Finite Group Databasebeta

← Group #13168098

Character table — Group #13168098

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222444444444444444444444466668888888888889999121212121212121212121212121212121212121212121212121212121818181818182424242424242424242424243636363636365454545472727272
order12223334466666666633366666666612121212121212121212444436661212121212121212222222446666121212121212121212121212121212121212121244666666666612121212121244441212444412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-11-11-111-1-1111111-1-1111111111111-1-1-1-1-1-11-111-1-11-111-1-11-11-1-1-1-1-1-1-11-11-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-11-11-1-1111111-1-111111111111111-1-1-1-1-1-1-11-1-111-11-1-111-11-11-1-1-1-1-1-1-11-11
χ51111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-11-11-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11-111-1-1-11-11-1-11111-11-11
χ81111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-11-11-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11-1-1111-11-1-1-111111-11-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-11111-1-111-1-1-1-11111-1-1-1-111-1-1-1-11-111-1-1-11-1-111-111-111-1-111-111-1
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-11-1-1111-111-1-11-1-1111-1-1111-1-11
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11-111-1-1-11-1-1111-1-111111-1-11-1-11
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-11-1-1111-111-1-1-111-11111-1-1-111-1
χ17222222-122-122-122-1222-1-1-1-12-1-122-1-12222-1-122220000-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-10000-1-1-1-100000000000022-1-1-1-122-1-1-1-122-1-1-1-10000-1-100000000
χ18222222-122-122-122-1222-1-1-1-12-1-122-1-12222-1-122220000-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-211110000111100000000000022-1-1-1-1-2-21111-2-211110000-1-100000000
χ19222222-122-122-122-1222-1-1-1-12-1-122-1-12222-1-122220000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22-22-2-1-1110000-1-111000000000000-2-211112-2-1-1112-2-1-11100001100000000
χ20222222-122-122-122-1222-1-1-1-12-1-122-1-12222-1-122220000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-22-2211-1-1000011-1-1000000000000-2-21111-2211-1-1-2211-1-100001100000000
χ21222222-1-2-2-122-122-1222-1-1-1-12-1-122-1-1-2-2-2-211-2-2-2-20000-1-1-1-111111111222222-2-2-1-1-1-100001111000000000000-2-2-1-1-1-122-1-1-1-1-2-2111100001100000000
χ22222222-1-2-2-122-122-1222-1-1-1-12-1-122-1-1-2-2-2-211-2-2-2-20000-1-1-1-1111111112222-2-22211110000-1-1-1-1000000000000-2-2-1-1-1-1-2-2111122-1-1-1-100001100000000
χ23222222-1-2-2-122-122-1222-1-1-1-12-1-122-1-1-2-2-2-211-2-2-2-20000-1-1-1-111111111-2-2-2-22-2-22-1-111000011-1-10000000000002211112-2-1-111-2211-1-10000-1-100000000
χ24222222-1-2-2-122-122-1222-1-1-1-12-1-122-1-1-2-2-2-211-2-2-2-20000-1-1-1-111111111-2-2-2-2-222-211-1-10000-1-111000000000000221111-2211-1-12-2-1-1110000-1-100000000
χ2522222-122222-122-122-1-12-12-1-12-1-1-12-122-1-122-1-1-1-12222-1-1-1-122-1-1-1-1-1-100000202002222-1-1002222-1-1-1-1-1-1-1-1-1-10000000-100-1-10-100-1-102020000000-10-1
