Finite Group Databasebeta

← Group #11794288

Character table — Group #11794288

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order1222223344446666661212121236666666121212121212121212126688121224242424242424242424242424242424444412121212121212124444441212121212121212121212124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-11111-1-111-1-1
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-11-11-1-1-1-111-1-1-1-111-1-111
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-11111-1-11111-1-1-1-111
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-11111-1-1
χ922222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000000000000000000000000000002-200
χ1022222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000000000000000000000000000000000-2200
χ112222222-122222-122-1-12222-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000222020000-1-1-1-1-1-1-1-10000
χ122222222-122222-122-1-12222-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000-2-2-20-20000111111110000
χ132222222-122222-122-1-12222-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-2111111111111000000000000022-20-2000011-1-1-1-1110000
χ142222222-122222-122-1-12222-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-21111111111110000000000000-2-22020000-1-11111-1-10000
χ15222222-122222-12-1-122-1-1-1-1-1-122-1-1-1-1-1-1222-1-12-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1200020-1-1-1-1000000000000
χ16222222-122222-12-1-122-1-1-1-1-1-122-1-1-1-1-1-1222-1-12-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111-2000-201111000000000000
χ17222222-122222-12-1-122-1-1-1-1-1-122-1-1-1-1-1-1222-1-12-1-1-1-1-2-2-1-11111-2-2-2-2111111112222-1-1-1-1-1-1-1-1-2000-201111000000000000
χ18222222-122222-12-1-122-1-1-1-1-1-122-1-1-1-1-1-1222-1-12-1-1-1-1-2-2-1-11111-2-2-2-211111111-2-2-2-211111111200020-1-1-1-1000000000000
χ192222-2-2222-22-222222222222-2-2-2222-2-2-22-2-222222-2-200-2-2000000000000000000000000000000020-20000-2-20000220000
χ202222-2-2222-22-222222222222-2-2-2222-2-2-22-2-222222-2-200-2-20000000000000000000000000000000-2020000220000-2-20000
χ212222-2-222-22-22222222-2-2-2-22-2-2-2222-222-222-2-2-2-2-2-2-2002200000000000000000000000000002000-2022-2-2000000000000
χ222222-2-222-22-22222222-2-2-2-22-2-2-2222-222-222-2-2-2-2-2-2-200220000000000000000000000000000-200020-2-222000000000000
χ232222-2-22-12-22-22-122-1-12222-1-211-1-1-1-2-2-2-111-1-1-1-1-11100110000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i300000000000000020-2000011−i3−i3i3i3-1-10000
χ242222-2-22-12-22-22-122-1-12222-1-211-1-1-1-2-2-2-111-1-1-1-1-11100110000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3000000000000000-2020000-1-1i3i3−i3−i3110000
χ252222-2-22-12-22-22-122-1-12222-1-211-1-1-1-2-2-2-111-1-1-1-1-11100110000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i300000000000000020-2000011i3i3−i3−i3-1-10000
χ262222-2-22-12-22-22-122-1-12222-1-211-1-1-1-2-2-2-111-1-1-1-1-11100110000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3000000000000000-2020000-1-1−i3−i3i3i3110000
χ272222-2-2-12-22-22-12-1-1221111-11-2-2-1-1-11-1-1-22211-2111100-1-133−3−3000033−3−333−3−300003333−3−3−3−32000-20-1-111000000000000
