Finite Group Databasebeta

← Group #13171936

Character table — Group #13171936

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444466888888888888888812121212121212121212121212181818181818181824242424242424242424242424242424242424243636363636363636363654547272108
order122233366666666623336666666666644366666666666666622444661212121212122244444466666661212121212121212121212121244661212121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-111111-1-111-1-111-1-1-1-11111111-1-11-111111-1-1-1-1-11-1-111-1-1-1-1-1-11-1-1
χ311111111111111111111111111111111111111111111111111-111-1-1-111111111-1-1-1-1-1-1-11111-1-111-11-111-1-111111-111-1-1-1-1-1-1-1-1-11-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111111111111-1-11111111111111111-1111111-1-111-1-1-1-1-1-111111-1-1-1-11111111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1
χ61111111111111111111111111111111-1-11111111111111111-11-1-1111-1-1-1-1-1-111-1-1-1-1-1-11-1-1-1-111-1-11-11-1-111-1-1-1-11-111-1-1-1-1-1-111-111
χ71111111111111111111111111111111-1-11111111111111111-1-111-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-11111-11-1-111-1-1-1-1111-11
χ81111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1
χ91111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-111111111111111-1-11-1-1-1-1111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-11
χ101111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11-11-11111-1-111-1-111-1-1111-1-1-1-111-11-11-111-1-1-1-1111-1-1-111-1-11111-11-1
χ111111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-11-1-111111111-1-1-1-111-1-1-1-1-1-1-11-11-11111111-1-1-1111-1-1-1-111111-1-1
χ121111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-1111
χ131111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1111-1-111-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1
χ141111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-111-11-111-1-1-1-1-1-111-1-1-1-1111111111-11-11-1-1-1-1-1-1-111-1111-1-1-1-111-1-11-11
χ151111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-11-11-11-1-1-1-111-1-1-1-111-1-111-11111-1-11-11-11-1-11111-1-11-1-1-111-1-111-1-1-111
χ161111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-11-1-111-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-11111-1-111-1-111-1-1111111-1-111-1-1-1
χ17222222-12-122-122-122-12-122-122-1-1-1-12-122-12-1-1-122-1-1-1-1-1-1-1-1-12022000-1-1-1-1222200000002-1-1-100220-10-1-100-1-1-1-120-1-1000000000-10
χ18222222-12-122-122-122-12-122-122-1-1-1-12-122-12-1-1-122-1-1-1-1-1-1-1-1-120-2-2000-1-11122-2-200000002-1-1-100-2-2010-1-1001111-201100000000010
χ19222222-12-122-122-122-12-122-122-1-1-1-12-1-2-2-12-1-1-122-1-1-1-1-1-1-1-1-1-202200011-1-1-2-2-2-20000000-211100220-101100-1-1-1-1-201100000000010
χ20222222-12-122-122-122-12-122-122-1-1-1-12-1-2-2-12-1-1-122-1-1-1-1-1-1-1-1-1-20-2-20001111-2-2220000000-211100-2-20101100111120-1-1000000000-10
χ21222222-12-122-122-12-2-12-1-2-2-122-1-1-1-12-122-1-2111-2-211-1-1-11111-202-2000-1-1-1-122220000000-2111002-2010-1-100-1-111-20-1-100000000010
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χ23222222-12-122-122-12-2-12-1-2-2-122-1-1-1-12-1-2-2-1-2111-2-211-1-1-11111202-200011-1-1-2-2-2-200000002-1-1-1002-20101100-1-1112011000000000-10
χ24222222-12-122-122-12-2-12-1-2-2-122-1-1-1-12-1-2-2-1-2111-2-211-1-1-1111120-220001111-2-22200000002-1-1-100-220-10110011-1-1-20-1-100000000010
χ2522222-12-12222-1-12222-1-1222-1-1-1-122-1-122-1-1222-1-1-1-1-1-1-1-1-1-1-122002-1-12200-1-1002200002-12-1-1-1-100-102-1-1-1-100000200-1-1000000-100
