Finite Group Databasebeta

← Group #11865153

Character table — Group #11865153

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1122222222244444444444666688888888888888888812121212121212121212161616161624242424242424242424242424243636363648487272
order122334466121223466612121212122244466681212121212121212121212242422224466121261224242424666688121212122424244462428
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-11-1111111111-111-1-1-11-1-111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1111-111-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1111-111-1-11-1-1-1-1-1-1-1-11-1-1-11-1111111-1-1-11-11-1-1-1-11-11-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1111111111111111111-1111-11-1-1-1-1111111-1-1111-111-1-1-1-1-1-1-1-1-111-1-1
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
χ71111111111111111111111-1-1-1-1-1111-111-1-11-1-1-1-1-1-1-1-1-1111-11-1-1-1-111-1-1-1-11-11111-11-11111-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1111-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111-1-11111111111-1-1
χ911111111111-11-11111111111111-1-11-1-1-1111111111-1-1-111-1-1-11111-1-1-1-1-111-111-1-1-1-1-111-1-1-111-11-11-1
χ1011111111111-11-11111111111111-1-11-1-1-1111111111-1-1-1-1-11-111111-1-1-1-1-1-11-1-1-11-111-111-1-11-1-11-11-11
χ1111111111111-11-1111111111111-1-1-111-1-1-1-11-1-1-1-1-1-111-111-1-1-11111-1-1111-1-1-111-111-1-1-1-111-111-1-11-11
χ1211111111111-11-1111111111111-1-1-111-1-1-1-11-1-1-1-1-1-111-1-1-11-111111-1-11111-1-1-1-111-11-1-1-1111-1-111-11-1
χ1311111111111-11-111111111-1-1-1-11-1-11-1-1-1111111111-1-1111-11-1-1-1-1-1-1-1-1-1-11-1111-11-1-11-1-1111-1-111-1-11
χ1411111111111-11-111111111-1-1-1-11-1-11-1-1-1111111111-1-11-1-1111-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-111-111-1-111-1
χ1511111111111-11-111111111-1-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-111111-11-1-1-1-1-1-1-1111-11111-1-11-1111-1-11-1-11-111-1
χ1611111111111-11-111111111-1-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1111-1-1111-1-1-1-1-1-1111111-1-11-1-11111-1-1-111-11-1-11
χ1722222-2-222-2-2020222-2-2-2-2-222-2-2000200000-20000000002-200022-2-2000000002-200000000002-200000
χ1822222-2-222-2-2020222-2-2-2-2-222-2-2000200000-2000000000-2200022-2-200000000-220000000000-2200000
χ1922222-2-222-2-2020222-2-2-2-2-2-2-222000200000-20000000002-2000-2-222000000002-20000000000-2200000
χ2022222-2-222-2-2020222-2-2-2-2-2-2-222000200000-2000000000-22000-2-22200000000-2200000000002-200000
χ212222-122-12222-12-1-122-1-1-1-1000022-1-12-12-1-1-122-1-1-1-1220222020000-1-1-1-1-1200-1-1-102-1000000000-1-100
χ222222-122-12222-12-1-122-1-1-1-1000022-1-12-12-1-1-122-1-1-1-1220-2-2-20-20000-1-1-1-1-1-2001110-210000000001100
χ232222-122-12222-12-1-122-1-1-1-10000-22-1-1-2-1211-1-2-21111-2-20222020000-1-1111-200-1-1-10-2-10000000001100
χ242222-122-12222-12-1-122-1-1-1-10000-22-1-1-2-1211-1-2-21111-2-20-2-2-20-20000-1-1111200111021000000000-1-100
χ252222-122-1222-2-1-2-1-122-1-1-1-100002-21-1-21-2-1-1-122-1-1-1-1-2-2022-20-2000011111200-1-110-21000000000-1100
χ262222-122-1222-2-1-2-1-122-1-1-1-100002-21-1-21-2-1-1-122-1-1-1-1-2-20-2-2202000011111-20011-102-10000000001-100
χ272222-122-1222-2-1-2-1-122-1-1-1-10000-2-21-121-211-1-2-2111122022-20-2000011-1-1-1-200-1-110210000000001-100
χ282222-122-1222-2-1-2-1-122-1-1-1-10000-2-21-121-211-1-2-21111220-2-2202000011-1-1-120011-10-2-1000000000-1100
χ29222-12222-1-1-12-122-1-1-12-1-1222222-12-122-122-1-1-1-1-1-1-1-1-1200020-1-1-1-1-1-12-1-102-1000200-1-1-1-1-100000000
χ30222-12222-1-1-12-122-1-1-12-1-122222-2-12-1-22-1-2-2-111111111200020-1-1-1-1-1-1-2110-2-1000-200-1111100000000
χ31222-12222-1-1-12-122-1-1-12-1-12-2-2-2-22-12-122-122-1-1-1-1-1-1-1-1-1-2000-201111-1-12-1-10-21000-2001111100000000
