Finite Group Databasebeta

← Group #13170474

Character table — Group #13170474

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222224444444444444444444444888888888888121212121212121212121212121212121212121212121212121212121212181818181818181824242424242424242424242436363636363672727272108108
order122233344666666666333666666666121212121212121212123666121212121212121224444466666666121212121212121212121212121212122244121212121212121212121212121212124444661212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-11111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-1-111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ51111111111111111111111111111111111111111111111111111-11111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111
χ71111111111111111111111111111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-11-111-1-111-1-11-11-1111-11-1-11
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111-1-1111-1-1-1-1111-1-11-1-11-1-111-1
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1-11111-1-1-111-1-1-1-111-11-1
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-11-111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-11-1-111-1-111-11-1111-11-11-11
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-11-1-1-1-1-1-1-1-111-1-111-1-11111111111-1-1-1-1-1-11-11-111-1-111-1-1-11-1111-11-111-1
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-11111111-1-1111-1-1-1-111-111-1-1-1-111-1-11
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1111111-111-1-1-11111-1-11-1-11-1-11-1-11-11
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-11-11-1-111-1-1111-11-1111-11-11-1
χ17222222-1222222-1-1-122-1-12-1-122-1-12-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-102222000000000-1-1-1-1-1-1-1-1000000002222-1-1-1-12222-1-1-1-1-1-1-1-10000-1-1000000
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χ23222222-1-2-22222-1-1-122-1-12-1-122-1-12-1-111-2-2-2-2-2-2-2-2-1-1-1-1111111110-222-200000000011-1-1-1-11100000000-2-222-1-1-1-1-222-211-1-1-1-111000011000000
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χ2522222-12222-12-12222-12-1-12-1-1-12-1-12-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-120022222-1-1-1-1-1-10000222222-1-1-1-1-1-10000000000-1-10000-1-1-1-100220000-1-100
χ2622222-12222-12-12222-12-1-12-1-1-12-1-12-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1200-2-2222-1-1-1-1-1-10000-2-2-2-222-1-1-1-1-1-10000000000110000111100-2-200001100
χ2722222-12222-12-12222-12-1-12-1-1-12-1-12-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-20022-2-2-211111100002222-2-21111110000000000-1-10000-1-1-1-100-2-200001100
χ2822222-12222-12-12222-12-1-12-1-1-12-1-12-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-200-2-2-2-2-21111110000-2-2-2-2-2-21111110000000000110000111100220000-1-100
χ2922222-12-2-22-12-12222-12-1-12-1-1-12-1-12-1-2-2-2-2111111-1-1-1-1-2-21111112002-2-222-1-1-1-1-1-1000022-2-2-2-21111110000000000-110000-1-111002-20000-1100
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χ392222-122-2-2-12-12222-12-12-1-12-1-1-12-1-12-2-211-2-21111-1-1-1-111-2-21111-22-200211-2-2111122-2-20000-1-122-1-1-1-100000000-1100-1-1110000-2200001-10000
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χ914-4-444-2-2-44-42-4222-24-2-21-22-122-21-22-12-2-442-222-2-21-1-112-2-11-1-11100000000000000000023−23−2323000000000000000000000000−333−3000000000000
χ924-4-444-2-2-44-42-4222-24-2-21-22-122-21-22-12-2-442-222-2-21-1-112-2-11-1-111000000000000000000−232323−230000000000000000000000003−3−33000000000000
χ934-4-44-2444-42-42-4-4-44-24-24-22-422-24-22-44-4-224-4-2-222-222-2-224-4-2-22200000000000000000000000000000000000000000000000000000000000000
χ944-4-44-244-442-42-4-4-44-24-24-22-422-24-22-4-442-2-4422-2-2-222-22-2-4422-2-200000000000000000000000000000000000000000000000000000000000000
χ954-4-44-24-24-42-42-422-2-241-2-2-12221-2-2-12-22-224-4-2-2221-1-111-1-2211-1-10000000000000023−2323−23000000000000000000000000−33−330000000000000000
χ964-4-44-24-24-42-42-422-2-241-2-2-12221-2-2-12-22-224-4-2-2221-1-111-1-2211-1-100000000000000−2323−23230000000000000000000000003−33−30000000000000000
χ974-4-44-24-2-442-42-422-2-241-2-2-12221-2-2-122-22-2-4422-2-21-1-11-112-2-1-1110000000000000023−23−2323000000000000000000000000−333−30000000000000000
χ984-4-44-24-2-442-42-422-2-241-2-2-12221-2-2-122-22-2-4422-2-21-1-11-112-2-1-11100000000000000−232323−230000000000000000000000003−3−330000000000000000
χ994-4-44-2-244-42222-4-44-2-2-2-2122-1-1-2-21224-4-22-2211-1-11-1-11-22-2211-1-100000000003-3-330000000000003-3-3300000000000000000000000000000000
χ1004-4-44-2-244-42222-4-44-2-2-2-2122-1-1-2-21224-4-22-2211-1-11-1-11-22-2211-1-10000000000-333-3000000000000-333-300000000000000000000000000000000
χ1014-4-44-2-24-442222-4-44-2-2-2-2122-1-1-2-2122-442-22-2-1-1111-1-112-22-2-1-11100000000003-3-33000000000000-333-300000000000000000000000000000000
χ1024-4-44-2-24-442222-4-44-2-2-2-2122-1-1-2-2122-442-22-2-1-1111-1-112-22-2-1-1110000000000-333-30000000000003-3-3300000000000000000000000000000000
χ1038888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-42222-1-1-1-12222-1-1-1-100000000000000000000000000000000000000000000000000000000000000
χ1048888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444444-2-2-2-2-1-1-1-1-2-2-2-2111100000000000000000000000000000000000000000000000000000000000000
χ10588-8-88-4-40084-8-4-444-84-42-4-4-2-444-2442000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-48-400-4-848-4444-82-4-424-44-244-2-4000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-400-444-4-444442222-22-2-2-2-2-220000006i−6i6i−6i-1-1110000−3i3i−3i3i00000000000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-4-400-444-4-444442222-22-2-2-2-2-22000000−6i6i−6i6i-1-11100003i−3i3i−3i00000000000000000000000000000000000000000000000000000000000000
χ1098-88-88-4-400-8-4844-44-84-42-4424-44-24-4-200000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-48-40048-4-84-444-82-4-4-2-44-4-2442400000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-4004-4-444-4444222-22-22-2-2-22-20000006i−6i−6i6i-11-110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4-4004-4-444-4444222-22-22-2-2-22-2000000−6i6i6i−6i-11-1100003i−3i−3i3i00000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-48-8444444-4-4-4222-2-2-2-2222-2-2-44-44-4422-2-2-111-12-22-2-1-11100000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4-88444444-4-4-4222-2-2-2-2222-2-24-44-44-4-2-222-111-1-22-2211-1-100000000000000000000000000000000000000000000000000000000000000

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