Finite Group Databasebeta

← Group #13168663

Character table — Group #13168663

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order12223336666666663334666666666444436661212121212121212121212121224441212121212121212121212124444666612121212121212121212121212122444121212121212444461212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-111-1-1-1-111111-1-11111111-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-11
χ31111111111111111111111111111111-1-111111111111111111-11111111-1-11111-1-1-1-111-1-1-1-1111111-1-11111111-1-1-1-1-111-1-1-1-1-1-11-1-1
χ41111111111111111111111111111111-1-111111111111111111-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1111-1-111-1-1-1-1-1-1-1111-1-1-1-11111-11-1
χ511111111111111111111111111111-1-111111111111111111111-111-1-1-1-11111111111-1-11111-111-1-1-111-1-11111-1-1-1111-1-1-1-1-1-1-1-1-11-1
χ611111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11-1-1-1-1-111-1-111111-1-1
χ711111111111111111111111111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-111-1-1-1-1-1111111-1-11
χ811111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111
χ91111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-11111-1-1-1-1-1-1-11-1-1-1-1111111-1-111-1-111-1-11111-1-11-1-1
χ101111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111-1-111-1-1-1-1-1-11-1-1-11111-1-111-11-11-1-11111-1-111-11-1
χ111111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-11111-1-11-111-1-1-1-1-1-1-1-111111
χ121111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-111-1-111111111-1-11-1-1-1-1-111-1-111-1-11-11111-1-111-1-1-1-11
χ131111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1111111-1-1-1-111-111111-1-111-1-1-1-11-11111-1-1-1-111-1-11
χ141111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1111111-1-1-1-1111-111-1-1-1-1-1-111-1-1111
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1111-1-1-1-111-1-1-11-11-1-1111111-1-1-11-1
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-111-1-111-1-111111-11111-1-1-1-1-1-11111-1-111-1-111-1-1111-1-1
χ17222222-12-122-122-12-1-122-1-12-12-12-1-12200-1-1-1-12-1222-1-1-1-1-1-1-1-1022222-1-10022-1-100002200002-12-1-1-100-1-1-1-1-1-1200000-1-1000000-100
χ18222222-12-122-122-12-1-122-1-12-12-12-1-12200-1-1-1-12-1222-1-1-1-1-1-1-1-102-2-222-1-100-2-2110000-2-2000021-2-1-1-100-1-11111-20000011000000100
χ19222222-12-122-122-12-1-122-1-12-12-12-1-1-2-200-1-1-1-12-1222-1-1-1-1-1-1-1-10-222-2-2110022-1-10000-2-20000-2-121110011-1-1-1-1-20000011000000100
χ20222222-12-122-122-12-1-122-1-12-12-12-1-1-2-200-1-1-1-12-1222-1-1-1-1-1-1-1-10-2-2-2-2-21100-2-2110000220000-21-211100111111200000-1-1000000-100
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χ24222222-12-122-122-12-1-12-2-1-12-12-12-1-1-2-200-1-1-1-1-21-2-2-21111111102-22-2-21100-2-2-1-10000-2-20000212-1-1-1001111-1-120000011000000-100
χ2522222-12222-12-1-1222-1-122-1-1-1-12-12-10022-1-1-1-122-1-1-1-1-122-1-1-1-12022000022-1-122-1-122002-1-1-102-1000-1-100-1-1-1-10002-1-1000000000-10
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χ2722222-12222-12-1-1222-1-122-1-1-1-12-12-100-2-2-1-1-1-122-1-1-1-1-122-1-1-1-1-20220000-2-2-1-12211-2-200-211102-10001100-1-1-1-1000-21100000000010
χ2822222-12222-12-1-1222-1-122-1-1-1-12-12-100-2-2-1-1-1-122-1-1-1-1-122-1-1-1-1-20-2-20000-2-211-2-2112200-21110-21000110011110002-1-1000000000-10
χ2922222-12222-12-1-1222-1-1-22-1-1-1-12-12-10022-1-1-1-1-2-211111-2-21111-202-2000022-1-1-2-2-1-12200-2111021000-1-100-1-111000-2-1-100000000010
χ3022222-12222-12-1-1222-1-1-22-1-1-1-12-12-10022-1-1-1-1-2-211111-2-21111-20-220000221122-1-1-2-200-21110-2-1000-1-10011-1-1000211000000000-10
χ3122222-12222-12-1-1222-1-1-22-1-1-1-12-12-100-2-2-1-1-1-1-2-211111-2-21111202-20000-2-2-1-1-2-211-2-2002-1-1-10210001100-1-111000211000000000-10
χ3222222-12222-12-1-1222-1-1-22-1-1-1-12-12-100-2-2-1-1-1-1-2-211111-2-2111120-220000-2-211221122002-1-1-10-2-1000110011-1-1000-2-1-100000000010
χ332222-122-12-122222-1-12-12-12-12-1-1-1-122222-1-1-1-1-122-1-122-1-1-1-1-1-12200-1-122-1-10000220000-12-1-1-1002-1-1-1-1-1-1000002200000-1-1000000-1
χ342222-122-12-122222-1-12-12-12-12-1-1-1-1222-2-2-1-1-1-1-122-1-122-1-1-1-1-1-1-2200-1-122110000-2-200001-211-1002-1-111-1-100000-2-200000110000001
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χ362222-122-12-122222-1-12-12-12-12-1-1-1-12-2-2-2-2-1-1-1-1-122-1-122-1-1-1-1-1-1-2-20011-2-2110000-2-200001-211100-2111111000002200000-1-1000000-1
χ372222-122-12-122222-1-12-1-2-12-12-1-1-1-122222-1-1-1-11-2-211-2-2111111-2-200-1-122-1-100002200001-211100-211-1-1-1-1000002-200000-1-10000001
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χ392222-122-12-122222-1-12-1-2-12-12-1-1-1-12-2-222-1-1-1-11-2-211-2-2111111-220011-2-2-1-100002200001-211-1002-1-1-1-11100000-220000011000000-1
χ402222-122-12-122222-1-12-1-2-12-12-1-1-1-12-2-2-2-2-1-1-1-11-2-211-2-2111111220011-2-2110000-2-20000-12-1-1-1002-1-11111000002-200000-1-10000001
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χ452-2-22222-2-2-222-2-2-2222202-22-2-2-2-2-22002i−2i2-22-20000000000000000000002i−2i00002i−2i002i−2i00000000002i−2i0000000000002i−2i00002-2000
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χ1028-8-888-4-4-84-8-4-44448-42-40-4-2-4-24444200002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-48-44448-4-8-84-42-4-4024-444-24-2-400002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4444-4-4444-422202-22-2-2-2-2-220000-11-110006i−6i0000−3i3i3i−3i0000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4444-4-4444-422202-22-2-2-2-2-220000-11-11000−6i6i00003i−3i−3i3i0000000000000000000000000000000000000000000000000000000

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