χ2622222-12-12222-1-12222-1-1222-1-1-1-122-1-122-1-1222-1-1-1-1-1-1-1-1-1-1-12-200-2112200-1-100-2-20000-2-12-1-1110010-2-1-11100000-20011000000100
χ2722222-12-12222-1-12222-1-1222-1-1-1-122-1-1-2-2-1-1222-1-1-1-1-1-1-1-1-1-1-1-22002-1-1-2-2001100-2-2000021-211-1-100-10211-1-100000-20011000000100
χ2822222-12-12222-1-12222-1-1222-1-1-1-122-1-1-2-2-1-1222-1-1-1-1-1-1-1-1-1-1-1-2-200-211-2-2001100220000-21-211110010-2111100000200-1-1000000-100
χ2922222-12-12222-1-122-22-1-1-2-22-1-1-1-122-1-122-11-2-2-21111-1-1-11111-2200-2-1-12200-1-10022000021-211-1-10010-2-1-11100000-200-1-1000000100
χ3022222-12-12222-1-122-22-1-1-2-22-1-1-1-122-1-122-11-2-2-21111-1-1-11111-2-2002112200-1-100-2-20000-21-2111100-102-1-1-1-10000020011000000-100
χ3122222-12-12222-1-122-22-1-1-2-22-1-1-1-122-1-1-2-2-11-2-2-21111-1-1-111112200-2-1-1-2-2001100-2-200002-12-1-1-1-10010-211110000020011000000-100
χ3222222-12-12222-1-122-22-1-1-2-22-1-1-1-122-1-1-2-2-11-2-2-21111-1-1-111112-200211-2-2001100220000-2-12-1-11100-10211-1-100000-200-1-1000000100
χ332222-12222-1-12222-12-1-12-1-1-1-1-122-1-1-1200-122-1-1-1-122-1-1-1-1-1-1-1022222200220000002222-10000-1-1-1-122-100-1-1-1-1-1-1000000-1-1-1-100000
χ342222-12222-1-12222-12-1-12-1-1-1-1-122-1-1-1200-122-1-1-1-122-1-1-1-1-1-1-102-2-222200-2-2000000-2-2-2-2-10000-1-1112-2-100-1-11111000000111100000
χ352222-12222-1-12222-12-1-12-1-1-1-1-122-1-1-1200-122-1-1-1-122-1-1-1-1-1-1-10-222-2-2-20022000000-2-2-2-21000011-1-1-2210011-1-1-1-1000000111100000
χ362222-12222-1-12222-12-1-12-1-1-1-1-122-1-1-1200-122-1-1-1-122-1-1-1-1-1-1-10-2-2-2-2-2-200-2-20000002222100001111-2-2100111111000000-1-1-1-100000
χ372222-12222-1-12222-1-2-1-1211-1-1-122-1-1-1200-1-2-21111-2-2-1-1-11111022-2-222002200000022-2-2-10000-1-1-11-2-210011-1-111000000-1-11100000
χ382222-12222-1-12222-1-2-1-1211-1-1-122-1-1-1200-1-2-21111-2-2-1-1-1111102-22-22200-2-2000000-2-222-10000-1-11-1-221001111-1-100000011-1-100000
χ392222-12222-1-12222-1-2-1-1211-1-1-122-1-1-1200-1-2-21111-2-2-1-1-111110-22-22-2-20022000000-2-2221000011-112-2-100-1-1-1-11100000011-1-100000
χ402222-12222-1-12222-1-2-1-1211-1-1-122-1-1-1200-1-2-21111-2-2-1-1-111110-2-222-2-200-2-200000022-2-210000111-122-100-1-111-1-1000000-1-11100000
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χ4222-2-2222-2-22-222-2-2-2022200-22-2-2-22-2-222-22000000002-2-2000000000002-2002-2000000−2i2i0000000000002-200000000000000−2i2i−2i2i000
χ4322-2-2222-2-22-222-2-2-2022200-22-2-2-22-2-22-222000000002-2-200000000000-2200-220000002i−2i000000000000-22000000000000002i−2i−2i2i000
χ4422-2-2222-2-22-222-2-2-2022200-22-2-2-22-2-22-222000000002-2-200000000000-2200-22000000−2i2i000000000000-2200000000000000−2i2i2i−2i000
χ452-22-22222-2-22-2-2-22-2022200-2-222-2-22-2-200200000000-22-2000000000000000002-22i−2i2i−2i0000000000000000000000002-22i−2i2i−2i0000000
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χ5244444-2-2-2-244-2-2-2-24-4-2-21-4-4-2-2-211-2-2-21-4-41222222-1-1111-1-1-1-14000000220022000000000-2-2110000000-1-1000000000000000000000
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χ1038-8-888-4-44-4-8-844-4480-4-4200-444-2244-4-200200000000-2-22000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-44-44444-44-40222−4i34i32-2-2-22-2-22-200-1002i3−2i32i3−2i30011-1−i3i3−i3i300000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-44-44444-44-402224i3−4i32-2-2-22-2-22-200-100−2i32i3−2i32i30011-1i3−i3i3−i300000000000000000000000000000000000000000000000000000000

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