Finite Group Databasebeta

← Group #11793102

Character table — Group #11793102

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444424242424242424242424242424242424242424242424242472727272
order12442223344466666612121212121212123444466666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244444488121212121212121212121212242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111
χ7111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111
χ8111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1
χ922222222-12222-122-1-122-1-1-1-122-122222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002222000000-1-1-1-1-1-1-1-100000000
χ1022222222-12222-122-1-122-1-1-1-122-122222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-20000001111111100000000
χ1122222222-12222-122-1-122-1-1-1-122-1-2-2-2-22-1-1-1-1-1-12-1-1-122-1-111111111-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110022-2-2000000-1-1-1-1111100000000
χ1222222222-12222-122-1-122-1-1-1-122-1-2-2-2-22-1-1-1-1-1-12-1-1-122-1-111111111-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100-2-2220000001111-1-1-1-100000000
χ132222222-12222-12-1-122-1-12222-1-1-12222-122-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122000022-1-1-1-100000000-1-1-1-10000
χ142222222-12222-12-1-122-1-12222-1-1-12222-122-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2-211110000000011110000
χ152222222-12222-12-1-122-1-12222-1-1-1-2-2-2-2-122-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111111111111220000-2-2-1-1-1-10000000011110000
χ162222222-12222-12-1-122-1-12222-1-1-1-2-2-2-2-122-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111111111111-2-2000022111100000000-1-1-1-10000
χ1722222-2-222-2-2222-2-2-2-2-2-222-2-2222000022-222-2-2-22-2-22-22-2000000002222-2-2-2-20000000000000000000000002i−2i0000002i2i−2i−2i0000000000000000
χ1822222-2-222-2-2222-2-2-2-2-2-222-2-2222000022-222-2-2-22-2-22-22-2000000002222-2-2-2-2000000000000000000000000−2i2i000000−2i−2i2i2i0000000000000000
χ1922222-2-2-12-2-22-1211-2-21122-2-2-1-1-10000-12-2-1-1111-111-112-200000000-1-1-1-111113333−3−3−3−333333333−3−3−3−3−3−3−3−32i−2i000000−i−iii00000000−i3−i3i3i30000
χ2022222-2-2-12-2-22-1211-2-21122-2-2-1-1-10000-12-2-1-1111-111-112-200000000-1-1-1-111113333−3−3−3−333333333−3−3−3−3−3−3−3−3−2i2i000000ii−i−i00000000i3i3−i3−i30000
χ2122222-2-2-12-2-22-1211-2-21122-2-2-1-1-10000-12-2-1-1111-111-112-200000000-1-1-1-11111−3−3−3−33333−3−3−3−3−3−3−3−3333333332i−2i000000−i−iii00000000i3i3−i3−i30000
χ2222222-2-2-12-2-22-1211-2-21122-2-2-1-1-10000-12-2-1-1111-111-112-200000000-1-1-1-11111−3−3−3−33333−3−3−3−3−3−3−3−333333333−2i2i000000ii−i−i00000000−i3−i3i3i30000
χ232222-22-2222-2-22222-2-22222-2-22220000-2-22-2-222-22-2-2-2-2-220000000022-2-222-2-2000000000000000000000000000000000000000000000000002i−2i
χ242222-22-2222-2-22222-2-22222-2-22220000-2-22-2-222-22-2-2-2-2-220000000022-2-222-2-200000000000000000000000000000000000000000000000000−2i2i
