Finite Group Databasebeta

← Group #13172184

Character table — Group #13172184

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order1222333666666666233366666666644443666666666666666624446612121212121212121212444466612121212121212121212121212121244441212121212122222121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-111-1-1-111111111-1-1-1-1-1-1-1-1-11111-111111111-1-111-1-1-1-111-1-1-1-1-1-1-11-1
χ31111111111111111111111111111111-1-1111111111111111111-1111111-1-111-1-11111-1-1111-11-1111111-1-1-1-111-1-1-1111-1-1-1-1-1-1-1-1-1-11
χ41111111111111111111111111111111-1-111111111111111111-1-11-1-1-111-1-111-1-1-1-1-1-111-1-1-1-11-11-11111-1-1-1-1-1-1-1-11-1-1-1-1-11111111-1-1
χ511111111111111111111111111111-1-1111111111111111111111-1111-1-111-1-11111-1-1111111-11-11-1-1-1-1111111-1-11-1-1-1-1-111-1-1-1-11-1-1
χ611111111111111111111111111111-1-11111111111111111111-11-1-1-1-1-1-111-1-111-1-111-1-1-1-1-11-11-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-11111-1-11
χ711111111111111111111111111111-1-1-1-1111111111111111111-1-1111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-11-1
χ811111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111
χ91111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-11111111111-1-1-1-111111-1-1-1-1-111-1-111-1-1-1-11-1-11-1-1111111-1-1-1-11
χ101111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1111-1-111-1-1111-11-11111-1-1-1-1111-1-1
χ111111111111111111-111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111-11-1-111-1-1-1-111-1-1-1111-1-1-1-1-1-1-1-111111
χ121111111111111111-111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-11-11-1-111-1-111-1-1111111-1-1-11-11-1111-1-1-1-11111-11-1-111-1-11111-1-1-11-1
χ131111111111111111-1111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-11-11-111-1-111-1-111-1-11111111-11-11-1-1-11111-1-1-1-1-11-1-111-1-111-1-111-11-1
χ141111111111111111-1111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-111-1-11111-1-111-1111-1-1-1-1-1-111-1-1111
χ151111111111111111-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1111-111-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1-111-1-111-1-11-11-11111-1-111-1-11-1-1
χ161111111111111111-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-111111-1-111-1-111111-1-11-1-11111-1-111-1-11
χ17222222-12-122-1222-122-1-12-1-1-122-1-1-10022-122-122-1-1-1-1-1-1-1-1-1-1-12202-1-1002200-1-12200222-1-1-1020-10000-1-1-1-1-1-100200000-1-10000-100
χ18222222-12-122-1222-122-1-12-1-1-122-1-1-10022-122-122-1-1-1-1-1-1-1-1-1-1-1-220-211002200-1-1-2-200-2-2-211-102010000-1-1-1-11100-200000110000100
χ19222222-12-122-1222-122-1-12-1-1-122-1-1-100-2-2-122-122-1-1-1-1-1-1-1-1-1-1-12-202-1-100-2-200112200-2-22-1-110-20-100001111-1-100-200000110000100
χ20222222-12-122-1222-122-1-12-1-1-122-1-1-100-2-2-122-122-1-1-1-1-1-1-1-1-1-1-1-2-20-21100-2-20011-2-20022-21110-201000011111100200000-1-10000-100
χ21222222-12-122-1222-1-22-1-12-1-1-122-1-1-10022-1-2-21-2-21111-1-1-111112-20-2-1-1002200-1-1-2-200222-1-110-2010000-1-1111100-200000-1-10000100
χ22222222-12-122-1222-1-22-1-12-1-1-122-1-1-10022-1-2-21-2-21111-1-1-11111-2-20211002200-1-12200-2-2-21110-20-10000-1-111-1-100200000110000-100
χ23222222-12-122-1222-1-22-1-12-1-1-122-1-1-100-2-2-1-2-21-2-21111-1-1-11111220-2-1-100-2-20011-2-200-2-22-1-1-10201000011-1-11100200000110000-100
χ24222222-12-122-1222-1-22-1-12-1-1-122-1-1-100-2-2-1-2-21-2-21111-1-1-11111-22021100-2-20011220022-211-1020-1000011-1-1-1-100-200000-1-10000100
