Finite Group Databasebeta

← Group #13169383

Character table — Group #13169383

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222224444444444444444444444666688888888888812121212121212121212121212121212121212121818181824242424242424242424242424242424272727273636363636363636545472727272
order12223334466666666633366666666612121212121212121212224436661212121212121212444466666666121212121212121244441212121212121212121212121212121244444444121212124412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-11-11111111111111111-1-1-1-11-11-11-11-111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-11-11-1
χ311111111111111111111111111111111111111111111111111111111-11-111111111111111111-1-1-1-1-11-11-11-11-1-111-1-111-1-1-1-1-11-11-1-1-1-1-1-1-11-11
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
χ61111111111111111111111111111111111111111-1-1-1-11111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-111-1-111-1-11111-11-11-1-1-1-111-11-11
χ71111111111111111111111111111111111111111-1-1-1-1111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1-111-1-11111111-11-1-1-1-1-1111-11-1
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
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-111-1-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1111-1-11-111-1-1-11111-1-1-1-1-1-1-111-1-1-111111-1-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-1-1-111-111-11-1-1111-1-1-1-111-1-1-1-11-1-11-1-11111-111-1
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-111
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-111111111-1-1111-1-11-111-1-1-11111-1-111111-1-11-1-111-1-1-111-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-111-111-11-1-1111-1-1-1-1111111-111-1-1-111-1-11-1-11
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ17222222-1222-1222-122-12-1-12-1-1-12-12-1-12222-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1020222-1-1-1-1-1-122-1-1-1-1-1-10000020-1020-100-1-100-1-1000002020000000-10-1
χ18222222-1222-1222-122-12-1-12-1-1-12-12-1-12222-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-10-20-222-1-1-1-1-1-122-1-1-1-1-1-100000-2010-2010011001100000-20-20000000101
χ19222222-1222-1222-122-12-1-12-1-1-12-12-1-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-10202-2-2111111-2-21111110000020-1020-100-1-100-1-100000-20-20000000101
χ20222222-1222-1222-122-12-1-12-1-1-12-12-1-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-10-20-2-2-2111111-2-211111100000-2010-20100110011000002020000000-10-1
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χ23222222-1-2-22-1222-122-12-1-12-1-1-12-12-1-1-2-2-2-2111111-2-222-1-1-1-1-2-2111111020-2-2-211111122-1-1-1-1-1-1000002010-20-1001100-1-10000020-2000000010-1
χ24222222-1-2-22-1222-122-12-1-12-1-1-12-12-1-1-2-2-2-2111111-2-222-1-1-1-1-2-21111110-202-2-211111122-1-1-1-1-1-100000-20-1020100-1-1001100000-2020000000-101
χ2522222-1222-1222-122-12-12-1-12-1-1-12-12-122-1-122-1-1-1-12222-1-1-1-1-1-122-1-1-1-12020-1-122-1-1-1-1-1-122-1-1-1-1000020-1020-10-1-100-1-10000002020000000-10-10
χ2622222-1222-1222-122-12-12-1-12-1-1-12-12-122-1-122-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-20-20-1-122-1-1-1-1-1-122-1-1-1-10000-2010-2010110011000000-20-200000001010
