Finite Group Databasebeta

← Group #13168662

Character table — Group #13168662

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222224444444444444444444444666688888888888812121212121212121212121212121212121212121818181824242424242424242424242424242424272727273636363636363636545472727272
order12223334466666666633366666666612121212121212121212444436661212121212121212444412121212121212121212121212121212444412121212121212121212121212121212444422441212121222661212
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
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-111
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-111111-1-1-1-11111-1-1-1-111-1-1-111-1-111-111-1-1-1-111-1-1-1-1-111-1-1-11111-111-1
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-111-11111-1-1-1-11111-1-1-1-111-1-11-1-111-1-11-1-11111-1-1-1-1-1-11-1-11-1-111111-1-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-1111111-1-1-111-1-111-111-1-1-1-11111111-1-11-1-111-1-11-1-11
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1111111-1-11-1-111-1-11-1-11111-1-11111-111-1-1-111-1-1-111-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111
χ17222222-1222-12-1222-122-1-12-1-12-1-1-12-122-1-122-1-1-1-12222-1-1-1-122-1-1-1-1-1-1020222-1-122-1-1-1-1-1-1-1-1-1-100000-10-1020200-1-100-1-1000002020000000-10-1
χ18222222-1222-12-1222-122-1-12-1-12-1-1-12-122-1-122-1-1-1-12222-1-1-1-122-1-1-1-1-1-10-20-222-1-122-1-1-1-1-1-1-1-1-1-1000001010-20-20011001100000-20-20000000101
χ19222222-1222-12-1222-122-1-12-1-12-1-1-12-122-1-122-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-10202-2-211-2-2111111111100000-10-1020200-1-100-1-100000-20-20000000101
χ20222222-1222-12-1222-122-1-12-1-12-1-1-12-122-1-122-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-10-20-2-2-211-2-21111111111000001010-20-200110011000002020000000-10-1
χ21222222-1-2-22-12-1222-122-1-12-1-12-1-1-12-1-2-211-2-2111122-2-2-1-1-1-1-2-2111111020-222-1-1-2-211-1-1-1-111110000010-10-20200-1-1001100000-202000000010-1
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χ23222222-1-2-22-12-1222-122-1-12-1-12-1-1-12-1-2-211-2-21111-2-222-1-1-1-1-2-2111111020-2-2-21122-1-11111-1-1-1-10000010-10-20200-1-100110000020-20000000-101
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χ2522222-1222-12-1222-122-12-1-12-1-12-1-1-12-1-12222-1-1-1-12222-1-1-1-1-1-122-1-1-1-12020-1-122-1-122-1-1-1-1-1-1-1-10000-10-102020-1-100-1-10000002020000000-10-10
χ2622222-1222-12-1222-122-12-1-12-1-12-1-1-12-1-12222-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-20-20-1-122-1-122-1-1-1-1-1-1-1-100001010-20-20110011000000-20-200000001010
χ2722222-1222-12-1222-122-12-1-12-1-12-1-1-12-1-12222-1-1-1-1-2-2-2-2-1-1-1-1-1-122-1-1-1-1202011-2-211-2-2111111110000-10-102020-1-100-1-1000000-20-200000001010
χ2822222-1222-12-1222-122-12-1-12-1-12-1-1-12-1-12222-1-1-1-1-2-2-2-2-1-1-1-1-1-122-1-1-1-1-20-2011-2-211-2-21111111100001010-20-201100110000002020000000-10-10
χ2922222-12-2-2-12-1222-122-12-1-12-1-12-1-1-1211-2-2-2-2111122-2-2-1-1-1-111-2-2111120-20-1-12211-2-2-1-1-1-11111000010-10-2020-1-10011000000-202000000010-10
χ3022222-12-2-2-12-1222-122-12-1-12-1-12-1-1-1211-2-2-2-2111122-2-2-1-1-1-111-2-21111-2020-1-12211-2-2-1-1-1-111110000-101020-201100-1-100000020-20000000-1010
