Finite Group Databasebeta

← Group #13172907

Character table — Group #13172907

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444666666888888888888888899991212121212121212121212121212121212121218181818181818182424242424242424242424242424242436363636363636363654547272108
order1222333666666666233366666666666444444366666666666666644442246612121212121212121212121212124444121212126666666121212121212121212244121212121212226124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1111111111111111111111-111111111111-1-1-1-111-1-1-1-11111-11-111-1-11111111-1-1-11-1-1-1-1-111-1-1-1-1-1
χ3111111111111111111111111111111111-1-1111111111111111111-1-1-1-111-1111111-1-1-1-11111-1-111-1-1-1-1-1-11111111-111-1-1-1-1111-1-111-1-1-1-1-1-11-1-1
χ4111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-111-1-1-111-1-1-1-1-1-1-1-11-1-111-1-111-111
χ51111111111111111111111111111111-1-111111111111111111111-1-1-1-1-111-1-1-1-1-1-11111111111-1-111-1-1-1-11-11-1-1111-1-1111111-1-11-1-111-1-1-1-1-11-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11-1-111-1-1-1-1111-11
χ71111111111111111111111111111111-1-1-1-11111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-11-1-111-1-1-1-1-1-1-111-11-1-1-1-1-11111-1-11
χ81111111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1
χ91111111111111111-1111-1-11111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-11111-1-111-1-1-1
χ101111111111111111-1111-1-11111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-11111-11-1-1-111111111-1-1-1-1-1-1-1-1-1-111111-11-1-111-11111-1-1-1-11-11-1-1-1-1-1-1-1-1111
χ111111111111111111-1111-1-111111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-11111-1-111-1-1-111
χ121111111111111111-1111-1-111111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11-11-1-111111-1-111-1-111-1-1-11111111-1-1
χ131111111111111111-1111-1-1111111111-1-111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-11-111-1-1-1-1-111-1-11111-1-1-11111-1-11-11
χ141111111111111111-1111-1-1111111111-1-111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111111-1-1-111-1-1-1-1-11111-1-11111-11-1
χ151111111111111111-1111-1-1111111111-1-1-1-1111-1-1-1-1-1-1-1-1111-1-1-1-111111-1111-1-1-1-1-1-1-1-1111111-1-1-1-11111-11-111-1-11-1-1-1-111111-11-1-1-1-1-1-11111-1
χ161111111111111111-1111-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-11
χ17222222-1222-1-12-12222-1-1222-1-1-1-122-1-1220022-12-122-1-1-1-1-1-1-1-1-1-1-100002202222-1-10000-1-12200220000002-1-1-1-1-1-10-1-10000-1-1200-1-1000000-100
χ18222222-1222-1-12-12222-1-1222-1-1-1-122-1-12200-2-2-12-122-1-1-1-1-1-1-1-1-1-1-100002-202222-1-1000011-2-200-2-2000000-2-11-1-1110-1-1000011-20011000000100
χ19222222-1222-1-12-12222-1-1222-1-1-1-122-1-1-2-20022-12-122-1-1-1-1-1-1-1-1-1-1-10000-220-2-2-2-2110000-1-12200-2-200000021-111-1-10110000-1-1-20011000000100
χ20222222-1222-1-12-12222-1-1222-1-1-1-122-1-1-2-200-2-2-12-122-1-1-1-1-1-1-1-1-1-1-10000-2-20-2-2-2-211000011-2-20022000000-2111111011000011200-1-1000000-100
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χ22222222-1222-1-12-122-22-1-1-2-22-1-1-1-122-1-12200-2-2-1-21-2-21111-1-1-111110000-220-2-222-1-1000011-2-200-2-200000021-111-1-10-1-100001120011000000-100
χ23222222-1222-1-12-122-22-1-1-2-22-1-1-1-122-1-1-2-20022-1-21-2-21111-1-1-1111100002-2022-2-2110000-1-12200-2-2000000-2-11-1-1110110000-1-120011000000-100
χ24222222-1222-1-12-122-22-1-1-2-22-1-1-1-122-1-1-2-200-2-2-1-21-2-21111-1-1-11111000022022-2-211000011-2-200220000002-1-1-1-1-1-1011000011-200-1-1000000100
χ2522222-1222-122-12-122-12-122-122-1-1-1-12-1002222-1-12-1-122-1-1-1-1-1-1-1-1-1000002200000022-1-122-1-12200220000-10200-1-1-100-1-1-1-1-1-100200-1-100000-10
χ2622222-1222-122-12-122-12-122-122-1-1-1-12-10022-2-2-1-12-1-122-1-1-1-1-1-1-1-1-100000-2200000022-1-1-2-2112200-2-2000010-20011-100-1-1-1-11100-200110000010
χ2722222-1222-122-12-122-12-122-122-1-1-1-12-100-2-222-1-12-1-122-1-1-1-1-1-1-1-1-1000002-2000000-2-21122-1-1-2-200-2-20000-10200-1-11001111-1-100-200110000010
χ2822222-1222-122-12-122-12-122-122-1-1-1-12-100-2-2-2-2-1-12-1-122-1-1-1-1-1-1-1-1-100000-2-2000000-2-211-2-211-2-20022000010-2001110011111100200-1-100000-10
