Finite Group Databasebeta

← Group #13172298

Character table — Group #13172298

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222224444444444444444444444888888888888121212121212121212121212121212121212121212121212121212121212181818181818181824242424242424242424242436363636363672727272108108
order1222223336666666663336666666666666666666366666666666224444666612121212121212121212121212121212121212122222666666666612121212121222446666121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-1111-111-1-111-1-11111111111111111-1-1-1-1-1-1-1-11-111-1-11-111-1-11-11-1-1-11-11-1-1-1
χ411111111111111111111111111111111111111111111111111111-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11-111-1-1-11-11-1-1-11-1111
χ51111111111111111111111111111111111111111111111111111-1111-11-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-11-1-111-11-1-111-11-11-1-1-11-11-1-1
χ61111111111111111111111111111111111111111111111111111-11-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11-1-1111-11-1-1-11-11-111
χ71111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
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
χ91111-1-1111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1111-1-1-1-1111-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-1-1-11-1-11-1-11-1-111-1
χ101111-1-1111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1111-1-1-1-111-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-111-1-1-1-111-1-11
χ111111-1-1111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1111-1-1-1-11-11-1-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11-111-1-1-11-1-11111-1-11111-1-1-11
χ121111-1-1111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1111-1-1-1-11-1-11-1111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11-111-1-1-11-1-111-1-11111-1-1111-1
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χ1722222222-122-1-122-1222-1-12222-1-1222222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1220022-1-1-1-1-1-1-1-100000000000000002222-1-1-1-122-1-1-1-122-1-1-1-10000-1-1000000
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χ864-44-4-444-2-2-4222-42-24-2-2-21-442-22-2-2222-2-222-1-1-21212-2-111-1-1-1-111000000002i3−2i300−2i32i30000000000000000000000000000−i3i30000i3−i3000000000000
χ874-44-4-44-2442-4-4-42-44-24-2-242-2-44-44-2222-2-222-4-4-242-22-2-44-22222-2-200000000000000000000000000000000000000000000000000000000000000
χ884-44-4-44-24-22-4222-4-2-24-21-22-2-442-2-2222-2-2-1-1221-221-112-21-1-1-1-111000000−2i32i3002i3−2i30000000000000000000000000000i3−i30000−i3i300000000000000
χ894-44-4-44-24-22-4222-4-2-24-21-22-2-442-2-2222-2-2-1-1221-221-112-21-1-1-1-1110000002i3−2i300−2i32i30000000000000000000000000000−i3i30000i3−i300000000000000
χ904-44-4-44-2-2422-4-4224-2-21-2-22-22-2-441-1-1-1112222-2-2-112-22-21-1-1-1-11100000000000000000000003i−3i3i−3i−3i3i−3i3i00000000000000000000000000000000
χ914-44-4-44-2-2422-4-4224-2-21-2-22-22-2-441-1-1-1112222-2-2-112-22-21-1-1-1-1110000000000000000000000−3i3i−3i3i3i−3i3i−3i00000000000000000000000000000000
χ924-4-440044444-44-4-4-4-4-4444000000-440000-44-44-4-4-440000-4-44000000000000000000000000000000000000000000000000000000000000000000
χ934-4-440044-2442-2-4-42-4-44-2-2000000-4400002-22-222-4-2000022-200000000000000000000000000000000000000−2i32i32i3−2i3000000000000000000000000
χ944-4-440044-2442-2-4-42-4-44-2-2000000-4400002-22-222-4-2000022-2000000000000000000000000000000000000002i3−2i3−2i32i3000000000000000000000000
χ954-4-44004-244-2-44-42-4-42-24-20000002-20000-442-2-422-2000022-20000000000000000000023−23000023−23−2323000000000000000000000000000000000000
χ964-4-44004-244-2-44-42-4-42-24-20000002-20000-442-2-422-2000022-200000000000000000000−23230000−232323−23000000000000000000000000000000000000
χ974-4-4400-244-24-442-4-42-4-2-240000002-200002-2-442-42-2000022-2000000000000000000000023−2300000023−23−232300000000000000000000000000000000
χ984-4-4400-244-24-442-4-42-4-2-240000002-200002-2-442-42-2000022-20000000000000000000000−2323000000−232323−2300000000000000000000000000000000
χ994-4-4400-2-24-2-2-4422-4221-2-2000000-113-3-332-22-222-110000-1-113-3-33000000000000000023−2323−2300−333−3−333−300000000000000000000000000000000
χ1004-4-4400-2-24-2-2-4422-4221-2-2000000-113-3-332-22-222-110000-1-113-3-330000000000000000−2323−2323003−3−333−3−3300000000000000000000000000000000
χ1014-4-4400-2-24-2-2-4422-4221-2-2000000-11-333-32-22-222-110000-1-11-333-3000000000000000023−23−232300−333−33−3−3300000000000000000000000000000000
χ1024-4-4400-2-24-2-2-4422-4221-2-2000000-11-333-32-22-222-110000-1-11-333-30000000000000000−232323−23003−3−33−333−300000000000000000000000000000000
χ103888888-4-4-4-4-4-4-4-4-4-4-4-4222-4-4-4-4-4-42222222222222-12222-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000000000000000
χ1048888-8-8-4-4-4-4-4-4-4-4-4-4-4-422244444422-2-2-2-22222222-1-2-2-2-2-1-1-1111100000000000000000000000000000000000000000000000000000000000000
χ10588-8-8008-4-4-84-448-44-84-4-42000000440000-442-24-2-420000-22-2000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-800-48-44-8-44-4844-8-42-40000004400002-2-44-24-420000-22-2000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-800-4-4-444-44-4-4444222000000-2-26-66-62-22-2-2-22-100001-11-33-3300000000000000000000000000000000000000000000000000000000000000
χ10888-8-800-4-4-444-44-4-4444222000000-2-2-66-662-22-2-2-22-100001-113-33-300000000000000000000000000000000000000000000000000000000000000
χ1098-88-88-8-4-4-4444444-4-4-4222-44-44-442-222-2-2-2-2-2-222-2-12-22-2-111-1-11100000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-88-4-4-4444444-4-4-42224-44-44-42-2-2-222-2-2-2-222-2-1-22-22-11111-1-100000000000000000000000000000000000000000000000000000000000000
χ1118-8-88008-4-48-44-4-844-84-4-420000004-400004-4-224-2420000-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-8800-48-4-484-44-844-8-42-40000004-40000-224-4-24420000-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-8800-4-4-4-4-44-444444222000000-226-6-66-22-22-2-2-2-1000011-1-333-300000000000000000000000000000000000000000000000000000000000000
χ1148-8-8800-4-4-4-4-44-444444222000000-22-666-6-22-22-2-2-2-1000011-13-3-3300000000000000000000000000000000000000000000000000000000000000

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