Finite Group Databasebeta

← Group #13168287

Character table — Group #13168287

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444466888888888888888812121212121212121212121212181818181818181824242424242424242424242424242424242424243636363636363636363654547272108
order1222333666666666333466666666612122236661212121212121212121212124444466661212121244444444661212121212121212121212121212121212124412121212121212122212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-11111111-1-1-1-111-1-1-1-1111111-1-11-1111111-1-1-1-11-1-1-1-1-111-1-1-1-11-1-1
χ31111111111111111111111111111111111111111111111111-1-11111111-1-111-1-1-1-111-1-11111-1-111-1111-1-1-1-11111-11-1-1-1-1-1-111-1-1-11-1
χ41111111111111111111111111111111111111111111111111-1-1-1-111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11
χ51111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-111111111-1-11111-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-11-1-1-11111-1-1-1-1-11-1-1-1-1-1-11111-111
χ71111111111111111111111111111111-1-11111111111111111-1-111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-111111-1-1-1-1-111-1-1111-11
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
χ91111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111111111-1-111111111-1-11-11-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-11
χ101111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1111111-1-11111-1-1-1-111-1-11-1-11-11-1-111-1-1-1-111-11-1-11111-1-111-11-1
χ111111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-111-1-111-1-1-111-11-1-1-1-1-11111-1-11-1-1-111-1-111111-1-1
χ121111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-1-1-11111-1-1-11-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111
χ131111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-1-1-11111-1-1-1-1-1-111-1-1111-11-1-1-11111-1-111-1-11111-1-1-1-1-1-11111-1
χ141111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-111-1-111-1-1-1-1111-1-11-111111-1-1-1-1111-1-1-111-1-111-1-11-11
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1111111-1-1-1-1-1-111-111-11-111-1-11111-1-1-11-1-11111-1-1-1-1-111
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1111111-1-111-11-111111-1-111-1-111-1-111-1-1111111-1-1-1
χ17222222-12-1222-122-12-1-1222-1-1-1-1-12-12222-1-1-1-12-1-1-122-1-1-1-1-1-10022222-1-100-1-100002200-1-12-100220-1-1-10000-1-1-1-102000000-1-1000-10
χ18222222-12-1222-122-12-1-1222-1-1-1-1-12-12222-1-1-1-12-1-1-122-1-1-1-1-1-100-2-2222-1-100110000-2-200-1-12-100-2-201-1-1000011110-20000001100010
χ19222222-12-1222-122-12-1-1222-1-1-1-1-12-122-2-2-1-1-1-12-1-1-122-1-1-1-1-1-10022-2-2-21100-1-10000-2-20011-2100220-1110000-1-1-1-10-20000001100010
χ20222222-12-1222-122-12-1-1222-1-1-1-1-12-122-2-2-1-1-1-12-1-1-122-1-1-1-1-1-100-2-2-2-2-21100110000220011-2100-2-201110000111102000000-1-1000-10
χ21222222-12-1222-122-12-1-1-222-1-1-1-1-12-1-2-222-1-1-1-1-2111-2-2111111002-2-222-1-100-1-100002200-1-1-21002-201110000-1-1110-2000000-1-100010
χ22222222-12-1222-122-12-1-1-222-1-1-1-1-12-1-2-222-1-1-1-1-2111-2-211111100-22-222-1-100110000-2-200-1-1-2100-220-111000011-1-10200000011000-10
