Finite Group Databasebeta

← Group #13168251

Character table — Group #13168251

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222444444444444444444444466668888888888889999121212121212121212121212121212121212121212121212121212121818181818182424242424242424242424243636363636365454545472727272
order1222333446666666663336666666661212121212121212121244443666121212121212121222224444121212121212121212121212121212121212121212121212446666121212121212121212121212224412124444661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-11-11-1111111-1-1111111-1-111111111-1-1-1-1-1-11-11-111-1-111-1-11-11-1-1-1-1-1-1-11-11-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-11-111111-1-1111111-1-11111111111-1-1-1-1-1-1-11-11-1-111-1-111-11-11-1-1-1-1-1-1-11-11
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
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
χ71111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-11-11-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1-11-11-1-11111-11-11
χ81111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-11-11-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1111-11-1-1-111111-11-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-111-1-1-1-111
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-111-1-1-1-111-1-11111-1-1-1-111-1-1-1-11-1-11-1-11111-1-11-1-1111-1-1111-1-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-111-111-1-1-1-111-111-111-1-111-111-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-111
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-11-1-11-1-11111-1-1-111-11111-1-1-111-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-111-1-1-1-1111111-1-1-1-1-111-111-1-1-1-1111-1-111111-1-11-1-11
χ17222222-12222-122-12-122-1-12-1-12-1-1-12-122-1-122-1-1-1-12222-1-1-1-122-1-1-1-1-1-10000020222-1-1002222-1-10022-1-1-1-1-1-1-1-10000000-10-100-1-100-1-102020000000-10-1
χ18222222-12222-122-12-122-1-12-1-12-1-1-12-122-1-122-1-1-1-12222-1-1-1-122-1-1-1-1-1-100000-20-222-1-100-2-222-1-100-2-2-1-1-1-1-1-1-1-10000000101001100110-20-20000000101
χ19222222-12222-122-12-122-1-12-1-12-1-1-12-122-1-122-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-100000202-2-2110022-2-2110022111111110000000-10-100-1-100-1-10-20-20000000101
χ20222222-12222-122-12-122-1-12-1-12-1-1-12-122-1-122-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-100000-20-2-2-21100-2-2-2-21100-2-21111111100000001010011001102020000000-10-1
χ21222222-1-2-222-122-12-122-1-12-1-12-1-1-12-1-2-211-2-2111122-2-2-1-1-1-1-2-21111110000020-222-1-100-2-2-2-2110022-1-1-1-111110000000-101001100-1-1020-20000000-101
χ22222222-1-2-222-122-12-122-1-12-1-12-1-1-12-1-2-211-2-2111122-2-2-1-1-1-1-2-211111100000-20222-1-10022-2-21100-2-2-1-1-1-11111000000010-100-1-100110-202000000010-1
χ23222222-1-2-222-122-12-122-1-12-1-12-1-1-12-1-2-211-2-21111-2-222-1-1-1-1-2-21111110000020-2-2-21100-2-222-1-100221111-1-1-1-10000000-101001100-1-10-202000000010-1
χ24222222-1-2-222-122-12-122-1-12-1-12-1-1-12-1-2-211-2-21111-2-222-1-1-1-1-2-211111100000-202-2-211002222-1-100-2-21111-1-1-1-1000000010-100-1-10011020-20000000-101
χ2522222-12222-122-12-122-12-1-12-1-12-1-1-12-1-12222-1-1-1-12222-1-1-1-1-1-122-1-1-1-100002020-1-1222200-1-1222200-1-1-1-1-1-1-1-1000000-10-10-1-100-1-1002020000000-10-10
χ2622222-12222-122-12-122-12-1-12-1-12-1-1-12-1-12222-1-1-1-12222-1-1-1-1-1-122-1-1-1-10000-20-20-1-122-2-200-1-122-2-200-1-1-1-1-1-1-1-1000000101011001100-20-200000001010
χ2722222-12222-122-12-122-12-1-12-1-12-1-1-12-1-12222-1-1-1-1-2-2-2-2-1-1-1-1-1-122-1-1-1-10000202011-2-2220011-2-2220011111111000000-10-10-1-100-1-100-20-200000001010