χ282222-2-2-12-22-22-12-1-1221111-11-2-2-1-1-11-1-1-22211-2111100-1-133−3−3000033−3−333−3−30000−3−3−3−33333-20002011-1-1000000000000
χ292222-2-2-12-22-22-12-1-1221111-11-2-2-1-1-11-1-1-22211-2111100-1-1−3−3330000−3−333−3−33300003333−3−3−3−3-20002011-1-1000000000000
χ302222-2-2-12-22-22-12-1-1221111-11-2-2-1-1-11-1-1-22211-2111100-1-1−3−3330000−3−333−3−3330000−3−3−3−333332000-20-1-111000000000000
χ3122-2-22-2222-2-2222-2-2-2-222-2-2222-2-2-22-22-222-222-2-2-22-2002-20000000000000000000000000000000000000000000000002-2
χ3222-2-22-2222-2-2222-2-2-2-222-2-2222-2-2-22-22-222-222-2-2-22-2002-2000000000000000000000000000000000000000000000000-22
χ3322-2-22-222-222-222-2-2-2-2-2-222222-2-2-22-2-22-2-22-2-22222-22-2-222-22-22-22-22-22-22-22-20000000000000000000000000000000000
χ3422-2-22-222-222-222-2-2-2-2-2-222222-2-2-22-2-22-2-22-2-22222-2-22-22-22-22-22-22-22-22-22-220000000000000000000000000000000000
χ3522-2-22-22-1-222-22-1-2-211-2-222-12-1111-1-2-2211-111-1-1-1-112-21-12-22-2-11-11-11-11-11-1100000000000000000000003−33−33−33−30000
χ3622-2-22-22-1-222-22-1-2-211-2-222-12-1111-1-2-2211-111-1-1-1-112-21-12-22-2-11-11-11-11-11-110000000000000000000000−33−33−33−330000
χ3722-2-22-22-1-222-22-1-2-211-2-222-12-1111-1-2-2211-111-1-1-1-11-221-1-22-221-11-11-11-11-11-100000000000000000000003−3−33−333−30000
χ3822-2-22-22-1-222-22-1-2-211-2-222-12-1111-1-2-2211-111-1-1-1-11-221-1-22-221-11-11-11-11-11-10000000000000000000000−333−33−3−330000
χ3922-2-22-2-12-222-2-1211-2-211-1-1-1-12-211-111-1-2-22112-1-1-112-21-1-11-112-22-2-11-11-11-11000033−3−333−3−30000003−33−3000000000000
χ4022-2-22-2-12-222-2-1211-2-211-1-1-1-12-211-111-1-2-22112-1-1-112-21-1-11-112-22-2-11-11-11-110000−3−333−3−333000000−33−33000000000000
χ4122-2-22-2-12-222-2-1211-2-211-1-1-1-12-211-111-1-2-22112-1-1-11-221-11-11-1-22-221-11-11-11-1000033−3−333−3−3000000−33−33000000000000
χ4222-2-22-2-12-222-2-1211-2-211-1-1-1-12-211-111-1-2-22112-1-1-11-221-11-11-1-22-221-11-11-11-10000−3−333−3−3330000003−33−3000000000000
χ4322-2-2-222222-2-222-2-2-2-222-2-22-2-22-2-222-222-2222-2-2-2-2200-22000000000000000022-2-222-2-2-2-2220000000000000000000000
χ4422-2-2-222222-2-222-2-2-2-222-2-22-2-22-2-222-222-2222-2-2-2-2200-220000000000000000-2-222-2-22222-2-20000000000000000000000
χ4522-2-2-2222-2-22222-2-2-2-2-2-2222-2-22-2-2222-2-22-2-2-2222-22002-2000000000000000000000000000002i−2i0000000002i−2i−2i2i000000
χ4622-2-2-2222-2-22222-2-2-2-2-2-2222-2-22-2-2222-2-22-2-2-2222-22002-200000000000000000000000000000−2i2i000000000−2i2i2i−2i000000
χ4722-2-2-222-1-2-2222-1-2-211-2-222-1-21-111-122-21-1111-1-1-11-100-110000−i3i3i3−i3−i3i3−i3i3i3−i3i3−i300000000000002i−2i0000000−33−iii−i3−30000
χ4822-2-2-222-1-2-2222-1-2-211-2-222-1-21-111-122-21-1111-1-1-11-100-110000−i3i3i3−i3−i3i3−i3i3i3−i3i3−i30000000000000−2i2i00000003−3i−i−ii−330000
χ4922-2-2-222-1-2-2222-1-2-211-2-222-1-21-111-122-21-1111-1-1-11-100-110000i3−i3−i3i3i3−i3i3−i3−i3i3−i3i300000000000002i−2i00000003−3−iii−i−330000
χ5022-2-2-222-1-2-2222-1-2-211-2-222-1-21-111-122-21-1111-1-1-11-100-110000i3−i3−i3i3i3−i3i3−i3−i3i3−i3i30000000000000−2i2i0000000−33i−i−ii3−30000
