Finite Group Databasebeta

← Group #13172103

Character table — Group #13172103

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222224444444444444444444444666688888888888812121212121212121212121212121212121212121818181824242424242424242424242424242424272727273636363636363636545472727272
order12222233366666666633366666666666666666664444366666666666224412121212121212121212121212121212444466666666121212121212121244444444121212124412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-11-11111111111111111-1-1-1-11-11-111-1-11-11-111-1-1-1-1-1-11-11-1-1-1-1-1-1-111-1-1
χ311111111111111111111111111111111111111111111111111111111-11-111111111111111111-1-1-1-1-11-11-1-111-11-11-1-111-1-1-1-1-11-11-1-1-1-1-1-1-1-111
χ411111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11-11-111-1-11111-11-11-1-1-1-111-1-111
χ71111111111111111111111111111111111111111-1-1-1-1111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-11-11-1-11111111-11-1-1-1-1-11111-1-1
χ81111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111
χ91111-1-1111111111111111-1-1-1-1-1-111-1-1-1-1111111111-1-11-1-1-1-1111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-11-1
χ101111-1-1111111111111111-1-1-1-1-1-111-1-1-1-1111111111-1-11-1-1-1-1111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1111-11-111-1-1-11-11-1-111-1-1-1-1-111-1-1-111111-1-11
χ111111-1-1111111111111111-1-1-1-1-1-111-1-1-1-1111111111-1-11-1-1-1-1111-1-1-1-1-111-11111-1-1-1-11111-1-1-1-1-1-111-11-11-1-1111-11-111-1-1-1-1-1-11-1-11-1-11111-111-1
χ121111-1-1111111111111111-1-1-1-1-1-111-1-1-1-1111111111-1-11-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-11-11
χ131111-1-1111111111111111-1-1-1-1-1-111-1-1-1-11111111-1-1111-1-1-1-1111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-11-11
χ141111-1-1111111111111111-1-1-1-1-1-111-1-1-1-11111111-1-1111-1-1-1-1111-1-1-1-11-1-11-1-1-1-11111-1-1-1-11111-1-1111-11-111-1-1-11-11-1-11111111-1-11-1-111-1-1-111-1
χ151111-1-1111111111111111-1-1-1-1-1-111-1-1-1-11111111-1-1111-1-1-1-1111-1-1-1-1-111-1-1-1-1-11111-1-1-1-11111-1-111-11-11-1-1111-11-111-1-11111-111-1-1-111-1-11-1-11
χ161111-1-1111111111111111-1-1-1-1-1-111-1-1-1-11111111-1-1111-1-1-1-1111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1111-11-1
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χ352222-2-22-1222222-1-1-12-12-1-2-211-2-2-1-1111122-1-12-1-1-2-222-1-2-211-1-1-11111020-2-2-21122-1-11111-1-1-1-100000-10200-1-10-20100110000020-2000000001-1
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χ904-44-400-2-24-4-42-222-2241-2-20000001-13-33-3-22-2222-1−4i4i0010000-11-13-33-300002i−2i2i−2i0000−i−iii−3i3i3i−3i00000000000000000000000000000000000000
χ914-44-400-2-24-4-42-222-2241-2-20000001-1-33-33-22-2222-14i−4i0010000-11-1-33-330000−2i2i−2i2i0000ii−i−i−3i3i3i−3i00000000000000000000000000000000000000
χ924-44-400-2-24-4-42-222-2241-2-20000001-1-33-33-22-2222-1−4i4i0010000-11-1-33-3300002i−2i2i−2i0000−i−iii3i−3i−3i3i00000000000000000000000000000000000000
χ934-4-440044-2-22-4-44-4-4424-2-2000000-4400002-22-222-40000-2000022-2000000000000000000000000004i−4i00000000000000000000000000−2i2i000000
