Finite Group Databasebeta

← Group #11771941

Character table — Group #11771941

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11112244444444444444448888888888888888888888888883636363672727272727272727272
order122222336666666666666644412121212121212121212121212121212121212121212121222444444448888
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-1-1-1ii−i−iii−i−i
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1−i−iii−i−iii
χ511111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ611111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ711111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii
χ811111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i
χ92222222222222222222222-200-2-2-2-2-2-2-2-2000000000000000022-2-20000000000
χ102222222222222222222222-200-2-2-2-2-2-2-2-20000000000000000-2-2220000000000
χ1122-2-22-222222222-2-2-2-2-2-2-2-20000000000000000000000000002-2000000002−22−2
χ1222-2-22-222222222-2-2-2-2-2-2-2-20000000000000000000000000002-200000000−22−22
χ1322-2-22-222222222-2-2-2-2-2-2-2-2000000000000000000000000000-2200000000−i2i2i2−i2
χ1422-2-22-222222222-2-2-2-2-2-2-2-2000000000000000000000000000-2200000000i2−i2−i2i2
χ1522-2-2-222222-2-2-2-2-2-22222-2-2000000000000000000000000000002i−2i001+i−1−i1−i−1+i0000
χ1622-2-2-222222-2-2-2-2-2-22222-2-2000000000000000000000000000002i−2i00−1−i1+i−1+i1−i0000
χ1722-2-2-222222-2-2-2-2-2-22222-2-200000000000000000000000000000−2i2i001−i−1+i1+i−1−i0000
χ1822-2-2-222222-2-2-2-2-2-22222-2-200000000000000000000000000000−2i2i00−1+i1−i−1−i1+i0000
χ194444441-21-211-2-21-211-2-21-24441111-2-2-2-211111111-2-2-2-2-2-2-2-200000000000000
χ204444441-21-211-2-21-211-2-21-24-4-41111-2-2-2-2-1-1-1-1-1-1-1-12222222200000000000000
χ214444441-21-211-2-21-211-2-21-2-400-1-1-1-122223333-3-3-3-30000000000000000000000
χ224444441-21-211-2-21-211-2-21-2-400-1-1-1-12222-3-3-3-333330000000000000000000000
χ23444444-21-21-2-211-21-2-211-21444-2-2-2-21111-2-2-2-2-2-2-2-21111111100000000000000
χ24444444-21-21-2-211-21-2-211-214-4-4-2-2-2-2111122222222-1-1-1-1-1-1-1-100000000000000
χ25444444-21-21-2-211-21-2-211-21-4002222-1-1-1-1000000003333-3-3-3-300000000000000
χ26444444-21-21-2-211-21-2-211-21-4002222-1-1-1-100000000-3-3-3-3333300000000000000
χ274444-4-41-21-2-1-1221-2-1-1221-200033-3-3000033−3−333−3−300002323−23−2300000000000000
χ284444-4-41-21-2-1-1221-2-1-1221-200033-3-30000−3−333−3−3330000−23−23232300000000000000
χ294444-4-41-21-2-1-1221-2-1-1221-2000-3-333000033−3−3−3−3332323−23−23000000000000000000
χ304444-4-41-21-2-1-1221-2-1-1221-2000-3-3330000−3−33333−3−3−23−232323000000000000000000
χ314444-4-44444-4-4-4-444-4-4-4-44400000000000000000000000000000000000000000
χ324444-4-4-21-2122-1-1-2122-1-1-21000000033-3-300002323−23−2333−3−3−3−33300000000000000
χ334444-4-4-21-2122-1-1-2122-1-1-21000000033-3-30000−23−232323−3−33333−3−300000000000000
χ344444-4-4-21-2122-1-1-2122-1-1-210000000-3-3332323−23−230000−3−333−3−33300000000000000
