-1100−33−3−3330002i−2ii3−i3002i−2ii3−i3-110−33000000−ii0i3−i300−ii0000000
χ442-22-2-122-21-2-21-122-2-11-11-1-221000-112-20−33-1100−33−3−333000−2i2i−i3i300−2i2i−i3i3-110−33000000i−i0−i3i300i−i0000000
χ452-22-2-122-21-2-21-12-22-11-11-1-2210001-1-2203−3-1100−33−3−3330002i−2i−i3i300−2i2i−i3i31-103−3000000−ii0i3−i300i−i0000000
χ462-22-2-122-21-2-21-12-22-11-11-1-2210001-1-2203−3-1100−33−3−333000−2i2ii3−i3002i−2ii3−i31-103−3000000i−i0−i3i300−ii0000000
χ472-22-2-122-21-2-21-12-22-11-11-1-2210001-1-220−33-11003−333−3−30002i−2ii3−i300−2i2ii3−i31-10−33000000−ii0−i3i300i−i0000000
χ482-22-2-122-21-2-21-12-22-11-11-1-2210001-1-220−33-11003−333−3−3000−2i2i−i3i3002i−2i−i3i31-10−33000000i−i0i3−i300−ii0000000
χ4944444-2-4-44-2-244-200-2-2-2-2-422-4440000000022000000000-400000-2-20000000000000000020000000000000
χ5044444-2-4-44-2-244-200-2-2-2-2-422-4-4-400000000220000000004000002200000000000000000-20000000000000
χ514444-24-4-4-244-2-2400-2-2-2-22-4-420000000000220000000040-400-2-2000022000000000000000000000000000
χ524444-24-4-4-244-2-2400-2-2-2-22-4-4200000000002200000000-40400220000-2-2000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2441111-2-2-2-2004-2-2-2-24-2-211-2-2-2-21111000000000000011-2110000000000000000000000
χ544444-2-244-2-2-2-2-2-2441111-2-2-2-200-4-2-2-2-2-422112222-1-1-1-10000000000000112-1-10000000000000000000000
χ554444-2-244-2-2-2-2-2-2-4-41111-2-2-2-20042222-4-2-2112222-1-1-1-10000000000000-1-1-2110000000000000000000000
χ564444-2-244-2-2-2-2-2-2-4-41111-2-2-2-200-4222242211-2-2-2-211110000000000000-1-12-1-10000000000000000000000
χ5744-4-4440044-4-4-4-40044-4-400004-400000000000000000000000004-40000000000000000000000000000000
χ5844-4-4440044-4-4-4-40044-4-40000-440000000000000000000000000-440000000000000000000000000000000
χ5944-4-44-2004-22-4-4200-2-22200004-400000000006−6006−66−60000000-22000000000000000000006−6000000000
χ6044-4-44-2004-22-4-4200-2-22200004-40000000000−6600−66−660000000-2200000000000000000000−66000000000
χ6144-4-44-2004-22-4-4200-2-2220000-4400000000006−6006−66−600000002-200000000000000000000−66000000000
χ6244-4-44-2004-22-4-4200-2-2220000-440000000000−6600−66−6600000002-2000000000000000000006−6000000000
χ634-44-444-44-4-4-4-444004-44-4-44-440000000000-44000000000000000000000000000000000000000000000000
χ644-44-44-24-4-422-44-24-4-22-2242-2-40004-4-22000-22000000000000000000000-220000000000000000000000000
χ654-44-44-24-4-422-44-2-44-22-2242-2-4000-442-2000-220000000000000000000002-20000000000000000000000000
χ664-44-44-2-44-422-44-200-22-22-4-22400000000002-200000000000000000000000000000−2i32i300000000000000000
χ674-44-44-2-44-422-44-200-22-22-4-22400000000002-2000000000000000000000000000002i3−2i300000000000000000
χ684-44-4-24-442-4-42-2400-22-2224-4-200000000002-20000000000000−2i32i300002i3−2i3000000000000000000000000000
χ694-44-4-24-442-4-42-2400-22-2224-4-200000000002-200000000000002i3−2i30000−2i32i3000000000000000000000000000
χ704-44-4-2-24-42222-2-24-41-11-1-22-22000-22-22023−231-10023−23−3−33300000000000001-10−330000000000000000000000
χ714-44-4-2-24-42222-2-24-41-11-1-22-22000-22-220−23231-100−232333−3−300000000000001-103−30000000000000000000000
χ724-44-4-2-24-42222-2-2-441-11-1-22-220002-22-2023−231-100−232333−3−30000000000000-110−330000000000000000000000
χ734-44-4-2-24-42222-2-2-441-11-1-22-220002-22-20−23231-10023−23−3−3330000000000000-1103−30000000000000000000000
χ744-4-444400-4-444-4-4004-4-440000000000000000000000000000000000000000000000000000000000022−22000
χ754-4-444400-4-444-4-4004-4-4400000000000000000000000000000000000000000000000000000000000−2222000
χ768888-4-4-8-8-4-4-4-4-4-400222244440000000000-2-2000000000000000000000000000000000000000000000000
χ7788-8-8-4800-48-844-800-4-4440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-400-4-444440022-2-2000000000000000026−2600−66−660000000000000000000000000000000000000000
χ7988-8-8-4-400-4-444440022-2-20000000000000000−2626006−66−60000000000000000000000000000000000000000
χ808-88-8-4-4-884444-4-4002-22-24-44-40000000000-22000000000000000000000000000000000000000000000000
χ818-8-888-400-84-48-8400-444-40000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-48004-88-44-800-444-40000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-40044-4-444002-2-220000000000000000000032−32−32320000000000000000000000000000000000000000
χ848-8-88-4-40044-4-444002-2-2200000000000000000000−323232−320000000000000000000000000000000000000000

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