Finite Group Databasebeta

← Group #11897552

Character table — Group #11897552

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446688888888888888888812121212121212121212121212161616161624242424242424242424242424242436363636487272
order12223344666666223666121212124446666812121212242424242424242422444881212121212126612121244466812121212122424242444881244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-11111111-111-1-111-1-111-1-111-1-1-1-11-1-1
χ311111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-11-111-11-1-11111-1-1-1-111-1-11
χ411111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-111111111-1-1-111-1-1-1-111111-1-1-1-111-1-1-11-1
χ5111111111111111111111111-1-111111111111111111111-111111111-1-1111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1
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
χ7111111111111111111111111-1-1-11111-1-1-111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1111111-1-111-1
χ8111111111111111111111111-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-11-11-1-11-111-1-1-1-111-1-1111-11
χ911111111111111-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111111-1-1111-1-1111-11-1-1-1-1-1-1-1-111-1-11-11
χ1011111111111111-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-11111-11-1-1-1111-1-111-1-1-1-11111-1
χ1111111111111111-1-11111111111-1-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1111111-1-1-1-111-1-1-1-1-111
χ1211111111111111-1-11111111111-1-1-1-1-11-1-11111111111-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1
χ1311111111111111-1-111111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1111-11-1111-1-1-111-1-111-1-111-11-1
χ1411111111111111-1-111111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-11-11111111111-1-1-1-11
χ1511111111111111-1-111111111-1-1-1-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-111111-1-1
χ1611111111111111-1-111111111-1-1-1-1-1-1-11-1-11111111111-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111
χ17222222-2-2222222002222-2-2-2-22200000000-2-20000000000-22-200-2-2222200000000000-2000000002-200000
χ18222222-2-2222222002222-2-2-2-22200000000-2-20000000000-2-220022-2-22200000000000-200000000-2200000
χ19222222-2-2222222002222-2-2-2-2-2-200000000-2-2000000000022-200-2-222-2-200000000000200000000-2200000
χ20222222-2-2222222002222-2-2-2-2-2-200000000-2-200000000002-220022-2-2-2-2000000000002000000002-200000
χ2122222-1222-12-1-1222-1-1-1-12-1-1200222-1-12-1-1-1-1-1-122-1-1-1-12202222-1-1-1-100-1-12-1-1200-1-100-1-100-1-1000000000
χ2222222-1222-12-1-1222-1-1-1-12-1-1200222-1-12-1-1-1-1-1-122-1-1-1-1-2-20-2-2-2-2111100-1-12-1-1-2001100110011000000000
χ2322222-1222-12-1-1222-1-1-1-12-1-1200-222-1-1-211-1-111-2-21111220-2-222111100-1-1-211-200-1-1001100-1-1000000000
χ2422222-1222-12-1-1222-1-1-1-12-1-1200-222-1-1-211-1-111-2-21111-2-2022-2-2-1-1-1-100-1-1-2112001100-1-10011000000000
χ2522222-1222-12-1-12-2-2-1-1-1-12-1-12002-2-211-2-1-1-1-111-2-2111122022-2-2-1-1-1-100112-1-1-200-1-100110011000000000
χ2622222-1222-12-1-12-2-2-1-1-1-12-1-12002-2-211-2-1-1-1-111-2-21111-2-20-2-222111100112-1-12001100-1-100-1-1000000000
χ2722222-1222-12-1-12-2-2-1-1-1-12-1-1200-2-2-211211-1-1-1-122-1-1-1-1220-2-2-2-211110011-211200-1-100-1-10011000000000
χ2822222-1222-12-1-12-2-2-1-1-1-12-1-1200-2-2-211211-1-1-1-122-1-1-1-1-2-202222-1-1-1-10011-211-20011001100-1-1000000000
χ292222-1222-12-122-122-1-1-1-1-122-1222-1-122222-1-122-1-1-1-1-1-100200000000-1-1-1-1-1-1-1022002-100-1-100-1-10000-100
χ302222-1222-12-122-122-1-1-1-1-122-122-2-1-122-2-2-2-1-1-2-211111100200000000-1-1-1-111102-200-2-100-1-100110000100
χ312222-1222-12-122-122-1-1-1-1-122-1-2-22-1-122222-1-122-1-1-1-1-1-100-20000000011-1-1-1-1-10-2-200-21001100110000100
χ322222-1222-12-122-122-1-1-1-1-122-1-2-2-2-1-122-2-2-2-1-1-2-211111100-20000000011-1-11110-220021001100-1-10000-100
χ332222-1222-12-122-1-2-2-1-1-1-1-122-122211-2-2-222-1-1-2-211111100200000000-1-111-1-1-10-2200-2-1001100110000-100
χ342222-1222-12-122-1-2-2-1-1-1-1-122-122-211-2-22-2-2-1-122-1-1-1-1-1-100200000000-1-1111110-2-2002-1001100-1-10000100
χ352222-1222-12-122-1-2-2-1-1-1-1-122-1-2-2211-2-2-222-1-1-2-211111100-2000000001111-1-1-102-2002100-1-100-1-10000100
χ362222-1222-12-122-1-2-2-1-1-1-1-122-1-2-2-211-2-22-2-2-1-122-1-1-1-1-1-100-200000000111111102200-2100-1-100110000-100
χ3722-2-2222-222-2-2-2-22-22-22-22-22-20002-22-20002-2000000002-20002-20000002-20000002-20000002-2000000000
χ3822-2-2222-222-2-2-2-22-22-22-22-22-20002-22-20002-200000000-22000-220000002-2000000-22000000-22000000000