χ354444-4-4-21-2122-1-1-2122-1-1-210000000-3-333−23−232323000033−3−333−3−300000000000000
χ364-44-40044-4-40000-4-400004400000000000000000000000000000002i−2i00000000
χ374-44-40044-4-40000-4-40000440000000000000000000000000000000−2i2i00000000
χ384-4-44001-2-123-3001-23-300-1202-23−33−30023−232+3−2−32−3−2+31-11-11−3−1+31+3−1−31−3−1+31+3−1−300000000000000
χ394-4-44001-2-123-3001-23-300-1202-2−33−3300−23232−3−2+32+3−2−31-11-11+3−1−31−3−1+31+3−1−31−3−1+300000000000000
χ404-4-44001-2-123-3001-23-300-120-223−33−30023−23−2−32+3−2+32−3-11-11−1+31−3−1−31+3−1+31−3−1−31+300000000000000
χ414-4-44001-2-123-3001-23-300-120-22−33−3300−2323−2+32−3−2−32+3-11-11−1−31+3−1+31−3−1−31+3−1+31−300000000000000
χ424-4-44001-2-12-33001-2-3300-1202-23−3−3323−2300-11-11−2−32+3−2+32−31+3−1−31−3−1+31−3−1+31+3−1−300000000000000
χ434-4-44001-2-12-33001-2-3300-1202-2−333−3−232300-11-11−2+32−3−2−32+31−3−1+31+3−1−31+3−1−31−3−1+300000000000000
χ444-4-44001-2-12-33001-2-3300-120-223−3−3323−23001-11-12+3−2−32−3−2+3−1−31+3−1+31−3−1+31−3−1−31+300000000000000
χ454-4-44001-2-12-33001-2-3300-120-22−333−3−2323001-11-12−3−2+32+3−2−3−1+31−3−1−31+3−1−31+3−1+31−300000000000000
χ464-4-440044-4-40000440000-4-402-2000000002-22-2-22-22-22-22-22-2200000000000000
χ474-4-440044-4-40000440000-4-40-2200000000-22-222-22-22-22-22-22-200000000000000
χ484-4-4400-212-1003-3-21003-32-102-20023−233−3−33−1+31−3−1−31+31+3−1−31−3−1+3−2+32−3−2−32+31-11-100000000000000
χ494-4-4400-212-1003-3-21003-32-102-200−2323−333−3−1−31+3−1+31−31−3−1+31+3−1−3−2−32+3−2+32−31-11-100000000000000
χ504-4-4400-212-1003-3-21003-32-10-220023−233−3−331−3−1+31+3−1−3−1−31+3−1+31−32−3−2+32+3−2−3-11-1100000000000000
χ514-4-4400-212-1003-3-21003-32-10-2200−2323−333−31+3−1−31−3−1+3−1+31−3−1−31+32+3−2−32−3−2+3-11-1100000000000000
χ524-4-4400-212-100-33-2100-332-102-223−2300−33−33−1+31−3−1−31+31−3−1+31+3−1−31-11-1−2+32−3−2−32+300000000000000
χ534-4-4400-212-100-33-2100-332-102-2−2323003−33−3−1−31+3−1+31−31+3−1−31−3−1+31-11-1−2−32+3−2+32−300000000000000
χ544-4-4400-212-100-33-2100-332-10-2223−2300−33−331−3−1+31+3−1−3−1+31−3−1−31+3-11-112−3−2+32+3−2−300000000000000
χ554-4-4400-212-100-33-2100-332-10-22−2323003−33−31+3−1−31−3−1+3−1−31+3−1+31−3-11-112+3−2−32−3−2+300000000000000
χ5688-8-88-82-42-422-4-4-24-2-244-2400000000000000000000000000000000000000000
χ5788-8-88-8-42-42-4-4224-244-2-24-200000000000000000000000000000000000000000
χ5888-8-8-882-42-4-2-244-2422-4-4-2400000000000000000000000000000000000000000
χ5988-8-8-88-42-4244-2-24-2-4-4224-200000000000000000000000000000000000000000
χ608-88-8002-4-246-600-24-66002-400000000000000000000000000000000000000000
χ618-88-8002-4-24-6600-246-6002-400000000000000000000000000000000000000000
χ628-88-800-424-2006-64-200-66-4200000000000000000000000000000000000000000
χ638-88-800-424-200-664-2006-6-4200000000000000000000000000000000000000000

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