Finite Group Databasebeta

← Group #13169438

Character table — Group #13169438

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444466888888888888888812121212121212121212121212181818181818181824242424242424242424242424242424242424243636363636363636363654547272108
order12223336666666663334666666666121244366612121212121212121212121244444121212121212121244444444121212121212121212121212121212121212121222121212121212121244664
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-11111111-1-1-1-111-1-1-1-11-11111-1-111111111-1-1-1-11-1-1-111-1-1-1-1-1-11-1-1
χ31111111111111111111111111111111111111111111111111-1-11111111-1-111-1-1-1-111-1-1-1111-1-1111111-1-1-1-11111-11-1-1-1-111-1-1-1-1-11-1
χ41111111111111111111111111111111111111111111111111-1-1-1-111111-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11
χ51111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1
χ61111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-111-1-111-111
χ71111111111111111111111111111111-1-11111111111111111-1-111-1-1-1-1-1-1-111-1-111-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1111-11
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
χ91111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111111111111111-1-1-1-1-1-11-11-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-11
χ101111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1111111-1-1-1-111-1-111-11-1-11-1-11-1-11111-1-1-1-111-111111-1-1-1-111-11-1
χ111111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111111-1-1-1-111-1-1-111-1-11111-1-11-111-1-111-1-1111-1-1
χ121111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-111-1-1-1-1-1-111-1-1-11-11-1-111-1-111-1-11111-1-1-1-1-1-111-1-1111
χ131111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-1-1-1111111-1-1-1-1-1-1-1-1111-11-111-1-111-1-111-1-111-1-1-1-1-1-1111111-1
χ141111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-11111-11111-1-1111-1-111-1-1-1-1111-111-1-111-1-1-1-11-11
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-111-1-111-1-1111-111-111-111-1-1-1-11111-1-1-111111-1-1-1-1-1-1-111
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1111111-1-11111-11-1111-1-1-1-111-1-111-1-1-1-111111111-1-1-1
χ17222222-122-12-122-122-1-122-1-12-1-1-12-12222-1-1-1-12-122-1-1-1-1-1-1-1-10022222-1-100-1-1000022000-12-10022-1-1-1-10000-1-1-1-1020000-1-100000-10
χ18222222-122-12-122-122-1-122-1-12-1-1-12-12222-1-1-1-12-122-1-1-1-1-1-1-1-100-2-2222-1-100110000-2-200012-100-2-2-1-1-1-1000011110-20000110000010
χ19222222-122-12-122-122-1-122-1-12-1-1-12-122-2-2-1-1-1-12-122-1-1-1-1-1-1-1-10022-2-2-21100-1-10000-2-2000-1-21002211110000-1-1-1-10-20000110000010
χ20222222-122-12-122-122-1-122-1-12-1-1-12-122-2-2-1-1-1-12-122-1-1-1-1-1-1-1-100-2-2-2-2-21100110000220001-2100-2-2111100001111020000-1-100000-10
χ21222222-122-12-122-122-1-1-22-1-12-1-1-12-1-2-222-1-1-1-1-21-2-211111111002-2-222-1-100-1-10000220001-21002-211-1-10000-1-1110-20000-1-10000010
χ22222222-122-12-122-122-1-1-22-1-12-1-1-12-1-2-222-1-1-1-1-21-2-21111111100-22-222-1-100110000-2-2000-1-2100-2211-1-1000011-1-10200001100000-10
χ23222222-122-12-122-122-1-1-22-1-12-1-1-12-1-2-2-2-2-1-1-1-1-21-2-211111111002-22-2-21100-1-10000-2-200012-1002-2-1-1110000-1-1110200001100000-10
χ24222222-122-12-122-122-1-1-22-1-12-1-1-12-1-2-2-2-2-1-1-1-1-21-2-21111111100-222-2-2110011000022000-12-100-22-1-111000011-1-10-20000-1-10000010
