Finite Group Databasebeta

← Group #13172297

Character table — Group #13172297

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222224444444444444444444444888888888888121212121212121212121212121212121212121212121212121212121212181818181818181824242424242424242424242436363636363672727272108108
order12222233366666666633366666666666666666663666666666662222446666666666666666666612121212222266666666661212121212124444661212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-11-11111111111-1-11111111111-1-1-1-1-1-1-1-1-1-11-111-1-11-111-1-111-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-11-1111111111-1-11111111111-1-111-1-1-1-1-1-1-1-1-11-1-111-11-1-111-1-111-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ51111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111111111-1-11-11-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-111-1-11-111-1-1-1-111-1-1-1-11111
χ71111111111111111111111111111111111111111111111111111-1-1-11-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-111-11-1-11111-1-1-1-111-1-111
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
χ91111-1-1111111111111111-1-1-1-1-1-11111111-1-1-1-1111-1-1-1-1111-1-1-1-11-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-11-11-1-1-11-11-11-1
χ101111-1-1111111111111111-1-1-1-1-1-11111111-1-1-1-1111-1-1-1-1111-1-1-1-11-11-1-111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-11-111-1-1-11-1-1111-1-11111-1-11-11
χ111111-1-1111111111111111-1-1-1-1-1-11111111-1-1-1-1111-1-1-1-1111-1-1-1-11-1-111-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-11-1-1111-111-1-1-111-111-111-1-11
χ121111-1-1111111111111111-1-1-1-1-1-11111111-1-1-1-1111-1-1-1-1111-1-1-1-11-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1111111-11-11-1-1-11-111-1
χ131111-1-1111111111111111-1-1-1-1-1-11111111-1-1-1-1111-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-1-1-1-11-11-1-1-11-11-11
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χ161111-1-1111111111111111-1-1-1-1-1-11111111-1-1-1-1111-1-1-1-1111-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111111-11-1-1-11-11-1-11
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χ352222-2-22-12222-1222-1-12-1-1-2-211-2-222-1-1-1-1-111112-1-1-2-211-1-1-11111-22020-2-2-21122-1-100221111-1-1-1-100-2-2000000000-100-1-101001100-2200001-100
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χ392222-2-2-12222-122-1-122-12-111-2-2-2-2-1-122-1-1-11111-12-111-2-2-1-1-11111-2220-2011-2-2-1-12222001111-1-1-1-1-2-20000000000-10-1-100101100-2200001-10000
χ402222-2-2-12222-122-1-122-12-111-2-2-2-2-1-122-1-1-11111-12-111-2-2-1-1-11111-22-202011-2-2-1-122-2-2001111-1-1-1-1220000000000101100-10-1-1002-20000-110000
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χ874-4-444-44-24-4-44-24-4-4224-2-24-4-224-4-4-422-222-2-2224-2-24-4-22-222-2-22200000000000000000000000000000000000000000000000000000000000000
χ884-4-444-44-2-2224-2-2-4-422-21-24-4-22-2222-1-1-222-2-222-211-221-11-1-111-1-100000000000000002i3−2i300000000002i3−2i3000000000000−i3i30000−i3i3000000000000
χ894-4-444-44-2-2224-2-2-4-422-21-24-4-22-2222-1-1-222-2-222-211-221-11-1-111-1-10000000000000000−2i32i30000000000−2i32i3000000000000i3−i30000i3−i3000000000000
χ904-4-444-4-244-4-4-24422-4-4-24-2-224-44-422-4-4-222-2-222-24-2-224-4-222-2-22200000000000000000000000000000000000000000000000000000000000000
