Finite Group Databasebeta

← Group #11780208

Character table — Group #11780208

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222222244444444444444444888888888888888888888881212121212121212121212121212242424242424242424242424243636484872144
order12223344446666661212121234666121212121212121212121212881212121212242424242424242424242424242424242288882424242424242424444668812122424242444121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-111111-1
χ61111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-1-11
χ71111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-111-11
χ81111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-1111111-1-11-1
χ92222222-2-22222222-2-2-2-22-2222222-2-2-2-2-2-2-2-2200-222-2-2000000000000000022000000000000-2002200-2-20000000000
χ102222222-2-22222222-2-2-2-22-2222222-2-2-2-2-2-2-2-2200-222-2-20000000000000000-2-2000000000000200-2-200220000000000
χ11222222-222-222222222222-2222-2-2-2222222-2-2-200-2-2-2-2-200000000000000000000000000000000000000000002200-20
χ12222222-222-222222222222-2222-2-2-2222222-2-2-200-2-2-2-2-20000000000000000000000000000000000000000000-2-20020
χ13222222-2-2-2-2222222-2-2-2-222222-2-2-2-2-2-2-2-2-222-2002-2-22200000000000000000000000000000002-20000000000002-200
χ14222222-2-2-2-2222222-2-2-2-222222-2-2-2-2-2-2-2-2-222-2002-2-2220000000000000000000000000000000-22000000000000-2200
χ1522222-1222222-1-1-12-1-1-1-1-12-1-1-12-1-12-1-12-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1200-1-100-1-10000000000
χ1622222-1222222-1-1-12-1-1-1-1-12-1-1-12-1-12-1-12-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111-2001100110000000000
χ1722222-1222222-1-1-12-1-1-1-1-12-1-1-12-1-12-1-12-1-1-1-12-2-22-1-1-1-11111-2-2-2-21111111122-2-2-2-211111111200-1-100-1-10000000000
χ1822222-1222222-1-1-12-1-1-1-1-12-1-1-12-1-12-1-12-1-1-1-12-2-22-1-1-1-11111-2-2-2-211111111-2-22222-1-1-1-1-1-1-1-1-2001100110000000000
χ1922222-12-2-2222-1-1-121111-1-2-1-1-12-1-1-211-21111200-2-1-11133−3−300003333−3−3−3−32200003333−3−3−3−3-200-1-100110000000000
χ2022222-12-2-2222-1-1-121111-1-2-1-1-12-1-1-211-21111200-2-1-11133−3−300003333−3−3−3−3-2-20000−3−3−3−333332001100-1-10000000000
χ2122222-12-2-2222-1-1-121111-1-2-1-1-12-1-1-211-21111200-2-1-111−3−3330000−3−3−3−33333220000−3−3−3−33333-200-1-100110000000000
χ2222222-12-2-2222-1-1-121111-1-2-1-1-12-1-1-211-21111200-2-1-111−3−3330000−3−3−3−33333-2-200003333−3−3−3−32001100-1-10000000000
χ232222-122222-1-1222-12222-12-1-1-1-122-1-1-1-1-1-122-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000022002200-1-1-1-100-1-100
χ242222-122222-1-1222-12222-12-1-1-1-122-1-1-1-1-1-122-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000-2-200-2-2001111001100
χ252222-122222-1-1222-12222-12-1-1-1-122-1-1-1-1-1-122-1-2-2-1-1-1-1-1-2-2-2-21111111111110000000000000002200-2-200111100-1-100
χ262222-122222-1-1222-12222-12-1-1-1-122-1-1-1-1-1-122-1-2-2-1-1-1-1-1-2-2-2-2111111111111000000000000000-2-2002200-1-1-1-1001100
χ272222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-11-2-211111122100-111-1-1000033−3−333−3−333−3−30000000000000002-200000033−3−300-1100
χ282222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-11-2-211111122100-111-1-1000033−3−333−3−333−3−3000000000000000-22000000−3−333001-100
χ292222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-11-2-211111122100-111-1-10000−3−333−3−333−3−3330000000000000002-2000000−3−33300-1100
χ302222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-11-2-211111122100-111-1-10000−3−333−3−333−3−333000000000000000-2200000033−3−3001-100
χ3122-2-222200-22-22-2-2-20000202-2-222-200000000-22−202-2002−22−22−22−22−22−22−22−22-222−2−222−2−222−2−20002-200000000000000
χ3222-2-222200-22-22-2-2-20000202-2-222-200000000-22−202-2002−22−22−22−22−22−22−22−2-22−2−222−2−222−2−222000-2200000000000000
χ3322-2-222200-22-22-2-2-20000202-2-222-200000000-2−2202-200−22−22−22−22−22−22−22−222-2−2−222−2−222−2−2220002-200000000000000
χ3422-2-222200-22-22-2-2-20000202-2-222-200000000-2−2202-200−22−22−22−22−22−22−22−22-2222−2−222−2−222−2−2000-2200000000000000
