Finite Group Databasebeta

← Group #13172255

Character table — Group #13172255

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
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order122222333666666666333666666666666666224436666666666666444466661212121212121212121212124444441212121212121212661212121212121212121212121212444121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-11-11111111111-1-111-1-1-1-111-1-11111-1-1-1-1111-11-1111111-1-1-1-1-11-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-11-1111111111-1-111-1-111-1-1-1-111-1-1-1-1111111-11-1111-1-1-1-11111-1-11-1-111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111111111111-1-1-1-1111111111111111-11-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-11111-1-11-11-1-1-11111-1-1-1-1-1-11-1-111-1-1-1-111
χ7111111111111111111111111111111111111-1-1-1-111111111111111-11-11-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-11-11-1-1-1-1-1-11111-11-111-1-1-1-1-1-111
χ8111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1
χ91111-1-1111111111111111-1-1-1-1-1-111111111111-1-11-1-1-1-1-1-1111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-111111111-1-11-1
χ101111-1-1111111111111111-1-1-1-1-1-111111111111-1-11-1-1-1-1-1-1111-1-1-1-11-1-111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111-111-1-1-111-1-1-1-11111-111-1-1-1-111-11
χ111111-1-1111111111111111-1-1-1-1-1-111111111111-1-11-1-1-1-1-1-1111-1-1-1-1-111-11111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111-1-11-1-1-1-11111-1-11-11-1-111-1-111-11
χ121111-1-1111111111111111-1-1-1-1-1-111111111111-1-11-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-111-1-11-1
χ131111-1-1111111111111111-1-1-1-1-1-1111111111-1-1111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-111-1-1-11
χ141111-1-1111111111111111-1-1-1-1-1-1111111111-1-1111-1-1-1-1-1-1111-1-1-1-11-1-11-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-111-11111-1-1-1-1111-11-1-111-1-1111-1
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χ161111-1-1111111111111111-1-1-1-1-1-1111111111-1-1111-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-111111111-1-1-11
χ1722222222-1222-1-122-122-1-12222-1-12-1-1-122-1-1-12222-122-1-1-1-1-1-1-1-1-1-1-1020222-1-122-1-100-1-100-1-10000220000-1-1-1-1-1-10202-1-10000-1-1-1-100200-1-1000000
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χ8544-4-4-444-2-24-22-22-422-4-2-21-442-22-2-2-2-1-122221-444-412-22-2-111-1-1-1-11100002-22-2-22-220000000000000000000000-1100001-1000000000000000000000
χ8644-4-4-44-244-24-44-42-4-42-2-242-2-44-44-2-2-4-4222240000-22-22-2-44-22222-2-2000000000000000000000000000000000000000000000000000000000000000
χ8744-4-4-44-24-2-24-4-222-422-21-22-2-442-2-212222-1-1-2000012-2-112-21-1-1-1-1110000000000000023−2300−232300000000000000000000000000−333−30000000000000
χ8844-4-4-44-24-2-24-4-222-422-21-22-2-442-2-212222-1-1-2000012-2-112-21-1-1-1-11100000000000000−23230023−23000000000000000000000000003−3−330000000000000
χ8944-4-4-44-2-24-2-224-422-421-2-22-22-2-441-222-1-122-200001-112-22-21-1-1-1-11100000000000023−2300−2323000000000000000000000000−333−300000000000000000
χ9044-4-4-44-2-24-2-224-422-421-2-22-22-2-441-222-1-122-200001-112-22-21-1-1-1-111000000000000−23230023−230000000000000000000000003−3−3300000000000000000
χ914-44-40044-2-4-442-2-4-4244-2-2000000-42-224-4-2220000-20000002-2200000000000000000000000000004i−4i0000−2i2i−2i2i00000000000000000000000000000
χ924-44-40044-2-4-442-2-4-4244-2-2000000-42-224-4-2220000-20000002-220000000000000000000000000000−4i4i00002i−2i2i−2i00000000000000000000000000000