χ2722222-1222-1222-122-12-12-1-12-1-1-12-12-122-1-122-1-1-1-1-2-2-2-2-1-1-1-1-1-122-1-1-1-1202011-2-2111111-2-21111000020-1020-10-1-100-1-1000000-20-200000001010
χ2822222-1222-1222-122-12-12-1-12-1-1-12-12-122-1-122-1-1-1-1-2-2-2-2-1-1-1-1-1-122-1-1-1-1-20-2011-2-2111111-2-211110000-2010-20101100110000002020000000-10-10
χ2922222-12-2-2-1222-122-12-12-1-12-1-1-12-12-1-2-211-2-2111122-2-2-1-1-1-111-2-2111120-20-1-122-1-1-1-111-2-2111100002010-20-101100-1-1000000-2020000000-1010
χ3022222-12-2-2-1222-122-12-12-1-12-1-1-12-12-1-2-211-2-2111122-2-2-1-1-1-111-2-21111-2020-1-122-1-1-1-111-2-211110000-20-102010-1-1001100000020-2000000010-10
χ3122222-12-2-2-1222-122-12-12-1-12-1-1-12-12-1-2-211-2-21111-2-222-1-1-1-111-2-2111120-2011-2-21111-1-122-1-1-1-100002010-20-101100-1-100000020-2000000010-10
χ3222222-12-2-2-1222-122-12-12-1-12-1-1-12-12-1-2-211-2-21111-2-222-1-1-1-111-2-21111-202011-2-21111-1-122-1-1-1-10000-20-102010-1-10011000000-2020000000-1010
χ332222-1222222-1-122-122-1-12-1-122-1-1-1-12-1-1222222220000-1-1-1-1-1-1-1-1-1-1-1-1222200000000000000002222-1-122-1-122-1-1-1-1-1-1-1-100000000-1-1-1-1000000
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χ362222-1222222-1-122-122-1-12-1-122-1-1-1-12-1-1222222220000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000000000222211-2-211-2-21111111100000000-1-1-1-1000000
χ372222-122-2-222-1-122-122-1-12-1-122-1-1-1-1211-2-2-2-2-2-2-2-20000-1-1-1-11111111122-2-2000000000000000022-2-2-1-1-2-211221111-1-1-1-100000000-1-111000000
χ382222-122-2-222-1-122-122-1-12-1-122-1-1-1-1211-2-2-2-2-2-2-2-20000-1-1-1-1111111112-2-220000000000000000-2-222-11-221-12-211-1-1-1-1110000000011-1-1000000
χ392222-122-2-222-1-122-122-1-12-1-122-1-1-1-1211-2-2-2-2-2-2-2-20000-1-1-1-111111111-222-20000000000000000-2-2221-12-2-11-22-1-11111-1-10000000011-1-1000000
χ402222-122-2-222-1-122-122-1-12-1-122-1-1-1-1211-2-2-2-2-2-2-2-20000-1-1-1-111111111-2-222000000000000000022-2-21122-1-1-2-2-1-1-1-1111100000000-1-111000000
χ4122-2-222200-2-22-2-2-2-222222-2-2-2-2-2-22220000000000002-22-2-22000000000000000000002-22-222-2-2002i−2i00000000000000002i2i−2i−2i0000002i−2i000000
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χ512-2-22222−2i2i-2-2-2-2222-2-2222-2-2-2222-2-2-2−2i2i−2i2i−2i2i−2i−2i2i2i00002-22-2−2i2i−2i2i−2i−2i2i2i00000000000000000000000000000000000000002i−2i−2i2i00000000-220000
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χ894-4-444-2-24i−4i22-4-4-2-2422-2-2122-11-2-222-14i−4i−2i2i−2i2iii−i−i00001-11-1−2i2i−2i2iii−i−i000000003-3-3300003i−3i−3i3i00000000000000000000000000000000000000
χ904-4-444-2-24i−4i22-4-4-2-2422-2-2122-11-2-222-14i−4i−2i2i−2i2iii−i−i00001-11-1−2i2i−2i2iii−i−i00000000-333-30000−3i3i3i−3i00000000000000000000000000000000000000
χ914-4-444-2-2−4i4i22-4-4-2-2422-2-2122-11-2-222-1−4i4i2i−2i2i−2i−i−iii00001-11-12i−2i2i−2i−i−iii000000003-3-330000−3i3i3i−3i00000000000000000000000000000000000000
χ924-4-444-2-2−4i4i22-4-4-2-2422-2-2122-11-2-222-1−4i4i2i−2i2i−2i−i−iii00001-11-12i−2i2i−2i−i−iii00000000-333-300003i−3i−3i3i00000000000000000000000000000000000000
