Finite Group Databasebeta

← Group #13172061

Character table — Group #13172061

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order12223336666666662333666666666666666664444441212121236666666666662446612121212121212121212121212121212121212124444666121212121212121212244412121212121222612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-11-1-11111111111111111111111-1-1-1-1-11-1-11111-1-1-1-1-111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-11111111111111111111-111111111-1-1-1-1-1-111111111-1-1-1-1111-111-1-1-1-1111-11-1-1-1-1-1-1-1-1-11-11-1
χ411111111111111111111111111111111111111111-1-111111111111111111-1-1-1-1-1111111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-11-11
χ51111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111111111-11-1-1-1-1-1-111-1-1-11-1-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11-11-1-1-1-1-1-1-1111-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-111-1-1-1-111-1-1-111111-1-111-1-1-11
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-1
χ91111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-11111111-1-1-1-1-1111-1-1-1-11-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-11111-1-11111-1-11-1
χ101111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-11111111-1-1-1-1-1111-1-1-1-1-11-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1111-1-1-1-1-1-111-11
χ111111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1111-1-1-1-11-111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-111-1-1-111-1-1-1-1-1111
χ121111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-111-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1111-1-111111-1-1-1-1-11111111-1-1-1
χ131111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-11-1-111-1-1111111-1-111-1-1-1-111111111111-1-1-111-1-1-1-11-1-1-1-1-11111-1-11-1-11
χ141111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-1-11-1-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-111-111-1-1-111-1-111-111-1
χ151111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-11-1111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1111-1-1-1-11111-1-1
χ161111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1-1-1111-1-11111-1-11111-1-111-1-1-1-111
χ17222222-1-122-1222-1222-1-122-1-12-1-1-1-1-1-1-1-122-1-12222002222-1222-1-1-1-1-1-1-1-1-122022-1-122-1-1000000-1-1-1-1-1-1-1-10000-1-1-10-120000-1-1202000000000-10-10
χ18222222-1-122-1222-1222-1-122-1-12-1-1-1-1-1-1-1-122-1-12222002222-1222-1-1-1-1-1-1-1-1-1-2-20-2-2-1-122-1-1000000-1-1-1-1-1-1-1-1000011101-2000011-20-20000000001010
χ19222222-1-122-1222-1222-1-122-1-12-1-1-1-1-1-1-1-122-1-1-2-2-2-200-2-2-2-2-1222-1-1-1-1-1-1-1-1-12202211-2-211000000111111110000-1-1-10-120000-1-1-20-20000000001010
χ20222222-1-122-1222-1222-1-122-1-12-1-1-1-1-1-1-1-122-1-1-2-2-2-200-2-2-2-2-1222-1-1-1-1-1-1-1-1-1-2-20-2-211-2-21100000011111111000011101-2000011202000000000-10-10
