Finite Group Databasebeta

← Group #11779474

Character table — Group #11779474

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222222244444444444444444888888888888888888888881212121212121212121212121212242424242424242424242424243636484872144
order1222334444666666121212123466612121212121212121212121288121212121224242424242424242424242424242424448888242424242424242444488121212122424242444121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1
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
χ51111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-111111-1
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
χ81111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-111-1-1-1-1111111-1-11-1
χ92222222-2-22222222-2-2-2-22-22222-222-2-2-2-2-2-2-2200-222-2-2000000000000000022000000000000-2000022-2-20000000000
χ102222222-2-22222222-2-2-2-22-22222-222-2-2-2-2-2-2-2200-222-2-20000000000000000-2-200000000000020000-2-2220000000000
χ11222222-222-222222222222-2222-22-2-222222-2-2-200-2-2-2-2-200000000000000000000000000000000000000000002200-20
χ12222222-222-222222222222-2222-22-2-222222-2-2-200-2-2-2-2-20000000000000000000000000000000000000000000-2-20020
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
χ1522222-1222222-1-1-12-1-1-1-1-12-1-1-122-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-120000-1-1-1-10000000000
χ1622222-1222222-1-1-12-1-1-1-1-12-1-1-122-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111-2000011110000000000
χ1722222-1222222-1-1-12-1-1-1-1-12-1-1-122-1-1-1-12-1-1-1-12-2-22-1-1-1-11111-2-2-2-21111111122-2-2-2-21111111120000-1-1-1-10000000000
χ1822222-1222222-1-1-12-1-1-1-1-12-1-1-122-1-1-1-12-1-1-1-12-2-22-1-1-1-11111-2-2-2-211111111-2-22222-1-1-1-1-1-1-1-1-2000011110000000000
χ1922222-12-2-2222-1-1-121111-1-2-1-1-12-2-1-111-21111200-2-1-11133−3−300003333−3−3−3−32200003333−3−3−3−3-20000-1-1110000000000
χ2022222-12-2-2222-1-1-121111-1-2-1-1-12-2-1-111-21111200-2-1-11133−3−300003333−3−3−3−3-2-20000−3−3−3−333332000011-1-10000000000
χ2122222-12-2-2222-1-1-121111-1-2-1-1-12-2-1-111-21111200-2-1-111−3−3330000−3−3−3−33333220000−3−3−3−33333-20000-1-1110000000000
χ2222222-12-2-2222-1-1-121111-1-2-1-1-12-2-1-111-21111200-2-1-111−3−3330000−3−3−3−33333-2-200003333−3−3−3−32000011-1-10000000000
χ232222-122222-1-1222-12222-12-1-1-1-1-122-1-1-1-1-122-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000022220000-1-1-1-100-1-100
χ242222-122222-1-1222-12222-12-1-1-1-1-122-1-1-1-1-122-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000-2-2-2-200001111001100
χ252222-122222-1-1222-12222-12-1-1-1-1-122-1-1-1-1-122-1-2-2-1-1-1-1-1-2-2-2-211111111111100000000000000022-2-20000111100-1-100
χ262222-122222-1-1222-12222-12-1-1-1-1-122-1-1-1-1-122-1-2-2-1-1-1-1-1-2-2-2-2111111111111000000000000000-2-2220000-1-1-1-1001100
χ272222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-111-2-21111122100-111-1-1000033−3−333−3−333−3−30000000000000002-200000033−3−300-1100
χ282222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-111-2-21111122100-111-1-1000033−3−333−3−333−3−3000000000000000-22000000−3−333001-100
χ292222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-111-2-21111122100-111-1-10000−3−333−3−333−3−3330000000000000002-2000000−3−33300-1100
χ302222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-111-2-21111122100-111-1-10000−3−333−3−333−3−333000000000000000-2200000033−3−3001-100
χ3122-2-222200-22-2-22-2-20000202-2-2202-20000000-22−202-2002−22−22−22−22−22−22−22−22-222−2−222−2−222−2−2000002-2000000000000
χ3222-2-222200-22-2-22-2-20000202-2-2202-20000000-22−202-2002−22−22−22−22−22−22−22−2-22−2−222−2−222−2−22200000-22000000000000
χ3322-2-222200-22-2-22-2-20000202-2-2202-20000000-2−2202-200−22−22−22−22−22−22−22−222-2−2−222−2−222−2−222000002-2000000000000