χ914-4-444-4-24-222-24-222-4-41-2-2-224-4-22-1-122-222-2-2221-211-1-221-1-111-1-1000000000000002i3−2i300000000002i3−2i3000000000000−i3i30000−i3i300000000000000
χ924-4-444-4-24-222-24-222-4-41-2-2-224-4-22-1-122-222-2-2221-211-1-221-1-111-1-100000000000000−2i32i30000000000−2i32i3000000000000i3−i30000i3−i300000000000000
χ934-4-444-4-2-24-4-4-2-242222-2-21-22-224-422221-1-111-1-1-2-21-22-221-1-111-1-10000000000000000003-3-333-3-33000000000000000000000000000000000000
χ944-4-444-4-2-24-4-4-2-242222-2-21-22-224-422221-1-111-1-1-2-21-22-221-1-111-1-1000000000000000000-333-3-333-3000000000000000000000000000000000000
χ954-4-44-444-24-4-44-24-4-4224-2-2-442-2-44-4-422-22222-2-24-2-2-442-2-22222-2-200000000000000000000000000000000000000000000000000000000000000
χ964-4-44-444-2-2224-2-2-4-422-21-2-442-22-222-1-1-22222-2-2-2112-2-111-1-1-1-11100000000000000002i3−2i30000000000−2i32i3000000000000−i3i30000i3−i3000000000000
χ974-4-44-444-2-2224-2-2-4-422-21-2-442-22-222-1-1-22222-2-2-2112-2-111-1-1-1-1110000000000000000−2i32i300000000002i3−2i3000000000000i3−i30000−i3i3000000000000
χ984-4-44-44-244-4-4-24422-4-4-24-22-2-44-4422-4-4-22222-2-2-24-22-2-44-22222-2-200000000000000000000000000000000000000000000000000000000000000
χ994-4-44-44-24-222-24-222-4-41-2-22-2-442-2-1-122-22222-2-21-21-112-21-1-1-1-111000000000000002i3−2i30000000000−2i32i3000000000000−i3i30000i3−i300000000000000
χ1004-4-44-44-24-222-24-222-4-41-2-22-2-442-2-1-122-22222-2-21-21-112-21-1-1-1-11100000000000000−2i32i300000000002i3−2i3000000000000i3−i30000−i3i300000000000000
χ1014-4-44-44-2-24-4-4-2-242222-2-212-22-2-4422221-1-1-1-111-2-212-22-21-1-1-1-1110000000000000000003-3-33-333-3000000000000000000000000000000000000
χ1024-4-44-44-2-24-4-4-2-242222-2-212-22-2-4422221-1-1-1-111-2-212-22-21-1-1-1-111000000000000000000-333-33-3-33000000000000000000000000000000000000
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
χ1048888-8-8-4-4-4-4-4-4-4-4-4-4-4-42224444442222222-2-2-2-222-1-2-2-2-2-1-1-1111100000000000000000000000000000000000000000000000000000000000000
χ10588-8-8008-4-4-44-8448-8-44-42-4000000-442-24-4400004-220000-22-2000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-800-48-4-444-84-448-82-4-40000002-2-444-440000-2420000-22-2000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-800-4-4-4-44444-44-442220000002-22-2-22-26-66-6-2-2-100001-11-33-3300000000000000000000000000000000000000000000000000000000000000
χ10888-8-800-4-4-4-44444-44-442220000002-22-2-22-2-66-66-2-2-100001-113-33-300000000000000000000000000000000000000000000000000000000000000
χ1098-88-8008-4-44-4-844-884-4-42-40000004-4-2244-400004-220000-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-800-48-44-44-844-4-882-4-4000000-224-444-40000-2420000-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-800-4-4-44-44444-44-4222000000-22-22-2-226-6-66-2-2-1000011-1-333-300000000000000000000000000000000000000000000000000000000000000
χ1128-88-800-4-4-44-44444-44-4222000000-22-22-2-22-666-6-2-2-1000011-13-3-3300000000000000000000000000000000000000000000000000000000000000
χ1138-8-888-8-4-4-444-4-4-44444222-44-44-44-2-2-2-22-2-222-2-222-12-22-2-111-1-11100000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-88-4-4-444-4-4-444442224-44-44-4-2-2-2-22-2-2-2-22222-1-22-22-11111-1-100000000000000000000000000000000000000000000000000000000000000

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