Finite Group Databasebeta

← Group #13172088

Character table — Group #13172088

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222444444444444444444444466668888888888889999121212121212121212121212121212121212121212121212121212121818181818182424242424242424242424243636363636365454545472727272
order1222223336666666663336666666666666666666444436666666666644442244666612121212121212121212121212121212121212124412121212666666121212121212224412124444661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-11-11-111-1-11111111111-1-111111111-1-1-1-1-1-11-111-1-11-111-1-11-11-1-1-1-1-1-1-11-11-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-11-11-1-11111111111-1-11111111111-1-1-1-1-1-1-11-1-111-11-1-111-11-11-1-1-1-1-1-1-11-11
χ51111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
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
χ71111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-11-11-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11-111-1-1-11-11-1-11111-11-11
χ81111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-11-11-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11-1-1111-11-1-1-111111-11-1
χ91111-1-1111111111111111-1-1-1-1-1-111-1-1-1-1111111111-1-11-1-1-1-1111-1-1-1-111111-1-1111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111111-111-1-1-11-1-1111-1-11-1-111-1-11-1-11
χ101111-1-1111111111111111-1-1-1-1-1-111-1-1-1-1111111111-1-11-1-1-1-1111-1-1-1-11111-111-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-11111-11-1-1111-111-1-1-111-1-1-111-1-1-111-1
χ111111-1-1111111111111111-1-1-1-1-1-111-1-1-1-1111111111-1-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-11111-1-1
χ121111-1-1111111111111111-1-1-1-1-1-111-1-1-1-1111111111-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-111
χ131111-1-1111111111111111-1-1-1-1-1-111-1-1-1-11111111-1-1111-1-1-1-1111-1-1-1-111111-1-1111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111111-111-1-1-11-1-111-111-1-1-1-1-111-111-1
χ141111-1-1111111111111111-1-1-1-1-1-111-1-1-1-11111111-1-1111-1-1-1-1111-1-1-1-11111-111-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-11-1-1111-111-1-11-1-11-1-1-1-1111-1-11
χ151111-1-1111111111111111-1-1-1-1-1-111-1-1-1-11111111-1-1111-1-1-1-1111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ161111-1-1111111111111111-1-1-1-1-1-111-1-1-1-11111111-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1
χ1722222222-1222-12-12-12-12-12222-1-1-1-1-1-1-1-122-1-12-1-12222-122-1-1-1-1-1-1-1-1-100000202002222-1-122-1-10022-1-1-1-1-1-1-1-10000000-100-1-10-100-1-102020000000-10-1
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χ2022222222-1222-12-12-12-12-12222-1-1-1-1-1-1-1-122-1-12-1-1-2-2-2-2-122-1-1-1-1-1-1-1-1-100000-20-200-2-2-2-211-2-21100-2-21111111100000001001101001102020000000-10-1
χ212222222-1222-12-12-122-1-1222-1-122-1-1-1-1-1-1-1-122-12-12222-1-1-122-1-1-1-1-1-1-1000020202200-1-122-1-1222200-1-1-1-1-1-1-1-1000000-10-1-100-10-1-1002020000000-10-10
χ222222222-1222-12-12-122-1-1222-1-122-1-1-1-1-1-1-1-122-12-12222-1-1-122-1-1-1-1-1-1-10000-20-20-2-200-1-122-1-122-2-200-1-1-1-1-1-1-1-1000000101100101100-20-200000001010
χ232222222-1222-12-12-122-1-1222-1-122-1-1-1-1-1-1-1-122-12-1-2-2-2-2-1-1-122-1-1-1-1-1-1-100002020220011-2-211-2-2220011111111000000-10-1-100-10-1-100-20-200000001010
χ242222222-1222-12-12-122-1-1222-1-122-1-1-1-1-1-1-1-122-12-1-2-2-2-2-1-1-122-1-1-1-1-1-1-10000-20-20-2-20011-2-211-2-2-2-200111111110000001011001011002020000000-10-10
χ25222222-122-1-1222222-12-1-1-1-12222222222-1-1-1-1-1-120000-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-100000000-1-1-1-10000000022-1-1-1-122-1-1-1-122-1-1-1-10000-1-100000000
χ26222222-122-1-1222222-12-1-1-1-12222222222-1-1-1-1-1-120000-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-211110000000011110000000022-1-1-1-1-2-21111-2-211110000-1-100000000
χ27222222-122-1-1222222-12-1-1-1-12222222222-1-1-1-1-1-120000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22-22-2-1-11100000000-1-11100000000-2-211112-2-1-1112-2-1-11100001100000000
χ28222222-122-1-1222222-12-1-1-1-12222222222-1-1-1-1-1-120000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-22-2211-1-10000000011-1-100000000-2-21111-2211-1-1-2211-1-100001100000000
χ292222-2-222-1222-12-12-12-12-1-2-2-2-211-1-1111122-1-12-1-122-2-2-1-2-211-1-1-111110000020-2002222-1-1-2-21100-2-2-1-1-1-111110000000-100-1-1010011020-20000000-101
