Finite Group Databasebeta

← Group #13169406

Character table — Group #13169406

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222224444444444444444444444666688888888888812121212121212121212121212121212121212121818181824242424242424242424242424242424272727273636363636363636545472727272
order12223334466666666633366666666612121212121212121212444436661212121212121212444412121212121212121212121212121212224412121212121212121212121212121212444444446612124412121212
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
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-111111-1-1-1-11111-1-1-1-111-1-1-111-1-111-1-1-11111-1-111111-1-1111-1-1-1-11-1-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-111-11111-1-1-1-11111-1-1-1-111-1-11-1-111-1-1111-1-1-1-1111111-111-111-1-1-1-1-111-1
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1-1-111111111-1-111-1-111-1-1-1-111
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-1111111-1-1-111-1-111-1-1-11111-1-1-1-1-1-1-111-111-1-111-111-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1111111-1-11-1-111-1-1111-1-1-1-111-1-1-1-11-1-1111-1-1111-1-11
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-1
χ17222222-122-122-12222-12-1-1-1-1222-1-1-1-12222-1-122220000-1-1-1-1-1-1-1-1-1-1-1-1222200000000000000002222-1-12222-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1000000
χ18222222-122-122-12222-12-1-1-1-1222-1-1-1-12222-1-122220000-1-1-1-1-1-1-1-1-1-1-1-12-22-20000000000000000-2-2-2-2-112-22-2-11-1-111-1-111000000001111000000
χ19222222-122-122-12222-12-1-1-1-1222-1-1-1-12222-1-122220000-1-1-1-1-1-1-1-1-1-1-1-1-22-220000000000000000-2-2-2-21-1-22-221-111-1-111-1-1000000001111000000
χ20222222-122-122-12222-12-1-1-1-1222-1-1-1-12222-1-122220000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000000000222211-2-2-2-2111111111100000000-1-1-1-1000000
χ21222222-1-2-2-122-12222-12-1-1-1-1222-1-1-1-1-2-2-2-211-2-2-2-20000-1-1-1-11111111122-2-20000000000000000-2-2221122-2-2-1-11111-1-1-1-10000000011-1-1000000
χ22222222-1-2-2-122-12222-12-1-1-1-1222-1-1-1-1-2-2-2-211-2-2-2-20000-1-1-1-1111111112-2-22000000000000000022-2-21-12-2-22-1111-1-1-1-11100000000-1-111000000
χ23222222-1-2-2-122-12222-12-1-1-1-1222-1-1-1-1-2-2-2-211-2-2-2-20000-1-1-1-111111111-222-2000000000000000022-2-2-11-222-21-1-1-11111-1-100000000-1-111000000
χ24222222-1-2-2-122-12222-12-1-1-1-1222-1-1-1-1-2-2-2-211-2-2-2-20000-1-1-1-111111111-2-2220000000000000000-2-222-1-1-2-22211-1-1-1-111110000000011-1-1000000
χ2522222-122222-122-12-12-12-12-1-1-1-12-12-122-1-122-1-1-1-12222-1-1-1-122-1-1-1-1-1-1020222-1-122-1-1-1-1-1-1-1-1-1-10000020-10-10200-1-100-1-1000002020000000-10-1
χ2622222-122222-122-12-12-12-12-1-1-1-12-12-122-1-122-1-1-1-12222-1-1-1-122-1-1-1-1-1-10-20-222-1-122-1-1-1-1-1-1-1-1-1-100000-201010-20011001100000-20-20000000101
χ2722222-122222-122-12-12-12-12-1-1-1-12-12-122-1-122-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-10202-2-211-2-211111111110000020-10-10200-1-100-1-100000-20-20000000101
χ2822222-122222-122-12-12-12-12-1-1-1-12-12-122-1-122-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-10-20-2-2-211-2-2111111111100000-201010-200110011000002020000000-10-1
χ2922222-12-2-222-122-12-12-12-12-1-1-1-12-12-1-2-211-2-2111122-2-2-1-1-1-1-2-2111111020-222-1-1-2-211-1-1-1-1111100000-20-10102001100-1-10000020-20000000-101
χ3022222-12-2-222-122-12-12-12-12-1-1-1-12-12-1-2-211-2-2111122-2-2-1-1-1-1-2-21111110-20222-1-1-2-211-1-1-1-11111000002010-10-200-1-1001100000-202000000010-1