χ2622222-122222-122-122-1-12-12-1-12-1-1-12-122-1-122-1-1-1-12222-1-1-1-122-1-1-1-1-1-100000-20-200-2-222-1-100-2-222-1-1-1-1-1-1-1-1-1-10000000100110100110-20-20000000101
χ2722222-122222-122-122-1-12-12-1-12-1-1-12-122-1-122-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-1000002020022-2-2110022-2-211111111110000000-100-1-10-100-1-10-20-20000000101
χ2822222-122222-122-122-1-12-12-1-12-1-1-12-122-1-122-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-100000-20-200-2-2-2-21100-2-2-2-2111111111100000001001101001102020000000-10-1
χ2922222-12-2-222-122-122-1-12-12-1-12-1-1-12-1-2-211-2-2111122-2-2-1-1-1-1-2-21111110000020-2002222-1-100-2-2-2-211-1-1-1-111110000000-100-1-10100110-202000000010-1
χ3022222-12-2-222-122-122-1-12-12-1-12-1-1-12-1-2-211-2-2111122-2-2-1-1-1-1-2-211111100000-20200-2-222-1-10022-2-211-1-1-1-111110000000100110-100-1-1020-20000000-101
χ3122222-12-2-222-122-122-1-12-12-1-12-1-1-12-1-2-211-2-21111-2-222-1-1-1-1-2-21111110000020-20022-2-21100-2-222-1-11111-1-1-1-10000000-100-1-1010011020-20000000-101
χ3222222-12-2-222-122-122-1-12-12-1-12-1-1-12-1-2-211-2-21111-2-222-1-1-1-1-2-211111100000-20200-2-2-2-211002222-1-11111-1-1-1-10000000100110-100-1-10-202000000010-1
χ332222-122222-122-122-12-1-12-12-1-12-1-1-12-1-12222-1-1-1-12222-1-1-1-1-1-122-1-1-1-1000020202200-1-1222200-1-122-1-1-1-1-1-1-1-1000000-10-1-100-10-1-1002020000000-10-10
χ342222-122222-122-122-12-1-12-12-1-12-1-1-12-1-12222-1-1-1-12222-1-1-1-1-1-122-1-1-1-10000-20-20-2-200-1-122-2-200-1-122-1-1-1-1-1-1-1-1000000101100101100-20-200000001010
χ352222-122222-122-122-12-1-12-12-1-12-1-1-12-1-12222-1-1-1-1-2-2-2-2-1-1-1-1-1-122-1-1-1-100002020220011-2-2220011-2-211111111000000-10-1-100-10-1-100-20-200000001010
χ362222-122222-122-122-12-1-12-12-1-12-1-1-12-1-12222-1-1-1-1-2-2-2-2-1-1-1-1-1-122-1-1-1-10000-20-20-2-20011-2-2-2-20011-2-2111111110000001011001011002020000000-10-10
χ372222-122-2-22-122-122-12-1-12-12-1-12-1-1-1211-2-2-2-2111122-2-2-1-1-1-111-2-21111000020-202200-1-122-2-20011-2-2-1-1-1-11111000000-10-1-100101100-202000000010-10
χ382222-122-2-22-122-122-12-1-12-12-1-12-1-1-1211-2-2-2-2111122-2-2-1-1-1-111-2-211110000-2020-2-200-1-122220011-2-2-1-1-1-11111000000101100-10-1-10020-20000000-1010
χ392222-122-2-22-122-122-12-1-12-12-1-12-1-1-1211-2-2-2-21111-2-222-1-1-1-111-2-21111000020-20220011-2-2-2-200-1-1221111-1-1-1-1000000-10-1-10010110020-20000000-1010
χ402222-122-2-22-122-122-12-1-12-12-1-12-1-1-1211-2-2-2-21111-2-222-1-1-1-111-2-211110000-2020-2-20011-2-22200-1-1221111-1-1-1-1000000101100-10-1-100-202000000010-10
χ4122-2-222200-2-2-2-2222-2-2222-2-2222-2-2-2-200000000002i−2i002-2-220000000022-2-2000000002i−2i2i−2i000000002i2i−2i−2i00000022-2-20000000000000000002i−2i000000
χ4222-2-222200-2-2-2-2222-2-2222-2-2222-2-2-2-200000000002i−2i002-2-2200000000-2-222000000002i−2i2i−2i000000002i2i−2i−2i000000-2-222000000000000000000−2i2i000000
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χ714444-2-24-4-44-2-24-2-24-2-21-2-2-2-21-2-211-2-22222-4-4-1-1-1-144-4-411112222-1-1-1-1000000000000-2-2-2-2000022221111-1-1-1-100000000000000000000000000000000
