Finite Group Databasebeta

← Group #13168648

Character table — Group #13168648

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222444444444444444444444466668888888888889999121212121212121212121212121212121212121212121212121212121818181818182424242424242424242424243636363636365454545472727272
order12223334466666666633366666666612121212121212121212224436661212121212121212444444446666666612121212121212121212121212121212441212121212121212121212121212121244441212444412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
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
χ71111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-111
χ81111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1111111-1-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111-11-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-11-111-1-111-1-11-11-1-1-111-1-11-11-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-11-1111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-11-11-1-111-1-1-11-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-111-1-1-11111-1-1-111-111-1-1111-1-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-11-1-1111-1-1-1-1111-1-1111-1-111-111-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-11-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-111111-11-111-1-111-1-1-11-11-1-1-1-111-11-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-11-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-11111-11-11-1-111-1-1111-11-1-1-1-1-1111-11-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-111-1-111-1-11111111111-1-1-1-1-111-1-1-11111-1-11-1-111111-1-1-111-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-11-1-1111-1-1-1-111-111-11111-1-11-1-11
χ17222222-1222-1222-12-122-1-12-1-1-1-12-12-122-1-122-1-1-1-12222-1-1-1-122-1-1-1-1-1-10000220022-1-1-1-1-1-12222-1-1000022-1-1-1-100000000-1-10000-1-1-1-10022000000-1-100
χ18222222-1222-1222-12-122-1-12-1-1-1-12-12-122-1-122-1-1-1-12222-1-1-1-122-1-1-1-1-1-10000-2-20022-1-1-1-1-1-1-2-2-2-2-1-1000022-1-1-1-100000000110000111100-2-20000001100
χ19222222-1222-1222-12-122-1-12-1-1-1-12-12-122-1-122-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-100002200-2-21111112222110000-2-2111100000000-1-10000-1-1-1-100-2-20000001100
χ20222222-1222-1222-12-122-1-12-1-1-1-12-12-122-1-122-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-10000-2-200-2-2111111-2-2-2-2110000-2-211110000000011000011110022000000-1-100
χ21222222-1-2-22-1222-12-122-1-12-1-1-1-12-12-1-2-211-2-2111122-2-2-1-1-1-1-2-211111100002-20022-1-1-1-1-1-122-2-2110000-2-2111100000000-110000-1-111002-2000000-1100
χ22222222-1-2-22-1222-12-122-1-12-1-1-1-12-12-1-2-211-2-2111122-2-2-1-1-1-1-2-21111110000-220022-1-1-1-1-1-1-2-222110000-2-21111000000001-1000011-1-100-220000001-100
χ23222222-1-2-22-1222-12-122-1-12-1-1-1-12-12-1-2-211-2-21111-2-222-1-1-1-1-2-211111100002-200-2-211111122-2-2-1-1000022-1-1-1-100000000-110000-1-11100-220000001-100
χ24222222-1-2-22-1222-12-122-1-12-1-1-1-12-12-1-2-211-2-21111-2-222-1-1-1-1-2-21111110000-2200-2-2111111-2-222-1-1000022-1-1-1-1000000001-1000011-1-1002-2000000-1100
χ2522222-1222-12-122222-1-12-1-122-1-1-1-1-122222-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-100000022-1-122-1-1-1-10000222222-1-1-1-1-1-1000000-1-100-1-1-1-10000220000000000-1-1
χ2622222-1222-12-122222-1-12-1-122-1-1-1-1-122222-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1000000-2-2-1-122-1-1-1-1000022-2-2-2-2-1-1-1-1-1-1000000110011110000-2-2000000000011
χ2722222-1222-12-122222-1-12-1-122-1-1-1-1-122222-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-122-1-1-1-10000002211-2-211110000-2-22222111111000000-1-100-1-1-1-10000-2-2000000000011
χ2822222-1222-12-122222-1-12-1-122-1-1-1-1-122222-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-122-1-1-1-1000000-2-211-2-211110000-2-2-2-2-2-2111111000000110011110000220000000000-1-1
χ2922222-12-2-2-12-122222-1-12-1-122-1-1-1-1-12-2-2-2-211111122-2-2-1-1-1-111-2-211110000002-2-1-122-1-1-1-10000-2-222-2-2111111000000-1100-1-11100002-20000000000-11
χ3022222-12-2-2-12-122222-1-12-1-122-1-1-1-1-12-2-2-2-211111122-2-2-1-1-1-111-2-21111000000-22-1-122-1-1-1-10000-2-2-2-2221111110000001-10011-1-10000-2200000000001-1
χ3122222-12-2-2-12-122222-1-12-1-122-1-1-1-1-12-2-2-2-2111111-2-222-1-1-1-111-2-211110000002-211-2-2111100002222-2-2-1-1-1-1-1-1000000-1100-1-1110000-2200000000001-1
χ3222222-12-2-2-12-122222-1-12-1-122-1-1-1-1-12-2-2-2-2111111-2-222-1-1-1-111-2-21111000000-2211-2-21111000022-2-222-1-1-1-1-1-10000001-10011-1-100002-20000000000-11
χ332222-12222222-1-12-122-1-12-1-1-122-12-1-1-1-1222222220000-1-1-1-1-1-1-1-1-1-1-1-12222222200000000-1-1-1-100-1-1-1-100000022-1-1-1-12222-1-1-1-1-1-1-1-10000-1-100000000
