Finite Group Databasebeta

← Group #11865208

Character table — Group #11865208

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1122222222244444444444666688888888888888888812121212121212121212161616161624242424242424242424242424243636363648487272
order122334466121223466612121212122244466681212121212121212121212242422444466121261224242444668812121212121224242224122448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-11-1-1-1111111111-11-111-11-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1111-111-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1111-111-1-11-1-1-1-1-1-1-1-11-11-1-1-1111111-1-1-11-1-11-111-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1111111111111111111-11-1111-1-1-1-1111111-11-1-11-1111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111-1-1-1-1-1111-111-1-11-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-1-1-111-11-1-11111111-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1111-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-1-1-11111111111-1-1
χ911111111111-11-11111111111111-1-11-1-1-1111111111-1-1-11-11-1-11111-1-1-1-1-1-111-1-11-11-1-111-1-11-1-11-11-11
χ1011111111111-11-11111111111111-1-11-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-111-1-1-1-1-1-11111-1-1-111-11-11-1
χ1111111111111-11-1111111111111-1-1-111-1-1-1-11-1-1-1-1-1-111-11-11-1-11111-1-11111-11-11-1-11-1-1-1-1111-1-111-11-1
χ1211111111111-11-1111111111111-1-1-111-1-1-1-11-1-1-1-1-1-111-1-1-1-1111111-1-1111-1-1-1-111-1-111-1-111-111-1-11-11
χ1311111111111-11-111111111-1-1-1-11-1-11-1-1-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-111-1-111-1
χ1411111111111-11-111111111-1-1-1-11-1-11-1-1-1111111111-1-11-11-111-1-1-1-1-1-1-1-1-11-1-111-11-111-1-1111-1-111-1-11
χ1511111111111-11-111111111-1-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-111-1-111-1-1-111-11-1-11
χ1611111111111-11-111111111-1-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1111-11-111-1-1-1-1-1-1111-11-11-111-11111-1-11-1-11-111-1
χ1722222-2-222-2-2020222-2-2-2-2-222-2-2000200000-20000000000002-222-2-200000000000002-2000002-200000
χ1822222-2-222-2-2020222-2-2-2-2-222-2-2000200000-2000000000000-2222-2-20000000000000-2200000-2200000
χ1922222-2-222-2-2020222-2-2-2-2-2-2-222000200000-20000000000002-2-2-22200000000000002-200000-2200000
χ2022222-2-222-2-2020222-2-2-2-2-2-2-222000200000-2000000000000-22-2-2220000000000000-22000002-200000
χ212222-122-12-1-12-122-1-1-12-1-12222222-1-12-1222-1-1-1-1-1-1-1-1-1202000-1-1-1-1-1-12-1-1020-120-1000-1-1-1-100000000
χ222222-122-12-1-12-122-1-1-12-1-122222-22-1-1-2-12-2-2-111111111202000-1-1-1-1-1-1-2110-20-1-20-1000111100000000
χ232222-122-12-1-12-122-1-1-12-1-12-2-2-2-222-1-12-1222-1-1-1-1-1-1-1-1-1-20-20001111-1-12-1-10-201-201000111100000000
χ242222-122-12-1-12-122-1-1-12-1-12-2-2-2-2-22-1-1-2-12-2-2-111111111-20-20001111-1-1-2110201201000-1-1-1-100000000
χ252222-122-12-1-1-2-1-22-1-1-12-1-1222222-21-1-21-222-1-1-1-1-1-1-111-20-2000-1-1-1-111-2110201-201000-1-11100000000
χ262222-122-12-1-1-2-1-22-1-1-12-1-122222-2-21-121-2-2-2-1111111-1-1-20-2000-1-1-1-1112-1-10-20120100011-1-100000000