χ3122222-12-2-2-12-1222-122-12-1-12-1-12-1-1-1211-2-2-2-21111-2-222-1-1-1-111-2-2111120-2011-2-2-1-1221111-1-1-1-1000010-10-2020-1-1001100000020-20000000-1010
χ3222222-12-2-2-12-1222-122-12-1-12-1-12-1-1-1211-2-2-2-21111-2-222-1-1-1-111-2-21111-202011-2-2-1-1221111-1-1-1-10000-101020-201100-1-1000000-202000000010-10
χ332222-122222222-1-122-1-1-12-1-12-1-122-1-12222-1-122220000-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000022222222-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1000000
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χ352222-122222222-1-122-1-1-12-1-12-1-122-1-12222-1-122220000-1-1-1-1-1-1-1-1-1-1-1-1-22-220000000000000000-2-2-2-2-22-221-11-111-1-111-1-1000000001111000000
χ362222-122222222-1-122-1-1-12-1-12-1-122-1-12222-1-122220000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000000000002222-2-2-2-211111111111100000000-1-1-1-1000000
χ372222-122-2-22222-1-122-1-1-12-1-12-1-122-1-1-2-2-2-211-2-2-2-20000-1-1-1-11111111122-2-20000000000000000-2-222-2-22211-1-1-1-1-1-1111100000000-1-111000000
χ382222-122-2-22222-1-122-1-1-12-1-12-1-122-1-1-2-2-2-211-2-2-2-20000-1-1-1-1111111112-2-22000000000000000022-2-2-222-21-1-11-1-11111-1-10000000011-1-1000000
χ392222-122-2-22222-1-122-1-1-12-1-12-1-122-1-1-2-2-2-211-2-2-2-20000-1-1-1-111111111-222-2000000000000000022-2-22-2-22-111-111-1-1-1-1110000000011-1-1000000
χ402222-122-2-22222-1-122-1-1-12-1-12-1-122-1-1-2-2-2-211-2-2-2-20000-1-1-1-111111111-2-2220000000000000000-2-22222-2-2-1-1111111-1-1-1-100000000-1-111000000
χ4122-2-22222i−2i-2-222-2-2-2-22222-2-2-2222-2-2-22i−2i2i−2i2i−2i2i2i−2i−2i000022-2-22i−2i2i−2i2i2i−2i−2i00000000000000000000000000000000000000002i2i−2i−2i000000002-20000
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χ4322-2-2222−2i2i-2-222-2-2-2-22222-2-2-2222-2-2-2−2i2i−2i2i−2i2i−2i−2i2i2i000022-2-2−2i2i−2i2i−2i−2i2i2i00000000000000000000000000000000000000002i2i−2i−2i00000000-220000
χ4422-2-2222−2i2i-2-222-2-2-2-22222-2-2-2222-2-2-2−2i2i−2i2i−2i2i−2i−2i2i2i000022-2-2−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000000000−2i−2i2i2i000000002-20000
χ452-22-222200-2-2-2-2-2222-222222-2-2-2-22-2-200000000002i−2i002-22-20000000000002i−2i2i−2i00002i2i−2i−2i0000002-200000000000000002i−2i2i−2i00002-200000000
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χ834-44-444-200-42-42-444-2-44-2-24-22-422-2-4200000000004i−4i00-22-220000000000004i−4i−2i2i0000−2i−2i2i2i000000000000000000000000000000000000000000
χ844-44-444-200-42-42-444-2-44-2-24-22-422-2-420000000000−4i4i00-22-22000000000000−4i4i2i−2i00002i2i−2i−2i000000000000000000000000000000000000000000
χ854-44-44-24002-42-4-44-24-4-24-2-2422-42-22-400000000004i−4i00-22-22000000000000−2i2i4i−4i0000−2i−2i2i2i000000000000000000000000000000000000000000
χ864-44-44-24002-42-4-44-24-4-24-2-2422-42-22-40000000000−4i4i00-22-220000000000002i−2i−4i4i00002i2i−2i−2i000000000000000000000000000000000000000000
χ874-44-44-2-2002222-44-2-2-4-2-21-2-2-122-11220000003i−3i3i−3i4i−4i001-11-100003i−3i3i−3i0000−2i2i−2i2i0000ii−i−i3-3-3300000000000000000000000000000000000000
χ884-44-44-2-2002222-44-2-2-4-2-21-2-2-122-11220000003i−3i3i−3i−4i4i001-11-100003i−3i3i−3i00002i−2i2i−2i0000−i−iii-333-300000000000000000000000000000000000000
χ894-44-44-2-2002222-44-2-2-4-2-21-2-2-122-1122000000−3i3i−3i3i4i−4i001-11-10000−3i3i−3i3i0000−2i2i−2i2i0000ii−i−i-333-300000000000000000000000000000000000000