χ3122222-12-2-222-122-12-12-12-12-1-1-1-12-12-1-2-211-2-21111-2-222-1-1-1-1-2-2111111020-2-2-21122-1-11111-1-1-1-100000-20-10102001100-1-100000-202000000010-1
χ3222222-12-2-222-122-12-12-12-12-1-1-1-12-12-1-2-211-2-21111-2-222-1-1-1-1-2-21111110-202-2-21122-1-11111-1-1-1-1000002010-10-200-1-100110000020-20000000-101
χ332222-122222-122-12-122-1-12-12-1-1-1-12-12-1-12222-1-1-1-12222-1-1-1-1-1-122-1-1-1-12020-1-122-1-122-1-1-1-1-1-1-1-1000020-10-1020-1-100-1-10000002020000000-10-10
χ342222-122222-122-12-122-1-12-12-1-1-1-12-12-1-12222-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-20-20-1-122-1-122-1-1-1-1-1-1-1-10000-201010-20110011000000-20-200000001010
χ352222-122222-122-12-122-1-12-12-1-1-1-12-12-1-12222-1-1-1-1-2-2-2-2-1-1-1-1-1-122-1-1-1-1202011-2-211-2-211111111000020-10-1020-1-100-1-1000000-20-200000001010
χ362222-122222-122-12-122-1-12-12-1-1-1-12-12-1-12222-1-1-1-1-2-2-2-2-1-1-1-1-1-122-1-1-1-1-20-2011-2-211-2-2111111110000-201010-201100110000002020000000-10-10
χ372222-122-2-22-122-12-122-1-12-12-1-1-1-12-1211-2-2-2-2111122-2-2-1-1-1-111-2-2111120-20-1-12211-2-2-1-1-1-111110000-20-1010201100-1-100000020-20000000-1010
χ382222-122-2-22-122-12-122-1-12-12-1-1-1-12-1211-2-2-2-2111122-2-2-1-1-1-111-2-21111-2020-1-12211-2-2-1-1-1-1111100002010-10-20-1-10011000000-202000000010-10
χ392222-122-2-22-122-12-122-1-12-12-1-1-1-12-1211-2-2-2-21111-2-222-1-1-1-111-2-2111120-2011-2-2-1-1221111-1-1-1-10000-20-1010201100-1-1000000-202000000010-10
χ402222-122-2-22-122-12-122-1-12-12-1-1-1-12-1211-2-2-2-21111-2-222-1-1-1-111-2-21111-202011-2-2-1-1221111-1-1-1-100002010-10-20-1-1001100000020-20000000-1010
χ4122-2-222200222-2-2-2-2-2-222222-22-2-2-2-2-200000000002-20022-2-20000000000002-22-2000022-2-200002-200000000000000000022-2-200002-200000000
χ4222-2-222200222-2-2-2-2-2-222222-22-2-2-2-2-200000000002-20022-2-20000000000002-22-2000022-2-20000-22000000000000000000-2-2220000-2200000000
χ4322-2-222200222-2-2-2-2-2-222222-22-2-2-2-2-20000000000-220022-2-2000000000000-22-220000-2-22200002-2000000000000000000-2-22200002-200000000
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χ452-22-222200-2-2-2-222-2-22222-2-22-2-2-2-2220000000000002i−2i2-2-2200000000000000002i−2i2i−2i00002i2i−2i−2i002-200000000000000002i−2i2i−2i0000002-2000000
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χ472-22-222200-2-2-2-222-2-22222-2-22-2-2-2-222000000000000−2i2i2-2-220000000000000000−2i2i−2i2i0000−2i−2i2i2i002-20000000000000000−2i2i−2i2i0000002-2000000
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χ492-2-222222i−2i-2-2-22-2-222-2222-2-2-2-2222-2-22i−2i2i−2i2i−2i2i2i−2i−2i00002-22-22i−2i2i−2i2i2i−2i−2i00000000000000000000000000000000000000002i−2i−2i2i000000002-20000
χ502-2-222222i−2i-2-2-22-2-222-2222-2-2-2-2222-2-22i−2i2i−2i2i−2i2i2i−2i−2i00002-22-22i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000000000−2i2i2i−2i00000000-220000
χ512-2-22222−2i2i-2-2-22-2-222-2222-2-2-2-2222-2-2−2i2i−2i2i−2i2i−2i−2i2i2i00002-22-2−2i2i−2i2i−2i−2i2i2i00000000000000000000000000000000000000002i−2i−2i2i00000000-220000
χ522-2-22222−2i2i-2-2-22-2-222-2222-2-2-2-2222-2-2−2i2i−2i2i−2i2i−2i−2i2i2i00002-22-2−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000000000−2i2i2i−2i000000002-20000
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χ874-4-444-244i−4i-4-424-424-2-4-24-2-4222-24-2-424i−4i−2i2i4i−4i−2i−2i2i2i0000-22-224i−4i−2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000
χ884-4-444-24−4i4i-4-424-424-2-4-24-2-4222-24-2-42−4i4i2i−2i−4i4i2i2i−2i−2i0000-22-22−4i4i2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000
