Finite Group Databasebeta

← Group #11889243

Character table — Group #11889243

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446688888888888888888812121212121212121212121212161616161624242424242424242424242424242436363636487272
order12223344666666223666121212124446666812121212242424242424242422444668812121212661212122446668121212122424242444881244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111-1111-1-11-1-11111-1-1-1-1-1-11-1-1
χ311111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1111-1-111-1-1111111-1-1-111-1111-1-1-111-1-1-1-111-1-1-1-11
χ411111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-11-1-111-1-111-1-11111-1-1-1-11-11-1-1-11111-1-111-1-111-11-1
χ5111111111111111111111111-1-1111111111111111111-11111111111-1-1111111-1-1-111-111-1-1-1-111-1-1-1-1-1-1-1
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
χ7111111111111111111111111-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-11-11-1111-1-1-1-111-1-1-1-11111-1
χ8111111111111111111111111-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-11-1-1-1111-1-1111111-1-11-11
χ911111111111111-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-11111-1-1111-1-111-1-1-111-1-1-1-1-1-111-1-111-1
χ1011111111111111-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-111-1-11111-11111-1-1-1-1-1-1-111-1-1111-11
χ1111111111111111-1-11111111111-1-1-1-1-11-1-11111111111111-1-111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-111111111-1-1-1
χ1211111111111111-1-11111111111-1-1-1-1-11-1-111111111111-1-111-1-1-1-1-1-111-1-1-1-1-11-1-1111111-1-111-1-1-1-1-1-1-111
χ1311111111111111-1-111111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111-11-1-1-1-11111111-1-1-1-111-1-11
χ1411111111111111-1-111111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-1-1111-1-111111111-1-1-11-1
χ1511111111111111-1-111111111-1-1-1-1-1-1-11-1-11111111111-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1111
χ1611111111111111-1-111111111-1-1-1-1-1-1-11-1-11111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-11111-1-1-1-111111-1-1
χ17222222-2-2222222002222-2-2-2-22200000000-2-200000000-22-2002200-2-22200000000-200000000000-2200000
χ18222222-2-2222222002222-2-2-2-22200000000-2-200000000-2-2200-2-200222200000000-2000000000002-200000
χ19222222-2-2222222002222-2-2-2-2-2-200000000-2-20000000022-2002200-2-2-2-2000000002000000000002-200000
χ20222222-2-2222222002222-2-2-2-2-2-200000000-2-2000000002-2200-2-20022-2-200000000200000000000-2200000
χ2122222-12222-1-1-1222-1-1-1-1-122-100222-1-12-1-1-1-122-1-1-1-1-1-102222-1-122-1-100-1-12-1-12000-1-10-1-10000-1-10000000
χ2222222-12222-1-1-1222-1-1-1-1-122-100222-1-12-1-1-1-122-1-1-1-1-1-10-2-2-2-211-2-21100-1-12-1-1-2000110110000110000000
χ2322222-12222-1-1-1222-1-1-1-1-122-100-222-1-1-211-1-1-2-2111111022-2-2-1-1-2-2-1-100-1-1-2112000-1-10110000110000000
χ2422222-12222-1-1-1222-1-1-1-1-122-100-222-1-1-211-1-1-2-21111110-2-22211221100-1-1-211-2000110-1-10000-1-10000000
χ2522222-12222-1-1-12-2-2-1-1-1-1-122-1002-2-211-2-1-1-1-1-2-211111102222-1-1-2-2-1-100112-1-1-2000110-1-10000110000000