χ21222222-1-122-1222-12-22-1-1-2-2112-1-11111-1-122-1-122-2-2002222-1-2-2-211-1-1-111112-2022-1-1-2-211000000-1-1-1-111110000-1-1-101-2000011-20200000000010-10
χ22222222-1-122-1222-12-22-1-1-2-2112-1-11111-1-122-1-122-2-2002222-1-2-2-211-1-1-11111-220-2-2-1-1-2-211000000-1-1-1-1111100001110-120000-1-120-2000000000-1010
χ23222222-1-122-1222-12-22-1-1-2-2112-1-11111-1-122-1-1-2-22200-2-2-2-2-1-2-2-211-1-1-111112-20221122-1-10000001111-1-1-1-10000-1-1-101-200001120-2000000000-1010
χ24222222-1-122-1222-12-22-1-1-2-2112-1-11111-1-122-1-1-2-22200-2-2-2-2-1-2-2-211-1-1-11111-220-2-21122-1-10000001111-1-1-1-100001110-120000-1-1-20200000000010-10
χ2522222-122-122-1222-12-12-12222-1222222-1-1-1-1-120000220000-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-10000002222-1-10000000000222-1-1-12-1-1-1-1-1-1-102000000-1-1000-100
χ2622222-122-122-1222-12-12-12222-1222222-1-1-1-1-120000220000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22110000002222-1-10000000000-2-2-211-1-21-1-1-1-1110-200000011000100
χ2722222-122-122-1222-12-12-12222-1222222-1-1-1-1-120000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-122-2-1-1000000-2-2-2-2110000000000-2-22-1-112-11111-1-10-200000011000100
χ2822222-122-122-1222-12-12-12222-1222222-1-1-1-1-120000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211000000-2-2-2-211000000000022-2111-2111111102000000-1-1000-100
χ2922222-122-122-1222-1-2-12-1-2-2-2-2-122-2-2-2-2-1-1-1-1-120000220000-111111-1-1-111112-2-2-1-100000022-2-2-1-10000000000222-1-11-21-1-111110-2000000-1-1000100
χ3022222-122-122-1222-1-2-12-1-2-2-2-2-122-2-2-2-2-1-1-1-1-120000220000-111111-1-1-11111-22-21100000022-2-2-1-10000000000-2-2-21112-1-1-111-1-10200000011000-100
χ3122222-122-122-1222-1-2-12-1-2-2-2-2-122-2-2-2-2-1-1-1-1-120000-2-20000-111111-1-1-111112-22-1-1000000-2-222110000000000-2-22-1-1-1-2111-1-1110200000011000-100
χ3222222-122-122-1222-1-2-12-1-2-2-2-2-122-2-2-2-2-1-1-1-1-120000-2-20000-111111-1-1-11111-22211000000-2-22211000000000022-211-12-111-1-1-1-10-2000000-1-1000100
χ332222-12222-122-1-1222-1-12-1-122-1-1-1-1-1-1-122-1-12-1222222-1-1-1-1-12-1-122-1-1-1-1-1-1-10020022-1-122-1-1-1-122-1-1-1-1-1-1-1-12200000200-1-1-1-1000002-1-1-1-100000000
χ342222-12222-122-1-1222-1-12-1-122-1-1-1-1-1-1-122-1-12-12222-2-2-1-1-1-1-12-1-122-1-1-1-1-1-1-100-20022-1-1221111-2-2-1-1-1-1-1-1-1-1-2-200000-200111100000-2111100000000
χ352222-12222-122-1-1222-1-12-1-122-1-1-1-1-1-1-122-1-12-1-2-2-2-2221111-12-1-122-1-1-1-1-1-1-100200-2-211-2-2-1-1-1-12211111111-2-200000200-1-1-1-100000-2111100000000
χ362222-12222-122-1-1222-1-12-1-122-1-1-1-1-1-1-122-1-12-1-2-2-2-2-2-21111-12-1-122-1-1-1-1-1-1-100-200-2-211-2-21111-2-2111111112200000-2001111000002-1-1-1-100000000
χ372222-12222-122-1-122-2-1-1211-2-2-1-1-1111122-1-12-122-2-222-1-1-1-1-1-211-2-2-1-1-1111100-2002211-2-2-1-11122-1-1-1-11111-2-200000-200-1-111000002-1-11100000000
χ382222-12222-122-1-122-2-1-1211-2-2-1-1-1111122-1-12-122-2-2-2-2-1-1-1-1-1-211-2-2-1-1-11111002002211-2-211-1-1-2-2-1-1-1-11111220000020011-1-100000-211-1-100000000
