Finite Group Databasebeta

← Group #13172075

Character table — Group #13172075

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444466888888888888888812121212121212121212121212181818181818181824242424242424242424242424242424242424243636363636363636363654547272108
order122233366666666623336666666666622366666666666666624444666612121212444444446666661212121212121212121212121212241212121212121212446124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-11111111-1-1-1-111-1-1-1-1111111-1-11-1111111-1-1-1-1-1111-1-1-1-1-1-1-1-1-11-1
χ31111111111111111111111111111111111111111111111111-1111-11111-1-11111-1-1-1-1-1-1-1-111-1-111111-111-1-111111-1-1-111-1-1-1-1-1-11-1-1
χ41111111111111111111111111111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11-11-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111111111111-1-111111111111111111-1111-1-1-1-11111-1-1-1-1111111-1-11111-11-11-1-1111111-1-1-1-1-1-11111-1-1-1-1-1
χ61111111111111111111111111111111-1-111111111111111111-1-1-11-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-11-1-111-1-1-1-11-1-1-111-1-1-1-1111-11
χ71111111111111111111111111111111-1-11111111111111111-1-111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-11111-1111-1-1-1-1-1-111-111
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
χ91111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-11-11-1-11111-1-1-1-1-1-1-1-111-1-11111111-1-11-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1111
χ101111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-11-11111-1-11111-1-1-1-111111111-11-1-1-1-1-1-1-1-1-1-111-11-1-111-1-11111-11-1
χ111111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-11111111-1-1-1-111-1-111-1-111-1-11-1-11-11-1-11111-1-11-111-1-1-1-111111-1-1
χ121111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-11-1-1-11-1-111-1-111-1-1111111-1-1-1-1-1-11
χ131111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1111-1111-111-1-111-1-1-1-1111111-1-111-1-1-1
χ141111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-111-11-1-1-1-1-1-1-111-1-111-1-11111-1-111-111-11-111-1-1-1-1111-111-1-1-1-111-1-11-11
χ151111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-111-11-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-11-11111111111-1-1-11-1-111-1-111-1-1-111
χ161111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-11-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-111-1111111-1-11111-1-1-1-111-1-11111-1
χ17222222-12-122-122-122-12-122-122-1-1-1-12-122-12-1-1-122-1-1-1-1-1-1-1-1-10222022-1-100-1-12200000000-1-10022-1-120-1-100-1-1-1-12000-1-1000000-100
χ18222222-12-122-122-122-12-122-122-1-1-1-12-122-12-1-1-122-1-1-1-1-1-1-1-1-102-2-2022-1-10011-2-200000000-1-100-2-2-1120-1-1001111-200011000000100
χ19222222-12-122-122-122-12-122-122-1-1-1-12-1-2-2-12-1-1-122-1-1-1-1-1-1-1-1-10-2220-2-21100-1-1-2-2000000001100221-1-201100-1-1-1-1-200011000000100
χ20222222-12-122-122-122-12-122-122-1-1-1-12-1-2-2-12-1-1-122-1-1-1-1-1-1-1-1-10-2-2-20-2-211001122000000001100-2-211-20110011112000-1-1000000-100
χ21222222-12-122-122-12-2-12-1-2-2-122-1-1-1-12-122-1-2111-2-211-1-1-111110-22-2022-1-10011-2-200000000-1-1002-21-1-201100-1-111200011000000-100
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χ2522222-12-12222-1-12222-1-1222-1-1-1-122-1-122-1-1222-1-1-1-1-1-1-1-1-1-1-122002-1-122-1-100002200002-1-1-1-1-10020-12-1-1-1-1000002-1-1000000000-10
χ2622222-12-12222-1-12222-1-1222-1-1-1-122-1-122-1-1222-1-1-1-1-1-1-1-1-1-1-1-2200-2-1-122110000-2-20000-21-1-1110020-1-2-1-11100000-21100000000010
χ2722222-12-12222-1-12222-1-1222-1-1-1-122-1-1-2-2-1-1222-1-1-1-1-1-1-1-1-1-1-12-200211-2-2-1-10000-2-200002-111-1-100-201211-1-100000-21100000000010
χ2822222-12-12222-1-12222-1-1222-1-1-1-122-1-1-2-2-1-1222-1-1-1-1-1-1-1-1-1-1-1-2-200-211-2-2110000220000-21111100-201-21111000002-1-1000000000-10
χ2922222-12-12222-1-122-22-1-1-2-22-1-1-1-122-1-122-11-2-2-21111-1-1-111112-200-2-1-122110000-2-200002-1-1-1-1-100-201-2111100000211000000000-10
χ3022222-12-12222-1-122-22-1-1-2-22-1-1-1-122-1-122-11-2-2-21111-1-1-11111-2-2002-1-122-1-10000220000-21-1-11100-201211-1-100000-2-1-100000000010
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χ332222-12222-1-12222-12-1-12-1-1-1-1-122-1-1-1200-122-1-1-1-122-1-1-1-1-1-1-1202220000222200002222-1200-1-1-1-1020-100-1-1-1-1-1-1000000-1-1-1-100000
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χ362222-12222-1-12222-12-1-12-1-1-1-1-122-1-1-1200-122-1-1-1-122-1-1-1-1-1-1-1-20-2-2-20000-2-2-2-2000022221-20011110-20100111111000000-1-1-1-100000
χ372222-12222-1-12222-1-2-1-1211-1-1-122-1-1-1200-1-2-21111-2-2-1-1-11111202-2-20000-2-2-2-2000022-2-2-1200-1-1-1102010011-1-111000000-1-11100000
χ382222-12222-1-12222-1-2-1-1211-1-1-122-1-1-1200-1-2-21111-2-2-1-1-1111120-22-20000-2-2220000-2-222-1200-1-11-10-201001111-1-100000011-1-100000
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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).