χ3522-2-22-1200-22-2-111-23−33−3-10-1112-1103−303−33−3-22−20-113−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ232-222−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23000-11003−30000000000
χ3622-2-22-1200-22-2-111-23−33−3-10-1112-1103−303−33−3-22−20-113−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23-22−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ230001-100−330000000000
χ3722-2-22-1200-22-2-111-23−33−3-10-1112-1103−303−33−3-2−220-113−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ232-2−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23000-11003−30000000000
χ3822-2-22-1200-22-2-111-23−33−3-10-1112-1103−303−33−3-2−220-113−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23-2222−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ230001-100−330000000000
χ3922-2-22-1200-22-2-111-2−33−33-10-1112-110−330−33−33-22−20-11−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ72-222−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7000-1100−330000000000
χ4022-2-22-1200-22-2-111-2−33−33-10-1112-110−330−33−33-22−20-11−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7-22−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ70001-1003−30000000000
χ4122-2-22-1200-22-2-111-2−33−33-10-1112-110−330−33−33-2−220-11−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ72-2−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7000-1100−330000000000
χ4222-2-22-1200-22-2-111-2−33−33-10-1112-110−330−33−33-2−220-11−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7-2222−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ70001-1003−30000000000
χ432-2-22220-220-2-2-2-222-2-22220-22-2000-2-2-222200000000000000000000000000002−22−22−22−22−22−2000002−2002−22−22-20000
χ442-2-22220-220-2-2-2-222-2-22220-22-2000-2-2-222200000000000000000000000000002−22−22−22−22−22−200000−2200−22−22-220000
χ452-2-22220-220-2-2-2-222-2-22220-22-2000-2-2-22220000000000000000000000000000−22−22−22−22−22−22000002−2002−22−2-220000
χ462-2-22220-220-2-2-2-222-2-22220-22-2000-2-2-22220000000000000000000000000000−22−22−22−22−22−2200000−2200−22−222-20000
χ4744444-2-444-444-2-2-24-2-2-2-2-2-4-2-2-2-4224-2-24-2-222-400-422220000000000000000000000000000000000000000000000000
χ4844444-2-4-4-4-444-2-2-242222-24-2-2-2-422-422-422-2-2-400422-2-20000000000000000000000000000000000000000000000000
χ494444-244-4-44-2-2444-2-4-4-4-4-2-4-2-2-2-244222222-4-4-2002-2-2220000000000000000000000000000000000000000000000000
χ504444-24-444-4-2-2444-24444-2-4-2-2-22-4-4-2-2-2-2-2-2-4-4200222220000000000000000000000000000000000000000000000000
χ514444-2-24444-2-2-2-2-2-2-2-2-2-214111-2-2-2-211-211-2-2-244-21111-2-2-2-2-2-2-2-211111111000000000000000000000000000000000
χ524444-2-24444-2-2-2-2-2-2-2-2-2-214111-2-2-2-211-211-2-2-2-4-4-2111122222222-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ534444-2-24-4-44-2-2-2-2-2-222221-4111-2-2-22-1-12-1-122-200211-1-12323−23−230000−3−3−3−33333000000000000000000000000000000000
χ544444-2-24-4-44-2-2-2-2-2-222221-4111-2-2-22-1-12-1-122-200211-1-1−23−23232300003333−3−3−3−3000000000000000000000000000000000
χ554444-2-2-444-4-2-2-2-2-2-2-2-2-2-21-4111222-211-211222002-1-1-1-10000000033-3-3-3-333000000000000000000000000000000000
χ564444-2-2-444-4-2-2-2-2-2-2-2-2-2-21-4111222-211-211222002-1-1-1-100000000-3-33333-3-3000000000000000000000000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-22222141112222-1-12-1-1-2-2200-2-1-11100002323−23−23−3−333−3−333000000000000000000000000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-22222141112222-1-12-1-1-2-2200-2-1-1110000−23−23232333−3−333−3−3000000000000000000000000000000000
χ5944-4-444-40044-44-4-4-40000404-4-4-4-44000000004000-44000000000000000000000000000000000000000000000000000
χ6044-4-44-2-40044-4-222-423−2323−23-20-222-42-2023−23023−23−232340002-2−23230000000000000000000000000000000000000000000000000
χ6144-4-44-2-40044-4-222-4−2323−2323-20-222-42-20−23230−232323−2340002-223−230000000000000000000000000000000000000000000000000
χ6244-4-4-24400-4-224-4-420000-20-222-24-400000000222−220-220022−2222−22−22−22−22−22−22−22000000000000000000000000000000000
