Finite Group Databasebeta

← Group #11793963

Character table — Group #11793963

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444424242424242424242424242424242424242424242424242472727272
order1222223344446666666666121212123666666666888812121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424244444668812121212121212121212242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-111-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ5111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-111-1-1-1-11111-1-1-1-1-1-111
χ7111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11111-1-111
χ8111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111111111-1-1
χ922222222-2-2-2-22222222222-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000002i−2i00000000002i2i−2i−2i0000
χ1022222222-2-2-2-22222222222-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000−2i2i0000000000−2i−2i2i2i0000
χ112222222-1222222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1200200-1-122-1-100000000-1-1-1-10000
χ122222222-1222222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-200-20011-2-2110000000011110000
χ132222222-1222222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1222-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-21111111111111111200200-1-1-2-2-1-10000000011110000
χ142222222-1222222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1222-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-21111111111111111-200-20011221100000000-1-1-1-10000
χ152222222-1-2-2-2-222222-1-1-1221111-1-1-1-1-1-1-1-1-1-1000011-2-2-2111111-2113333−3−3−3−30000000033333333−3−3−3−3−3−3−3−3000000−i3i32i−2i−i3i300000000−i−iii0000
χ162222222-1-2-2-2-222222-1-1-1221111-1-1-1-1-1-1-1-1-1-1000011-2-2-2111111-2113333−3−3−3−30000000033333333−3−3−3−3−3−3−3−3000000i3−i3−2i2ii3−i300000000ii−i−i0000
χ172222222-1-2-2-2-222222-1-1-1221111-1-1-1-1-1-1-1-1-1-1000011-2-2-2111111-211−3−3−3−3333300000000−3−3−3−3−3−3−3−333333333000000−i3i3−2i2i−i3i300000000ii−i−i0000
χ182222222-1-2-2-2-222222-1-1-1221111-1-1-1-1-1-1-1-1-1-1000011-2-2-2111111-211−3−3−3−3333300000000−3−3−3−3−3−3−3−333333333000000i3−i32i−2ii3−i300000000−i−iii0000
χ19222222-122222-1-1-1-1-1222-1-12222-122-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1022022000000-1-1-1-1-1-1-1-100000000
χ20222222-122222-1-1-1-1-1222-1-12222-122-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10-2-20-2-20000001111111100000000
χ21222222-122222-1-1-1-1-1222-1-12222-122-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111111111110220-2-2000000-1-1-1-1111100000000
χ22222222-122222-1-1-1-1-1222-1-12222-122-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111111111110-2-20220000001111-1-1-1-100000000
χ232222-2-2222-2-222-2-2-2-222222-2-2-2-22-2-222-2-2-2-2200002222-22222-2-2-2-2-200000000000000000000000000000000200-2002200-2-20000000000000000
χ242222-2-2222-2-222-2-2-2-222222-2-2-2-22-2-222-2-2-2-2200002222-22222-2-2-2-2-200000000000000000000000000000000-200200-2-200220000000000000000
χ252222-2-222-222-22-2-2-2-22222222222-2-222-2-2-2-2222-2-2-2-2-2-22-2-2-2-22222222-2-222-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000
χ262222-2-222-222-22-2-2-2-22222222222-2-222-2-2-2-22-2-222-2-2-2-22-2-2-2-222222-2-222-2-222-2-2-2-22222-2-2-2-22222-2-2-2-222220000000000000000000000000000