χ2922222-1222-122-12-12-2-12-1-2-2-122-1-1-1-12-1002222-11-211-2-211-1-1-1111100000-2-200000022-1-122-1-1-2-20022000010-20011100-1-111-1-100-200-1-10000010
χ3022222-1222-122-12-12-2-12-1-2-2-122-1-1-1-12-10022-2-2-11-211-2-211-1-1-11111000002-200000022-1-1-2-211-2-200-2-20000-10200-1-1100-1-11111002001100000-10
χ3122222-1222-122-12-12-2-12-1-2-2-122-1-1-1-12-100-2-222-11-211-2-211-1-1-1111100000-22000000-2-21122-1-12200-2-2000010-20011-10011-1-1-1-1002001100000-10
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χ332222-122-1-1222222-12-1-12-1-1-1-1-122-1-1-12222200-122-1-1-1-122-1-1-1-1-1-1-12222202-1-1-1-122-1-1220000-1-10000-1-1-1-1020-1-1002-1-1-1-1-1-1000200000-1-100000
χ342222-122-1-1222222-12-1-12-1-1-1-1-122-1-1-1222-2-200-122-1-1-1-122-1-1-1-1-1-1-1-2-2-2-220-2-1-1-1-12211-2-200001100001111020-1-100-2-1-11111000-2000001100000
χ352222-122-1-1222222-12-1-12-1-1-1-1-122-1-1-12-2-22200-122-1-1-1-122-1-1-1-1-1-1-1-2-2-2-2-2021111-2-2-1-1220000-1-1000011110-201100211-1-1-1-1000-2000001100000
χ362222-122-1-1222222-12-1-12-1-1-1-1-122-1-1-12-2-2-2-200-122-1-1-1-122-1-1-1-1-1-1-12222-20-21111-2-211-2-20000110000-1-1-1-10-201100-2111111000200000-1-100000
χ372222-122-1-1222222-1-2-1-1211-1-1-122-1-1-12222200-1-2-21111-2-2-1-1-111112222-20-211-1-122-1-1220000110000-1-1-1-10-201100-2-1-1-1-111000-2000001100000
χ382222-122-1-1222222-1-2-1-1211-1-1-122-1-1-1222-2-200-1-2-21111-2-2-1-1-11111-2-2-2-2-20211-1-12211-2-20000-1-1000011110-2011002-1-111-1-1000200000-1-100000
χ392222-122-1-1222222-1-2-1-1211-1-1-122-1-1-12-2-22200-1-2-21111-2-2-1-1-11111-2-2-2-220-2-1-111-2-2-1-12200001100001111020-1-100-211-1-111000200000-1-100000
χ402222-122-1-1222222-1-2-1-1211-1-1-122-1-1-12-2-2-2-200-1-2-21111-2-2-1-1-111112222202-1-111-2-211-2-20000-1-10000-1-1-1-1020-1-10021111-1-1000-2000001100000
χ4122-2-22222-22-2-2-22-2-2022200-22-22-22-2-2-20000002000000002-2-200002i2i−2i−2i00000000000000000002-22i−2i2i2i−2i−2i00000000000000000002-22i−2i0000000
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χ4322-2-22222-22-2-2-22-2-2022200-22-22-22-2-2-20000002000000002-2-20000−2i−2i2i2i00000000000000000002-2−2i2i−2i−2i2i2i00000000000000000002-2−2i2i0000000
χ4422-2-22222-22-2-2-22-2-2022200-22-22-22-2-2-20000002000000002-2-20000−2i−2i2i2i0000000000000000000-222i−2i−2i−2i2i2i0000000000000000000-222i−2i0000000
χ452-22-2222-22-22-22-2-2-20222002-2-2-22-2-22-22-22i−2i00200000000-22-200002i−2i2i−2i000002-22-22i−2i2i−2i00000000002i−2i2i−2i000000002-22i−2i000000000000000000
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χ482-22-2222-22-22-22-2-2-20222002-2-2-22-2-22-2-22−2i2i00200000000-22-200002i−2i2i−2i00000-22-22−2i2i−2i2i00000000002i−2i2i−2i00000000-22−2i2i000000000000000000
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χ502-22-2-1221-1-22-22-2-210-1-12−i3i3-111-2211-1-22-2−2i2i00-100−i3i3−i3i3001-11−i3−i3i3i3−2i2i−2i2i000−i3i3-112-2i−i−2i2i0000−330000i−ii−i000−i3i3000-11i−i−33000000000−3300000
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χ522-22-2-1221-1-22-22-2-210-1-12−i3i3-111-2211-1-2-22−2i2i00-100−i3i3−i3i3001-11−i3−i3i3i32i−2i2i−2i000i3−i31-1-22i−i−2i2i0000−330000−ii−ii000i3−i30001-1i−i−330000000003−300000
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χ562-22-2-1221-1-22-22-2-210-1-12i3−i3-111-2211-1-2-22−2i2i00-100i3−i3i3−i3001-11i3i3−i3−i32i−2i2i−2i000−i3i31-1-22i−i−2i2i00003−30000−ii−ii000−i3i30001-1i−i3−3000000000−3300000
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χ1028888-4-4-4-4-4-4-4-4-4-4-4-4-822244222222222000000-144-2-2-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000000000000
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χ1108-88-8-4-4-44-44-44-444402224i3−4i32-2-2-22-2-22-2000000-100−2i32i3−2i32i3001-11i3i3−i3−i30000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-48-444-84-4-848-40-42-4004-22444-4-2-4000000200000000-2-2200000000000000000000000000000000000000000000000000000000000000000
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χ1148-8-88-4-4-44444-444-4-4022200-2-22-2-2-22-22000000-1000000-6611-13-33-30000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).