Finite Group Databasebeta

← Group #13169391

Character table — Group #13169391

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222444444444444444444444466668888888888889999121212121212121212121212121212121212121212121212121212121818181818182424242424242424242424243636363636365454545472727272
order12223334466666666633366666666612121212121212121212444436661212121212121212444444441212121212121212121212121212121212121212121212122212121212121212121212121212121212444466444412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
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
χ71111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-111
χ81111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111-11-111-1-111-1-111-1-111-1-11111-1-1-1-1-1-111111-11-111-1-111-1-11-11-1-1-111-1-11-11-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-11-1111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-11111-11-11-1-111-1-111-11-11-1-111-1-1-11-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-11-1-1111-1-1-1-1111-1-1111-1-1111-1-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1-1-111-1-1-11111-1-1-111-111-1-111-111-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-11-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-111111-11-111-1-111-1-1-11-11-1-1-1-111-11-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-1-111-1-111-1-1-1-11111-1-11111-11-11-1-111-1-1111-11-1-1-1-1-1111-11-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11-1-1111-1-1-1-111-111-11111-1-1-111-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-111-1-1-11111-1-11-1-111111-1-11-1-11
χ17222222-1222222-1-1-1222-1-1-1-12-1-122-1-12222-1-122220000-1-1-1-1-1-1-1-1-1-1-1-1222222220000-1-1-1-1-1-1-1-100000000000022-1-1-1-12222-1-1-1-1-1-1-1-10000-1-100000000
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χ19222222-1222222-1-1-1222-1-1-1-12-1-122-1-12222-1-122220000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-20000-1-1-1-11111000000000000-2-2111122-2-2-1-1-1-1111100001100000000
χ20222222-1222222-1-1-1222-1-1-1-12-1-122-1-12222-1-122220000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-22200001111-1-1-1-1000000000000-2-21111-2-2221111-1-1-1-100001100000000
χ21222222-1-2-22222-1-1-1222-1-1-1-12-1-122-1-1-2-2-2-211-2-2-2-20000-1-1-1-11111111122222-22-20000-1-111-1-111000000000000-2-2-1-1-1-12-22-2-1-111-1-11100001100000000
χ22222222-1-2-22222-1-1-1222-1-1-1-12-1-122-1-1-2-2-2-211-2-2-2-20000-1-1-1-1111111112222-22-22000011-1-111-1-1000000000000-2-2-1-1-1-1-22-2211-1-111-1-100001100000000
χ23222222-1-2-22222-1-1-1222-1-1-1-12-1-122-1-1-2-2-2-211-2-2-2-20000-1-1-1-111111111-2-2-2-22-2-220000-1-11111-1-10000000000002211112-2-22-1-11111-1-10000-1-100000000
χ24222222-1-2-22222-1-1-1222-1-1-1-12-1-122-1-1-2-2-2-211-2-2-2-20000-1-1-1-111111111-2-2-2-2-222-2000011-1-1-1-111000000000000221111-222-211-1-1-1-1110000-1-100000000
χ2522222-12222-12-12222-1-12-12-1-12-1-1-12-122-1-122-1-1-1-12222-1-1-1-122-1-1-1-1-1-10000002222-1-100002222-1-122-1-1-1-1-1-1-1-100000000-1-10000-1-1-1-1002200000000-1-1
χ2622222-12222-12-12222-1-12-12-1-12-1-1-12-122-1-122-1-1-1-12222-1-1-1-122-1-1-1-1-1-1000000-2-222-1-10000-2-2-2-2-1-122-1-1-1-1-1-1-1-100000000110000111100-2-20000000011