χ272222-2-22-12-2-222-2-2-2-2-1-1-1221111-111-1-11111-10000-1-122-2-1-1-1-111-21133−3−3−3−333000000003333−3−3−3−3−3−3−3−33333200-200-1-10011000000003−33−30000
χ282222-2-22-12-2-222-2-2-2-2-1-1-1221111-111-1-11111-10000-1-122-2-1-1-1-111-21133−3−3−3−333000000003333−3−3−3−3−3−3−3−33333-2002001100-1-100000000−33−330000
χ292222-2-22-12-2-222-2-2-2-2-1-1-1221111-111-1-11111-10000-1-122-2-1-1-1-111-211−3−33333−3−300000000−3−3−3−333333333−3−3−3−3200-200-1-1001100000000−33−330000
χ302222-2-22-12-2-222-2-2-2-2-1-1-1221111-111-1-11111-10000-1-122-2-1-1-1-111-211−3−33333−3−300000000−3−3−3−333333333−3−3−3−3-2002001100-1-1000000003−33−30000
χ312222-2-22-1-222-22-2-2-2-2-1-1-122-1-1-1-1-111-1-11111-122-2-211-2-221111-1-12-1-1-1-111-1-1112222-2-2-2-2-1-1-1-11111-1-1-1-11111000000−i3i300i3−i300000000−i3i3i3−i30000
χ322222-2-22-1-222-22-2-2-2-2-1-1-122-1-1-1-1-111-1-11111-122-2-211-2-221111-1-12-1-1-1-111-1-1112222-2-2-2-2-1-1-1-11111-1-1-1-11111000000i3−i300−i3i300000000i3−i3−i3i30000
χ332222-2-22-1-222-22-2-2-2-2-1-1-122-1-1-1-1-111-1-11111-1-2-22211-2-221111-1-12-1-111-1-111-1-1-2-2-2-222221111-1-1-1-11111-1-1-1-1000000−i3i300i3−i300000000i3−i3−i3i30000
χ342222-2-22-1-222-22-2-2-2-2-1-1-122-1-1-1-1-111-1-11111-1-2-22211-2-221111-1-12-1-111-1-111-1-1-2-2-2-222221111-1-1-1-11111-1-1-1-1000000i3−i300−i3i300000000−i3i3i3−i30000
χ352222-2-2-12-222-2-11111222-1-12222-1-2-2-1-11111-122-2-2-2-211-11111-1-1-1-1-122-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-11111000000000000−i3−i3i3i3−i3−i3i3i300000000
χ362222-2-2-12-222-2-11111222-1-12222-1-2-2-1-11111-122-2-2-2-211-11111-1-1-1-1-122-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-11111000000000000i3i3−i3−i3i3i3−i3−i300000000
χ372222-2-2-12-222-2-11111222-1-12222-1-2-2-1-11111-1-2-222-2-211-11111-1-1-1-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-11111-1-1-1-1000000000000−i3−i3i3i3i3i3−i3−i300000000
χ382222-2-2-12-222-2-11111222-1-12222-1-2-2-1-11111-1-2-222-2-211-11111-1-1-1-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-11111-1-1-1-1000000000000i3i3−i3−i3−i3−i3i3i300000000
χ392-2-222-22222-2-2-222-2-2-2-22-2222-2-222-2-2-222-2-2200002-22-2-222-2-2-2-2222000000000000000000000000000000000000000000000000000000002i−2i00
χ402-2-222-22222-2-2-222-2-2-2-22-2222-2-222-2-2-222-2-2200002-22-2-222-2-2-2-222200000000000000000000000000000000000000000000000000000000−2i2i00
χ412-2-222-222-2-222-222-2-2-2-22-22-2-22222-2-2-222-2-220000-22-222-2-22222-2-2-20000000000000000000000000000000000002-200000000002-22-200000000
χ422-2-222-222-2-222-222-2-2-2-22-22-2-22222-2-2-222-2-220000-22-222-2-22222-2-2-2000000000000000000000000000000000000-220000000000-22-2200000000
χ432-2-222-2-12-2-2221-1-111-2-221-1-2-222-12-211-1-111-10000-221-1-111-1-1-1-11110000000033−3−333−3−333−3−333−3−333−3−333−3−300002-20000003−33−3-11-1100000000
χ442-2-222-2-12-2-2221-1-111-2-221-1-2-222-12-211-1-111-10000-221-1-111-1-1-1-11110000000033−3−333−3−333−3−333−3−333−3−333−3−30000-22000000−33−331-11-100000000
χ452-2-222-2-12-2-2221-1-111-2-221-1-2-222-12-211-1-111-10000-221-1-111-1-1-1-111100000000−3−333−3−333−3−333−3−333−3−333−3−33300002-2000000−33−33-11-1100000000