χ894-4-444-2-24i−4i2-42-2-424-22-2-212-122-2-212-14i−4i−2i2i−2i2i−2i−2i2i2i00001-11-1−2i2ii−iii−i−i00000000000000000000000000000000003-3003i−3i000000000000000000
χ904-4-444-2-24i−4i2-42-2-424-22-2-212-122-2-212-14i−4i−2i2i−2i2i−2i−2i2i2i00001-11-1−2i2ii−iii−i−i0000000000000000000000000000000000-3300−3i3i000000000000000000
χ914-4-444-2-2−4i4i2-42-2-424-22-2-212-122-2-212-1−4i4i2i−2i2i−2i2i2i−2i−2i00001-11-12i−2i−ii−i−iii00000000000000000000000000000000003-300−3i3i000000000000000000
χ924-4-444-2-2−4i4i2-42-2-424-22-2-212-122-2-212-1−4i4i2i−2i2i−2i2i2i−2i−2i00001-11-12i−2i−ii−i−iii0000000000000000000000000000000000-33003i−3i000000000000000000
χ934-4-44-2444i−4i-42-442-4-24-4-2-242-422-2-242-4−2i2i4i−4i4i−4i−2i−2i2i2i0000-22-22−2i2i4i−4i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000
χ944-4-44-244−4i4i-42-442-4-24-4-2-242-422-2-242-42i−2i−4i4i−4i4i2i2i−2i−2i0000-22-222i−2i−4i4i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000
χ954-4-44-24-24i−4i22-4-22-4-242-21-2-1222-21-2-12−2i2i4i−4i−2i2i−2i−2i2i2i00001-11-1i−i−2i2iii−i−i000000000000000000000000000000003-3003i−3i00000000000000000000
χ964-4-44-24-24i−4i22-4-22-4-242-21-2-1222-21-2-12−2i2i4i−4i−2i2i−2i−2i2i2i00001-11-1i−i−2i2iii−i−i00000000000000000000000000000000-3300−3i3i00000000000000000000
χ974-4-44-24-2−4i4i22-4-22-4-242-21-2-1222-21-2-122i−2i−4i4i2i−2i2i2i−2i−2i00001-11-1−ii2i−2i−i−iii000000000000000000000000000000003-300−3i3i00000000000000000000
χ984-4-44-24-2−4i4i22-4-22-4-242-21-2-1222-21-2-122i−2i−4i4i2i−2i2i2i−2i−2i00001-11-1−ii2i−2i−i−iii00000000000000000000000000000000-33003i−3i00000000000000000000
χ994-4-44-2-244i−4i-422422-2-2-41-2-222-1-11-2-222−2i2i−2i2i4i−4iii−i−i00001-11-1−2i2i−2i2iii−i−i0000000000003i−3i−3i3i-333-300000000000000000000000000000000000000
χ1004-4-44-2-244i−4i-422422-2-2-41-2-222-1-11-2-222−2i2i−2i2i4i−4iii−i−i00001-11-1−2i2i−2i2iii−i−i000000000000−3i3i3i−3i3-3-3300000000000000000000000000000000000000
χ1014-4-44-2-24−4i4i-422422-2-2-41-2-222-1-11-2-2222i−2i2i−2i−4i4i−i−iii00001-11-12i−2i2i−2i−i−iii0000000000003i−3i−3i3i3-3-3300000000000000000000000000000000000000
χ1024-4-44-2-24−4i4i-422422-2-2-41-2-222-1-11-2-2222i−2i2i−2i−4i4i−i−iii00001-11-12i−2i2i−2i−i−iii000000000000−3i3i3i−3i-333-300000000000000000000000000000000000000
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
χ10588-8-88-4-400-48-44-84-844-4-42-424-444-24-20000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-48-400-4-4844-84-84-42-42-44-44-24-240000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-400-4-4-444444422222-22-2-2-2-2-20000006i−6i6i−6i0000-1-1110000−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-4-400-4-4-444444422222-22-2-2-2-2-2000000−6i6i−6i6i0000-1-11100003i−3i3i−3i0000000000000000000000000000000000000000000000000000000000
χ1098-88-88-4-4004-8448-4-84-4-4-424-2-4444-2-42000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-48-40044-84-484-8-4-42-4-24-444-242-4000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-4004444-4-444-4222-2-22-2-2-2-2220000006-6-660000-111-10000-333-30000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4-4004444-4-444-4222-2-22-2-2-2-222000000-666-60000-111-100003-3-330000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-48i−8i444-444-4-44222-2-2-2-2222-2-2−4i4i−4i4i−4i4i2i2i−2i−2i0000-11-112i−2i2i−2i−i−iii0000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4−8i8i444-444-4-44222-2-2-2-2222-2-24i−4i4i−4i4i−4i−2i−2i2i2i0000-11-11−2i2i−2i2iii−i−i0000000000000000000000000000000000000000000000000000000000

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