χ934-44-4004-24-42-2-44-42-44-24-20000002-4-22-224-420000-20000002-22000000000000000000000000004i−4i00−2i2i−2i2i000000000000000000000000000000000
χ944-44-4004-24-42-2-44-42-44-24-20000002-4-22-224-420000-20000002-2200000000000000000000000000−4i4i002i−2i2i−2i000000000000000000000000000000000
χ954-44-400-2442-44-442-4-4-2-2-24000000224-4-22-22-40000-20000002-220000000000000000000000004-400000000000000000000000000000000000-220000
χ964-44-400-2442-44-442-4-4-2-2-24000000224-4-22-22-40000-20000002-22000000000000000000000000-44000000000000000000000000000000000002-20000
χ974-4-4400444-4-4-4-4-4444-4444000000-4-4-44-44-44-400004000000-4-440000000000000000000000000000000000000000000000000000000000000000000
χ984-4-440044-2-4-4-42244-2-44-2-2000000-422-2-442-220000-200000022-20000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000000000
χ994-4-440044-2-4-4-42244-2-44-2-2000000-422-2-442-220000-200000022-200000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000000000
χ1004-4-44004-24-422-4-44-24-4-24-20000002-42-22-2-4420000-200000022-2000000000000000000000000000000−2i32i32i3−2i3000000000000000000000000000000000
χ1014-4-44004-24-422-4-44-24-4-24-20000002-42-22-2-4420000-200000022-20000000000000000000000000000002i3−2i3−2i32i3000000000000000000000000000000000
χ1024-4-4400-2442-4-4-4-4-2442-2-2400000022-442-22-2-40000-200000022-200000000000000000000000000000000000000000000000000000000000000023−2300
χ1034-4-4400-2442-4-4-4-4-2442-2-2400000022-442-22-2-40000-200000022-2000000000000000000000000000000000000000000000000000000000000000−232300
χ104888888-4-4-4-4-4-4-4-4-4-4-4-4222-4-4-4-4-4-42222222220000-1222222-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000000000000
χ1058888-8-8-4-4-4-4-4-4-4-4-4-4-4-42224444442222222220000-1-2-2-2-2-2-2-1-1-11111000000000000000000000000000000000000000000000000000000000000000
χ10688-8-88-8-4-4-4-4-44-444444222-44-44-4422-2-2-2-2-2-220000-12-22-22-2-111-1-111000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-88-4-4-4-4-44-4444442224-44-44-422-2-2-2-2-2-220000-1-22-22-22-11111-1-1000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8008-4-4-84-44-4-8448-4-42000000442-2-44-44-200002000000-22-20000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-800-48-44-884-44-84-4-42-40000004-2-44-442-2400002000000-22-20000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-800-4-4844-4-8844-8-42-4-4000000-24-442-2-44400002000000-22-20000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-800-4-4-444-44-4444-4222000000-2-22-22-22-2-20000-10000001-11−3i33i3−3i33i3000000000000000000000000000000000000000000000000000000000000000
χ1128-88-800-4-4-444-44-4444-4222000000-2-22-22-22-2-20000-10000001-113i3−3i33i3−3i3000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88008-4-4-844448-4-4-8-4-4200000044-224-44-4-200002000000-2-220000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8800-48-44-8-844-48-44-42-40000004-24-44-4-22400002000000-2-220000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-8800-4-48444-8-8-4-4842-4-4000000-244-4-224-4400002000000-2-220000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-8800-4-4-444444-4-4-44222000000-2-2-22-22-22-20000-100000011-1−3i33i33i3−3i3000000000000000000000000000000000000000000000000000000000000000
χ1178-8-8800-4-4-444444-4-4-44222000000-2-2-22-22-22-20000-100000011-13i3−3i3−3i33i3000000000000000000000000000000000000000000000000000000000000000

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