Finite Group Databasebeta

← Group #13172238

Character table — Group #13172238

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444466888888888888888812121212121212121212121212181818181818181824242424242424242424242424242424242424243636363636363636363654547272108
order1222333666666666233366666666666443666666666666666244441212121212121212444444446666121212121212121212121212121212124412121212121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-11-111-1-1111111-1-1-1-1-1-111111-11-11-1111111-1-1-1-11-111-1-1-1-1-1-1-1-11-1-1
χ311111111111111111111111111111111111111111111111111-11-11-1-1111111-1-111-1-1-1-11111-11-11-1111-1-1-1-11111-11-1-111-1-1-1-1-1-1-11-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111111111111-1-11111111111111111-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1
χ61111111111111111111111111111111-1-11111111111111111-11-11-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-11-11-1-1-11111-1-1-1-1-11-1-111-1-1-1-111-111
χ71111111111111111111111111111111-1-11111111111111111-1-11-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-11-11-1-1-1-1-1-111111-111-1-1-1-1-1-1111-11
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
χ91111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1-1-111-1-1-1-1111
χ101111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11-1-11-1-1111111-1-111-1-111-1-1-1-11-11-1-111111-1-1-1-1111-1-1-111-1-111111-1-1
χ111111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-111-1-1111111-1-1-1-111-1-1-1-1-11-111-111-1-11111-1-1-1111-1-1-1-11111-11-1
χ121111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1111111-1-1-1-1-1-11
χ131111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-111-1-111-1-1-1-1111111-1-111-1-1-1
χ141111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-111-1-11-1-111-1-1-1-111-1-1-1-11111111-11-1-11-1-111-1-1-1-111-1111-1-1-1-111-1-1-111
χ151111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-11-111-111-1-1-1-1-1-1-1-111-1-1111111-11-111-1-1-1-1-11111-1-11-1-1-111-1-111-1-11-11
χ161111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-11-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1
χ17222222-122-122-12-1222-1-1222-1-1-122-1-1-122-12-122-1-1-1-1-1-1-1-1-1-1-12020200-1-122-1-1002200002-1-1-1020-102-1-10000-1-1-1-10200-1-10000000-10
χ18222222-122-122-12-1222-1-1222-1-1-122-1-1-122-12-122-1-1-1-1-1-1-1-1-1-1-120-20-2001122-1-100-2-200002-1-1-10-2010-2-1-1000011110-20011000000010
χ19222222-122-122-12-1222-1-1222-1-1-122-1-1-1-2-2-12-122-1-1-1-1-1-1-1-1-1-1-1-2020200-1-1-2-21100-2-20000-2111020-102110000-1-1-1-10-20011000000010
χ20222222-122-122-12-1222-1-1222-1-1-122-1-1-1-2-2-12-122-1-1-1-1-1-1-1-1-1-1-1-20-20-20011-2-21100220000-21110-2010-211000011110200-1-10000000-10
χ21222222-122-122-12-12-22-1-1-2-22-1-1-122-1-1-122-1-21-2-21111-1-1-11111-2020-2001122-1-100-2-20000-2111020-10-2-1-10000-1-1110200110000000-10
χ22222222-122-122-12-12-22-1-1-2-22-1-1-122-1-1-122-1-21-2-21111-1-1-11111-20-20200-1-122-1-100220000-21110-20102-1-1000011-1-10-200-1-1000000010
χ23222222-122-122-12-12-22-1-1-2-22-1-1-122-1-1-1-2-2-1-21-2-21111-1-1-111112020-20011-2-211002200002-1-1-1020-10-2110000-1-1110-200-1-1000000010