χ2622222-12222-1-1-12-2-2-1-1-1-1-122-1002-2-211-2-1-1-1-1-2-21111110-2-2-2-211221100112-1-12000-1-10110000-1-10000000
χ2722222-12222-1-1-12-2-2-1-1-1-1-122-100-2-2-211211-1-122-1-1-1-1-1-1022-2-2-1-122-1-10011-211-2000110110000-1-10000000
χ2822222-12222-1-1-12-2-2-1-1-1-1-122-100-2-2-211211-1-122-1-1-1-1-1-10-2-22211-2-2110011-2112000-1-10-1-10000110000000
χ292222-1222-1-1222-122-1-1-1-12-1-12222-1-122222-1-1-1-122-1-1-1-120000000000-1-1-1-1-1-1-1022-100200-1-1-1-1000000-100
χ302222-1222-1-1222-122-1-1-1-12-1-1222-2-1-122-2-2-2-1-111-2-2111120000000000-1-1-1-111102-2-100-200-1-111000000100
χ312222-1222-1-1222-122-1-1-1-12-1-12-2-22-1-122222-1-1-1-122-1-1-1-1-2000000000011-1-1-1-1-10-2-2100-2001111000000100
χ322222-1222-1-1222-122-1-1-1-12-1-12-2-2-2-1-122-2-2-2-1-111-2-21111-2000000000011-1-11110-2210020011-1-1000000-100
χ332222-1222-1-1222-1-2-2-1-1-1-12-1-1222211-2-2-222-1-111-2-2111120000000000-1-111-1-1-10-22-100-2001111000000-100
χ342222-1222-1-1222-1-2-2-1-1-1-12-1-1222-211-2-22-2-2-1-1-1-122-1-1-1-120000000000-1-1111110-2-2-10020011-1-1000000100
χ352222-1222-1-1222-1-2-2-1-1-1-12-1-12-2-2211-2-2-222-1-111-2-21111-200000000001111-1-1-102-2100200-1-1-1-1000000100
χ362222-1222-1-1222-1-2-2-1-1-1-12-1-12-2-2-211-2-22-2-2-1-1-1-122-1-1-1-1-200000000001111111022100-200-1-111000000-100
χ3722-2-2222-2-2-2-22-222-22-22-22-22-20002-22-20002-2000000000002i−2i002i−2i00002-200000000002i−2i00002i−2i0000000
χ3822-2-2222-2-2-2-22-222-22-22-22-22-20002-22-20002-200000000000−2i2i00−2i2i00002-20000000000−2i2i0000−2i2i0000000
χ3922-2-2222-2-2-2-22-22-222-22-22-22-2000-22-220002-2000000000002i−2i00−2i2i0000-2200000000002i−2i0000−2i2i0000000
χ4022-2-2222-2-2-2-22-22-222-22-22-22-2000-22-220002-200000000000−2i2i002i−2i0000-220000000000−2i2i00002i−2i0000000
χ4122-2-22-12-2-2-21-1122-2-11-11-1-2210002-2-1103−3-11003−333−3−30002i−2i−i3i32i−2i−i3i300-1103−30000−i3i30−ii0000−ii0000000
χ4222-2-22-12-2-2-21-1122-2-11-11-1-2210002-2-1103−3-11003−333−3−3000−2i2ii3−i3−2i2ii3−i300-1103−30000i3−i30i−i0000i−i0000000
χ4322-2-22-12-2-2-21-1122-2-11-11-1-2210002-2-110−33-1100−33−3−3330002i−2ii3−i32i−2ii3−i300-110−330000i3−i30−ii0000−ii0000000
χ4422-2-22-12-2-2-21-1122-2-11-11-1-2210002-2-110−33-1100−33−3−333000−2i2i−i3i3−2i2i−i3i300-110−330000−i3i30i−i0000i−i0000000
χ4522-2-22-12-2-2-21-112-22-11-11-1-221000-221-103−3-1100−33−3−3330002i−2i−i3i3−2i2i−i3i3001-103−30000i3−i30−ii0000i−i0000000
χ4622-2-22-12-2-2-21-112-22-11-11-1-221000-221-103−3-1100−33−3−333000−2i2ii3−i32i−2ii3−i3001-103−30000−i3i30i−i0000−ii0000000
χ4722-2-22-12-2-2-21-112-22-11-11-1-221000-221-10−33-11003−333−3−30002i−2ii3−i3−2i2ii3−i3001-10−330000−i3i30−ii0000i−i0000000
χ4822-2-22-12-2-2-21-112-22-11-11-1-221000-221-10−33-11003−333−3−3000−2i2i−i3i32i−2i−i3i3001-10−330000i3−i30i−i0000−ii0000000
χ4944444-2-4-444-2-2-2400-2-2-2-22-4-420000000000220000000004-400-2-2002200000000000000000000000000000
χ5044444-2-4-444-2-2-2400-2-2-2-22-4-42000000000022000000000-44002200-2-200000000000000000000000000000
χ514444-24-4-4-2-2444-200-2-2-2-2-422-444000000002200000000-40000000000-2-2000000002000000000000000000
