Finite Group Databasebeta

← Group #13168258

Character table — Group #13168258

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222444444444444444444444466668888888888889999121212121212121212121212121212121212121212121212121212121818181818182424242424242424242424243636363636365454545472727272
order1222333446666666663336666666661212121212121212121222443666121212121212121222224444666666661212121212121212121212121212121244666612121212121212121212121244441212224412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1111111111111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-111
χ81111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111-11-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-111-1-11-11-1-1-111-1-11-11-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-11-1111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-11-11-1-111-1-1-11-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11-1-1111-1-1-1-1111-1-1111-1-1111-1-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-11111-1-1-111-111-1-111-111-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-11-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-111111-11-111-1-111-1-1-11-11-1-1-1-111-11-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-11-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-11111-11-11-1-111-1-1111-11-1-1-1-1-1111-11-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-11-1-1111-1-1-1-111-111-11111-1-1-111-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-111-1-1-11111-1-11-1-111111-1-11-1-11
χ17222222-12222-122-1-122-1-12-1-122-1-12-1-1-1-1222222220000-1-1-1-1-1-1-1-1-1-1-1-12222222200000000-1-1-1-1-1-1-1-10000000022-1-1-1-12222-1-1-1-1-1-1-1-10000-1-100000000
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χ19222222-12222-122-1-122-1-12-1-122-1-12-1-1-1-1222222220000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-200000000-1-1-1-1111100000000-2-2111122-2-2-1-1-1-1111100001100000000
χ20222222-12222-122-1-122-1-12-1-122-1-12-1-1-1-1222222220000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222000000001111-1-1-1-100000000-2-21111-2-2221111-1-1-1-100001100000000
χ21222222-1-2-222-122-1-122-1-12-1-122-1-12-1-111-2-2-2-2-2-2-2-20000-1-1-1-11111111122222-22-200000000-1-111-1-11100000000-2-2-1-1-1-12-22-2-1-111-1-11100001100000000
χ22222222-1-2-222-122-1-122-1-12-1-122-1-12-1-111-2-2-2-2-2-2-2-20000-1-1-1-1111111112222-22-220000000011-1-111-1-100000000-2-2-1-1-1-1-22-2211-1-111-1-100001100000000
χ23222222-1-2-222-122-1-122-1-12-1-122-1-12-1-111-2-2-2-2-2-2-2-20000-1-1-1-111111111-2-2-2-22-2-2200000000-1-11111-1-1000000002211112-2-22-1-11111-1-10000-1-100000000
χ24222222-1-2-222-122-1-122-1-12-1-122-1-12-1-111-2-2-2-2-2-2-2-20000-1-1-1-111111111-2-2-2-2-222-20000000011-1-1-1-11100000000221111-222-211-1-1-1-1110000-1-100000000
χ2522222-12222-122-1222-12-1-12-1-1-12-1-12-12222-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-10000002222-1-1-1-1-1-10000222222-1-1-1-1-1-100000000-1-10000-1-1-1-1002200000000-1-1
χ2622222-12222-122-1222-12-1-12-1-1-12-1-12-12222-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1000000-2-222-1-1-1-1-1-10000-2-2-2-222-1-1-1-1-1-100000000110000111100-2-20000000011
χ2722222-12222-122-1222-12-1-12-1-1-12-1-12-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-100000022-2-211111100002222-2-211111100000000-1-10000-1-1-1-100-2-20000000011
χ2822222-12222-122-1222-12-1-12-1-1-12-1-12-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-1000000-2-2-2-21111110000-2-2-2-2-2-2111111000000001100001111002200000000-1-1
χ2922222-12-2-22-122-1222-12-1-12-1-1-12-1-12-1-2-2-2-211111122-2-2-1-1-1-1-2-21111110000002-222-1-1-1-1-1-1000022-2-2-2-211111100000000-110000-1-111002-200000000-11
χ3022222-12-2-22-122-1222-12-1-12-1-1-12-1-12-1-2-2-2-211111122-2-2-1-1-1-1-2-2111111000000-2222-1-1-1-1-1-10000-2-222-2-2111111000000001-1000011-1-100-22000000001-1
χ3122222-12-2-22-122-1222-12-1-12-1-1-12-1-12-1-2-2-2-2111111-2-222-1-1-1-1-2-21111110000002-2-2-2111111000022-2-222-1-1-1-1-1-100000000-110000-1-11100-22000000001-1
χ3222222-12-2-22-122-1222-12-1-12-1-1-12-1-12-1-2-2-2-2111111-2-222-1-1-1-1-2-2111111000000-22-2-21111110000-2-22222-1-1-1-1-1-1000000001-1000011-1-1002-200000000-11
χ332222-12222-122-1222-12-12-1-12-1-1-12-1-1222-1-122-1-1-1-12222-1-1-1-1-1-122-1-1-1-100002200-1-122-1-1-1-122220000-1-122-1-1-1-1000000-1-100-1-1-1-100002200000000-1-100
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χ352222-12222-122-1222-12-12-1-12-1-1-12-1-1222-1-122-1-1-1-1-2-2-2-2-1-1-1-1-1-122-1-1-1-10000220011-2-211112222000011-2-21111000000-1-100-1-1-1-10000-2-2000000001100
χ362222-12222-122-1222-12-12-1-12-1-1-12-1-1222-1-122-1-1-1-1-2-2-2-2-1-1-1-1-1-122-1-1-1-10000-2-20011-2-21111-2-2-2-2000011-2-211110000001100111100002200000000-1-100
χ372222-122-2-2-122-1222-12-12-1-12-1-1-12-1-12-2-211-2-2111122-2-2-1-1-1-111-2-2111100002-200-1-122-1-1-1-122-2-2000011-2-21111000000-1100-1-11100002-200000000-1100
χ382222-122-2-2-122-1222-12-12-1-12-1-1-12-1-12-2-211-2-2111122-2-2-1-1-1-111-2-211110000-2200-1-122-1-1-1-1-2-222000011-2-211110000001-10011-1-10000-22000000001-100
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χ1084-4-44-2-24-4422-4224-4-2-2-2-2122-1-1-2-2122-442-22-2-1-11100001-1-112-22-2-1-111000000000000-333-30000000000003-3-3300000000000000000000000000000000
χ1098888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-422220000-1-1-1-12222-1-1-1-10000000000000000000000000000000000000000000000000000000000000000
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χ11188-8-88-4-4008-4-4-8444-84-42-4-42-444-244-20000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
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χ11488-8-8-4-4-400-4-4-4444444222222-2-2-2-2-2-2000000−6i6i−6i6i0000-1-11100003i−3i3i−3i0000000000000000000000000000000000000000000000000000000000000000
χ1158-88-88-4-400-8448-44-4-84-42-44-24-44-24-42000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
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χ1178-88-8-4-4-400444-4-44-444222-2-2-22-2-2-2220000006i−6i−6i6i0000-11-110000−3i3i3i−3i0000000000000000000000000000000000000000000000000000000000000000
χ1188-88-8-4-4-400444-4-44-444222-2-2-22-2-2-222000000−6i6i6i−6i0000-11-1100003i−3i−3i3i0000000000000000000000000000000000000000000000000000000000000000
χ1198-8-88-4-4-48-844444-44-4-4222-2-2-2-2222-2-2-44-44-4422-2-20000-111-12-22-2-1-1110000000000000000000000000000000000000000000000000000000000000000
χ1208-8-88-4-4-4-8844444-44-4-4222-2-2-2-2222-2-24-44-44-4-2-2220000-111-1-22-2211-1-10000000000000000000000000000000000000000000000000000000000000000

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