χ272222-122-12-1-1-2-1-22-1-1-12-1-12-2-2-2-22-21-1-21-222-1-1-1-1-1-1-111202000111111-2110-20-120-100011-1-100000000
χ282222-122-12-1-1-2-1-22-1-1-12-1-12-2-2-2-2-2-21-121-2-2-2-1111111-1-12020001111112-1-1020-1-20-1000-1-11100000000
χ29222-12222-1222-12-1-122-1-1-1-100002-12-122-1-1-1-122-1-1-1-1220202220000-1-1-1-1-120-10020-1-1-100000000-1-100
χ30222-12222-1222-12-1-122-1-1-1-100002-12-122-1-1-1-122-1-1-1-1220-20-2-2-20000-1-1-1-1-1-20100-20111000000001100
χ31222-12222-1222-12-1-122-1-1-1-10000-2-12-1-22-111-1-2-21111-2-20202220000-1-1111-20-100-20-1-1-1000000001100
χ32222-12222-1222-12-1-122-1-1-1-10000-2-12-1-22-111-1-2-21111-2-20-20-2-2-20000-1-1111201002011100000000-1-100
χ33222-12222-122-2-1-2-1-122-1-1-1-1000021-2-1-2-21-1-1-122-1-1-1-1-2-20202-2-2000011111-20-10020-111000000001-100
χ34222-12222-122-2-1-2-1-122-1-1-1-1000021-2-1-2-21-1-1-122-1-1-1-1-2-20-20-22200001111120100-201-1-100000000-1100
χ35222-12222-122-2-1-2-1-122-1-1-1-10000-21-2-12-2111-1-2-21111220202-2-2000011-1-1-120-100-20-11100000000-1100
χ36222-12222-122-2-1-2-1-122-1-1-1-10000-21-2-12-2111-1-2-21111220-20-222000011-1-1-1-20100201-1-1000000001-100
χ3722-2222-22222020-22-2-2222-22-22-2000-200000-200000000020-2002-22-2000000020000-2000000200-20000
χ3822-2222-22222020-22-2-2222-22-22-2000-200000-2000000000-202002-22-20000000-200002000000-20020000
χ3922-2222-22222020-22-2-2222-2-22-22000-200000-200000000020-200-22-22000000020000-2000000-20020000
χ4022-2222-22222020-22-2-2222-2-22-22000-200000-2000000000-20200-22-220000000-200002000000200-20000
χ4122-222-2222-2-222-2-22-22-2-2-222-2-22022-20-2-200200000000-2020002-2-222-2000000-2002000000000000000
χ4222-222-2222-2-222-2-22-22-2-2-22-222-2022-20-2-20020000000020-2000-222-22-2000000200-2000000000000000
χ4322-222-2222-2-2-222-22-22-2-2-222-2-220-2-2-20220020000000020-20002-2-22-22000000200-2000000000000000
χ4422-222-2222-2-2-222-22-22-2-2-22-222-20-2-2-202200200000000-202000-222-2-22000000-2002000000000000000
χ4522-22-1-22-12112-1-2-2-11-1-21122-2-2202-1101-200-13−333−3−33−3-202000-111-1-1103−3000100-10003−33−300000000
χ4622-22-1-22-12112-1-2-2-11-1-21122-2-2202-1101-200-1−33−3−333−33-202000-111-1-110−33000100-1000−33−3300000000
χ4722-22-1-22-12112-1-2-2-11-1-2112-222-202-1101-200-13−333−3−33−320-20001-1-11-1103−3000-1001000−33−3300000000
χ4822-22-1-22-12112-1-2-2-11-1-2112-222-202-1101-200-1−33−3−333−3320-20001-1-11-110−33000-10010003−33−300000000
χ4922-22-1-22-1211-2-12-2-11-1-21122-2-220-2110-1200-13−333−3−3−3320-2000-111-11-10−33000-10010003−3−3300000000
χ5022-22-1-22-1211-2-12-2-11-1-21122-2-220-2110-1200-1−33−3−3333−320-2000-111-11-103−3000-1001000−333−300000000
χ5122-22-1-22-1211-2-12-2-11-1-2112-222-20-2110-1200-13−333−3−3−33-2020001-1-111-10−33000100-1000−333−300000000
χ5222-22-1-22-1211-2-12-2-11-1-2112-222-20-2110-1200-1−33−3−3333−3-2020001-1-111-103−3000100-10003−3−3300000000
χ534444-2-4-4-24220-204-2-22-422-444-4-4000-200000200000000000000-2-222000000000000000000000000000