χ252222-2-2222-22-222-2-222-2-222222220000-2-2-2-2-2-2-22222-22-2-20000000022-2-2-2-22200000000000000000000000000002-2000000000022-2-200000000
χ262222-2-2222-22-222-2-222-2-222222220000-2-2-2-2-2-2-22222-22-2-20000000022-2-2-2-2220000000000000000000000000000-220000000000-2-22200000000
χ272222-2-222-1-22-22-1-2-2-1-1-2-2-1-1-1-122-10000-21111112-1-1-1-2211−i3−i3−i3−i3i3i3i3i3-1-11111-1-100000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i300002-2000000−i3−i3i3i3-1-11100000000
χ282222-2-222-1-22-22-1-2-2-1-1-2-2-1-1-1-122-10000-21111112-1-1-1-2211−i3−i3−i3−i3i3i3i3i3-1-11111-1-100000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i30000-22000000i3i3−i3−i311-1-100000000
χ292222-2-222-1-22-22-1-2-2-1-1-2-2-1-1-1-122-10000-21111112-1-1-1-2211i3i3i3i3−i3−i3−i3−i3-1-11111-1-100000000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i300002-2000000i3i3−i3−i3-1-11100000000
χ302222-2-222-1-22-22-1-2-2-1-1-2-2-1-1-1-122-10000-21111112-1-1-1-2211i3i3i3i3−i3−i3−i3−i3-1-11111-1-100000000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i30000-22000000−i3−i3i3i311-1-100000000
χ3122-2-222222-2-2-2222222-2-2-2-2-2-2-2-22000022222222222-2-2-2-200000000-2-2-2-2-2-2-2-2000000000000000000000000002-2000000002-22-2000000000000
χ3222-2-222222-2-2-2222222-2-2-2-2-2-2-2-22000022222222222-2-2-2-200000000-2-2-2-2-2-2-2-200000000000000000000000000-2200000000-22-22000000000000
χ3322-2-22222-1-2-2-22-122-1-1-2-21111-2-2-100002-1-1-1-1-1-12-1-1-1-2-211−i3−i3i3i3−i3−i3i3i31111111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3002-200000000-11-11−i3i3−i3i300000000
χ3422-2-22222-1-2-2-22-122-1-1-2-21111-2-2-100002-1-1-1-1-1-12-1-1-1-2-211−i3−i3i3i3−i3−i3i3i31111111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300-22000000001-11-1i3−i3i3−i300000000
χ3522-2-22222-1-2-2-22-122-1-1-2-21111-2-2-100002-1-1-1-1-1-12-1-1-1-2-211i3i3−i3−i3i3i3−i3−i31111111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3002-200000000-11-11i3−i3i3−i300000000
χ3622-2-22222-1-2-2-22-122-1-1-2-21111-2-2-100002-1-1-1-1-1-12-1-1-1-2-211i3i3−i3−i3i3i3−i3−i31111111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300-22000000001-11-1−i3i3−i3i300000000
χ3722-2-22-2-22222-222-2-2-2-222-2-222-2-22000022-222-2-2-22-2-2-22-2200000000-2-2-2-222220000000000000000000000000000000000000000000000002-200
χ3822-2-22-2-22222-222-2-2-2-222-2-222-2-22000022-222-2-2-22-2-2-22-2200000000-2-2-2-22222000000000000000000000000000000000000000000000000-2200
χ3922-2-2-22-222-2222222-2-2-2-2-2-222-2-220000-2-22-2-222-22-2-2222-200000000-2-222-2-2220000000000000000000000000000002i−2i0000000000002i−2i2i−2i0000
χ4022-2-2-22-222-2222222-2-2-2-2-2-222-2-220000-2-22-2-222-22-2-2222-200000000-2-222-2-222000000000000000000000000000000−2i2i000000000000−2i2i−2i2i0000
χ4122-2-2-22-2-12-222-12-1-1-2-211-2-22211-100001-2211-1-11-111-1-12-20000000011-1-111-1-133−3−333−3−333−3−3−3−333−3−33333−3−30000002i−2i−i3i3−i3i300000000−ii−ii0000