χ2722222-12222-12-12222-1-12-12-1-12-1-1-12-122-1-122-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-100000022-2-2110000222211-2-21111111100000000-1-10000-1-1-1-100-2-20000000011
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χ3122222-12-2-22-12-12222-1-12-12-1-12-1-1-12-1-2-211-2-21111-2-222-1-1-1-1-2-21111110000002-2-2-2-1-1000022-2-211221111-1-1-1-100000000-110000-1-11100-22000000001-1
χ3222222-12-2-22-12-12222-1-12-12-1-12-1-1-12-1-2-211-2-21111-2-222-1-1-1-1-2-2111111000000-22-2-2-1-10000-2-22211221111-1-1-1-1000000001-1000011-1-1002-200000000-11
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χ352222-12222-12-12222-12-1-12-12-1-12-1-1-12-1-12222-1-1-1-1-2-2-2-2-1-1-1-1-1-122-1-1-1-10000220011-2-222220000-2-21111111111000000-1-100-1-1-1-10000-2-2000000001100
χ362222-12222-12-12222-12-1-12-12-1-12-1-1-12-1-12222-1-1-1-1-2-2-2-2-1-1-1-1-1-122-1-1-1-10000-2-20011-2-2-2-2-2-20000-2-211111111110000001100111100002200000000-1-100
χ372222-122-2-2-12-12222-12-1-12-12-1-12-1-1-1211-2-2-2-2111122-2-2-1-1-1-111-2-2111100002-200-1-1-2-222-2-200002211-1-1-1-11111000000-1100-1-11100002-200000000-1100
χ382222-122-2-2-12-12222-12-1-12-12-1-12-1-1-1211-2-2-2-2111122-2-2-1-1-1-111-2-211110000-2200-1-1-2-2-2-22200002211-1-1-1-111110000001-10011-1-10000-22000000001-100
χ392222-122-2-2-12-12222-12-1-12-12-1-12-1-1-1211-2-2-2-21111-2-222-1-1-1-111-2-2111100002-200112222-2-20000-2-2-1-11111-1-1-1-1000000-1100-1-1110000-22000000001-100
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χ8444-4-4-24-2-44-242-422-22-4-21-2-12-21-222-122-2-442-222-2-200001-1-11-112-2-1-111000000000000−232323−23000000000000000000000000003−3−33000000000000000000
χ8544-4-4-2-244-4-2-222-4-44221-2-2221-2-2-1-122-22-224-411-1-100001-1-11-22-2211-1-10000000000000000000000003i−3i3i−3i3i−3i3i−3i00000000000000000000000000000000
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χ8744-4-4-2-24-44-2-222-4-44221-2-2221-2-2-1-1222-22-2-44-1-11100001-1-112-22-2-1-1110000000000000000000000003i−3i3i−3i−3i3i−3i3i00000000000000000000000000000000
χ8844-4-4-2-24-44-2-222-4-44221-2-2221-2-2-1-1222-22-2-44-1-11100001-1-112-22-2-1-111000000000000000000000000−3i3i−3i3i3i−3i3i−3i00000000000000000000000000000000
χ894-44-444-200-4-44-4-222-444-2-2-22-4224-42-200000000000000-2-222000000004i−4i4i−4i000000000000000000000000000000−2i2i−2i2i00000000000000000000000000
χ904-44-444-200-4-44-4-222-444-2-2-22-4224-42-200000000000000-2-22200000000−4i4i−4i4i0000000000000000000000000000002i−2i2i−2i00000000000000000000000000
χ914-44-44-2400-42424-4-4-4-2-24-2422-42-22-4-200000000004-400-2-22200000000000000004-40000000000-2200-2-222000000000000000000000000000000000000
χ924-44-44-2400-42424-4-4-4-2-24-2422-42-22-4-20000000000-4400-2-2220000000000000000-4400000000002-20022-2-2000000000000000000000000000000000000
χ934-44-4-244002-4-2-44-4-424-2-24-2-422-4-222400000000004-400-2-2220000000000000000-2200000000004-400-2-222000000000000000000000000000000000000
χ944-44-4-244002-4-2-44-4-424-2-24-2-422-4-22240000000000-4400-2-22200000000000000002-20000000000-440022-2-2000000000000000000000000000000000000
χ954-44-4-2-240022-224-4-42-21-2-2-22-1221-12-20000003i−3i3i−3i4-40011-1-100003i−3i3i−3i00000000-220000000000-220011-1-13i−3i−3i3i00000000000000000000000000000000
χ964-44-4-2-240022-224-4-42-21-2-2-22-1221-12-20000003i−3i3i−3i-440011-1-100003i−3i3i−3i000000002-200000000002-200-1-111−3i3i3i−3i00000000000000000000000000000000