χ342222-12222222-1-12-122-1-12-1-1-122-12-1-1-1-1222222220000-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-200000000111100111100000022-1-1-1-1-2-2-2-2111111110000-1-100000000
χ352222-12222222-1-12-122-1-12-1-1-122-12-1-1-1-1222222220000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-200000000-1-1-1-1001111000000-2-21111-2-2221111-1-1-1-100001100000000
χ362222-12222222-1-12-122-1-12-1-1-122-12-1-1-1-1222222220000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-22200000000111100-1-1-1-1000000-2-2111122-2-2-1-1-1-1111100001100000000
χ372222-122-2-2222-1-12-122-1-12-1-1-122-12-1-111-2-2-2-2-2-2-2-20000-1-1-1-11111111122222-22-200000000-1-11100-1-111000000-2-2-1-1-1-12-22-2-1-111-1-11100001100000000
χ382222-122-2-2222-1-12-122-1-12-1-1-122-12-1-111-2-2-2-2-2-2-2-20000-1-1-1-1111111112222-22-220000000011-1-10011-1-1000000-2-2-1-1-1-1-22-2211-1-111-1-100001100000000
χ392222-122-2-2222-1-12-122-1-12-1-1-122-12-1-111-2-2-2-2-2-2-2-20000-1-1-1-111111111-2-2-2-22-2-2200000000-1-1110011-1-1000000221111-222-211-1-1-1-1110000-1-100000000
χ402222-122-2-2222-1-12-122-1-12-1-1-122-12-1-111-2-2-2-2-2-2-2-20000-1-1-1-111111111-2-2-2-2-222-20000000011-1-100-1-1110000002211112-2-22-1-11111-1-10000-1-100000000
χ4122-2-22222-2-2-2-22-22-2-22222-2-2-2-2-222-222-22-22-222-2-200002-2-222-22-222-2-22i2i−2i−2i00000000000000000000000000002i−2i2i2i−2i−2i00000000000000002i−2i00000000
χ4222-2-22222-2-2-2-22-22-2-22222-2-2-2-2-222-222-22-22-222-2-200002-2-222-22-222-2-2−2i−2i2i2i0000000000000000000000000000−2i2i−2i−2i2i2i0000000000000000−2i2i00000000
χ4322-2-2222-22-2-2-22-22-2-22222-2-2-2-2-222-22-22-22-22-2-22200002-2-22-22-22-2-2222i2i−2i−2i0000000000000000000000000000−2i2i2i2i−2i−2i0000000000000000−2i2i00000000
χ4422-2-2222-22-2-2-22-22-2-22222-2-2-2-2-222-22-22-22-22-2-22200002-2-22-22-22-2-222−2i−2i2i2i00000000000000000000000000002i−2i−2i−2i2i2i00000000000000002i−2i00000000
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χ532-22-22220022-2-22-2-2-2-222222-22-2-2-2-2-200000000002-20022-2-2000000002-22-200002-22-222-2-20000000000000000002-22-20000000000000000002-2000000
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χ944-44-44-2-200-2-22-442-422-2-21-2-221-12-1220000003i−3i3i−3i-440011-1-100003i−3i3i−3i000000002-22-2-1-111000000000000−3i3i3i−3i00000000000000000000000000000000
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χ1014-4-444-24002-4-2-4-4-4442-24-22-442-222-2-40000000000004i−4i-22-2200000000000000000000000000004i−4i0000−2i2i−2i−2i2i2i00000000000000000000000000000000
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χ1034-4-444-2-20022-2-4-424-22-2-2122-2-112-1-220000003i−3i−3i3i004i−4i1-11-100003i−3i−3i3i0000000000003-3-330000−2i2i0000−2i2iii−i−i00000000000000000000000000000000
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χ1054-4-444-2-20022-2-4-424-22-2-2122-2-112-1-22000000−3i3i3i−3i004i−4i1-11-10000−3i3i3i−3i000000000000-333-30000−2i2i0000−2i2iii−i−i00000000000000000000000000000000
χ1064-4-444-2-20022-2-4-424-22-2-2122-2-112-1-22000000−3i3i3i−3i00−4i4i1-11-10000−3i3i3i−3i0000000000003-3-3300002i−2i00002i−2i−i−iii00000000000000000000000000000000
χ1074-4-44-24400-4-4422-4-24-4-2-2422-2-442-4-2200000000000000-22-22000000004i−4i−4i4i000000000000000000000000000000−2i2i2i−2i00000000000000000000000000
χ1084-4-44-24400-4-4422-4-24-4-2-2422-2-442-4-2200000000000000-22-2200000000−4i4i4i−4i0000000000000000000000000000002i−2i−2i2i00000000000000000000000000
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
χ11188-8-8-4-4-48-8444-44-444-4222-2-2-2-2-222-22-44-44-4422-2-20000-111-12-22-2-1-1110000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-4-4-4-88444-44-444-4222-2-2-2-2-222-224-44-44-4-2-2220000-111-1-22-2211-1-10000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-48-4008-4-84-4444-8-42-4-42-2-44444-20000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4800-4844-4-84-842-4-42-44-44-24-240000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-88-8-4-4-400-4-444-4444422222-22-2-2-2-2-20000006i−6i6i−6i0000-1-1110000−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000000000
χ1168-88-8-4-4-400-4-444-4444422222-22-2-2-2-2-2000000−6i6i−6i6i0000-1-11100003i−3i3i−3i0000000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-48-400-848444-4-4-8-42-44-224-444-4-2000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
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χ1198-8-88-4-4-40044-4444-4-44222-2-22-22-2-22-20000006i−6i−6i6i0000-11-110000−3i3i3i−3i0000000000000000000000000000000000000000000000000000000000000000
χ1208-8-88-4-4-40044-4444-4-44222-2-22-22-2-22-2000000−6i6i6i−6i0000-11-1100003i−3i−3i3i0000000000000000000000000000000000000000000000000000000000000000

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