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χ312222-2-222-1222-12-12-12-12-1-2-2-2-211-1-1111122-1-12-1-1-2-222-1-2-211-1-1-111110000020-20022-2-21122-1-100-2-21111-1-1-1-10000000-100-1-10100110-202000000010-1
χ322222-2-222-1222-12-12-12-12-1-2-2-2-211-1-1111122-1-12-1-1-2-222-1-2-211-1-1-1111100000-20200-2-2-2-21122-1-100221111-1-1-1-10000000100110-100-1-1020-20000000-101
χ332222-2-22-1222-12-12-122-1-12-2-211-2-2-1-11111-1-122-12-122-2-2-111-2-2-1-1-11111000020-202200-1-12211-2-2-2-200-1-1-1-11111000000-10-1-10010110020-20000000-1010
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χ362222-2-22-1222-12-12-122-1-12-2-211-2-2-1-11111-1-122-12-1-2-222-111-2-2-1-1-111110000-2020-2-20011-2-2-1-12222001111-1-1-1-1000000101100-10-1-10020-20000000-1010
χ372222-2-2-122-1-1222222-12-1-111-2-2-2-222-2-2-2-2-1-1-1-1-1-120000-11111-1-1-1111122222-2-22-1-1110000000011-1-100000000-2-2-1-1-1-12-2-1-111-2211-1-100001100000000
χ382222-2-2-122-1-1222222-12-1-111-2-2-2-222-2-2-2-2-1-1-1-1-1-120000-11111-1-1-111112222-222-211-1-100000000-1-11100000000-2-2-1-1-1-1-2211-1-12-2-1-11100001100000000
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χ402222-2-2-122-1-1222222-12-1-111-2-2-2-222-2-2-2-2-1-1-1-1-1-120000-11111-1-1-11111-2-2-2-2-2-222111100000000-1-1-1-100000000221111-2-2111122-1-1-1-10000-1-100000000
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χ954-44-4-44-24-222-42-424-2-2-2-212-2-442-2-2222-2-222-1-1-212000012-2-11-11-1-1-1110000000000−2i32i300000000002i3−2i3000000000000000000i3−i30000−i3i300000000000000
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χ984-44-4-44-2-24222-42-4-24-2-21-22-22-2-44-2222-2-2-1-1221-2200001-112-2-11-1-1-111000000002i3−2i30000000000−2i32i3000000000000000000−i3i30000i3−i30000000000000000
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χ1024-4-44004-24-44-242-42-4-4-2-240000002-200002-2-442-4200−4i4i-2000022-2000000000000000000002i−2i−4i4i000000002i2i−2i−2i00000000000000000000000000000000
χ1034-4-44004-2-2-44-2-22222-41-2-2000000-113-3-332-22-222-1004i−4i10000-1-113-3-330000000000000000−2i2i−2i2i00003i−3i−3i3iii−i−i00000000000000000000000000000000
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χ1054-4-44004-2-2-44-2-22222-41-2-2000000-11-333-32-22-222-1004i−4i10000-1-11-333-30000000000000000−2i2i−2i2i0000−3i3i3i−3iii−i−i00000000000000000000000000000000
χ1064-4-44004-2-2-44-2-22222-41-2-2000000-11-333-32-22-222-100−4i4i10000-1-11-333-300000000000000002i−2i2i−2i00003i−3i−3i3i−i−iii00000000000000000000000000000000
χ1074-4-4400-2442-244-4-4-4-424-2-2000000-4400002-22-222-40000-2000022-200004i−4i−4i4i000000000000000000000000000000−2i2i2i−2i00000000000000000000000000
χ1084-4-4400-2442-244-4-4-4-424-2-2000000-4400002-22-222-40000-2000022-20000−4i4i4i−4i0000000000000000000000000000002i−2i−2i2i00000000000000000000000000
χ109888888-4-4-4-4-4-4-4-4-4-4-4-4222-4-4-4-4-4-422222222222220000-12222-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000000000
χ1108888-8-8-4-4-4-4-4-4-4-4-4-4-4-422244444422-2-2-2-222222220000-1-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000000000000000
χ11188-8-800-48-4-44-848-4-844-4-42000000440000-442-24-2-40000200002-2-200000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-800-4-48-444-8-484-84-42-40000004400002-2-44-24-40000200002-2-200000000000000000000000000000000000000000000000000000000000000000000
χ11388-8-800-4-4-4-4444-4-4444222000000-2-26-66-62-22-2-2-220000-10000-111-33-330000000000000000000000000000000000000000000000000000000000000000
χ11488-8-800-4-4-4-4444-4-4444222000000-2-2-66-662-22-2-2-220000-10000-1113-33-30000000000000000000000000000000000000000000000000000000000000000
χ1158-88-88-8-4-4-4444444-4-4-4222-44-44-442-222-2-2-2-2-2-222-20000-12-22-21-11-1-1110000000000000000000000000000000000000000000000000000000000000000
χ1168-88-8-88-4-4-4444444-4-4-42224-44-44-42-2-2-222-2-2-2-222-20000-1-22-221-1111-1-10000000000000000000000000000000000000000000000000000000000000000
χ1178-8-8800-48-44-48-4-84-844-4-420000004-400004-4-224-24000020000-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1188-8-8800-4-484-4-484-84-84-42-40000004-40000-224-4-244000020000-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-8800-4-4-44-4-4-444444222000000-226-6-66-22-22-2-2-20000-1000011-1-333-30000000000000000000000000000000000000000000000000000000000000000
χ1208-8-8800-4-4-44-4-4-444444222000000-22-666-6-22-22-2-2-20000-1000011-13-3-330000000000000000000000000000000000000000000000000000000000000000

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