χ5122-2-2-22-1222-2-2-1211-2-2-1-111-11-2211-1-11-12-22-1-1-2111-1001-13−3−3300003−3−333−3−3322-2-2-1-11111-1-1000000−333−3000000000000
χ5222-2-2-22-1222-2-2-1211-2-2-1-111-11-2211-1-11-12-22-1-1-2111-1001-13−3−3300003−3−333−3−33-2-22211-1-1-1-1110000003−3−33000000000000
χ5322-2-2-22-1222-2-2-1211-2-2-1-111-11-2211-1-11-12-22-1-1-2111-1001-1−333−30000−333−3−333−322-2-2-1-11111-1-10000003−3−33000000000000
χ5422-2-2-22-1222-2-2-1211-2-2-1-111-11-2211-1-11-12-22-1-1-2111-1001-1−333−30000−333−3−333−3-2-22211-1-1-1-111000000−333−3000000000000
χ554444444-2-4-4-4-44-244-2-2-4-4-4-4-24-2-2-2-2-24-4-422222222-2-2002200000000000000000000000000000000000000000000000000
χ56444444-24-4-4-4-4-24-2-2442222-2-244-2-2-2-222-4-4-422-422-2-2002200000000000000000000000000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-211-211114411-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000
χ58444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-211-21111-4-41122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2111-222222-1-12-1-11100-1-1000000003i3i−3i−3i−3i−3i3i3i0000000000000000000000000000000000
χ60444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2111-222222-1-12-1-11100-1-100000000−3i−3i3i3i3i3i−3i−3i0000000000000000000000000000000000
χ614444-4-44-2-44-444-244-2-2-4-4-4-4-2-422-2-2-2-4442-2-2222222200-2-200000000000000000000000000000000000000000000000000
χ624444-4-4-244-44-4-24-2-244-2-2-2-2-22-4-4-2-2-22224-4-4-2-24-2-222002200000000000000000000000000000000000000000000000000
χ634444-4-4-2-24-44-4-2-2-2-2-2-2-2-2-2-21222111222-22211-211-1-100-1-10000−2i3−2i32i32i3i3i3i3i3−i3−i3−i3−i30000000000000000000000000000000000
χ644444-4-4-2-24-44-4-2-2-2-2-2-2-2-2-2-21222111222-22211-211-1-100-1-100002i32i3−2i3−2i3−i3−i3−i3−i3i3i3i3i30000000000000000000000000000000000
χ654444-4-4-2-2-44-44-2-2-2-2-2-2222212221112-2-22-2-2-1-12-1-1-1-100112323−23−230000−3−333−3−3330000000000000000000000000000000000
χ664444-4-4-2-2-44-44-2-2-2-2-2-2222212221112-2-22-2-2-1-12-1-1-1-10011−23−232323000033−3−333−3−30000000000000000000000000000000000
χ6744-4-44-44-24-4-444-2-4-42244-4-4-24-2222-2-44-4-2-22-2-2222-2200-2200000000000000000000000000000000000000000000000000
χ6844-4-44-4-244-4-44-2422-4-4-2-222-2-24-422-22-2244-4-2-2-422-2200-2200000000000000000000000000000000000000000000000000
χ6944-4-44-4-2-24-4-44-2-22222-2-2221-2-22-1-112-22-2-22112-1-11-1001-1000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000
χ7044-4-44-4-2-24-4-44-2-22222-2-2221-2-22-1-112-22-2-22112-1-11-1001-100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000
χ7144-4-44-4-2-2-444-4-2-2222222-2-21-2-22-1-1122-222-2-1-1-2111-14-4-11-22-22-22-221-11-11-11-10000000000000000000000000000000000
χ7244-4-44-4-2-2-444-4-2-2222222-2-21-2-22-1-1122-222-2-1-1-2111-1-44-112-22-22-22-2-11-11-11-110000000000000000000000000000000000
χ7344-4-4-444-244-4-44-2-4-42244-4-4-2-42-222-24-44-22-2-2-22222-2002-200000000000000000000000000000000000000000000000000
χ7444-4-4-44-24-4-444-2422-4-422-2-2-22-4422-2-2-22-44-4224-2-22-200-2200000000000000000000000000000000000000000000000000