χ24222222-122-122-12-12-22-1-1-2-22-1-1-122-1-1-1-2-2-1-21-2-21111-1-1-1111120-20200-1-1-2-21100-2-200002-1-1-10-2010211000011-1-10200110000000-10
χ2522222-122-122-12-1222-12-122-12-1-1-1-122-122-1-12-1-122-1-1-1-1-1-1-1-1-122020-1-100-1-12222000000-12-1-120-1020-1-1-1-1-1-1000020-1-100000000-100
χ2622222-122-122-12-1222-12-122-12-1-1-1-122-122-1-12-1-122-1-1-1-1-1-1-1-1-12-20-201100-1-122-2-2000000-12-1-1-2010-20-1-111110000-201100000000100
χ2722222-122-122-12-1222-12-122-12-1-1-1-122-1-2-2-1-12-1-122-1-1-1-1-1-1-1-1-1-22020-1-10011-2-2-2-20000001-21120-102011-1-1-1-10000-201100000000100
χ2822222-122-122-12-1222-12-122-12-1-1-1-122-1-2-2-1-12-1-122-1-1-1-1-1-1-1-1-1-2-20-20110011-2-2220000001-211-2010-20111111000020-1-100000000-100
χ2922222-122-122-12-122-2-12-1-2-2-12-1-1-1-122-122-11-211-2-211-1-1-11111-220-201100-1-122-2-20000001-21120-10-20-1-1-1-1110000201100000000-100
χ3022222-122-122-12-122-2-12-1-2-2-12-1-1-1-122-122-11-211-2-211-1-1-11111-2-2020-1-100-1-122220000001-211-201020-1-111-1-10000-20-1-100000000100
χ3122222-122-122-12-122-2-12-1-2-2-12-1-1-1-122-1-2-2-11-211-2-211-1-1-11111220-20110011-2-222000000-12-1-120-10-2011-1-1110000-20-1-100000000100
χ3222222-122-122-12-122-2-12-1-2-2-12-1-1-1-122-1-2-2-11-211-2-211-1-1-111112-2020-1-10011-2-2-2-2000000-12-1-1-2010201111-1-10000201100000000-100
χ332222-122-122-12222-12-1-12-1-1-1-122-1-1-1-1200-122-1-1-1-122-1-1-1-1-1-1-10222222220000000022220000-1-122-1-100-1-1-1-1-1-1-1-1000000-1-1-1-100000
χ342222-122-122-12222-12-1-12-1-1-1-122-1-1-1-1200-122-1-1-1-122-1-1-1-1-1-1-102-22-222-2-200000000-2-2-2-20000-112-2-1100-1-1-1-11111000000111100000
χ352222-122-122-12222-12-1-12-1-1-1-122-1-1-1-1200-122-1-1-1-122-1-1-1-1-1-1-10-22-22-2-22200000000-2-2-2-200001-1-221-1001111-1-1-1-1000000111100000
χ362222-122-122-12222-12-1-12-1-1-1-122-1-1-1-1200-122-1-1-1-122-1-1-1-1-1-1-10-2-2-2-2-2-2-2-2000000002222000011-2-2110011111111000000-1-1-1-100000
χ372222-122-122-12222-1-2-1-1211-1-122-1-1-1-1200-1-2-21111-2-2-1-1-11111022-2-2-2-2-2-20000000022-2-20000-1-1221100-1-111-1-111000000-1-11100000
χ382222-122-122-12222-1-2-1-1211-1-122-1-1-1-1200-1-2-21111-2-2-1-1-1111102-2-22-2-22200000000-2-2220000-112-21-100-1-11111-1-100000011-1-100000
χ392222-122-122-12222-1-2-1-1211-1-122-1-1-1-1200-1-2-21111-2-2-1-1-111110-222-222-2-200000000-2-22200001-1-22-110011-1-1-1-11100000011-1-100000
χ402222-122-122-12222-1-2-1-1211-1-122-1-1-1-1200-1-2-21111-2-2-1-1-111110-2-22222220000000022-2-2000011-2-2-1-10011-1-111-1-1000000-1-11100000
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χ4222-2-2222-2-2-22-2-222-2022200-2-2-2-22-22-222-22000000002-2-200000000000002-22-2000000−2i2i00000000002-20000000000000000−2i2i−2i2i000
χ4322-2-2222-2-2-22-2-222-2022200-2-2-2-22-22-22-222000000002-2-20000000000000-22-220000002i−2i0000000000-2200000000000000002i−2i−2i2i000
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χ1048-8-88-4-4-44-4-444444-4022200-2-22-2-22-22-200-1000000001-11−3i33i33i3−3i300000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-44-4-444444-4022200-2-22-2-22-22-200-1000000001-113i3−3i3−3i33i300000000000000000000000000000000000000000000000000000000

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