χ3422-2-222200-22-2-22-2-20000202-2-2202-20000000-2−2202-200−22−22−22−22−22−22−22−22-2222−2−222−2−222−2−200000-22000000000000
χ3522-2-22-1200-22-21-11-23−33−3-10-11120-113−303−33−3-22−20-113−3ζ5−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+ζ2300000-113−30000000000
χ3622-2-22-1200-22-21-11-23−33−3-10-11120-113−303−33−3-22−20-113−3ζ5−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−ζ23000001-1−330000000000
χ3722-2-22-1200-22-21-11-23−33−3-10-11120-113−303−33−3-2−220-113−3−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−ζ2300000-113−30000000000
χ3822-2-22-1200-22-21-11-23−33−3-10-11120-113−303−33−3-2−220-113−3−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+ζ23000001-1−330000000000
χ3922-2-22-1200-22-21-11-2−33−33-10-11120-11−330−33−33-22−20-11−33ζ13−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+ζ700000-11−330000000000
χ4022-2-22-1200-22-21-11-2−33−33-10-11120-11−330−33−33-22−20-11−33ζ13−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−ζ7000001-13−30000000000
χ4122-2-22-1200-22-21-11-2−33−33-10-11120-11−330−33−33-2−220-11−33−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−ζ700000-11−330000000000
χ4222-2-22-1200-22-21-11-2−33−33-10-11120-11−330−33−33-2−220-11−33−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+ζ7000001-13−30000000000
χ432-22-22202-20-222-2-2-222-2-220-22-2020022-2-2-200000000000000000000000000002−22−22−22−22−22−20002−200002−22−22-20000
χ442-22-22202-20-222-2-2-222-2-220-22-2020022-2-2-200000000000000000000000000002−22−22−22−22−22−2000−220000−22−22-220000
χ452-22-22202-20-222-2-2-222-2-220-22-2020022-2-2-20000000000000000000000000000−22−22−22−22−22−220002−200002−22−2-220000
χ462-22-22202-20-222-2-2-222-2-220-22-2020022-2-2-20000000000000000000000000000−22−22−22−22−22−22000−220000−22−222-20000
χ4744444-2-444-444-2-2-24-2-2-2-2-2-4-2-2-2-4422-2-24-2-222-400-422220000000000000000000000000000000000000000000000000
χ4844444-2-4-4-4-444-2-2-242222-24-2-2-2-4-42222-422-2-2-400422-2-20000000000000000000000000000000000000000000000000
χ494444-244-4-44-2-2444-2-4-4-4-4-2-4-2-2-2-224422222-4-4-2002-2-2220000000000000000000000000000000000000000000000000
χ504444-24-444-4-2-2444-24444-2-4-2-2-22-2-4-4-2-2-2-2-2-4-4200222220000000000000000000000000000000000000000000000000
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
χ534444-2-24-4-44-2-2-2-2-2-222221-4111-22-2-2-1-12-1-122-200211-1-12323−23−230000−3−3−3−33333000000000000000000000000000000000
χ544444-2-24-4-44-2-2-2-2-2-222221-4111-22-2-2-1-12-1-122-200211-1-1−23−23232300003333−3−3−3−3000000000000000000000000000000000
χ554444-2-2-444-4-2-2-2-2-2-2-2-2-2-21-41112-22211-211222002-1-1-1-10000000033-3-3-3-333000000000000000000000000000000000
χ564444-2-2-444-4-2-2-2-2-2-2-2-2-2-21-41112-22211-211222002-1-1-1-100000000-3-33333-3-3000000000000000000000000000000000
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
χ5944-4-444-40044-4-44-4-40000404-4-4-40-4400000004000-44000000000000000000000000000000000000000000000000000
χ6044-4-44-2-40044-42-22-423−2323−23-20-222-402-223−23023−23−232340002-2−23230000000000000000000000000000000000000000000000000
χ6144-4-44-2-40044-42-22-4−2323−2323-20-222-402-2−23230−232323−2340002-223−230000000000000000000000000000000000000000000000000
χ6244-4-4-24400-4-22-44-420000-20-222-204-40000000222−220-220022−2222−22−22−22−22−22−22−22000000000000000000000000000000000
χ6344-4-4-24400-4-22-44-420000-20-222-204-400000002−22220-2200−2222−22222−22−22−22−22−22−2000000000000000000000000000000000
χ6444-4-4-24-4004-22-44-420000-20-22220-440000000-20002-20000006−6−666−6−666−6−66000000000000000000000000000000000
χ6544-4-4-24-4004-22-44-420000-20-22220-440000000-20002-2000000−666−6−666−6−666−6000000000000000000000000000000000
