Finite Group Databasebeta

← Group #13170473

Character table — Group #13170473

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222222244444444444444444444448888888888881212121212121212121212121212121212121212121224242424242424242424242424242424363636363636363636365454545472727272
order122233344666666666333666666666121212121212121212123666121212121212121244444412121212121212121212121212121212121212121212121212121212121212122444441212121244446121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11-11-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-111-111111111111111111111-1-11-1-111-1-111-1-11-1-11-1-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-111-1-111-1-1-11-1-1-11-1-1-1-11111-1-111
χ51111111111111111111111111111111111111111111111111111-111-1111111111111111111-1-1-111-111-1-111-1-111-11-1-1-11-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111111111111111111-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1111-1-11-1-1-1-1-1-1111111-1-1
χ71111111111111111111111111111111111111111111111111111-1-11-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111111111-1-1-1-1
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-11111-1-1-1-11-1111-1-1-1-1-1-1-11111-1111-1-111-1-1-1-111-111-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-11-1-111-1-111-1-1-1-111111-1111-1-1-1-1-1-1-111111-11-1-1111-1-111-1-11-1-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-11-111-1-111-1-11111-1-1-1-11-11-1-1-111-1-11111-1-1-1-1-1111-1-11111-1-1-11-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-111-1-111-1-111-1-1-1-111111-11-1-1-111-1-11111-1-111-1-11-1-1-111-1-1111-11-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-11111-1-1-1-1-11-1111-1-111-1-1-1-11111-1-11-1-1-11111-1-11-11-1
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-11-1-111-1-111-1-1-1-11111-11-1111-1-111-1-1-1-111-1-1-1111-1-111-1-111-11-11
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-111-1-111-1-11111-1-1-1-1-11-1-1-11111111-1-1-1-11-11-1-1111-1-1-1-1111-1-11
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-1-11111-11-1-1-11111111-1-1-1-1-1111-1-111-1-111-1-1-111-1
χ17222222-1222-1-122-12222-1-12-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-120220222-1-1-1-122-1-1-1-1-1-1-1-1-1-1200200-1-100-1-10020020000000000-1-100
χ18222222-1222-1-122-12222-1-12-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-120-220-2-2-21111-2-211111111-1-1200200-1-100-1-100-200-200000000001100
χ19222222-1222-1-122-12222-1-12-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-202-20222-1-1-1-122-1-1-1-1-1-1-1-111-200-20011001100-200-200000000001100
χ20222222-1222-1-122-12222-1-12-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-20-2-20-2-2-21111-2-21111111111-200-2001100110020020000000000-1-100
χ21222222-1-2-22-1-122-12222-1-12-1-12-1-1-12-111-2-2-2-21111-1-1-1-1-2-2111111202-20-22211-1-1-2-2-1-1-1-11111-11200-2001100-1-100-200200000000001-100
χ22222222-1-2-22-1-122-12222-1-12-1-12-1-1-12-111-2-2-2-21111-1-1-1-1-2-211111120-2-202-2-2-1-111221111-1-1-1-1-11200-2001100-1-100200-20000000000-1100
χ23222222-1-2-22-1-122-12222-1-12-1-12-1-1-12-111-2-2-2-21111-1-1-1-1-2-2111111-20220-22211-1-1-2-2-1-1-1-111111-1-200200-1-1001100200-20000000000-1100
χ24222222-1-2-22-1-122-12222-1-12-1-12-1-1-12-111-2-2-2-21111-1-1-1-1-2-2111111-20-2202-2-2-1-111221111-1-1-1-11-1-200200-1-1001100-200200000000001-100
χ2522222-1222222-1-1222-1-12-1-1-12-122-1-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1220220000000000000000022-1-12-12-1-1-1-1-1-1-1-1-1002020-1-1-1-100000000
χ2622222-1222222-1-1222-1-12-1-1-12-122-1-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12-202-20000000000000000022-11-2-1-21-1-111-1-11100-20-20111100000000
χ2722222-1222222-1-1222-1-12-1-1-12-122-1-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-220-2200000000000000000-2-21-1212-111-1-111-1-100-20-20111100000000
