Finite Group Databasebeta

← Group #13172909

Character table — Group #13172909

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222224444444444444444444444666688888888888812121212121212121212121212121212121212121818181824242424242424242424242424242424272727273636363636363636545472727272
order1222223336666666663336666666666666666666444436666666666624441212121212121212121212121212121222226666121212121212121212121212444424446666446121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-111111-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111
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
χ61111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-111-1-1-1-11111-1-111-1-1-1-111-1-111
χ71111111111111111111111111111111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111111111-1-1-1-1-1-11111-1-1
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
χ91111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-111111111-1-11-1-1-1-1111-1-1-1-11-11-111-1-111-1-11111-1-1-1-111-1-11111-11-1-11-1-1-111-1-11111-11-1111-1-1-1-1-11-11
χ101111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-111111111-1-11-1-1-1-1111-1-1-1-11-1-1111-1-111-1-11111-1-1-1-1-1-1111111-1-11-1-11-1-1-1-111-1-1-1-1-111-1-1-11111-111-1
χ111111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-111111111-1-11-1-1-1-1111-1-1-1-1-111-111-1-111-1-11111-1-1-1-1-1-111-1-1-1-111-111-11111-1-1-1-1-1-11-1-11-1-111111-1-11
χ121111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-111111111-1-11-1-1-1-1111-1-1-1-1-11-1111-1-111-1-11111-1-1-1-111-1-1-1-1-1-11-111-1111-1-11111111-11-111-1-1-1-11-11-1
χ131111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1111-1-1-1-1111-1-1-1-11-11-1-1-111-1-111-1-1-1-1111111-1-11111-11-1-11-1-1-111-1-1-1-1-1-11-11-111-1-1111-11-1
χ141111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1111-1-1-1-1111-1-1-1-11-1-11-1-111-1-111-1-1-1-11111-1-1111111-1-11-1-11-1-1-1-11111111-1-11-1-111-1-11-1-11
χ151111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1111-1-1-1-1111-1-1-1-1-111-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-111-111-11111-1-11111-111-1-1-111-1-1-111-1
χ161111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1111-1-1-1-1111-1-1-1-1-11-11-1-111-1-111-1-1-1-1111111-1-1-1-1-1-11-111-1111-1-111-1-1-1-1-11-1111-1-111-11-11
χ1722222222-122-1-1-122222-1-12222-1-122-12222-1-1-1-1-120000-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000022222-1-1-1-1-1-1222-1-1-1-1-1-100000000-1-1-1-1000000
χ1822222222-122-1-1-122222-1-12222-1-122-12222-1-1-1-1-120000-1-1-1-1-1-1-1-1-1-1-1-122-2-20000000000000000-2-2-2-22-1-1-1-1112-2-2-1-11111000000001111000000
χ1922222222-122-1-1-122222-1-12222-1-122-12222-1-1-1-1-120000-1-1-1-1-1-1-1-1-1-1-1-1-2-2220000000000000000-2-2-2-2-21111-1-1-22211-1-1-1-1000000001111000000
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χ222222222-122-1222-12-12-12-122-1-122-1-12-1-1-1-1-1-122-1-12222-122-1-1-1-1-1-1-1-1-1-2-200-1-1-1-12222-1-1-1-1-1-1-1-100001-211-2001001100000000-2-2000000001100
χ232222222-122-1222-12-12-12-122-1-122-1-12-1-1-1-1-1-122-1-1-2-2-2-2-122-1-1-1-1-1-1-1-1-122001111-2-2-2-2111111110000-12-1-1200-100-1-100000000-2-2000000001100