χ934-4-44-2444i−4i-4-42244-2-4-4-2-2422-44-2-222-4−2i2i4i−4i4i−4i4i4i−4i−4i0000-22-22−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000
χ944-4-44-244−4i4i-4-42244-2-4-4-2-2422-44-2-222-42i−2i−4i4i−4i4i−4i−4i4i4i0000-22-222i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000
χ954-4-44-24-24i−4i-42224-2-2-42-21-22-12-2-212-12−2i2i4i−4i−2i2i−2i−2i2i2i00001-11-1−2i2ii−iii−i−i00000000000000000000000000000000003-3003i−3i000000000000000000
χ964-4-44-24-24i−4i-42224-2-2-42-21-22-12-2-212-12−2i2i4i−4i−2i2i−2i−2i2i2i00001-11-1−2i2ii−iii−i−i0000000000000000000000000000000000-3300−3i3i000000000000000000
χ974-4-44-24-2−4i4i-42224-2-2-42-21-22-12-2-212-122i−2i−4i4i2i−2i2i2i−2i−2i00001-11-12i−2i−ii−i−iii00000000000000000000000000000000003-300−3i3i000000000000000000
χ984-4-44-24-2−4i4i-42224-2-2-42-21-22-12-2-212-122i−2i−4i4i2i−2i2i2i−2i−2i00001-11-12i−2i−ii−i−iii0000000000000000000000000000000000-33003i−3i000000000000000000
χ994-4-44-2-244i−4i2-422-24-22-41-2-2-122-21-2-122−2i2i−2i2i4i−4i−2i−2i2i2i00001-11-1i−i−2i2iii−i−i000000000000000000000000000000003-3003i−3i00000000000000000000
χ1004-4-44-2-244i−4i2-422-24-22-41-2-2-122-21-2-122−2i2i−2i2i4i−4i−2i−2i2i2i00001-11-1i−i−2i2iii−i−i00000000000000000000000000000000-3300−3i3i00000000000000000000
χ1014-4-44-2-24−4i4i2-422-24-22-41-2-2-122-21-2-1222i−2i2i−2i−4i4i2i2i−2i−2i00001-11-1−ii2i−2i−i−iii000000000000000000000000000000003-300−3i3i00000000000000000000
χ1024-4-44-2-24−4i4i2-422-24-22-41-2-2-122-21-2-1222i−2i2i−2i−4i4i2i2i−2i−2i00001-11-1−ii2i−2i−i−iii00000000000000000000000000000000-33003i−3i00000000000000000000
χ1038888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-422220000-1-1-1-12222-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ1048888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444444-2-2-2-20000-1-1-1-1-2-2-2-211110000000000000000000000000000000000000000000000000000000000
χ10588-8-8-48-400-84-44-8448-4-42-44-2444-2-42-4000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-48004-8-444-84-482-4-4-2444-242-4-4000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-40044-44444-4-4222-2-2-2-2-2-22220000006-66-60000-111-10000-33-330000000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-4-40044-44444-4-4222-2-2-2-2-2-2222000000-66-660000-111-100003-33-30000000000000000000000000000000000000000000000000000000000
χ1098-88-8-48-4008-44-4-844-84-42-4-42-444-24-240000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4800-484-44-844-82-4-42-4-44-24-2440000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-400-4-44-444444222222-2-2-2-2-2-20000006i−6i−6i6i0000-1-1110000−3i3i3i−3i0000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4-400-4-44-444444222222-2-2-2-2-2-2000000−6i6i6i−6i0000-1-11100003i−3i−3i3i0000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-48i−8i4444-4-4-444222-2-2-2222-2-2-2−4i4i−4i4i−4i4i2i2i−2i−2i0000-11-112i−2i2i−2i−i−iii0000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4−8i8i4444-4-4-444222-2-2-2222-2-2-24i−4i4i−4i4i−4i−2i−2i2i2i0000-11-11−2i2i−2i2iii−i−i0000000000000000000000000000000000000000000000000000000000

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