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χ8044-4-4-2-2400-422-4-2-24221-2-2221-2-2-1-1220000003-33-3−4i4i001-1-1100003-33-30000000000002i−2i2i−2i00000000−i−iii−3i3i−3i3i00000000000000000000000000000000
χ8144-4-4-2-2400-422-4-2-24221-2-2221-2-2-1-122000000-33-334i−4i001-1-110000-33-33000000000000−2i2i−2i2i00000000ii−i−i−3i3i−3i3i00000000000000000000000000000000
χ8244-4-4-2-2400-422-4-2-24221-2-2221-2-2-1-122000000-33-33−4i4i001-1-110000-33-330000000000002i−2i2i−2i00000000−i−iii3i−3i3i−3i00000000000000000000000000000000
χ834-44-444-200244-2-4-42-4-44-2-222-4224-4-2-200000000000000-2-222000000004-44-4000000000000000000000000000000-22-2200000000000000000000000000
χ844-44-444-200244-2-4-42-4-44-2-222-4224-4-2-200000000000000-2-22200000000-44-440000000000000000000000000000002-22-200000000000000000000000000
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χ874-44-4-24400-4-2442-4-42-4-2-242-422-4-22-240000000000004i−4i-2-2220000000000000000000000000000−2i2i4i−4i0000−2i−2i2i2i00000000000000000000000000000000
χ884-44-4-24400-4-2442-4-42-4-2-242-422-4-22-24000000000000−4i4i-2-22200000000000000000000000000002i−2i−4i4i00002i2i−2i−2i00000000000000000000000000000000
χ894-44-4-2-2400-4-2-2422-4221-2-222-1221-1-2-20000003i−3i−3i3i004i−4i11-1-100003i−3i−3i3i00000000000000000000−2i2i−2i2i3-33-3ii−i−i00000000000000000000000000000000
χ904-44-4-2-2400-4-2-2422-4221-2-222-1221-1-2-20000003i−3i−3i3i00−4i4i11-1-100003i−3i−3i3i000000000000000000002i−2i2i−2i-33-33−i−iii00000000000000000000000000000000
χ914-44-4-2-2400-4-2-2422-4221-2-222-1221-1-2-2000000−3i3i3i−3i004i−4i11-1-10000−3i3i3i−3i00000000000000000000−2i2i−2i2i-33-33ii−i−i00000000000000000000000000000000
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χ934-4-444-244i−4i4-42-4-42-44-2-24-24-22-422-2-424i−4i−2i2i4i−4i−2i−2i2i2i0000-22-224i−4i−2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000
χ944-4-444-24−4i4i4-42-4-42-44-2-24-24-22-422-2-42−4i4i2i−2i−4i4i2i2i−2i−2i0000-22-22−4i4i2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000
χ954-4-444-2-24i−4i-2-422-4224-2-2-21-2122-12-22-14i−4i−2i2i−2i2i−2i−2i2i2i00001-11-1−2i2ii−iii−i−i0000000000−2i32i300000023−230000000000000000000000i3−i30000−3300000000000000
χ964-4-444-2-24i−4i-2-422-4224-2-2-21-2122-12-22-14i−4i−2i2i−2i2i−2i−2i2i2i00001-11-1−2i2ii−iii−i−i00000000002i3−2i3000000−23230000000000000000000000−i3i300003−300000000000000
χ974-4-444-2-2−4i4i-2-422-4224-2-2-21-2122-12-22-1−4i4i2i−2i2i−2i2i2i−2i−2i00001-11-12i−2i−ii−i−iii0000000000−2i32i3000000−23230000000000000000000000i3−i300003−300000000000000
χ984-4-444-2-2−4i4i-2-422-4224-2-2-21-2122-12-22-1−4i4i2i−2i2i−2i2i2i−2i−2i00001-11-12i−2i−ii−i−iii00000000002i3−2i300000023−230000000000000000000000−i3i30000−3300000000000000
χ994-4-44-2444i−4i42-4-42-4-4-24-2-24-2422-42-22-4−2i2i4i−4i4i−4i−2i−2i2i2i0000-22-22−2i2i4i−4i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000
χ1004-4-44-244−4i4i42-4-42-4-4-24-2-24-2422-42-22-42i−2i−4i4i−4i4i2i2i−2i−2i0000-22-222i−2i−4i4i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-24-24i−4i-22-422-42-24-21-21-22-122-2-12−2i2i4i−4i−2i2i−2i−2i2i2i00001-11-1i−i−2i2iii−i−i00000000−2i32i300000023−230000000000000000000000i3−i30000−330000000000000000
