Finite Group Databasebeta

← Group #13169182

Character table — Group #13169182

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order12223336666666663334666666666444436661212121212121212121212121224441212121212121212121212122244666612121212121212121212121212122444666612122244121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-111111-11-1-1-111-1-1-1-1-1-11-1-1
χ31111111111111111111111111111111-1-1111111111111111111-111111111-1-1-1-111-1-111111111-1-1111111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-11-1
χ41111111111111111111111111111111-1-1111111111111111111-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-11
χ511111111111111111111111111111-1-11111111111111111111-111111-1-1-1-111111111-1-1-1-1-1-11111-1-111111111-11-1-111-1-1-1-1-1-1-1-1-1-11
χ611111111111111111111111111111-1-11111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-11-1-1-1-1111111-11-1
χ711111111111111111111111111111-1-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-11-1-1-111-1-111111-1-1
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
χ91111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111111111111-1-1-1-1-1-1-11-1-11111-1-111-1-11-1-111111-1-1-1-111-11-1
χ101111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-111-1-1-1-11-1-1-111-1-11111-1-111-1-1-1-1111111-1-1-1-11
χ111111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1111-1-1-1-1-1-111-1-1111
χ121111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111-1-1-1-1-1-11111-1-1-1-11-11111-1-111-1-111-1-11-111-1-111-1-1111-1-1
χ131111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-111111111111111-11-1-1-1-111-1-111-1-1-1-11-111-1-11111-1-11-1-1
χ141111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1111-1-1-1-1-1-1-1-111111
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-11
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-1-1-111-1-1111-1-111111-1-111-1-1-11-1
χ17222222-12-1222-1-1222-1-122-1-1-1-12-12-12222-1-1-1-1-122-1-1-1-122-1-1-1-122000022-1-1-1-1220000002-1-1-100-12-1-10000-1-1-1-1202000-1-1000000-100
χ18222222-12-1222-1-1222-1-122-1-1-1-12-12-122-2-2-1-1-1-1-122-1-1-1-122-1-1-1-12-2000022-1-111-2-20000002-1-1-1001-2-1-100001111-20-200011000000100
χ19222222-12-1222-1-1222-1-122-1-1-1-12-12-1-2-222-1-1-1-1-122-1-1-1-122-1-1-1-1-220000-2-211-1-122000000-211100-12110000-1-1-1-1-20-200011000000100
χ20222222-12-1222-1-1222-1-122-1-1-1-12-12-1-2-2-2-2-1-1-1-1-122-1-1-1-122-1-1-1-1-2-20000-2-21111-2-2000000-2111001-21100001111202000-1-1000000-100
χ21222222-12-1222-1-1222-1-1-22-1-1-1-12-12-12222-1-1-1-11-2-21111-2-21111-2-2000022-1-1-1-122000000-2111001-2-1-10000-1-11120-2000-1-1000000100
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χ23222222-12-1222-1-1222-1-1-22-1-1-1-12-12-1-2-222-1-1-1-11-2-21111-2-211112-20000-2-211-1-1220000002-1-1-1001-2110000-1-111-20200011000000-100
χ24222222-12-1222-1-1222-1-1-22-1-1-1-12-12-1-2-2-2-2-1-1-1-11-2-21111-2-21111220000-2-21111-2-20000002-1-1-100-1211000011-1-120-2000-1-1000000100
χ2522222-12-122-12222-1-1-122-1-12-12-12-1-10022-1-1-1-122-122-1-1-1-1-1-1-1-1022222000022-1-1-1-122000000-122-100-1-1-1-1-1-1-1-10200-1-10000000000-1
χ2622222-12-122-12222-1-1-122-1-12-12-12-1-10022-1-1-1-122-122-1-1-1-1-1-1-1-102-2-2-2-2000022-1-111-2-20000001-22-1001111-1-1-1-10-2001100000000001
χ2722222-12-122-12222-1-1-122-1-12-12-12-1-100-2-2-1-1-1-122-122-1-1-1-1-1-1-1-10-222220000-2-211-1-1-2-2000000-12-2100-1-1-1-111110-2001100000000001
χ2822222-12-122-12222-1-1-122-1-12-12-12-1-100-2-2-1-1-1-122-122-1-1-1-1-1-1-1-10-2-2-2-2-20000-2-21111220000001-2-2100111111110200-1-10000000000-1
χ2922222-12-122-12222-1-1-12-2-1-12-12-12-1-10022-1-1-1-1-2-21-2-2111111110-22-2-2-2000022-1-1-1-12200000012-2100-1-111-1-1110-200-1-100000000001
χ3022222-12-122-12222-1-1-12-2-1-12-12-12-1-10022-1-1-1-1-2-21-2-2111111110-2-2222000022-1-111-2-2000000-1-2-210011-1-1-1-1110200110000000000-1
χ3122222-12-122-12222-1-1-12-2-1-12-12-12-1-100-2-2-1-1-1-1-2-21-2-211111111022-2-2-20000-2-211-1-1-2-2000000122-100-1-11111-1-10200110000000000-1
χ3222222-12-122-12222-1-1-12-2-1-12-12-12-1-100-2-2-1-1-1-1-2-21-2-21111111102-22220000-2-2111122000000-1-22-10011-1-111-1-10-200-1-100000000001
χ332222-12222-12-122-12-12-12-12-12-1-1-1-122200-1-1-1-12-12-1-122-1-1-1-1-1-12022-1-1-1-1220000220022-12-1-12-100-1-1-1-1-1-1000000020000-1-100000-10
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χ362222-12222-12-122-12-12-12-12-12-1-1-1-12-2-200-1-1-1-12-12-1-122-1-1-1-1-1-1-20-2-21111-2-20000-2-200221-211-2100111111000000020000-1-100000-10
χ372222-12222-12-122-12-12-1-2-12-12-1-1-1-122200-1-1-1-1-21-211-2-2111111-202-211-1-12200002200-2-21-211-2-100-1-1-1-1110000000200001100000-10
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χ392222-12222-12-122-12-12-1-2-12-12-1-1-1-12-2-200-1-1-1-1-21-211-2-2111111202-21111-2-20000220022-12-1-1-2-10011-1-1110000000-20000-1-10000010
χ402222-12222-12-122-12-12-1-2-12-12-1-1-1-12-2-200-1-1-1-1-21-211-2-211111120-22-1-111-2-20000-2-200-2-2-12-1-121001111-1-10000000200001100000-10
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χ1018-88-8-4-4-4-44444-44-442220222-2-2-2-2-2-20000-1-111000−6i6i00003i−3i3i−3i0000000000000000000000000000000000000000000000000000000
χ1028-8-88-48-4-8-4-484444-8-4-42044-2-424-2-4400002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-4848-4-44-8-8442-4-40-244-4-4-242400002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-44-4-4-4444442220-2-2-222-2-22-20000-111-1000006-600-333-30000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-44-4-4-4444442220-2-2-222-2-22-20000-111-100000-66003-3-330000000000000000000000000000000000000000000000000000000

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