χ392222-12222-122-1-122-2-1-1211-2-2-1-1-1111122-1-12-1-2-222221111-1-211-2-2-1-1-1111100-200-2-2-1-122-1-111221111-1-1-1-12200000-200-1-11100000-211-1-100000000
χ402222-12222-122-1-122-2-1-1211-2-2-1-1-1111122-1-12-1-2-222-2-21111-1-211-2-2-1-1-1111100200-2-2-1-12211-1-1-2-21111-1-1-1-1-2-20000020011-1-1000002-1-11100000000
χ4122-2-2222-2-2222-2-2-2-2022200002-2-200002-2-2-2-22002-22i−2i00002000002-2-2000000000002-22-22i−2i002i−2i000022-2-22i−2i000000002i−2i00000000002i−2i00000000
χ4222-2-2222-2-2222-2-2-2-2022200002-2-200002-2-2-2-22002-2−2i2i00002000002-2-2000000000002-22-2−2i2i00−2i2i000022-2-2−2i2i00000000−2i2i0000000000−2i2i00000000
χ4322-2-2222-2-2222-2-2-2-2022200002-2-200002-2-2-2-2200-222i−2i00002000002-2-200000000000-22-222i−2i002i−2i0000-2-222−2i2i000000002i−2i0000000000−2i2i00000000
χ4422-2-2222-2-2222-2-2-2-2022200002-2-200002-2-2-2-2200-22−2i2i00002000002-2-200000000000-22-22−2i2i00−2i2i0000-2-2222i−2i00000000−2i2i00000000002i−2i00000000
χ4522-2-2-122-2-2-12211-2-20-1-12−i3i300-111−i3−i3i3i32-211-2-1002-22i−2i−i3−i3i3i3-10−i3i300-111−i3−i3i3i30000000-112-2−ii3−32i−2i−i3−i3i3i3-1-1112i−2i00000000−ii3−30000003−3−ii00000000
χ4622-2-2-122-2-2-12211-2-20-1-12−i3i300-111−i3−i3i3i32-211-2-1002-2−2i2i−i3−i3i3i3-10−i3i300-111−i3−i3i3i30000000-112-2i−i−33−2i2i−i3−i3i3i3-1-111−2i2i00000000i−i−33000000−33i−i00000000
χ4722-2-2-122-2-2-12211-2-20-1-12−i3i300-111−i3−i3i3i32-211-2-100-222i−2ii3i3−i3−i3-10−i3i300-111−i3−i3i3i300000001-1-22−ii3−32i−2ii3i3−i3−i311-1-1−2i2i00000000−ii3−3000000−33i−i00000000
χ4822-2-2-122-2-2-12211-2-20-1-12−i3i300-111−i3−i3i3i32-211-2-100-22−2i2ii3i3−i3−i3-10−i3i300-111−i3−i3i3i300000001-1-22i−i−33−2i2ii3i3−i3−i311-1-12i−2i00000000i−i−330000003−3−ii00000000
χ4922-2-2-122-2-2-12211-2-20-1-12i3−i300-111i3i3−i3−i32-211-2-1002-22i−2ii3i3−i3−i3-10i3−i300-111i3i3−i3−i30000000-112-2−ii−332i−2ii3i3−i3−i3-1-1112i−2i00000000−ii−33000000−33−ii00000000
χ5022-2-2-122-2-2-12211-2-20-1-12i3−i300-111i3i3−i3−i32-211-2-1002-2−2i2ii3i3−i3−i3-10i3−i300-111i3i3−i3−i30000000-112-2i−i3−3−2i2ii3i3−i3−i3-1-111−2i2i00000000i−i3−30000003−3i−i00000000
χ5122-2-2-122-2-2-12211-2-20-1-12i3−i300-111i3i3−i3−i32-211-2-100-222i−2i−i3−i3i3i3-10i3−i300-111i3i3−i3−i300000001-1-22−ii−332i−2i−i3−i3i3i311-1-1−2i2i00000000−ii−330000003−3i−i00000000
χ5222-2-2-122-2-2-12211-2-20-1-12i3−i300-111i3i3−i3−i32-211-2-100-22−2i2i−i3−i3i3i3-10i3−i300-111i3i3−i3−i300000001-1-22i−i3−3−2i2i−i3−i3i3i311-1-12i−2i00000000i−i3−3000000−33−ii00000000
χ532-2-2222222-2-2-22-2-2-202220000-22-20000-222-2-2-22i−2i00002i−2i2i−2i200000-22-20000000002i−2i00000000002i−2i2i−2i0000002i−2i000000000000000000002i−2i2-20000
χ542-2-2222222-2-2-22-2-2-202220000-22-20000-222-2-2-22i−2i00002i−2i2i−2i200000-22-20000000002i−2i00000000002i−2i2i−2i000000−2i2i00000000000000000000−2i2i-220000
