Finite Group Databasebeta

← Group #13172070

Character table — Group #13172070

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order122233366666666623336666666666666666644444412121212366666666666624412121212121212121212121212121212121212121212444466661212121212121212244412121212121244612122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-11-1111111111111-1-111111111-1-111-1-1-1-1-111111-1-1-11-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1111111111111111111-11-1-1111111-1-1-1-11111111111-1-1-1-111111-1-1-1-1-1111-11-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111-1-111111111111111111-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-111
χ51111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1111-1-1-1-1-1-1-1-11-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111-11-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-11-1-1-1-1-1-1-11111-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-111-11-1-1-1-1111111-1-1-11
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
χ91111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-11111111-1-1-1-1-1111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1111-1-111-1-1-1-1-1111
χ101111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-11111111-1-1-1-1-1111-1-1-1-1-1-111111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-11-111-1-11111-1-11111-1-1111-1-1-1
χ111111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1111-1-1-1-111-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-111111111-11-1-111-1-1-1-11-111-1-11111-11-1-1
χ121111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-111111-1-11-1-1-1-111-1-11-111
χ131111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-11-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-11-1-11-1-1-1-111111-11-1
χ141111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-1111-1-1111111-1-111-1-1-1-111111111-1-1-1-11-111-1-111-1-11-111-1-111-1-1-11-11
χ151111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-111-1-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-11111-11-1-111-1-111-1-11111-1-1-1-11-1-11
χ161111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1111-1-111-1-111-111-1
χ17222222-1-122-1222-1222-1-122-1-12-1-1-1-1-1-1-1-122-1-12222002222-1222-1-1-1-1-1-1-1-1-120200-1-122-1-1000022-1-1-1-1-1-1-1-100002-1-1-1-100000-1-1202000000000-1-100
χ18222222-1-122-1222-1222-1-122-1-12-1-1-1-1-1-1-1-122-1-12222002222-1222-1-1-1-1-1-1-1-1-1-20-200-1-122-1-10000-2-2-1-1-1-1-1-1-1-10000-211110000011-20-20000000001100
χ19222222-1-122-1222-1222-1-122-1-12-1-1-1-1-1-1-1-122-1-1-2-2-2-200-2-2-2-2-1222-1-1-1-1-1-1-1-1-12020011-2-2110000221111111100002-1-1-1-100000-1-1-20-20000000001100
χ20222222-1-122-1222-1222-1-122-1-12-1-1-1-1-1-1-1-122-1-1-2-2-2-200-2-2-2-2-1222-1-1-1-1-1-1-1-1-1-20-20011-2-2110000-2-2111111110000-211110000011202000000000-1-100
χ21222222-1-122-1222-12-22-1-1-2-2112-1-11111-1-122-1-122-2-2002222-1-2-2-211-1-1-1111120-200-1-1-2-2110000-2-2-1-1-1-1111100002-1-1-110000011-2020000000001-100
χ22222222-1-122-1222-12-22-1-1-2-2112-1-11111-1-122-1-122-2-2002222-1-2-2-211-1-1-11111-20200-1-1-2-211000022-1-1-1-111110000-2111-100000-1-120-2000000000-1100
χ23222222-1-122-1222-12-22-1-1-2-2112-1-11111-1-122-1-1-2-22200-2-2-2-2-1-2-2-211-1-1-1111120-2001122-1-10000-2-21111-1-1-1-100002-1-1-11000001120-2000000000-1100
χ24222222-1-122-1222-12-22-1-1-2-2112-1-11111-1-122-1-1-2-22200-2-2-2-2-1-2-2-211-1-1-11111-202001122-1-10000221111-1-1-1-10000-2111-100000-1-1-2020000000001-100
χ2522222-122-122-1222-12-12-12222-1222222-1-1-1-1-120000220000-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-10000002222-1-1000000002200-12-1-12-1-1-1-1-1-1-10002-1-100000000-10
χ2622222-122-122-1222-12-12-12222-1222222-1-1-1-1-120000220000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-2-1-100000022221100000000-2-2001-211-2-1-1-1-1-111000-2110000000010
χ2722222-122-122-1222-12-12-12222-1222222-1-1-1-1-120000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-12-2211000000-2-2-2-2-1-100000000-2-200-12-1-1211111-1-1000-2110000000010