χ2522222-122-12-122-122-12-12-12-1-12-1-1-122222-1-1-1-1-12-1-122-1-1-1-1-1-122002-1-122-1-10000220000-10-122200-1-1-1-1-1-1-1-100002000-1-1000000-100
χ2622222-122-12-122-122-12-12-12-1-12-1-1-122222-1-1-1-1-12-1-122-1-1-1-1-1-1-2-2002-1-122110000-2-2000010-12-2-200-1-1-1-111110000-200011000000100
χ2722222-122-12-122-122-12-12-12-1-12-1-1-1222-2-2-1-1-1-1-12-1-122-1-1-1-1-1-12200-211-2-2-1-10000-2-20000-101-222001111-1-1-1-10000-200011000000100
χ2822222-122-12-122-122-12-12-12-1-12-1-1-1222-2-2-1-1-1-1-12-1-122-1-1-1-1-1-1-2-200-211-2-2110000220000101-2-2-2001111111100002000-1-1000000-100
χ2922222-122-12-122-122-12-1-2-12-1-12-1-1-12-2-222-1-1-1-11-211-2-21111112-200-2-1-122-1-10000220000101-22-20011-1-1-1-1110000-2000-1-1000000100
χ3022222-122-12-122-122-12-1-2-12-1-12-1-1-12-2-222-1-1-1-11-211-2-2111111-2200-2-1-122110000-2-20000-101-2-220011-1-111-1-10000200011000000-100
χ3122222-122-12-122-122-12-1-2-12-1-12-1-1-12-2-2-2-2-1-1-1-11-211-2-21111112-200211-2-2-1-10000-2-2000010-122-200-1-111-1-1110000200011000000-100
χ3222222-122-12-122-122-12-1-2-12-1-12-1-1-12-2-2-2-2-1-1-1-11-211-2-2111111-2200211-2-2110000220000-10-12-2200-1-11111-1-10000-2000-1-1000000100
χ332222-122-12222-122-1-1-122-1-12-1-122-1-1-1-100-1-1-1-122-1-1-1-122-1-1-1-12222000002222220000222200-1-1-1-10000-1-1-1-1-1-1-1-100-1-10000-1-100000
χ342222-122-12222-122-1-1-122-1-12-1-122-1-1-1-100-1-1-1-122-1-1-1-122-1-1-1-122-2-20000022-2-2-2-20000-2-22-200-1-1110000-1-1-1-11111001100001100000
χ352222-122-12222-122-1-1-122-1-12-1-122-1-1-1-100-1-1-1-122-1-1-1-122-1-1-1-1-2-22200000-2-222-2-20000-2-2-220011-1-100001111-1-1-1-1001100001100000
χ362222-122-12222-122-1-1-122-1-12-1-122-1-1-1-100-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-200000-2-2-2-222000022-2-200111100001111111100-1-10000-1-100000
χ372222-122-12222-122-1-1-12-2-1-12-1-122-1-11100-1-1-1-1-2-21111-2-211112-22-2000002222220000-2-2-2-200-11-110000-1-111-1-11100110000-1-100000
χ382222-122-12222-122-1-1-12-2-1-12-1-122-1-11100-1-1-1-1-2-21111-2-211112-2-220000022-2-2-2-2000022-2200-111-10000-1-11111-1-100-1-100001100000
χ392222-122-12222-122-1-1-12-2-1-12-1-122-1-11100-1-1-1-1-2-21111-2-21111-222-200000-2-222-2-20000222-2001-1-11000011-1-1-1-11100-1-100001100000
χ402222-122-12222-122-1-1-12-2-1-12-1-122-1-11100-1-1-1-1-2-21111-2-21111-22-2200000-2-2-2-2220000-2-222001-11-1000011-1-111-1-100110000-1-100000
χ4122-2-2222-2-2-222-2-2-222220-2-22-2-2-2-222000022-2-200000000000000000000000002-22i−2i2i−2i000000000000000000000000002i−2i2i−2i2-200000
χ4222-2-2222-2-2-222-2-2-222220-2-22-2-2-2-222000022-2-200000000000000000000000002-2−2i2i−2i2i00000000000000000000000000−2i2i−2i2i2-200000
χ4322-2-2222-2-2-222-2-2-222220-2-22-2-2-2-222000022-2-20000000000000000000000000-222i−2i−2i2i000000000000000000000000002i−2i−2i2i-2200000
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χ1028-8-88-48-44-84-84-48-44-42-40-4244-2-444-200002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-4844-84-8-4-4842-4-402-44-24-44-2400002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-444444-4-4-44222022-2-2-22-2-2-20000-11-110000006i−6i−3i3i−3i3i00000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-444444-4-4-44222022-2-2-22-2-2-20000-11-11000000−6i6i3i−3i3i−3i00000000000000000000000000000000000000000000000000000000

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