χ552-2-2222222-2-2-22-2-2-202220000-22-20000-222-2-2-2−2i2i0000−2i2i−2i2i200000-22-2000000000−2i2i0000000000−2i2i−2i2i0000002i−2i000000000000000000002i−2i-220000
χ562-2-2222222-2-2-22-2-2-202220000-22-20000-222-2-2-2−2i2i0000−2i2i−2i2i200000-22-2000000000−2i2i0000000000−2i2i−2i2i000000−2i2i00000000000000000000−2i2i2-20000
χ5744444-2-2-2-24-2-244-2-24-2-2144-2-2-2-2-2-2-2-2-211-2-21-200000000001-2-2-2111111111440-2-2000000000000000000000000-2110-2-20000110000000000000000
χ5844444-2-2-2-24-2-244-2-24-2-2144-2-2-2-2-2-2-2-2-211-2-21-200000000001-2-2-2111111111-4-40220000000000000000000000002-1-10220000-1-10000000000000000
χ5944444-2-2-2-24-2-244-2-2-4-2-21-4-422-2-2-2222211-2-21-200000000001222-1-1111-1-1-1-14-40-2-2000000000000000000000000-2110220000-1-10000000000000000
χ6044444-2-2-2-24-2-244-2-2-4-2-21-4-422-2-2-2222211-2-21-200000000001222-1-1111-1-1-1-1-440220000000000000000000000002-1-10-2-20000110000000000000000
χ614444-24-2-24-2-24-2-2-244-21-2-2-2-2-2-2111111-2-2-2-2-21444400-2-2-2-214-2-2-2-2111111100000-2-2-2-2-2-20000001111111100000000000000000000000000000000
χ624444-24-2-24-2-24-2-2-244-21-2-2-2-2-2-2111111-2-2-2-2-21-4-4-4-400222214-2-2-2-2111111100000222222000000-1-1-1-1-1-1-1-100000000000000000000000000000000
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χ644444-24-2-24-2-24-2-2-24-4-21-22222-211-1-1-1-1-2-2-2-2-21-4-4440022221-42222111-1-1-1-10000022-2-2-2-2000000-1-1-1-1111100000000000000000000000000000000
χ654444-2-244-2-24-2-2-24-241-2-2-2-2441-2-2-2-2-2-2-2-211-2-200004400001-211-2-2111111100400000000-2-2-2-2-2-2000000000000000-2001111000000000000000000
χ664444-2-244-2-24-2-2-24-241-2-2-2-2441-2-2-2-2-2-2-2-211-2-20000-4-400001-211-2-2111111100-400000000222222000000000000000200-1-1-1-1000000000000000000
χ674444-2-244-2-24-2-2-24-2-41-2-222-4-41-2-22222-2-211-2-2000044000012-1-122111-1-1-1-100-400000000-2-222-2-200000000000000020011-1-1000000000000000000
χ684444-2-244-2-24-2-2-24-2-41-2-222-4-41-2-22222-2-211-2-20000-4-4000012-1-122111-1-1-1-10040000000022-2-222000000000000000-200-1-111000000000000000000
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χ7144-4-44-24-4244-2-4-4-420-24-20000-2-4-40000-22222400004i−4i0000-200000-2220000000000000004i−4i00−2i2i000000000000000000−2i2i00000000000000000000
χ7244-4-44-24-4244-2-4-4-420-24-20000-2-4-40000-2222240000−4i4i0000-200000-222000000000000000−4i4i002i−2i0000000000000000002i−2i00000000000000000000
χ7344-4-4-24-22-4-2-24222-40-21-2−2i32i300-2-1-1i3i3−i3−i3-222221004-400−2i3−2i32i32i310−2i32i3001-1-1i3i3−i3−i30000000-22-22000000i3i3−i3−i311-1-100000000000000000000000000000000
χ7444-4-4-24-22-4-2-24222-40-21-2−2i32i300-2-1-1i3i3−i3−i3-22222100-44002i32i3−2i3−2i310−2i32i3001-1-1i3i3−i3−i300000002-22-2000000−i3−i3i3i3-1-11100000000000000000000000000000000
χ7544-4-4-24-22-4-2-24222-40-21-22i3−2i300-2-1-1−i3−i3i3i3-222221004-4002i32i3−2i3−2i3102i3−2i3001-1-1−i3−i3i3i30000000-22-22000000−i3−i3i3i311-1-100000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).