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χ25222222-122-122222-12-1-1-12-1-12222-1-1-1-1-1-1-122-1-12-12222-1-1-122-1-1-1-1-1-1-100222222-1-1-1-1-1-1-1-1-1-1-1-1000000000220-1-100-1-1-1-10000002200000000-1-1
χ26222222-122-122222-12-1-1-12-1-12222-1-1-1-1-1-1-122-1-12-12222-1-1-122-1-1-1-1-1-1-100-2-22222-1-1-1-1-1-1-1-1-1-1-1-1000000000-2-2011001111000000-2-20000000011
χ27222222-122-122222-12-1-1-12-1-12222-1-1-1-1-1-1-122-1-12-1-2-2-2-2-1-1-122-1-1-1-1-1-1-10022-2-2-2-2111111111111000000000220-1-100-1-1-1-1000000-2-20000000011
χ28222222-122-122222-12-1-1-12-1-12222-1-1-1-1-1-1-122-1-12-1-2-2-2-2-1-1-122-1-1-1-1-1-1-100-2-2-2-2-2-2111111111111000000000-2-20110011110000002200000000-1-1
χ292222-2-222-122-1-1-122222-1-1-2-2-2-21122-1-2-2-2-2-1-1-1-1-120000-11111-1-1-111112-22-2000000000000000022-2-22-1-1-11-11-22-211-1-11100000000-1-111000000
χ302222-2-222-122-1-1-122222-1-1-2-2-2-21122-1-2-2-2-2-1-1-1-1-120000-11111-1-1-111112-2-220000000000000000-2-2222-1-1-111-1-2-221111-1-10000000011-1-1000000
χ312222-2-222-122-1-1-122222-1-1-2-2-2-21122-1-2-2-2-2-1-1-1-1-120000-11111-1-1-11111-222-20000000000000000-2-222-2111-1-1122-2-1-1-1-1110000000011-1-1000000
χ322222-2-222-122-1-1-122222-1-1-2-2-2-21122-1-2-2-2-2-1-1-1-1-120000-11111-1-1-11111-22-22000000000000000022-2-2-2111-11-12-22-1-111-1-100000000-1-111000000
χ332222-2-22-122-1222-12-12-12-1-2-211-2-2-1-121111-1-122-1-122-2-2-1-2-211-1-1-111112-200-1-11122-2-2-1-1-1-111110000-12-1-1-2001001100000000-22000000001-100
χ342222-2-22-122-1222-12-12-12-1-2-211-2-2-1-121111-1-122-1-122-2-2-1-2-211-1-1-11111-2200-1-11122-2-2-1-1-1-1111100001-211200-100-1-1000000002-200000000-1100
χ352222-2-22-122-1222-12-12-12-1-2-211-2-2-1-121111-1-122-1-1-2-222-1-2-211-1-1-111112-20011-1-1-2-2221111-1-1-1-10000-12-1-1-20010011000000002-200000000-1100
χ362222-2-22-122-1222-12-12-12-1-2-211-2-2-1-121111-1-122-1-1-2-222-1-2-211-1-1-11111-220011-1-1-2-2221111-1-1-1-100001-211200-100-1-100000000-22000000001-100
χ372222-2-2-122-122222-12-1-1-1211-2-2-2-2-1-1-1111122-1-12-122-2-2-111-2-2-1-1-11111002-222-2-2-1-111-1-1-1-111110000000002-20-1100-1-111000000-22000000001-1
χ382222-2-2-122-122222-12-1-1-1211-2-2-2-2-1-1-1111122-1-12-122-2-2-111-2-2-1-1-1111100-2222-2-2-1-111-1-1-1-11111000000000-2201-10011-1-10000002-200000000-11
χ392222-2-2-122-122222-12-1-1-1211-2-2-2-2-1-1-1111122-1-12-1-2-222-111-2-2-1-1-11111002-2-2-22211-1-11111-1-1-1-10000000002-20-1100-1-1110000002-200000000-11
χ402222-2-2-122-122222-12-1-1-1211-2-2-2-2-1-1-1111122-1-12-1-2-222-111-2-2-1-1-1111100-22-2-22211-1-11111-1-1-1-1000000000-2201-10011-1-1000000-22000000001-1
χ4122-2-200222-222-2-2-22-2-22220000002-2-200002-22-2-2-22i−2i00200002-2-2000000002i−2i002i−2i002i2i−2i−2i00002-20000000000000000002i2i−2i−2i00002-200000000
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χ904-44-4-44-24-2-2-42-22-4242-21-22-2-442-22-2122-2-222-1-1-2200001-112-2-11-1-1-111000000000000000000000000000000000000−3i3i3i−3i000000000000000000
χ914-44-4-44-2-24-22-44-422-221-2-22-22-2-44-11-2-1-1112222-2-1000012-22-2-11-1-1-1110000000000003i−3i3i−3i−3i3i3i−3i00000000000000000000000000000000000000