χ462-2-222-2-12-2-2221-1-111-2-221-1-2-222-12-211-1-111-10000-221-1-111-1-1-1-111100000000−3−333−3−333−3−333−3−333−3−333−3−3330000-220000003−33−31-11-100000000
χ472-2-22-22222-22-2-2-2-222-2-22-22-2-2222-22-2-2-2-222200002-22-2222-2-222-2-2-20000000000000000000000000000000002i−2i0000000002i−2i−2i2i000000000000
χ482-2-22-22222-22-2-2-2-222-2-22-22-2-2222-22-2-2-2-222200002-22-2222-2-222-2-2-2000000000000000000000000000000000−2i2i000000000−2i2i2i−2i000000000000
χ492-2-22-2222-22-22-2-2-222-2-22-2222-2-22-22-2-2-2-22220000-22-22-2-2-222-2-222200000000000000000000000000000000000000000000000000000000002-2
χ502-2-22-2222-22-22-2-2-222-2-22-2222-2-22-22-2-2-2-22220000-22-22-2-2-222-2-22220000000000000000000000000000000000000000000000000000000000-22
χ512-2-22-22-122-22-2111-1-1-2-221-1-2-222-1-221111-1-1-100002-2-11-1-1-111-1-11110000000033−3−3−3−33333−3−3−3−33333−3−3−3−33302i−2i000000000−iii−i−i3i3i3−i300000000
χ522-2-22-22-122-22-2111-1-1-2-221-1-2-222-1-221111-1-1-100002-2-11-1-1-111-1-11110000000033−3−3−3−33333−3−3−3−33333−3−3−3−3330−2i2i000000000i−i−iii3−i3−i3i300000000
χ532-2-22-22-122-22-2111-1-1-2-221-1-2-222-1-221111-1-1-100002-2-11-1-1-111-1-111100000000−3−33333−3−3−3−33333−3−3−3−33333−3−302i−2i000000000−iii−ii3−i3−i3i300000000
χ542-2-22-22-122-22-2111-1-1-2-221-1-2-222-1-221111-1-1-100002-2-11-1-1-111-1-111100000000−3−33333−3−3−3−33333−3−3−3−33333−3−30−2i2i000000000i−i−ii−i3i3i3−i300000000
χ55444444-24-4-4-4-4-2-2-2-2-2444-2-2-4-4-4-4-244-2-2-2-2-2-2-20000-4-4222222222222000000000000000000000000000000000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-211111114444-2-2-2-2-2111111-211-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111110000000000000000000000000000
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χ58444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-222221-2-21111111000022222-1-1-1-1-1-12-1-123232323−23−23−23−2300000000−3−3−3−3−3−3−3−3333333330000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-222221-2-21111111000022222-1-1-1-1-1-12-1-1−23−23−23−23232323230000000033333333−3−3−3−3−3−3−3−30000000000000000000000000000
χ604444-4-4-244-4-44-22222444-2-2-4-4-4-4-2-4-4-2-22222-2000044-2-22-2-2-2-222222000000000000000000000000000000000000000000000000000000000000
χ614444-4-4-2-24-4-44-22222-2-2-2-2-2222212211-1-1-1-110000-2-2-2-221111-1-12-1-12323−23−23−23−23232300000000−3−3−3−333333333−3−3−3−30000000000000000000000000000
χ624444-4-4-2-24-4-44-22222-2-2-2-2-2222212211-1-1-1-110000-2-2-2-221111-1-12-1-1−23−2323232323−23−23000000003333−3−3−3−3−3−3−3−333330000000000000000000000000000
χ634444-4-4-2-2-444-4-22222-2-2-2-2-2-2-2-2-212211-1-1-1-1144-4-42222-2-1-1-1-111-211-2-222-2-222-2-2-2-222221111-1-1-1-11111-1-1-1-10000000000000000000000000000
χ644444-4-4-2-2-444-4-22222-2-2-2-2-2-2-2-2-212211-1-1-1-11-4-4442222-2-1-1-1-111-21122-2-222-2-22222-2-2-2-2-1-1-1-11111-1-1-1-111110000000000000000000000000000
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χ7344-4-400-240000-22i3−2i32i3−2i34-4-4220000-200-222i3−2i32i3−2i320022−22000000000000000022−220022−22−i6i6−i6i6−22−22−i6i6−i6i6−22−22−i6i6−i6i6−22−220000000000000000000000000000
χ7444-4-400-240000-22i3−2i32i3−2i34-4-4220000-200-222i3−2i32i3−2i3200−22220000000000000000−222200−2222i6−i6i6−i62−22−2i6−i6i6−i62−22−2i6−i6i6−i62−22−20000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.