χ3922-2-2222-222-2-2-2-2-222-22-22-22-2000-22-220002-2000000002-2000-22000000-220000002-2000000-22000000000
χ4022-2-2222-222-2-2-2-2-222-22-22-22-2000-22-220002-200000000-220002-2000000-22000000-220000002-2000000000
χ4122-2-22-12-22-1-211-22-2-11-1121-1-20002-2-1103−3-113−30033−3−32-20002-23−33−300-1103−3000-11003−300-11000000000
χ4222-2-22-12-22-1-211-22-2-11-1121-1-20002-2-1103−3-113−30033−3−3-22000-22−33−3300-1103−30001-100−33001-1000000000
χ4322-2-22-12-22-1-211-22-2-11-1121-1-20002-2-110−33-11−3300−3−3332-20002-2−33−3300-110−33000-1100−3300-11000000000
χ4422-2-22-12-22-1-211-22-2-11-1121-1-20002-2-110−33-11−3300−3−333-22000-223−33−300-110−330001-1003−3001-1000000000
χ4522-2-22-12-22-1-211-2-22-11-1121-1-2000-221-103−3-11−3300−3−3332-2000-223−33−3001-103−3000-1100−33001-1000000000
χ4622-2-22-12-22-1-211-2-22-11-1121-1-2000-221-103−3-11−3300−3−333-220002-2−33−33001-103−30001-1003−300-11000000000
χ4722-2-22-12-22-1-211-2-22-11-1121-1-2000-221-10−33-113−30033−3−32-2000-22−33−33001-10−33000-11003−3001-1000000000
χ4822-2-22-12-22-1-211-2-22-11-1121-1-2000-221-10−33-113−30033−3−3-220002-23−33−3001-10−330001-100−3300-11000000000
χ4944444-2-4-44-24-2-2400-2-2-2-2-422-4000000000022000000000004-40022-2-200000000000000000000000000000
χ5044444-2-4-44-24-2-2400-2-2-2-2-422-400000000002200000000000-4400-2-22200000000000000000000000000000
χ514444-24-4-4-24-244-200-2-2-2-22-4-424400000000220000000000-400000000-2-2000000000002000000000000000
χ524444-24-4-4-24-244-200-2-2-2-22-4-42-4-4000000002200000000004000000002200000000000-2000000000000000
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
χ5744-4-444-4444-4-4-4-4004-44-4-44-440000000000-44000000000000000000000000000000000000000000000000
χ5844-4-44-2-444-2-422-400-22-22-4-22400000000002-200000000000000023−23−232300000000000000000000000000000
χ5944-4-44-2-444-2-422-400-22-22-4-22400000000002-2000000000000000−232323−2300000000000000000000000000000
χ6044-4-4-244-4-242-4-424-4-22-22-2-442000-224-4000-22000000000000000000000-220000000000000000000000000
χ6144-4-4-244-4-242-4-42-44-22-22-2-4420002-2-44000-220000000000000000000002-20000000000000000000000000
χ6244-4-4-24-44-242-4-4200-22-2224-4-200000000002-20000000000000000000000000000000000023−2300000000000
χ6344-4-4-24-44-242-4-4200-22-2224-4-200000000002-200000000000000000000000000000000000−232300000000000
χ6444-4-4-2-24-4-2-222224-41-11-1-22-22000-22-22023−231-123−2300−3−33300000000000001-10−330000000000000000000000
χ6544-4-4-2-24-4-2-222224-41-11-1-22-22000-22-220−23231-1−23230033−3−300000000000001-103−30000000000000000000000
χ6644-4-4-2-24-4-2-22222-441-11-1-22-220002-22-2023−231-1−23230033−3−30000000000000-110−330000000000000000000000
χ6744-4-4-2-24-4-2-22222-441-11-1-22-220002-22-20−23231-123−2300−3−3330000000000000-1103−30000000000000000000000
χ684-44-44400-4-44-44-40044-4-400000000000000000000000000000000000000000000000000000000000−2i22i2000
χ694-44-44400-4-44-44-40044-4-4000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ704-4-444400-4-4-44-44004-4-4400004-4000000000000000000000000000004-4000000000000000000000000000
χ714-4-444400-4-4-44-44004-4-440000-4400000000000000000000000000000-44000000000000000000000000000
χ724-4-44-24002-424-4-200-222-200004-4000000000000i6−i6i6−i6i6−i600000000000-22000000000000000000i6−i60000000
χ734-4-44-24002-424-4-200-222-200004-4000000000000−i6i6−i6i6−i6i600000000000-22000000000000000000−i6i60000000
χ744-4-44-24002-424-4-200-222-20000-44000000000000i6−i6i6−i6i6−i6000000000002-2000000000000000000−i6i60000000
χ754-4-44-24002-424-4-200-222-20000-44000000000000−i6i6−i6i6−i6i6000000000002-2000000000000000000i6−i60000000
χ768888-4-4-8-8-4-4-4-4-4-400222244440000000000-2-2000000000000000000000000000000000000000000000000
χ7788-8-8-4-4-88-4-44444002-22-24-44-40000000000-22000000000000000000000000000000000000000000000000
χ788-88-88-400-8484-4-800-4-4440000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-48004-8-4-88400-4-4440000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4-40044-44-440022-2-200000000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000
χ818-88-8-4-40044-44-440022-2-2000000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000
χ828-8-888-400-84-8-44800-444-40000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400444-44-4002-2-220000000000000000002i6−2i6−i6i6−i6i60000000000000000000000000000000000000000
χ848-8-88-4-400444-44-4002-2-22000000000000000000−2i62i6i6−i6i6−i60000000000000000000000000000000000000000

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