Finite Group Databasebeta

← Group #13169440

Character table — Group #13169440

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444466888888888888888812121212121212121212121212181818181818181824242424242424242424242424242424242424243636363636363636363654547272108
order1222333666666666333466666666612124436661212121212121212121212124444412121212121212124444444412121212121212121212121212121212121212124412121212121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-11111111-1-1-1-1-1-111-1-1111-111-1-111111111-1-1-1-11-1-1-111-1-1-1-1-1-11-1-1
χ31111111111111111111111111111111111111111111111111-1-11111111-1-111-1-1-1-1-1-11111-11-1-1111111-1-1-1-11111-11-1-1-1-111-1-1-1-1-11-1
χ41111111111111111111111111111111111111111111111111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11
χ51111111111111111111111111111111-1-111111111111111111111-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1
χ61111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11-111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-111-1-111-111
χ71111111111111111111111111111111-1-11111111111111111-1-111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-11-1-111-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1111-11
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
χ91111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111111111-1-11111-1-1-1-11-11-111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-11
χ101111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1111111-1-1-1-11111-1-1-1-1-111-1-1111-1-111-1-1-1-111-111111-1-1-1-111-11-1
χ111111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-111-1-11-1-111-111-1-1-1-11111-1-11-111-1-111-1-1111-1-1
χ121111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-111-1-1-1-1-1-1-1-111-11-1111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1111
χ131111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-1-1-1111111-1-1-1-1-1-111-1-11-11-1-1-11111-1-111-1-111-1-1-1-1-1-1111111-1
χ141111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-111-1-11111-111-1-11-1-11111-1-1-1-1111-111-1-111-1-1-1-11-11
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-111-1-11111-1-1111-1-111-1-1-111-1-11111-1-1-111111-1-1-1-1-1-1-111
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-111-1-111111111-11-11-1-111-1-111-1-111-1-1-1-111111111-1-1-1
χ17222222-122-122-12-122-1-122-1-12-1-1-12-12222-1-1-1-12-122-1-1-1-1-1-1-1-10022222-1-100-1-1000000222-10-10022-1-1-1-10000-1-1-1-1020000-1-100000-10
χ18222222-122-122-12-122-1-122-1-12-1-1-12-12222-1-1-1-12-122-1-1-1-1-1-1-1-100-2-2222-1-10011000000-2-22-10100-2-2-1-1-1-1000011110-20000110000010
χ19222222-122-122-12-122-1-122-1-12-1-1-12-122-2-2-1-1-1-12-122-1-1-1-1-1-1-1-10022-2-2-21100-1-1000000-2-2-210-1002211110000-1-1-1-10-20000110000010
χ20222222-122-122-12-122-1-122-1-12-1-1-12-122-2-2-1-1-1-12-122-1-1-1-1-1-1-1-100-2-2-2-2-211001100000022-210100-2-2111100001111020000-1-100000-10
χ21222222-122-122-12-122-1-1-22-1-12-1-1-12-1-2-222-1-1-1-1-21-2-211111111002-2-222-1-100-1-100000022-2101002-2-1-1110000-1-1110-20000-1-10000010
χ22222222-122-122-12-122-1-1-22-1-12-1-1-12-1-2-222-1-1-1-1-21-2-21111111100-22-222-1-10011000000-2-2-210-100-22-1-111000011-1-10200001100000-10
χ23222222-122-122-12-122-1-1-22-1-12-1-1-12-1-2-2-2-2-1-1-1-1-21-2-211111111002-22-2-21100-1-1000000-2-22-101002-211-1-10000-1-1110200001100000-10
χ24222222-122-122-12-122-1-1-22-1-12-1-1-12-1-2-2-2-2-1-1-1-1-21-2-21111111100-222-2-2110011000000222-10-100-2211-1-1000011-1-10-20000-1-10000010
χ2522222-122-122-12-122-12-12-12-1-12-1-1-122222-1-1-1-1-12-1-122-1-1-1-1-1-122002-1-122-1-10000002200-12-102200-1-1-1-1-1-1-1-100002000-1-1000000-100