χ4222-2-2-22-2-12-222-12-1-1-2-211-2-22211-100001-2211-1-11-111-1-12-20000000011-1-111-1-133−3−333−3−333−3−3−3−333−3−33333−3−3000000−2i2ii3−i3i3−i300000000i−ii−i0000
χ4322-2-2-22-2-12-222-12-1-1-2-211-2-22211-100001-2211-1-11-111-1-12-20000000011-1-111-1-1−3−333−3−333−3−33333−3−333−3−3−3−3330000002i−2ii3−i3i3−i300000000−ii−ii0000
χ4422-2-2-22-2-12-222-12-1-1-2-211-2-22211-100001-2211-1-11-111-1-12-20000000011-1-111-1-1−3−333−3−333−3−33333−3−333−3−3−3−333000000−2i2i−i3i3−i3i300000000i−ii−i0000
χ4522-2-2-2-22222-2222-2-22222-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-222222-22222-2-2-2-222-2-22222-2-222-2-2-2-22222-2-2-2-22222-2-2-2-2220000000000000000000000000000
χ4622-2-2-2-22222-2222-2-22222-2-2-2-2-2-22-2-222-2-2-2-2-2-2-222222-222-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-20000000000000000000000000000
χ4722-2-2-2-222-12-222-1-2-2-1-1221111-2-2-122-2-2-21111112-1-1-12-2-1-1-1-11111-1-111-1-1-1-11122-2-2-2-222-1-11111-1-1-1-11111-1-1000000000000−i3i3i3−i3−i3i3i3−i300000000
χ4822-2-2-2-222-12-222-1-2-2-1-1221111-2-2-122-2-2-21111112-1-1-12-2-1-1-1-11111-1-111-1-1-1-11122-2-2-2-222-1-11111-1-1-1-11111-1-1000000000000i3−i3−i3i3i3−i3−i3i300000000
χ4922-2-2-2-222-12-222-1-2-2-1-1221111-2-2-1-2-222-21111112-1-1-12-2-1-111-1-1-1-11111-1-1-1-111-2-22222-2-211-1-1-1-11111-1-1-1-111000000000000−i3i3i3−i3i3−i3−i3i300000000
χ5022-2-2-2-222-12-222-1-2-2-1-1221111-2-2-1-2-222-21111112-1-1-12-2-1-111-1-1-1-11111-1-1-1-111-2-22222-2-211-1-1-1-11111-1-1-1-111000000000000i3−i3−i3i3−i3i3i3−i300000000
χ5122-2-2-2-22-122-22-121122-1-1-2-2-2-211-122-2-21-2-21111-1-1-1-1-112222-2-2-2-22211-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1000000003−3−3300000000−333−30000
χ5222-2-2-2-22-122-22-121122-1-1-2-2-2-211-122-2-21-2-21111-1-1-1-1-112222-2-2-2-22211-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-100000000−333−3000000003−3−330000
χ5322-2-2-2-22-122-22-121122-1-1-2-2-2-211-1-2-2221-2-21111-1-1-1-1-1122-2-22222-2-211-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111000000003−3−33000000003−3−330000
χ5422-2-2-2-22-122-22-121122-1-1-2-2-2-211-1-2-2221-2-21111-1-1-1-1-1122-2-22222-2-211-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11100000000−333−300000000−333−30000
χ554444444-2-2444-2-2-2-2-2-2-2-2-2-2-2-2-2-214444-2-2-21111-2111-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-211111111111111110000000000000000000000000000
χ564444444-2-2444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4-2-2-21111-2111-2-2-2-2222222221111111122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
χ5744444-4-44-2-4-444-2-4-422-4-4-2-22244-200004-22-2-222-4-2224-4-2200000000-2-2-2-222220000000000000000000000000000000000000000000000000000
χ5844444-4-4-2-2-4-44-2-2222222-2-222-2-210000-2-2211-1-121-1-1-22-22000000001111-1-1-1-123232323−23−23−23−23−3−3−3−3−3−3−3−3333333330000000000000000000000000000
χ5944444-4-4-2-2-4-44-2-2222222-2-222-2-210000-2-2211-1-121-1-1-22-22000000001111-1-1-1-1−23−23−23−232323232333333333−3−3−3−3−3−3−3−30000000000000000000000000000