χ904-44-44-2-2002222-44-2-2-4-2-21-2-2-122-1122000000−3i3i−3i3i−4i4i001-11-10000−3i3i−3i3i00002i−2i2i−2i0000−i−iii3-3-3300000000000000000000000000000000000000
χ914-44-4-24400-4-4-4-42-2442-2-24-2-2-422-442200000000000000-22-220000000000000000000000000000004-4000000000000000000000000-2200000000
χ924-44-4-24400-4-4-4-42-2442-2-24-2-2-422-442200000000000000-22-22000000000000000000000000000000-440000000000000000000000002-200000000
χ934-4-4444-2004-2-424-4-42-44-2-2-42-2-42224-20000000000004i−4i-222-200000000000000004i−4i−2i2i0000−2i−2i2i2i00000000000000000000000000000000000000
χ944-4-4444-2004-2-424-4-42-44-2-2-42-2-42224-2000000000000−4i4i-222-20000000000000000−4i4i2i−2i00002i2i−2i−2i00000000000000000000000000000000000000
χ954-4-444-2400-242-44-42-4-4-24-22-4-22-422-240000000000004i−4i-222-20000000000000000−2i2i4i−4i0000−2i−2i2i2i00000000000000000000000000000000000000
χ964-4-444-2400-242-44-42-4-4-24-22-4-22-422-24000000000000−4i4i-222-200000000000000002i−2i−4i4i00002i2i−2i−2i00000000000000000000000000000000000000
χ974-4-444-2-200-2-2224-422-4-2-2122122-1-1-2-20000003-3-33004i−4i1-1-1100003-3-3300000000−2i2i−2i2i−3i3i3i−3iii−i−i00000000000000000000000000000000000000
χ984-4-444-2-200-2-2224-422-4-2-2122122-1-1-2-20000003-3-3300−4i4i1-1-1100003-3-33000000002i−2i2i−2i3i−3i−3i3i−i−iii00000000000000000000000000000000000000
χ994-4-444-2-200-2-2224-422-4-2-2122122-1-1-2-2000000-333-3004i−4i1-1-110000-333-300000000−2i2i−2i2i3i−3i−3i3iii−i−i00000000000000000000000000000000000000
χ1004-4-444-2-200-2-2224-422-4-2-2122122-1-1-2-2000000-333-300−4i4i1-1-110000-333-3000000002i−2i2i−2i−3i3i3i−3i−i−iii00000000000000000000000000000000000000
χ1014-4-44-2440044-4-4-22-4-42-2-2422422-4-4-2-200000000000000-222-200000000000000000000000000004i−4i0000000000000000000000000000−2i2i000000
χ1024-4-44-2440044-4-4-22-4-42-2-2422422-4-4-2-200000000000000-222-20000000000000000000000000000−4i4i00000000000000000000000000002i−2i000000
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
χ10588-8-8-4-4-48i−8i44-4-44444-4222-2-2-2222-2-2-2−4i4i−4i4i−4i4i2i2i−2i−2i0000-1-1112i−2i2i−2i−i−iii0000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-4−8i8i44-4-44444-4222-2-2-2222-2-2-24i−4i4i−4i4i−4i−2i−2i2i2i0000-1-111−2i2i−2i2iii−i−i0000000000000000000000000000000000000000000000000000000000
χ1078-88-8-48-400-84-844-48-44-42-4-4244-24-44-2000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-48004-84-84-4-4842-4-42-44-244-4-24000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4-40044444-4-4-4422222-2-2-2-22-2-20000006i−6i6i−6i0000-11-110000−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-40044444-4-4-4422222-2-2-2-22-2-2000000−6i6i−6i6i0000-11-1100003i−3i3i−3i0000000000000000000000000000000000000000000000000000000000
χ1118-8-88-48-4008-4-84-44-844-42-44-2-44-244-42000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-4800-484-8-444-842-4-4-24-4-24442-4000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-400-4-444-44444222-2-22-2-2-2-2220000006-6-660000-111-10000-333-30000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-400-4-444-44444222-2-22-2-2-2-222000000-666-60000-111-100003-3-330000000000000000000000000000000000000000000000000000000000

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