χ32222-12222-1-1-12-122-1-1-12-1-12-2-2-2-2-2-12-1-22-1-2-2-111111111-2000-201111-1-1-2110210002001-1-1-1-100000000
χ33222-12222-1-1-1-2-1-22-1-1-12-1-12222221-2-1-2-2122-1-1-1-1-1-1-111-2000-20-1-1-1-111-211021000-2001-1-11100000000
χ34222-12222-1-1-1-2-1-22-1-1-12-1-122222-21-2-12-21-2-2-1111111-1-1-2000-20-1-1-1-1112-1-10-21000200111-1-100000000
χ35222-12222-1-1-1-2-1-22-1-1-12-1-12-2-2-2-221-2-1-2-2122-1-1-1-1-1-1-111200020111111-2110-2-1000200-111-1-100000000
χ36222-12222-1-1-1-2-1-22-1-1-12-1-12-2-2-2-2-21-2-12-21-2-2-1111111-1-12000201111112-1-102-1000-200-1-1-11100000000
χ3722-2222-22222020-22-2-2222-22-22-2000-200000-20000000000020-22-22-20000000000200-200000200-20000
χ3822-2222-22222020-22-2-2222-22-22-2000-200000-200000000000-2022-22-20000000000-200200000-20020000
χ3922-2222-22222020-22-2-2222-2-22-22000-200000-20000000000020-2-22-220000000000200-200000-20020000
χ4022-2222-22222020-22-2-2222-2-22-22000-200000-200000000000-202-22-220000000000-200200000200-20000
χ4122-222-2222-2-222-2-22-22-2-2-222-2-22022-20-2-200200000000-2000202-2-222-200000-20000002000000000000
χ4222-222-2222-2-222-2-22-22-2-2-22-222-2022-20-2-2002000000002000-20-222-22-2000002000000-2000000000000
χ4322-222-2222-2-2-222-22-22-2-2-222-2-220-2-2-2022002000000002000-202-2-22-22000002000000-2000000000000
χ4422-222-2222-2-2-222-22-22-2-2-22-222-20-2-2-202200200000000-200020-222-2-2200000-20000002000000000000
χ4522-2-12-222-1112-1-2-2-11-1-21122-2-220-1210-2100-13−333−3−33−3-200020-111-1-1103−3001000000-13−33−300000000
χ4622-2-12-222-1112-1-2-2-11-1-21122-2-220-1210-2100-1−33−3−333−33-200020-111-1-110−33001000000-1−33−3300000000
χ4722-2-12-222-1112-1-2-2-11-1-2112-222-20-1210-2100-13−333−3−33−32000-201-1-11-1103−300-10000001−33−3300000000
χ4822-2-12-222-1112-1-2-2-11-1-2112-222-20-1210-2100-1−33−3−333−332000-201-1-11-110−3300-100000013−33−300000000
χ4922-2-12-222-111-2-12-2-11-1-21122-2-2201-2102-100-13−333−3−3−332000-20-111-11-10−3300-100000013−3−3300000000
χ5022-2-12-222-111-2-12-2-11-1-21122-2-2201-2102-100-1−33−3−3333−32000-20-111-11-103−300-10000001−333−300000000
χ5122-2-12-222-111-2-12-2-11-1-2112-222-201-2102-100-13−333−3−3−33-2000201-1-111-10−33001000000-1−333−300000000
χ5222-2-12-222-111-2-12-2-11-1-2112-222-201-2102-100-1−33−3−3333−3-2000201-1-111-103−3001000000-13−3−3300000000
χ534444-2-4-4-24-4-40-20-2-24-422220000000-20000020000000004-4000000000000000-2200000000000000000
χ544444-2-4-4-24-4-40-20-2-24-422220000000-2000002000000000-440000000000000002-200000000000000000
χ55444-24-4-44-2220-204-2-22-422-444-4-4000-200000200000000000000-2-222000000000000000000000000000
χ56444-24-4-44-2220-204-2-22-422-4-4-444000-20000020000000000000022-2-2000000000000000000000000000
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
χ6144-44-24-4-24440-202-2-4-4-2-2-22000000020000020000000000040-400000000000000-20020000000000000
χ6244-44-24-4-24440-202-2-4-4-2-2-220000000200000200000000000-40400000000000000200-20000000000000
χ6344-44-2-44-24-4-44-2-42-2-44222-2000004-2202-400-2000000000000000000-220000000000000000000000000
χ6444-44-2-44-24-4-4-4-242-2-44222-200000-4220-2400-20000000000000000002-20000000000000000000000000
χ6544-4-244-44-2-2-20-20-4-2224-2-2-44-44-4000200000200000000000000-22-22000000000000000000000000000
χ6644-4-244-44-2-2-20-20-4-2224-2-2-4-44-440002000002000000000000002-22-2000000000000000000000000000
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
χ748-808-4004-8000-400400000000000000000−2i32i3000−2i32i3−2i32i3000000000000000000000000000000000000000
χ758-808-4004-8000-4004000000000000000002i3−2i30002i3−2i32i3−2i3000000000000000000000000000000000000000
χ768-80-4800-8443−430-400400043−43000000000000000000000000000000000000000000000000000000000000
χ778-80-4800-84−43430-4004000−4343000000000000000000000000000000000000000000000000000000000000
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.