χ604444-44-44-24-4-44-2442244-2-22244-20000-42-222-2-2-4-222-4-42-200000000-2-222-2-2220000000000000000000000000000000000000000000000000000
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χ664444-4-44-2-2-44-4-2-222-2-222-2-2-2-2-2-210000222-1-1-1-1-21112-2222i32i32i32i3−2i3−2i3−2i3−2i311-1-1-1-11100000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i30000000000000000000000000000
χ6744-4-4444-24-4-4-4-24-2-24422-4-4-4-422-20000-244-2-2-2-2-2-2-2-222-4-400000000222222220000000000000000000000000000000000000000000000000000
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χ7144-4-44-4-4-2444-4-2422-4-4-2-2-4-44422-20000-24-4-2-2222-2222-2-44000000002222-2-2-2-20000000000000000000000000000000000000000000000000000
χ7244-4-44-4-4-2-244-4-2-22222-2-222-2-22210000-2-2211-1-121-1-12-22-200000000-1-1-1-11111000000003i3i−3i−3i3i3i−3i−3i−3i−3i3i3i−3i−3i3i3i0000000000000000000000000000
χ7344-4-44-4-4-2-244-4-2-22222-2-222-2-22210000-2-2211-1-121-1-12-22-200000000-1-1-1-1111100000000−3i−3i3i3i−3i−3i3i3i3i3i−3i−3i3i3i−3i−3i0000000000000000000000000000
χ7444-4-4-44-44-2-4444-24422-4-422-2-2-4-4-20000-42-222-2-2-4-22244-220000000022-2-222-2-20000000000000000000000000000000000000000000000000000
χ7544-4-4-44-4-2-2-444-2-2-2-2222222-2-2221000022-2-1-11121-1-1-2-2-2200000000-1-111-1-1112323−23−232323−23−23−3−33333−3−333−3−3−3−3330000000000000000000000000000
χ7644-4-4-44-4-2-2-444-2-2-2-2222222-2-2221000022-2-1-11121-1-1-2-2-2200000000-1-111-1-111−23−232323−23−23232333−3−3−3−333−3−33333−3−30000000000000000000000000000
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χ1124-4−4i4i000-2-2000222i3−2i3−2i32i323−232i−2i−23232i−2i1-222i−2i000-33−i3i30-1i3−i300001+i3−1−i32ζ11−2ζ112ζ7−2ζ71−i3−1+i3−ii3i−3i−333−31−3−1+3ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ111+3−1−3−ζ2+ζ7+2ζ11ζ2−ζ7−2ζ11−2ζ2−ζ10−ζ112ζ2+ζ10+ζ11ζ2−ζ7+2ζ10−ζ2+ζ7−2ζ10−2ζ7−ζ10−ζ112ζ7+ζ10+ζ11−ζ2−ζ7−2ζ11ζ2+ζ7+2ζ112ζ2+ζ10−ζ11−2ζ2−ζ10+ζ11−ζ2−ζ7−2ζ10ζ2+ζ7+2ζ102ζ7−ζ10+ζ11−2ζ7+ζ10−ζ110000000000000000000000000000
χ1134-4−4i4i000-2-2000222i3−2i32i3−2i323−232i−2i23−232i−2i12-2−2i2i0003-3−i3i30-1−i3i30000−1+i31−i3−2ζ72ζ7−2ζ112ζ11−1−i31+i3−ii−3i3i−33−33−1+31−3−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−1−31+32ζ7+ζ10+ζ11−2ζ7−ζ10−ζ11−ζ2+ζ7−2ζ10ζ2−ζ7+2ζ102ζ2+ζ10+ζ11−2ζ2−ζ10−ζ11ζ2−ζ7−2ζ11−ζ2+ζ7+2ζ11−2ζ7+ζ10−ζ112ζ7−ζ10+ζ11ζ2+ζ7+2ζ10−ζ2−ζ7−2ζ10−2ζ2−ζ10+ζ112ζ2+ζ10−ζ11ζ2+ζ7+2ζ11−ζ2−ζ7−2ζ110000000000000000000000000000
χ1144-4−4i4i000-2-2000222i3−2i32i3−2i323−232i−2i23−232i−2i1-222i−2i0003-3−i3i30-1−i3i300001−i3−1+i32ζ7−2ζ72ζ11−2ζ111+i3−1−i3−ii−3i3i−33−331−3−1+3ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ111+3−1−3−2ζ7−ζ10−ζ112ζ7+ζ10+ζ11ζ2−ζ7+2ζ10−ζ2+ζ7−2ζ10−2ζ2−ζ10−ζ112ζ2+ζ10+ζ11−ζ2+ζ7+2ζ11ζ2−ζ7−2ζ112ζ7−ζ10+ζ11−2ζ7+ζ10−ζ11−ζ2−ζ7−2ζ10ζ2+ζ7+2ζ102ζ2+ζ10−ζ11−2ζ2−ζ10+ζ11−ζ2−ζ7−2ζ11ζ2+ζ7+2ζ110000000000000000000000000000

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