χ6344-4-4-24400-4-224-4-420000-20-222-24-4000000002−22220-2200−2222−22222−22−22−22−22−22−2000000000000000000000000000000000
χ6444-4-4-24-4004-224-4-420000-20-2222-4400000000-20002-20000006−6−666−6−666−6−66000000000000000000000000000000000
χ6544-4-4-24-4004-224-4-420000-20-2222-4400000000-20002-2000000−666−6−666−6−666−6000000000000000000000000000000000
χ6644-4-4-2-2400-4-22-222223−2323−23101-1-1-2-220−330−3323−23222−2201-1−332ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23000000000000000000000000000000000
χ6744-4-4-2-2400-4-22-222223−2323−23101-1-1-2-220−330−3323−232−222201-1−33−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ232−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23000000000000000000000000000000000
χ6844-4-4-2-2400-4-22-2222−2323−2323101-1-1-2-2203−303−3−2323222−2201-13−32ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7000000000000000000000000000000000
χ6944-4-4-2-2400-4-22-2222−2323−2323101-1-1-2-2203−303−3−23232−222201-13−3−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ72−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7000000000000000000000000000000000
χ7044-4-4-2-2-4004-22-222223−2323−23101-1-122-20−330−33−2323-2000-113−300006−6−66ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23000000000000000000000000000000000
χ7144-4-4-2-2-4004-22-222223−2323−23101-1-122-20−330−33−2323-2000-113−30000−666−6−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23000000000000000000000000000000000
χ7244-4-4-2-2-4004-22-2222−2323−2323101-1-122-203−303−323−23-2000-11−3300006−6−66−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23000000000000000000000000000000000
χ7344-4-4-2-2-4004-22-2222−2323−2323101-1-122-203−303−323−23-2000-11−330000−666−62ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23000000000000000000000000000000000
χ744-44-4440000-44-44-4-4000040-4-4400000000000000000000000000000000000002-2-222-2-222-2-220000000000000000000
χ754-44-4440000-44-44-4-4000040-4-440000000000000000000000000000000000000-222-2-222-2-222-20000000000000000000
χ764-44-44-20000-442-22-423−23−2323-2022-2000023−230−232300000000000000000000000000002-2-22−1−31+31+3−1−3−1+31−31−3−1+30000000000000000000
χ774-44-44-20000-442-22-423−23−2323-2022-2000023−230−23230000000000000000000000000000-222-21+3−1−3−1−31+31−3−1+3−1+31−30000000000000000000
χ784-44-44-20000-442-22-4−232323−23-2022-20000−2323023−2300000000000000000000000000002-2-22−1+31−31−3−1+3−1−31+31+3−1−30000000000000000000
χ794-44-44-20000-442-22-4−232323−23-2022-20000−2323023−230000000000000000000000000000-222-21−3−1+3−1+31−31+3−1−3−1−31+30000000000000000000
χ804-4-444404-40-4-4-4-44444-4-440-44-4000444-4-4-400000000000000000000000000000000000000000000000000000000000
χ814-4-444-204-40-4-422-24-2-222-202-220004-2-2-422000000000000000000000000000000006−66−6−66−660000000000000000000
χ824-4-444-204-40-4-422-24-2-222-202-220004-2-2-42200000000000000000000000000000000−66−666−66−60000000000000000000
χ834-4-444-20-440-4-422-2422-2-2-202-22000-4224-2-2000000000000000000000000000022−2222−22−22−22−22−220000000000000000000
χ844-4-444-20-440-4-422-2422-2-2-202-22000-4224-2-20000000000000000000000000000−2222−22222−22−22−22−20000000000000000000
χ854-4-44-2404-4022-4-44-244-4-4-202-22000-2-2-222200000000000000000000000000000000000000000000000006−6−66000000
χ864-4-44-2404-4022-4-44-244-4-4-202-22000-2-2-22220000000000000000000000000000000000000000000000000−666−6000000
χ874-4-44-240-44022-4-44-2-4-444-202-22000222-2-2-200000000000000000000000000000000000000000000022−2200−22−22000000
χ884-4-44-240-44022-4-44-2-4-444-202-22000222-2-2-2000000000000000000000000000000000000000000000−2222002−22−2000000
χ898-88-8-4800004-4-88-840000-4044-400000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-400004-44-44443−43−434320-2-220000−2323023−2300000000000000000000000000000000000000000000000000000000000
χ918-88-8-4-400004-44-444−434343−4320-2-22000023−230−232300000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-408-804444-4-4-4-44420-22-2000-4224-2-200000000000000000000000000000000000000000000000000000000000
χ938-8-88-4-40-8804444-4-444-4-420-22-20004-2-2-42200000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1).