χ974-44-4-2-240022-224-4-42-21-2-2-22-1221-12-2000000−3i3i−3i3i4-40011-1-10000−3i3i−3i3i00000000-220000000000-220011-1-1−3i3i3i−3i00000000000000000000000000000000
χ984-44-4-2-240022-224-4-42-21-2-2-22-1221-12-2000000−3i3i−3i3i-440011-1-10000−3i3i−3i3i000000002-200000000002-200-1-1113i−3i−3i3i00000000000000000000000000000000
χ994-4-4444-200-4-4-442-224-44-2-22-2-422-44-2200000000000000-22-22000000004i−4i−4i4i000000000000000000000000000000−2i2i2i−2i00000000000000000000000000
χ1004-4-4444-200-4-4-442-224-44-2-22-2-422-44-2200000000000000-22-2200000000−4i4i4i−4i0000000000000000000000000000002i−2i−2i2i00000000000000000000000000
χ1014-4-444-2400-42-4-2-44-442-24-2-4-22-422-2420000000000004-4-22-22000000000000000000-2200000000004-40000-2-22200000000000000000000000000000000
χ1024-4-444-2400-42-4-2-44-442-24-2-4-22-422-242000000000000-44-22-220000000000000000002-20000000000-44000022-2-200000000000000000000000000000000
χ1034-4-44-244002-424-44-4-2-4-2-242422-42-2-2-40000000000004-4-22-220000000000000000004-40000000000-220000-2-22200000000000000000000000000000000
χ1044-4-44-244002-424-44-4-2-4-2-242422-42-2-2-4000000000000-44-22-22000000000000000000-4400000000002-2000022-2-200000000000000000000000000000000
χ1054-4-44-2-2400222-2-44-4-221-2-22-2-122-11-220000003i−3i−3i3i004-41-11-100003i−3i−3i3i0000000000-220000000000-22−3i3i3i−3i11-1-100000000000000000000000000000000
χ1064-4-44-2-2400222-2-44-4-221-2-22-2-122-11-220000003i−3i−3i3i00-441-11-100003i−3i−3i3i00000000002-200000000002-23i−3i−3i3i-1-11100000000000000000000000000000000
χ1074-4-44-2-2400222-2-44-4-221-2-22-2-122-11-22000000−3i3i3i−3i004-41-11-10000−3i3i3i−3i0000000000-220000000000-223i−3i−3i3i11-1-100000000000000000000000000000000
χ1084-4-44-2-2400222-2-44-4-221-2-22-2-122-11-22000000−3i3i3i−3i00-441-11-10000−3i3i3i−3i00000000002-200000000002-2−3i3i3i−3i-1-11100000000000000000000000000000000
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
χ11188-8-8-4-4-48-8-4-44444-444222-2-2222-2-2-2-2-44-44-4422-2-20000-111-12-22-2-1-1110000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-4-4-4-88-4-44444-444222-2-2222-2-2-2-24-44-44-4-2-2220000-111-1-22-2211-1-10000000000000000000000000000000000000000000000000000000000000000
χ1138-88-88-4-400-8484-444-8-4-4-42-4-244-2-44420000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-48-4004-8-4-8-44448-42-4244-24-44-2-40000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-88-8-4-4-40044-44-4444-42222-2-2-2-22-2-220000006i−6i6i−6i0000-1-1110000−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000000000
χ1168-88-8-4-4-40044-44-4444-42222-2-2-2-22-2-22000000−6i6i−6i6i0000-1-11100003i−3i3i−3i0000000000000000000000000000000000000000000000000000000000000000
χ1178-8-888-4-400-84-8-44-4484-4-424244-24-4-4-2000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-8-88-48-4004-8484-44-4-8-42-4-2-44-244-424000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-88-4-4-400444-44-44-44222-22-2-2-2-222-20000006i−6i−6i6i0000-11-110000−3i3i3i−3i0000000000000000000000000000000000000000000000000000000000000000
χ1208-8-88-4-4-400444-44-44-44222-22-2-2-2-222-2000000−6i6i6i−6i0000-11-1100003i−3i−3i3i0000000000000000000000000000000000000000000000000000000000000000

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