χ2822222-1222222-1-1222-1-12-1-1-12-122-1-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-20-2-200000000000000000-2-211-21-2111111111002020-1-1-1-100000000
χ2922222-12-2-2222-1-1222-1-12-1-1-12-122-1-1-1-2-211-2-2-2-2-2-2-1-1-1-111111111220-2-2000000000000000002-2-1-121-211111-1-1-1-10020-20-1-11100000000
χ3022222-12-2-2222-1-1222-1-12-1-1-12-122-1-1-1-2-211-2-2-2-2-2-2-1-1-1-1111111112-20-22000000000000000002-2-11-212-111-1-1-1-11100-202011-1-100000000
χ3122222-12-2-2222-1-1222-1-12-1-1-12-122-1-1-1-2-211-2-2-2-2-2-2-1-1-1-111111111-2202-200000000000000000-221-12-1-21-1-11111-1-100-202011-1-100000000
χ3222222-12-2-2222-1-1222-1-12-1-1-12-122-1-1-1-2-211-2-2-2-2-2-2-1-1-1-111111111-2-202200000000000000000-2211-2-12-1-1-1-1-111110020-20-1-11100000000
χ332222-12222-122222-1-12-1-12-12-1-1-1-12-122222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1022022-1-12222-1-1-1-1-1-1-1-1-1-10002-10-1200-1-100-1-10200020000000000-1-1
χ342222-12222-122222-1-12-1-12-12-1-1-1-12-122222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-102-202-211-2-2-2-211111111110002-10-1200-1-100-1-10-2000-2000000000011
χ352222-12222-122222-1-12-1-12-12-1-1-1-12-122222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10-220-22-1-12222-1-1-1-1-1-1-1-1-1-1000-2101-2001100110-2000-2000000000011
χ362222-12222-122222-1-12-1-12-12-1-1-1-12-122222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10-2-20-2-211-2-2-2-21111111111000-2101-2001100110200020000000000-1-1
χ372222-122-2-2-122222-1-12-1-12-12-1-1-1-12-12-2-2-2-2111111-1-1-1-111-2-211110220-2-2-1-1-2-22211-1-1-1-111110002-101-2001100-1-102000-20000000000-11
χ382222-122-2-2-122222-1-12-1-12-12-1-1-1-12-12-2-2-2-2111111-1-1-1-111-2-2111102-20-221122-2-2-1-11111-1-1-1-10002-101-2001100-1-10-2000200000000001-1
χ392222-122-2-2-122222-1-12-1-12-12-1-1-1-12-12-2-2-2-2111111-1-1-1-111-2-211110-2202-2-1-1-2-22211-1-1-1-11111000-210-1200-1-100110-2000200000000001-1
χ402222-122-2-2-122222-1-12-1-12-12-1-1-1-12-12-2-2-2-2111111-1-1-1-111-2-211110-2-20221122-2-2-1-11111-1-1-1-1000-210-1200-1-1001102000-20000000000-11
χ412-2-222222i−2i-2-22-2-2-2-222222-2-2-222-22-2-22i−2i2i−2i2i−2i2i2i−2i−2i22-2-22i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000002i−2i2-20000
χ422-2-222222i−2i-2-22-2-2-2-222222-2-2-222-22-2-22i−2i2i−2i2i−2i2i2i−2i−2i22-2-22i−2i2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000−2i2i-220000
χ432-2-22222−2i2i-2-22-2-2-2-222222-2-2-222-22-2-2−2i2i−2i2i−2i2i−2i−2i2i2i22-2-2−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000002i−2i-220000
χ442-2-22222−2i2i-2-22-2-2-2-222222-2-2-222-22-2-2−2i2i−2i2i−2i2i−2i−2i2i2i22-2-2−2i2i−2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000−2i2i2-20000
χ4544444-2-2444-2-2-2-2-244-2-2-21-21-2-2-2-21-21-2-2-2-244-2-2-2-21111-2-21111114004000000000000000000-2-2-200-20011001100000000000000000000
χ4644444-2-2444-2-2-2-2-244-2-2-21-21-2-2-2-21-21-2-2-2-244-2-2-2-21111-2-2111111-400-400000000000000000022200200-1-100-1-100000000000000000000
χ4744444-2-2-4-44-2-2-2-2-244-2-2-21-21-2-2-2-21-212222-4-42222111122-1-1-1-1-1-1400-4000000000000000000-22-200200-1-1001100000000000000000000
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χ494444-24-244-2-2-244-2-2-24-21-2-2-21-211-2-2-2-2-244-2-211111111-2-2-2-21111004004-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000
χ504444-24-244-2-2-244-2-2-24-21-2-2-21-211-2-2-2-2-244-2-211111111-2-2-2-2111100-400-422222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ514444-24-2-4-4-2-2-244-2-2-24-21-2-2-21-211-2-2-222-4-422-1-1-1-111112222-1-1-1-100400-4-2-222-2-2221111-1-1-1-10000000000000000000000000000000000
χ524444-24-2-4-4-2-2-244-2-2-24-21-2-2-21-211-2-2-222-4-422-1-1-1-111112222-1-1-1-100-400422-2-222-2-2-1-1-1-111110000000000000000000000000000000000
χ534444-2-2444-244-2-24-2-2-21-2-21-2-21-2-2-21-244-2-2-2-2-2-2-2-2111111-2-211110400400000000000000000000-2-20-2-200110011000000000000000000