χ524444-24-4-4-2-2444-200-2-2-2-2-422-4-4-4000000002200000000400000000002200000000-2000000000000000000
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
χ5744-4-444-44-4-4-44-44004-44-4-44-440000000000-44000000000000000000000000000000000000000000000000
χ5844-4-44-2-44-4-42-22400-22-2224-4-200000000002-20000000000000−2i32i3002i3−2i300000000000000000000000000000
χ5944-4-44-2-44-4-42-22400-22-2224-4-200000000002-200000000000002i3−2i300−2i32i300000000000000000000000000000
χ6044-4-4-244-422-44-4-24-4-22-2242-2-4000-224-4000-22000000000000000000000-220000000000000000000000000
χ6144-4-4-244-422-44-4-2-44-22-2242-2-40002-2-44000-220000000000000000000002-20000000000000000000000000
χ6244-4-4-24-4422-44-4-200-22-22-4-22400000000002-200000000000000000000000000000000000−2i32i300000000000
χ6344-4-4-24-4422-44-4-200-22-22-4-22400000000002-2000000000000000000000000000000000002i3−2i300000000000
χ6444-4-4-2-24-4222-22-24-41-11-1-22-22000-22-22023−231-10023−23−3−33300000000000001-10−330000000000000000000000
χ6544-4-4-2-24-4222-22-24-41-11-1-22-22000-22-220−23231-100−232333−3−300000000000001-103−30000000000000000000000
χ6644-4-4-2-24-4222-22-2-441-11-1-22-220002-22-2023−231-100−232333−3−30000000000000-110−330000000000000000000000
χ6744-4-4-2-24-4222-22-2-441-11-1-22-220002-22-20−23231-10023−23−3−3330000000000000-1103−30000000000000000000000
χ684-44-44400-444-4-4-4004-4-4400004i−4i000000000000000000000000000004i−4i000000000000000000000000000
χ694-44-44400-444-4-4-4004-4-440000−4i4i00000000000000000000000000000−4i4i000000000000000000000000000
χ704-44-4-24002-24-4-4200-222-200004i−4i0000000000i6−i600i6−i6i6−i600000000000−2i2i00000000000000006−6000000000
χ714-44-4-24002-24-4-4200-222-200004i−4i0000000000−i6i600−i6i6−i6i600000000000−2i2i0000000000000000−66000000000
χ724-44-4-24002-24-4-4200-222-20000−4i4i0000000000i6−i600i6−i6i6−i6000000000002i−2i0000000000000000−66000000000
χ734-44-4-24002-24-4-4200-222-20000−4i4i0000000000−i6i600−i6i6−i6i6000000000002i−2i00000000000000006−6000000000
χ744-4-4444004-4-4-44-40044-4-400000000000000000000000000000000000000000000000000000000000−2i22i2000
χ754-4-4444004-4-4-44-40044-4-4000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ768888-4-4-8-8-4-4-4-4-4-400222244440000000000-2-2000000000000000000000000000000000000000000000000
χ7788-8-8-4-4-88444-44-4002-22-24-44-40000000000-22000000000000000000000000000000000000000000000000
χ788-88-88-400-88-444-800-444-40000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-4004-4-4444002-2-2200000000000000002i6−2i600−i6i6−i6i60000000000000000000000000000000000000000
χ808-88-8-4-4004-4-4444002-2-220000000000000000−2i62i600i6−i6i6−i60000000000000000000000000000000000000000
χ818-8-888-4008-844-4-800-4-4440000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-4800-44-8-88400-4-4440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400-4444-440022-2-200000000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000
χ848-8-88-4-400-4444-440022-2-2000000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000

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