χ6644-4-4-2-2400-4-222-22223−2323−23101-1-1-20-22−330−3323−23222−2201-1−332ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23000000000000000000000000000000000
χ6744-4-4-2-2400-4-222-22223−2323−23101-1-1-20-22−330−3323−232−222201-1−33−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ232−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23000000000000000000000000000000000
χ6844-4-4-2-2400-4-222-222−2323−2323101-1-1-20-223−303−3−2323222−2201-13−32ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7000000000000000000000000000000000
χ6944-4-4-2-2400-4-222-222−2323−2323101-1-1-20-223−303−3−23232−222201-13−3−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ72−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7000000000000000000000000000000000
χ7044-4-4-2-2-4004-222-22223−2323−23101-1-1202-2−330−33−2323-2000-113−300006−6−66ζ5−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
χ7144-4-4-2-2-4004-222-22223−2323−23101-1-1202-2−330−33−2323-2000-113−30000−666−6−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
χ7244-4-4-2-2-4004-222-222−2323−2323101-1-1202-23−303−323−23-2000-11−3300006−6−66−2ζ5+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
χ7344-4-4-2-2-4004-222-222−2323−2323101-1-1202-23−303−323−23-2000-11−330000−666−62ζ5−2ζ7+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
χ744-44-4440-440-444-4-4-4-4-44440-44-40-400-4-444400000000000000000000000000000000000000000000000000000000000
χ754-44-44-204-40-44-222-4-2-222-202-220400-2-2-422000000000000000000000000000022−2222−22−22−22−22−220000000000000000000
χ764-44-44-204-40-44-222-4-2-222-202-220400-2-2-4220000000000000000000000000000−2222−22222−22−22−22−20000000000000000000
χ774-44-44-20-440-44-222-422-2-2-202-220-400224-2-2000000000000000000000000000000006−66−6−66−660000000000000000000
χ784-44-44-20-440-44-222-422-2-2-202-220-400224-2-200000000000000000000000000000000−66−666−66−60000000000000000000
χ794-44-4-2404-402-24-4-4244-4-4-202-220-200-2-2222000000000000000000000000000000000000000000022−220000−22−22000000
χ804-44-4-2404-402-24-4-4244-4-4-202-220-200-2-22220000000000000000000000000000000000000000000−222200002−22−2000000
χ814-44-4-240-4402-24-4-42-4-444-202-22020022-2-2-200000000000000000000000000000000000000000000000006−6−66000000
χ824-44-4-240-4402-24-4-42-4-444-202-22020022-2-2-20000000000000000000000000000000000000000000000000−666−6000000
χ834-4-44440000-4-4-4-444000040-4-4400000000000000000000000000000000000002-2-222-2-222-2-220000000000000000000
χ844-4-44440000-4-4-4-444000040-4-440000000000000000000000000000000000000-222-2-222-2-222-20000000000000000000
χ854-4-444-20000-4-422-2423−23−2323-2022-2000023−230−232300000000000000000000000000002-2-22−1+31−31−3−1+3−1−31+31+3−1−30000000000000000000
χ864-4-444-20000-4-422-2423−23−2323-2022-2000023−230−23230000000000000000000000000000-222-21−3−1+3−1+31−31+3−1−3−1−31+30000000000000000000
χ874-4-444-20000-4-422-24−232323−23-2022-20000−2323023−2300000000000000000000000000002-2-22−1−31+31+3−1−3−1+31−31−3−1+30000000000000000000
χ884-4-444-20000-4-422-24−232323−23-2022-20000−2323023−230000000000000000000000000000-222-21+3−1−3−1−31+31−3−1+3−1+31−30000000000000000000
χ898-88-8-4-408-804-4-4444-4-44420-22-20-400224-2-200000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-40-8804-4-444444-4-420-22-20400-2-2-42200000000000000000000000000000000000000000000000000000000000
χ918-8-88-48000044-8-88-40000-4044-400000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-400004444-4-443−43−434320-2-220000−2323023−2300000000000000000000000000000000000000000000000000000000000
χ938-8-88-4-400004444-4-4−434343−4320-2-22000023−230−232300000000000000000000000000000000000000000000000000000000000

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