χ1024-4-44-24-24i−4i-22-422-42-24-21-21-22-122-2-12−2i2i4i−4i−2i2i−2i−2i2i2i00001-11-1i−i−2i2iii−i−i000000002i3−2i3000000−23230000000000000000000000−i3i300003−30000000000000000
χ1034-4-44-24-2−4i4i-22-422-42-24-21-21-22-122-2-122i−2i−4i4i2i−2i2i2i−2i−2i00001-11-1−ii2i−2i−i−iii00000000−2i32i3000000−23230000000000000000000000i3−i300003−30000000000000000
χ1044-4-44-24-2−4i4i-22-422-42-24-21-21-22-122-2-122i−2i−4i4i2i−2i2i2i−2i−2i00001-11-1−ii2i−2i−i−iii000000002i3−2i300000023−230000000000000000000000−i3i30000−330000000000000000
χ1054-4-44-2-244i−4i422-422-4-2-21-2-2-2-2-122-1122−2i2i−2i2i4i−4iii−i−i00001-11-1−2i2i−2i2iii−i−i0000000000000000000000003i−3i−3i3i-333-300000000000000000000000000000000
χ1064-4-44-2-244i−4i422-422-4-2-21-2-2-2-2-122-1122−2i2i−2i2i4i−4iii−i−i00001-11-1−2i2i−2i2iii−i−i000000000000000000000000−3i3i3i−3i3-3-3300000000000000000000000000000000
χ1074-4-44-2-24−4i4i422-422-4-2-21-2-2-2-2-122-11222i−2i2i−2i−4i4i−i−iii00001-11-12i−2i2i−2i−i−iii0000000000000000000000003i−3i−3i3i3-3-3300000000000000000000000000000000
χ1084-4-44-2-24−4i4i422-422-4-2-21-2-2-2-2-122-11222i−2i2i−2i−4i4i−i−iii00001-11-12i−2i2i−2i−i−iii000000000000000000000000−3i3i3i−3i-333-300000000000000000000000000000000
χ1098888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-422220000-1-1-1-12222-1-1-1-10000000000000000000000000000000000000000000000000000000000000000
χ1108888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444444-2-2-2-20000-1-1-1-1-2-2-2-211110000000000000000000000000000000000000000000000000000000000000000
χ11188-8-88-4-4004-8448-4-4-84-4-424-2-4-42444-2000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-48-40044-84-48-44-8-42-4-24-42-444-24000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ11388-8-8-4-4-4004444-4-4-444222-2-2222-2-2-2-20000006-66-60000-111-10000-33-330000000000000000000000000000000000000000000000000000000000000000
χ11488-8-8-4-4-4004444-4-4-444222-2-2222-2-2-2-2000000-66-660000-111-100003-33-30000000000000000000000000000000000000000000000000000000000000000
χ1158-88-88-4-40048-4-4-844-84-4-424-244-2-44-420000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-8-48-4004-48-44-844-8-42-4-244-24-442-40000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-88-8-4-4-4004-4-4-444444222-2-2-2-2-22-2220000006i−6i−6i6i0000-1-1110000−3i3i3i−3i0000000000000000000000000000000000000000000000000000000000000000
χ1188-88-8-4-4-4004-4-4-444444222-2-2-2-2-22-222000000−6i6i6i−6i0000-1-11100003i−3i−3i3i0000000000000000000000000000000000000000000000000000000000000000
χ1198-8-88-4-4-48i−8i-4444444-4-422222-2-2-2-22-2-2−4i4i−4i4i−4i4i2i2i−2i−2i0000-11-112i−2i2i−2i−i−iii0000000000000000000000000000000000000000000000000000000000000000
χ1208-8-88-4-4-4−8i8i-4444444-4-422222-2-2-2-22-2-24i−4i4i−4i4i−4i−2i−2i2i2i0000-11-11−2i2i−2i2iii−i−i0000000000000000000000000000000000000000000000000000000000000000

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