χ544444-2-4-4-24220-204-2-22-422-4-4-444000-20000020000000000000022-2-2000000000000000000000000000
χ55444-24-4-44-2-4-40-20-2-24-422220000000-20000020000000000004-400000000000000000-22000000000000
χ56444-24-4-44-2-4-40-20-2-24-422220000000-2000002000000000000-44000000000000000002-2000000000000
χ57444-2-244-2-2-2-2414-21-2-2-211-200004-2-214-2-2-2-21-2-21111-2-2000000000011-2110000000000000000000000
χ58444-2-244-2-2-2-2414-21-2-2-211-20000-4-2-21-4-2-222122-1-1-1-1220000000000112-1-10000000000000000000000
χ59444-2-244-2-2-2-2-41-4-21-2-2-211-200004221-422-2-21-2-21111220000000000-1-12-1-10000000000000000000000
χ60444-2-244-2-2-2-2-41-4-21-2-2-211-20000-422142222122-1-1-1-1-2-20000000000-1-1-2110000000000000000000000
χ6144-44-24-4-24-2-20-20-4-2224-2-2-44-44-4000200000200000000000000-22-22000000000000000000000000000
χ6244-44-24-4-24-2-20-20-4-2224-2-2-4-44-440002000002000000000000002-22-2000000000000000000000000000
χ6344-4-244-44-2440-202-2-4-4-2-2-220000000200000200000000040-40000000000000-20000200000000000000
χ6444-4-244-44-2440-202-2-4-4-2-2-2200000002000002000000000-404000000000000020000-200000000000000
χ6544-4-24-444-2-4-44-2-42-2-44222-200000-2420-4200-2000000000000000000-220000000000000000000000000
χ6644-4-24-444-2-4-4-4-242-2-44222-2000002-4204-200-20000000000000000002-20000000000000000000000000
χ6744-4-2-2-44-2-22241-4212-22-1-1-200000-2-2-102200123−23−3−33323−2300000000001-10−330000000000000000000000
χ6844-4-2-2-44-2-22241-4212-22-1-1-200000-2-2-1022001−232333−3−3−232300000000001-103−30000000000000000000000
χ6944-4-2-2-44-2-222-414212-22-1-1-20000022-10-2-200123−23−3−333−23230000000000-1103−30000000000000000000000
χ7044-4-2-2-44-2-222-414212-22-1-1-20000022-10-2-2001−232333−3−323−230000000000-110−330000000000000000000000
χ71888-4-4-8-8-4-444020-42-444-2-240000000200000-2000000000000000000000000000000000000000000000
χ7288-8-4-48-8-4-4-4-40204244-42240000000-200000-2000000000000000000000000000000000000000000000
χ738-808800-8-8000800-800000000000000000000000000000000000000000000000000000000000000000
χ748-808-4004-843−430-400400043−43000000000000000000000000000000000000000000000000000000000000
χ758-808-4004-8−43430-4004000−4343000000000000000000000000000000000000000000000000000000000000
χ768-80-4800-84000-400400000000000000000−2i32i3000−2i32i3−2i32i3000000000000000000000000000000000000000
χ778-80-4800-84000-4004000000000000000002i3−2i30002i3−2i32i3−2i3000000000000000000000000000000000000000
χ788-80-4-4004443−430200-2000−2323000000000000−2i32i3000ζ2−3ζ7−ζ10−3ζ11−ζ2+3ζ7+ζ10+3ζ11ζ2+3ζ7−ζ10+3ζ11−ζ2−3ζ7+ζ10−3ζ11000000000000000000000000000000000000000
χ798-80-4-4004443−430200-2000−23230000000000002i3−2i3000−ζ2+3ζ7+ζ10+3ζ11ζ2−3ζ7−ζ10−3ζ11−ζ2−3ζ7+ζ10−3ζ11ζ2+3ζ7−ζ10+3ζ11000000000000000000000000000000000000000
χ808-80-4-40044−43430200-200023−23000000000000−2i32i3000ζ2+3ζ7−ζ10+3ζ11−ζ2−3ζ7+ζ10−3ζ11ζ2−3ζ7−ζ10−3ζ11−ζ2+3ζ7+ζ10+3ζ11000000000000000000000000000000000000000
χ818-80-4-40044−43430200-200023−230000000000002i3−2i3000−ζ2−3ζ7+ζ10−3ζ11ζ2+3ζ7−ζ10+3ζ11−ζ2+3ζ7+ζ10+3ζ11ζ2−3ζ7−ζ10−3ζ11000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.