χ2822222-12222-122-12-122-12-1-12-1-12-1-1-12-1-12222-1-1-1-1-2-2-2-2-1-1-1-1-1-122-1-1-1-10000-20-2011-2-2-2-20011-2-2-2-200111111110000001010110011002020000000-10-10
χ2922222-12-2-22-122-12-122-12-1-12-1-12-1-1-1211-2-2-2-2111122-2-2-1-1-1-111-2-21111000020-20-1-122-2-20011-2-22200-1-1-1-11111000000-10101100-1-10020-20000000-1010
χ3022222-12-2-22-122-12-122-12-1-12-1-12-1-1-1211-2-2-2-2111122-2-2-1-1-1-111-2-211110000-2020-1-122220011-2-2-2-200-1-1-1-1111100000010-10-1-1001100-202000000010-10
χ3122222-12-2-22-122-12-122-12-1-12-1-12-1-1-1211-2-2-2-21111-2-222-1-1-1-111-2-21111000020-2011-2-2-2-200-1-12222001111-1-1-1-1000000-10101100-1-100-202000000010-10
χ3222222-12-2-22-122-12-122-12-1-12-1-12-1-1-1211-2-2-2-21111-2-222-1-1-1-111-2-211110000-202011-2-22200-1-122-2-2001111-1-1-1-100000010-10-1-100110020-20000000-1010
χ332222-12222-122-12222-1-1-12-1-12-1-122-1-12222-1-122220000-1-1-1-1-1-1-1-1-1-1-1-1222222220000-1-1-1-10000-1-1-1-10000000022-1-1-1-12222-1-1-1-1-1-1-1-10000-1-100000000
χ342222-12222-122-12222-1-1-12-1-12-1-122-1-12222-1-122220000-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-200001111000011110000000022-1-1-1-1-2-2-2-2111111110000-1-100000000
χ352222-12222-122-12222-1-1-12-1-12-1-122-1-12222-1-122220000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22-22-20000-1-1110000-1-11100000000-2-211112-22-2-1-111-1-11100001100000000
χ362222-12222-122-12222-1-1-12-1-12-1-122-1-12222-1-122220000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-22-22000011-1-1000011-1-100000000-2-21111-22-2211-1-111-1-100001100000000
χ372222-122-2-2-122-12222-1-1-12-1-12-1-122-1-1-2-2-2-211-2-2-2-20000-1-1-1-111111111222222-2-2000011110000-1-1-1-100000000-2-2-1-1-1-122-2-21111-1-1-1-100001100000000
χ382222-122-2-2-122-12222-1-1-12-1-12-1-122-1-1-2-2-2-211-2-2-2-20000-1-1-1-1111111112222-2-2220000-1-1-1-10000111100000000-2-2-1-1-1-1-2-222-1-1-1-1111100001100000000
χ392222-122-2-2-122-12222-1-1-12-1-12-1-122-1-1-2-2-2-211-2-2-2-20000-1-1-1-111111111-2-2-2-22-2-22000011-1-10000-1-111000000002211112-2-2211-1-1-1-1110000-1-100000000
χ402222-122-2-2-122-12222-1-1-12-1-12-1-122-1-1-2-2-2-211-2-2-2-20000-1-1-1-111111111-2-2-2-2-222-20000-1-111000011-1-100000000221111-222-2-1-11111-1-10000-1-100000000
χ4122-2-222200-222-2-2-2-2-22222-2-22-2-2-2-2220000000000002i−2i2-2-220000000022-2-20000000000002i−2i2i−2i000000002i2i−2i−2i0022-2-2000000000000000000002i−2i0000
χ4222-2-222200-222-2-2-2-2-22222-2-22-2-2-2-2220000000000002i−2i2-2-2200000000-2-2220000000000002i−2i2i−2i000000002i2i−2i−2i00-2-22200000000000000000000−2i2i0000
χ4322-2-222200-222-2-2-2-2-22222-2-22-2-2-2-222000000000000−2i2i2-2-220000000022-2-2000000000000−2i2i−2i2i00000000−2i−2i2i2i0022-2-200000000000000000000−2i2i0000
χ4422-2-222200-222-2-2-2-2-22222-2-22-2-2-2-222000000000000−2i2i2-2-2200000000-2-222000000000000−2i2i−2i2i00000000−2i−2i2i2i00-2-222000000000000000000002i−2i0000
χ452-22-22222i−2i-2-2-2222-2-2-2222-2-2-2222-2-2-22i−2i2i−2i2i−2i2i2i−2i−2i000022-2-22i−2i2i−2i2i2i−2i−2i2-22-200000000000000000000000000002i−2i2-22-200000000000000002i−2i00000000
χ462-22-22222i−2i-2-2-2222-2-2-2222-2-2-2222-2-2-22i−2i2i−2i2i−2i2i2i−2i−2i000022-2-22i−2i2i−2i2i2i−2i−2i-22-220000000000000000000000000000−2i2i-22-220000000000000000−2i2i00000000
χ472-22-2222−2i2i-2-2-2222-2-2-2222-2-2-2222-2-2-2−2i2i−2i2i−2i2i−2i−2i2i2i000022-2-2−2i2i−2i2i−2i−2i2i2i2-22-20000000000000000000000000000−2i2i2-22-20000000000000000−2i2i00000000
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χ492-22-2-1222i−2i1-2-2-122-2-21-1-1211-2-1-12-2112i−2i2i−2i−ii2i2i−2i−2i0000-1-111−ii−ii−i−iii2-22-200000000−i3i3−i3i300003−33−3000000002i−2i-11-110000−i3i3−i3i33−33−30000−ii00000000