χ544444-2-2444-244-2-24-2-2-21-2-21-2-21-2-2-21-244-2-2-2-2-2-2-2-2111111-2-211110-400-4000000000000000000002202200-1-100-1-1000000000000000000
χ554444-2-24-4-4-244-2-24-2-2-21-2-21-2-21-2-2-21-2-4-4222222221111-1-122-1-1-1-10400-400000000000000000000-2-202200-1-10011000000000000000000
χ564444-2-24-4-4-244-2-24-2-2-21-2-21-2-21-2-2-21-2-4-4222222221111-1-122-1-1-1-10-400400000000000000000000220-2-2001100-1-1000000000000000000
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χ814-4-444-244i−4i-4-4422-4-44-2-24-222-4-24-4-2224i−4i−2i2i4i−4i4i4i−4i−4i-2-222−2i2i−2i2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000
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χ864-4-444-2-2−4i4i-42-2222-44-2-2-212-12-2-2212-12i−2i2i−2i−4i4i2i2i−2i−2i11-1-12i−2i−ii−i−iii000000000000000000000000000000-33003i−3i00000000000000000000
χ874-4-44-2444i−4i2-44-4-4-42-24-2-242-42-2-2242-44i−4i4i−4i−2i2i−2i−2i2i2i-2-222−2i2i4i−4i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000
χ884-4-44-244−4i4i2-44-4-4-42-24-2-242-42-2-2242-4−4i4i−4i4i2i−2i2i2i−2i−2i-2-2222i−2i−4i4i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ894-4-44-24-24i−4i22-2-4-422-24-21-222-1-21-1-222−2i2i4i−4i−2i2iii−i−i11-1-1−2i2i−2i2iii−i−i000000000000003i−3i−3i3i-333-30000000000000000000000000000000000
χ904-4-44-24-24i−4i22-2-4-422-24-21-222-1-21-1-222−2i2i4i−4i−2i2iii−i−i11-1-1−2i2i−2i2iii−i−i00000000000000−3i3i3i−3i3-3-330000000000000000000000000000000000
χ914-4-44-24-2−4i4i22-2-4-422-24-21-222-1-21-1-2222i−2i−4i4i2i−2i−i−iii11-1-12i−2i2i−2i−i−iii000000000000003i−3i−3i3i3-3-330000000000000000000000000000000000
χ924-4-44-24-2−4i4i22-2-4-422-24-21-222-1-21-1-2222i−2i−4i4i2i−2i−i−iii11-1-12i−2i2i−2i−i−iii00000000000000−3i3i3i−3i-333-30000000000000000000000000000000000
χ934-4-44-2-244i−4i2-4422-42-2-21-2-2-1221-22-2-124i−4i−2i2i−2i2i−2i−2i2i2i11-1-1i−i−2i2iii−i−i000000000000000000000000000000003-3003i−3i000000000000000000
χ944-4-44-2-244i−4i2-4422-42-2-21-2-2-1221-22-2-124i−4i−2i2i−2i2i−2i−2i2i2i11-1-1i−i−2i2iii−i−i00000000000000000000000000000000-3300−3i3i000000000000000000
χ954-4-44-2-24−4i4i2-4422-42-2-21-2-2-1221-22-2-12−4i4i2i−2i2i−2i2i2i−2i−2i11-1-1−ii2i−2i−i−iii000000000000000000000000000000003-300−3i3i000000000000000000
χ964-4-44-2-24−4i4i2-4422-42-2-21-2-2-1221-22-2-12−4i4i2i−2i2i−2i2i2i−2i−2i11-1-1−ii2i−2i−i−iii00000000000000000000000000000000-33003i−3i000000000000000000
χ978888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-42222-1-1-1-12222-1-1-1-100000000000000000000000000000000000000000000000000000000
χ988888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444444-2-2-2-2-1-1-1-1-2-2-2-2111100000000000000000000000000000000000000000000000000000000
χ9988-8-88-4-400-8-44-4448-84-4-424-2-4444-2-4200000000002-2-220000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-480048-8-44-8-4442-4-4-24-4-24442-400000000002-2-220000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-4004-44-444-444222-2-22-2-2-2-2220000006-66-6-111-10000-33-3300000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-4004-44-444-444222-2-22-2-2-2-222000000-66-66-111-100003-33-300000000000000000000000000000000000000000000000000000000
χ1038-88-88-4-4008444-4-4-8-84-4-42-42444-4-24-200000000002-22-20000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4800-4-8-84-484442-4-42-44-24-44-2400000000002-22-20000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-400-4444-4-444422222-2-2-22-2-2-20000006i−6i−6i6i-11-110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-400-4444-4-444422222-2-2-22-2-2-2000000−6i6i6i−6i-11-1100003i−3i−3i3i00000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-48i−8i44-44444-4-4222-2-2-222-22-2-2−4i4i−4i4i−4i4i2i2i−2i−2i-1-1112i−2i2i−2i−i−iii00000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-4−8i8i44-44444-4-4222-2-2-222-22-2-24i−4i4i−4i4i−4i−2i−2i2i2i-1-111−2i2i−2i2iii−i−i00000000000000000000000000000000000000000000000000000000

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