χ7544-4-4-44-2-244-4-4-2-22222-2-222122-2-1-11-22-2-22-2112-1-1-1100-1123−23−23230000−333−3−333−30000000000000000000000000000000000
χ7644-4-4-44-2-244-4-4-2-22222-2-222122-2-1-11-22-2-22-2112-1-1-1100-11−232323−2300003−3−333−3−330000000000000000000000000000000000
χ7744-4-4-44-2-2-4-444-2-2222222-2-2122-2-1-11-2-222-22-1-1-211-11001-10000−2i32i32i3−2i3i3−i3i3−i3−i3i3−i3i30000000000000000000000000000000000
χ7844-4-4-44-2-2-4-444-2-2222222-2-2122-2-1-11-2-222-22-1-1-211-11001-100002i3−2i3−2i32i3−i3i3−i3i3i3−i3i3−i30000000000000000000000000000000000
χ794-44-400440000-4-44-4-44000040004-4-40000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ804-44-400440000-4-44-4-44000040004-4-4000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ814-44-400-2400002-4-22-4423−2323−23-2000-22200000023−23023−2300000000000000000000002i−2i2i−2iζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ110000000000000000000000
χ824-44-400-2400002-4-22-4423−2323−23-2000-22200000023−23023−230000000000000000000000−2i2i−2i2i−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ110000000000000000000000
χ834-44-400-2400002-4-22-44−2323−2323-2000-222000000−23230−232300000000000000000000002i−2i2i−2i−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ110000000000000000000000
χ844-44-400-2400002-4-22-44−2323−2323-2000-222000000−23230−23230000000000000000000000−2i2i−2i2iζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ110000000000000000000000
χ854-4-4400440000-4-4-444-400004000-44-40000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i−2i2i2i−2i0000000000000000000000
χ864-4-4400440000-4-4-444-400004000-44-4000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i0000000000000000000000
χ874-4-4400-2400002-42-24-423−23−2323-20002-2200000023−230−232300000000000000000000002i−2i−2i2iζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ110000000000000000000000
χ884-4-4400-2400002-42-24-423−23−2323-20002-2200000023−230−23230000000000000000000000−2i2i2i−2i−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ110000000000000000000000
χ894-4-4400-2400002-42-24-4−232323−23-20002-22000000−2323023−2300000000000000000000002i−2i−2i2i−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ110000000000000000000000
χ904-4-4400-2400002-42-24-4−232323−23-20002-22000000−2323023−230000000000000000000000−2i2i2i−2iζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ110000000000000000000000
χ918-88-8008-40000-848-84-40000-4000-4440000000000000000000000000000000000000000000000000000000000000000000
χ928-88-800-4-4000044-444-443−4343−4320002-2-2000000−23230−232300000000000000000000000000000000000000000000000000000000
χ938-88-800-4-4000044-444-4−4343−434320002-2-200000023−23023−2300000000000000000000000000000000000000000000000000000000
χ948-8-88008-40000-84-88-440000-40004-440000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-40000444-4-4443−43−43432000-22-2000000−2323023−2300000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-40000444-4-44−434343−432000-22-200000023−230−232300000000000000000000000000000000000000000000000000000000

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