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χ7944-4-44-2-200-4-2-2-422224-2-2122122-1-1-2-2000000-33-33004i−4i1-1-110000-33-330000000000000000−2i2i−2i2i0000−3i3i−3i3iii−i−i00000000000000000000000000000000
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χ934-44-4-24-2−4i4i2-42-24-2-422-21-22-12-21-222-1−4i4i2i−2i2i−2i2i2i−2i−2i000011-1-12i−2i−ii−i−iii00000000000000−2i32i3000000−232300000000000000000000i3−i3003−300000000000000
χ944-44-4-24-2−4i4i2-42-24-2-422-21-22-12-21-222-1−4i4i2i−2i2i−2i2i2i−2i−2i000011-1-12i−2i−ii−i−iii000000000000002i3−2i300000023−2300000000000000000000−i3i300−3300000000000000
χ954-44-4-2-244i−4i22-4-2-242-421-2-2-1221-2-22-12−2i2i4i−4i−2i2i−2i−2i2i2i000011-1-1i−i−2i2iii−i−i000000000000−2i32i300000023−2300000000000000000000i3−i300−330000000000000000
χ964-44-4-2-244i−4i22-4-2-242-421-2-2-1221-2-22-12−2i2i4i−4i−2i2i−2i−2i2i2i000011-1-1i−i−2i2iii−i−i0000000000002i3−2i3000000−232300000000000000000000−i3i3003−30000000000000000
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χ1024-4-444-240042-4-42-4-24-4-24-2-2422-42-22-40000000000−4i4i00-22-2200000000000000002i−2i−4i4i0000000000002i2i−2i−2i000000000000000000000000000000000000
χ1034-4-444-2-200422-422-2-2-4-2-21-2-2-122-11220000003i−3i−3i3i4i−4i001-11-100003i−3i−3i3i00000000−2i2i−2i2i000000000000ii−i−i-333-300000000000000000000000000000000
χ1044-4-444-2-200422-422-2-2-4-2-21-2-2-122-11220000003i−3i−3i3i−4i4i001-11-100003i−3i−3i3i000000002i−2i2i−2i000000000000−i−iii3-3-3300000000000000000000000000000000
χ1054-4-444-2-200422-422-2-2-4-2-21-2-2-122-1122000000−3i3i3i−3i4i−4i001-11-10000−3i3i3i−3i00000000−2i2i−2i2i000000000000ii−i−i3-3-3300000000000000000000000000000000
χ1064-4-444-2-200422-422-2-2-4-2-21-2-2-122-1122000000−3i3i3i−3i−4i4i001-11-10000−3i3i3i−3i000000002i−2i2i−2i000000000000−i−iii-333-300000000000000000000000000000000
χ1074-4-44-24400-2-4-42-4-4442-2-24-2-2-422-442200000000000000-22-22000000004-4-44000000000000000000000000000000-222-200000000000000000000000000
χ1084-4-44-24400-2-4-42-4-4442-2-24-2-2-422-442200000000000000-22-2200000000-444-40000000000000000000000000000002-2-2200000000000000000000000000
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
χ11188-8-8-48-40048-44-84-84-4-42-44-2-44-244-42000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-4-48004-4844-84-8-42-4-4-24-4-24442-4000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ11388-8-8-4-4-4004-4-444444-4222-2-22-2-2-2-2220000006-66-60000-111-10000-33-330000000000000000000000000000000000000000000000000000000000000000
χ11488-8-8-4-4-4004-4-444444-4222-2-22-2-2-2-222000000-66-660000-111-100003-33-30000000000000000000000000000000000000000000000000000000000000000
χ1158-88-8-4-4-48i−8i444-4-4-4444222-2-2-2222-2-2-2−4i4i−4i4i−4i4i2i2i−2i−2i0000-1-1112i−2i2i−2i−i−iii0000000000000000000000000000000000000000000000000000000000000000
χ1168-88-8-4-4-4−8i8i444-4-4-4444222-2-2-2222-2-2-24i−4i4i−4i4i−4i−2i−2i2i2i0000-1-111−2i2i−2i2iii−i−i0000000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-48-400-4-844-848-44-42-4-4244-24-44-2000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-8-88-4-4800-44-844-8-4842-4-42-44-244-4-24000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-88-4-4-400-444444-4-4422222-2-2-2-22-2-20000006i−6i−6i6i0000-11-110000−3i3i3i−3i0000000000000000000000000000000000000000000000000000000000000000
χ1208-8-88-4-4-400-444444-4-4422222-2-2-2-22-2-2000000−6i6i6i−6i0000-11-1100003i−3i−3i3i0000000000000000000000000000000000000000000000000000000000000000

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