χ2822222-122-122-1222-12-12-12222-1222222-1-1-1-1-120000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211000000-2-2-2-2110000000022001-211-211111110002-1-100000000-10
χ2922222-122-122-1222-1-2-12-1-2-2-2-2-122-2-2-2-2-1-1-1-1-120000220000-111111-1-1-111112-2-2-1-100000022-2-21100000000-2-200-12-1-1-21-1-1111100021100000000-10
χ3022222-122-122-1222-1-2-12-1-2-2-2-2-122-2-2-2-2-1-1-1-1-120000220000-111111-1-1-11111-2-22-1-100000022-2-2-1-10000000022001-21121-1-111-1-1000-2-1-10000000010
χ3122222-122-122-1222-1-2-12-1-2-2-2-2-122-2-2-2-2-1-1-1-1-120000-2-20000-111111-1-1-1111122-211000000-2-22211000000002200-12-1-1-2-111-1-111000-2-1-10000000010
χ3222222-122-122-1222-1-2-12-1-2-2-2-2-122-2-2-2-2-1-1-1-1-120000-2-20000-111111-1-1-11111-22211000000-2-222-1-100000000-2-2001-2112-111-1-1-1-100021100000000-10
χ332222-12222-122-1-1222-1-12-1-122-1-1-1-1-1-1-122-1-12-1222222-1-1-1-1-12-1-122-1-1-1-1-1-1-10202222-1-122-1-1-1-100-1-1-1-1-1-1-1-10022000002-1-1-1-100020000-1-1-1-1000000
χ342222-12222-122-1-1222-1-12-1-122-1-1-1-1-1-1-122-1-12-12222-2-2-1-1-1-1-12-1-122-1-1-1-1-1-1-10-20-2-222-1-122111100-1-1-1-1-1-1-1-100-2-200000-21111000-200001111000000
χ352222-12222-122-1-1222-1-12-1-122-1-1-1-1-1-1-122-1-12-1-2-2-2-2221111-12-1-122-1-1-1-1-1-1-102022-2-211-2-2-1-1-1-1001111111100-2-2000002-1-1-1-1000-200001111000000
χ362222-12222-122-1-1222-1-12-1-122-1-1-1-1-1-1-122-1-12-1-2-2-2-2-2-21111-12-1-122-1-1-1-1-1-1-10-20-2-2-2-211-2-211110011111111002200000-2111100020000-1-1-1-1000000
χ372222-12222-122-1-122-2-1-1211-2-2-1-1-1111122-1-12-122-2-222-1-1-1-1-1-211-2-2-1-1-111110-20222211-2-2-1-11100-1-1-1-1111100-2-200000-2-1-11100020000-1-111000000
χ382222-12222-122-1-122-2-1-1211-2-2-1-1-1111122-1-12-122-2-2-2-2-1-1-1-1-1-211-2-2-1-1-11111020-2-22211-2-211-1-100-1-1-1-11111002200000211-1-1000-2000011-1-1000000
χ392222-12222-122-1-122-2-1-1211-2-2-1-1-1111122-1-12-1-2-222221111-1-211-2-2-1-1-111110-2022-2-2-1-122-1-111001111-1-1-1-1002200000-2-1-111000-2000011-1-1000000
χ402222-12222-122-1-122-2-1-1211-2-2-1-1-1111122-1-12-1-2-222-2-21111-1-211-2-2-1-1-11111020-2-2-2-2-1-12211-1-1001111-1-1-1-100-2-200000211-1-100020000-1-111000000
χ4122-2-2222-2-2222-2-2-2-2022200002-2-200002-2-2-2-22002-22i−2i00002000002-2-200000002i−2i002-22-22i−2i0000000022-2-2002i−2i0000002i−2i0000000000002i−2i000000
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χ4322-2-2222-2-2222-2-2-2-2022200002-2-200002-2-2-2-2200-222i−2i00002000002-2-200000002i−2i00-22-222i−2i00000000-2-22200−2i2i0000002i−2i000000000000−2i2i000000
χ4422-2-2222-2-2222-2-2-2-2022200002-2-200002-2-2-2-2200-22−2i2i00002000002-2-20000000−2i2i00-22-22−2i2i00000000-2-222002i−2i000000−2i2i0000000000002i−2i000000
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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−i3i3i30002i−2i001-1-22−ii3−300i3i3−i3−i311-1-100−2i2i000000−ii3−300000000−33i−i000000
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−i3i3i3000−2i2i001-1-22i−i−3300i3i3−i3−i311-1-1002i−2i000000i−i−33000000003−3−ii000000
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−i30002i−2i00-112-2−ii−3300i3i3−i3−i3-1-111002i−2i000000−ii−3300000000−33−ii000000
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χ532-2-2222222-2-2-22-2-2-202220000-22-20000-222-2-2-22i−2i00002i−2i2i−2i200000-22-20000000002i−2i00000000002i−2i2i−2i00002i−2i0000000000000000002i−2i00002-20000
χ542-2-2222222-2-2-22-2-2-202220000-22-20000-222-2-2-22i−2i00002i−2i2i−2i200000-22-20000000002i−2i00000000002i−2i2i−2i0000−2i2i000000000000000000−2i2i0000-220000
χ552-2-2222222-2-2-22-2-2-202220000-22-20000-222-2-2-2−2i2i0000−2i2i−2i2i200000-22-2000000000−2i2i0000000000−2i2i−2i2i00002i−2i0000000000000000002i−2i0000-220000
χ562-2-2222222-2-2-22-2-2-202220000-22-20000-222-2-2-2−2i2i0000−2i2i−2i2i200000-22-2000000000−2i2i0000000000−2i2i−2i2i0000−2i2i000000000000000000−2i2i00002-20000
χ5744444-2-2-2-24-2-244-2-24-2-2144-2-2-2-2-2-2-2-2-211-2-21-200000000001-2-2-2111111111404000000000000-2-2000000000000-2-211-200000110000000000000000
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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
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Here i is the imaginary unit (i² = −1).