χ2622222-122-122-12-122-12-12-12-1-12-1-1-122222-1-1-1-1-12-1-122-1-1-1-1-1-1-2-2002-1-12211000000-2-200-1210-2-200-1-1-1-111110000-200011000000100
χ2722222-122-122-12-122-12-12-12-1-12-1-1-1222-2-2-1-1-1-1-12-1-122-1-1-1-1-1-12200-211-2-2-1-1000000-2-2001-2-1022001111-1-1-1-10000-200011000000100
χ2822222-122-122-12-122-12-12-12-1-12-1-1-1222-2-2-1-1-1-1-12-1-122-1-1-1-1-1-1-2-200-211-2-21100000022001-210-2-2001111111100002000-1-1000000-100
χ2922222-122-122-12-122-12-1-2-12-1-12-1-1-12-2-222-1-1-1-11-211-2-21111112-200-2-1-122-1-100000022001-2102-200-1-111-1-1110000-2000-1-1000000100
χ3022222-122-122-12-122-12-1-2-12-1-12-1-1-12-2-222-1-1-1-11-211-2-2111111-2200-2-1-12211000000-2-2001-2-10-2200-1-11111-1-10000200011000000-100
χ3122222-122-122-12-122-12-1-2-12-1-12-1-1-12-2-2-2-2-1-1-1-11-211-2-21111112-200211-2-2-1-1000000-2-200-12102-20011-1-1-1-1110000200011000000-100
χ3222222-122-122-12-122-12-1-2-12-1-12-1-1-12-2-2-2-2-1-1-1-11-211-2-2111111-2200211-2-2110000002200-12-10-220011-1-111-1-10000-2000-1-1000000100
χ332222-122-122-12222-1-1-122-1-12-1-122-1-1-1-100-1-1-1-122-1-1-1-122-1-1-1-12222000002222222200000022-1-1-1-10000-1-1-1-1-1-1-1-100-1-10000-1-100000
χ342222-122-122-12222-1-1-122-1-12-1-122-1-1-1-100-1-1-1-122-1-1-1-122-1-1-1-122-2-20000022-2-2-2-2-2-20000002-2-1-1110000-1-1-1-11111001100001100000
χ352222-122-122-12222-1-1-122-1-12-1-122-1-1-1-100-1-1-1-122-1-1-1-122-1-1-1-1-2-22200000-2-222-2-2-2-2000000-2211-1-100001111-1-1-1-1001100001100000
χ362222-122-122-12222-1-1-122-1-12-1-122-1-1-1-100-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-200000-2-2-2-22222000000-2-2111100001111111100-1-10000-1-100000
χ372222-122-122-12222-1-1-12-2-1-12-1-122-1-11100-1-1-1-1-2-21111-2-211112-22-200000222222-2-2000000-2-2-11-110000-1-111-1-11100110000-1-100000
χ382222-122-122-12222-1-1-12-2-1-12-1-122-1-11100-1-1-1-1-2-21111-2-211112-2-220000022-2-2-2-222000000-22-111-10000-1-11111-1-100-1-100001100000
χ392222-122-122-12222-1-1-12-2-1-12-1-122-1-11100-1-1-1-1-2-21111-2-21111-222-200000-2-222-2-2220000002-21-1-11000011-1-1-1-11100-1-100001100000
χ402222-122-122-12222-1-1-12-2-1-12-1-122-1-11100-1-1-1-1-2-21111-2-21111-22-2200000-2-2-2-222-2-2000000221-11-1000011-1-111-1-100110000-1-100000
χ4122-2-2222-2222-2-2-2-2-2222022-2-2-22-2-2-2002-222-2-2000000000000000002-22-20000002-20000000000002-20000000000002-20000002-2000
χ4222-2-2222-2222-2-2-2-2-2222022-2-2-22-2-2-2002-222-2-2000000000000000002-22-2000000-220000000000002-2000000000000-22000000-22000
χ4322-2-2222-2222-2-2-2-2-2222022-2-2-22-2-2-200-2222-2-200000000000000000-22-220000002-2000000000000-220000000000002-2000000-22000
χ4422-2-2222-2222-2-2-2-2-2222022-2-2-22-2-2-200-2222-2-200000000000000000-22-22000000-22000000000000-22000000000000-220000002-2000
χ452-22-2222-2-2-2-2-2-22222220-2-22-2-2-2-22200002-22-200000000000000000000000002-2002i−2i2i−2i0000000000000000000000002i−2i2i−2i2-200000
χ462-22-2222-2-2-2-2-2-22222220-2-22-2-2-2-22200002-22-200000000000000000000000002-200−2i2i−2i2i000000000000000000000000−2i2i−2i2i2-200000
χ472-22-2222-2-2-2-2-2-22222220-2-22-2-2-2-22200002-22-20000000000000000000000000-22002i−2i−2i2i0000000000000000000000002i−2i−2i2i-2200000
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χ1038-8-888-4-4844-8-4-444-8-4-42044-2-4-4-224400002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4-4444-4-44442220-2-2-222-22-2-2−4i34i300-111-1002i3−2i32i3−2i300−i3i3−i3i300000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4-4444-4-44442220-2-2-222-22-2-24i3−4i300-111-100−2i32i3−2i32i300i3−i3i3−i300000000000000000000000000000000000000000000000000000000

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