χ924-44-4-44-2-24-22-44-422-221-2-22-22-2-44-11-2-1-1112222-2-1000012-22-2-11-1-1-111000000000000−3i3i−3i3i3i−3i−3i3i00000000000000000000000000000000000000
χ934-4-440044-2-4-422-24-4-444-2-2000000-4-4200002-22-2240000-2000022-2000000000000000000000000004-400000000000000000000000000-22000000
χ944-4-440044-2-4-422-24-4-444-2-2000000-4-4200002-22-2240000-2000022-200000000000000000000000000-44000000000000000000000000002-2000000
χ954-4-44004-24-42-4-44-2-424-24-200000022-400002-2-442-2004-4-2000022-20000000000-22004-40000-2-22200000000000000000000000000000000000000
χ964-4-44004-24-42-4-44-2-424-24-200000022-400002-2-442-200-44-2000022-200000000002-200-44000022-2-200000000000000000000000000000000000000
χ974-4-4400-2442-4-4-4442-4-2-2-240000002220000-442-2-4-2004-4-2000022-200000000004-400-220000-2-22200000000000000000000000000000000000000
χ984-4-4400-2442-4-4-4442-4-2-2-240000002220000-442-2-4-200-44-2000022-20000000000-44002-2000022-2-200000000000000000000000000000000000000
χ994-4-4400-2-2422-4-44-222-21-2-2000000-1-123-3-332-22-221004-410000-1-113-3-33000000-2200-223-3-3311-1-100000000000000000000000000000000000000
χ1004-4-4400-2-2422-4-44-222-21-2-2000000-1-123-3-332-22-22100-4410000-1-113-3-330000002-2002-2-333-3-1-11100000000000000000000000000000000000000
χ1014-4-4400-2-2422-4-44-222-21-2-2000000-1-12-333-32-22-221004-410000-1-11-333-3000000-2200-22-333-311-1-100000000000000000000000000000000000000
χ1024-4-4400-2-2422-4-44-222-21-2-2000000-1-12-333-32-22-22100-4410000-1-11-333-30000002-2002-23-3-33-1-11100000000000000000000000000000000000000
χ103888888-4-4-4-4-4-4-4-4-4-4-4-4222-4-4-4-4-4-422222222222220000-12222-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ1048888-8-8-4-4-4-4-4-4-4-4-4-4-4-4222444444222-2-2-2-22222220000-1-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000000000
χ10588-8-8008-4-4-8-4-444484-8-4-42000000-44400002-2-44-240000200002-2-200000000000000000000000000000000000000000000000000000000000000
χ10688-8-800-48-448-444-8-4-84-42-4000000-44-20000-442-2440000200002-2-200000000000000000000000000000000000000000000000000000000000000
χ10788-8-800-4-4-44-4-4444-4442220000002-2-26-66-62-22-2-2-20000-10000-111-33-330000000000000000000000000000000000000000000000000000000000
χ10888-8-800-4-4-44-4-4444-4442220000002-2-2-66-662-22-2-2-20000-10000-1113-33-30000000000000000000000000000000000000000000000000000000000
χ1098-88-88-8-4-4-4-444-4444-44222-44-44-44-22222-2-2-2-2-2-22-20000-12-22-21-11-1-1110000000000000000000000000000000000000000000000000000000000
χ1108-88-8-88-4-4-4-444-4444-442224-44-44-4-222-2-222-2-2-2-22-20000-1-22-221-1111-1-10000000000000000000000000000000000000000000000000000000000
χ1118-8-88008-4-4-8444-4-4-848-4-420000004440000-224-4-2-4000020000-2-2200000000000000000000000000000000000000000000000000000000000000
χ1128-8-8800-48-44-844-484-8-4-42-400000044-200004-4-224-4000020000-2-2200000000000000000000000000000000000000000000000000000000000000
χ1138-8-8800-4-4-44444-4-444-4222000000-2-2-26-6-66-22-22-220000-1000011-1-333-30000000000000000000000000000000000000000000000000000000000
χ1148-8-8800-4-4-44444-4-444-4222000000-2-2-2-666-6-22-22-220000-1000011-13-3-330000000000000000000000000000000000000000000000000000000000

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