χ23222222-12-1222-122-12-1-1-222-1-1-1-1-12-1-2-2-2-2-1-1-1-1-2111-2-2111111002-22-2-21100-1-10000-2-200112-1002-201-1-10000-1-1110200000011000-10
χ24222222-12-1222-122-12-1-1-222-1-1-1-1-12-1-2-2-2-2-1-1-1-1-2111-2-211111100-222-2-211001100002200112-100-220-1-1-1000011-1-10-2000000-1-100010
χ2522222-12-1222-122-12-12-12-1-122-1-1-1-122222-1-1-1-1-12-1-1-1-122-1-1-1-122002-1-122-1-10000220000-1-1-122200-10-1-1-1-1-1-10000200000-1-10000-100
χ2622222-12-1222-122-12-12-12-1-122-1-1-1-122222-1-1-1-1-12-1-1-1-122-1-1-1-1-2-2002-1-122110000-2-20000-1-1-12-2-20010-1-111110000-200000110000100
χ2722222-12-1222-122-12-12-12-1-122-1-1-1-1222-2-2-1-1-1-1-12-1-1-1-122-1-1-1-12200-211-2-2-1-10000-2-20000111-22200-1011-1-1-1-10000-200000110000100
χ2822222-12-1222-122-12-12-12-1-122-1-1-1-1222-2-2-1-1-1-1-12-1-1-1-122-1-1-1-1-2-200-211-2-2110000220000111-2-2-200101111110000200000-1-10000-100
χ2922222-12-1222-122-12-12-1-2-1-122-1-1-1-12-2-222-1-1-1-11-21111-2-211112-200-2-1-122-1-10000220000-1-11-22-2001011-1-1110000-200000-1-10000100
χ3022222-12-1222-122-12-12-1-2-1-122-1-1-1-12-2-222-1-1-1-11-21111-2-21111-2200-2-1-122110000-2-20000-1-11-2-2200-101111-1-10000200000110000-100
χ3122222-12-1222-122-12-12-1-2-1-122-1-1-1-12-2-2-2-2-1-1-1-11-21111-2-211112-200211-2-2-1-10000-2-2000011-122-20010-1-1-1-1110000200000110000-100
χ3222222-12-1222-122-12-12-1-2-1-122-1-1-1-12-2-2-2-2-1-1-1-11-21111-2-21111-2200211-2-211000022000011-12-2200-10-1-111-1-10000-200000-1-10000100
χ332222-12222-1-122-122-1-122-1-1-1-1222-1-1-1-100-1-1-1-12222-1-1-1-1-1-1-1-12222000002222220000220000-1-1-1-12200-1-1-1-1-1-1-1-100-1-1-1-1000000000
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χ352222-12222-1-122-122-1-122-1-1-1-1222-1-1-1-100-1-1-1-12222-1-1-1-1-1-1-1-1-2-22200000-2-222-2-20000-2-2000011-1-1-22001111-1-1-1-1001111000000000
χ362222-12222-1-122-122-1-122-1-1-1-1222-1-1-1-100-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-200000-2-2-2-22200002200001111-2-2001111111100-1-1-1-1000000000
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χ382222-12222-1-122-122-1-12-2-1-1-1-1222-1-11100-1-1-1-1-2-2-2-2111111112-2-220000022-2-2220000-2-20000-111-1-2200-1-11111-1-10011-1-1000000000
χ392222-12222-1-122-122-1-12-2-1-1-1-1222-1-11100-1-1-1-1-2-2-2-211111111-222-200000-2-222220000-2-200001-1-112-20011-1-1-1-1110011-1-1000000000
χ402222-12222-1-122-122-1-12-2-1-1-1-1222-1-11100-1-1-1-1-2-2-2-211111111-22-2200000-2-2-2-2-2-200002200001-11-1220011-1-111-1-100-1-111000000000
χ4122-2-2222222-2-2-2-2-2-222202-22-22-2-2-2-2002-222-2-2000000000000000002-22-200002-20000002-200000000000000000000002-200002-2000
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χ1018-8-888-4-444-88-4-4-844-4-4204-44-4-2-224400002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-48-4-844-48-44-84-42-404-4-2244-44-200002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-484-84-4-4844-82-4-40-224-444-4-2400002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4444-4-4-44442220-22-22-2-22-2-20000-11-110000000033−33−333300000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4444-4-4-44442220-22-22-2-22-2-20000-11-1100000000−333333−3300000000000000000000000000000000000000000000000000000000

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