χ944-4-440044-2-22-4-44-4-4424-2-2000000-4400002-22-222-40000-2000022-200000000000000000000000000−4i4i000000000000000000000000002i−2i000000
χ954-4-44004-244-4-4-4422-2-4-24-20000002-20000-442-2-422004i−4i-2000022-20000000000004i−4i−2i2i0000−2i−2i2i2i00000000000000000000000000000000000000
χ964-4-44004-244-4-4-4422-2-4-24-20000002-20000-442-2-42200−4i4i-2000022-2000000000000−4i4i2i−2i00002i2i−2i−2i00000000000000000000000000000000000000
χ974-4-4400-2444-422-2-4-44-4-2-240000002-200002-2-442-42004i−4i-2000022-2000000000000−2i2i4i−4i0000−2i−2i2i2i00000000000000000000000000000000000000
χ984-4-4400-2444-422-2-4-44-4-2-240000002-200002-2-442-4200−4i4i-2000022-20000000000002i−2i−4i4i00002i2i−2i−2i00000000000000000000000000000000000000
χ994-4-4400-2-244-422-222-2-41-2-2000000-113-3-332-22-222-1004i−4i10000-1-113-3-3300000000−2i2i−2i2i3i−3i−3i3iii−i−i00000000000000000000000000000000000000
χ1004-4-4400-2-244-422-222-2-41-2-2000000-113-3-332-22-222-100−4i4i10000-1-113-3-33000000002i−2i2i−2i−3i3i3i−3i−i−iii00000000000000000000000000000000000000
χ1014-4-4400-2-244-422-222-2-41-2-2000000-11-333-32-22-222-1004i−4i10000-1-11-333-300000000−2i2i−2i2i−3i3i3i−3iii−i−i00000000000000000000000000000000000000
χ1024-4-4400-2-244-422-222-2-41-2-2000000-11-333-32-22-222-100−4i4i10000-1-11-333-3000000002i−2i2i−2i3i−3i−3i3i−i−iii00000000000000000000000000000000000000
χ103888888-4-4-4-4-4-4-4-4-4-4-4-4222-4-4-4-4-4-422222222222220000-12222-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ1048888-8-8-4-4-4-4-4-4-4-4-4-4-4-422244444422-2-2-2-222222220000-1-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000000000
χ10588-8-88-8-4-4-44-4-444-4444222-44-44-44-2-222-2-2-2-2-2-22220000-12-22-2-111-1-1110000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-4-4-44-4-444-44442224-44-44-4-2-2-2-222-2-2-2-22220000-1-22-22-11111-1-10000000000000000000000000000000000000000000000000000000000
χ1078-88-8008-4-444-88-84-44-4-4-42000000-440000-442-24-24000020000-22-200000000000000000000000000000000000000000000000000000000000000
χ1088-88-800-48-4444-44-88-8-4-42-4000000-4400002-2-44-244000020000-22-200000000000000000000000000000000000000000000000000000000000000
χ1098-88-800-4-4-4444-444-44-42220000002-26-66-62-22-2-2-2-20000-100001-11-33-330000000000000000000000000000000000000000000000000000000000
χ1108-88-800-4-4-4444-444-44-42220000002-2-66-662-22-2-2-2-20000-100001-113-33-30000000000000000000000000000000000000000000000000000000000
χ1118-8-88008-4-4-44-8-8844-44-4-420000004-400004-4-224-24000020000-2-2200000000000000000000000000000000000000000000000000000000000000
χ1128-8-8800-48-4-4444-4-8-884-42-40000004-40000-224-4-244000020000-2-2200000000000000000000000000000000000000000000000000000000000000
χ1138-8-8800-4-4-4-4444-444-44222000000-226-6-66-22-22-2-2-20000-1000011-1-333-30000000000000000000000000000000000000000000000000000000000
χ1148-8-8800-4-4-4-4444-444-44222000000-22-666-6-22-22-2-2-20000-1000011-13-3-330000000000000000000000000000000000000000000000000000000000

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