χ2522222-12-122-1222-122-12-1-12-1-1-1-122-12200-12-12-1-122-1-1-1-1-1-1-1-1-1202222-1-1002200-1-12200-1-1-1020-12-1-1-1-10000-1-10002-1-10000000000-1
χ2622222-12-122-1222-122-12-1-12-1-1-1-122-12200-12-12-1-122-1-1-1-1-1-1-1-1-1-202-2-2-2-1-100220011-2-200111020-1-2-1-1-1-1000011000-21100000000001
χ2722222-12-122-1222-122-12-1-12-1-1-1-122-1-2-200-12-12-1-122-1-1-1-1-1-1-1-1-120-22221100-2-200-1-1-2-200-1-1-10-201211110000-1-1000-21100000000001
χ2822222-12-122-1222-122-12-1-12-1-1-1-122-1-2-200-12-12-1-122-1-1-1-1-1-1-1-1-1-20-2-2-2-21100-2-2001122001110-201-211110000110002-1-10000000000-1
χ2922222-12-122-1222-12-2-12-1-12-1-1-1-122-12200-1-21-211-2-211-1-1-1111120-2-222-1-100220011-2-200-1-1-10-201-2-1-1110000110002110000000000-1
χ3022222-12-122-1222-12-2-12-1-12-1-1-1-122-12200-1-21-211-2-211-1-1-11111-20-22-2-2-1-1002200-1-122001110-2012-1-1110000-1-1000-2-1-100000000001
χ3122222-12-122-1222-12-2-12-1-12-1-1-1-122-1-2-200-1-21-211-2-211-1-1-11111202-2221100-2-200112200-1-1-1020-1-211-1-1000011000-2-1-100000000001
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χ332222-12222-122-1-1222-1-12-1-122-1-1-1-122222-1-122-1-1-1-122-1-1-1-1-1-1-102200022-1-1-1-1220000000002-1-120-1-1-1-1-1-1-1-100220000-1-10000000-10
χ342222-12222-122-1-1222-1-12-1-122-1-1-1-1222-2-2-1-122-1-1-1-122-1-1-1-1-1-1-10-220002211-1-1-2-2000000000-2-1120-1-1-1-1111100-2-2000011000000010
χ352222-12222-122-1-1222-1-12-1-122-1-1-1-12-2-222-1-122-1-1-1-122-1-1-1-1-1-1-102-2000-2-2-1-1112200000000021-1-201111-1-1-1-100-2-2000011000000010
χ362222-12222-122-1-1222-1-12-1-122-1-1-1-12-2-2-2-2-1-122-1-1-1-122-1-1-1-1-1-1-10-2-2000-2-21111-2-2000000000-211-201111111100220000-1-10000000-10
χ372222-12222-122-1-122-2-1-12-1-122-1-1-1-122222-11-2-21111-2-2-1-1-111110-2-200022-1-1-1-122000000000-211-20-1-111-1-111002-20000-1-1000000010
χ382222-12222-122-1-122-2-1-12-1-122-1-1-1-1222-2-2-11-2-21111-2-2-1-1-1111102-20002211-1-1-2-200000000021-1-20-1-11111-1-100-220000110000000-10
χ392222-12222-122-1-122-2-1-12-1-122-1-1-1-12-2-222-11-2-21111-2-2-1-1-111110-22000-2-2-1-11122000000000-2-112011-1-1-1-11100-220000110000000-10
χ402222-12222-122-1-122-2-1-12-1-122-1-1-1-12-2-2-2-2-11-2-21111-2-2-1-1-11111022000-2-21111-2-20000000002-1-12011-1-111-1-1002-20000-1-1000000010
χ4122-2-22222-2-2-222-2-2-20222-222-22-2-2-2-2002i−2i20000000002-2-20000000000002i−2i002i−2i002i−2i000000000000002i−2i000000002i−2i0000002-2000
χ4222-2-22222-2-2-222-2-2-20222-222-22-2-2-2-2002i−2i20000000002-2-20000000000002i−2i002i−2i00−2i2i000000000000002i−2i00000000−2i2i000000-22000
χ4322-2-22222-2-2-222-2-2-20222-222-22-2-2-2-200−2i2i20000000002-2-2000000000000−2i2i00−2i2i002i−2i00000000000000−2i2i000000002i−2i000000-22000
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χ452-22-2222-22-22-2-22-2-202222-2-22-2-22-2-22i−2i002000000000-22-200000000002i−2i002i−2i0000002i−2i000000002i−2i00000000000000002i−2i2-200000
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χ4944444-2-2-2-24-2-244-2-24-2-21-2-211-2-2-2-21000014-2-2-2-2-2-21111111114004-2-200000000-2-20000-2110000-2000000001100000000000000000
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χ1018-88-8-4-4-44-44-444-44402222-2-22-2-22-2-20000-1000-6600001-113-33-30000000000000000000000000000000000000000000000000000000
χ1028-8-88-48-4-84-4-84448-40-42-44-2444-4-22-400002000000000-2-2200000000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-484-8-44-844-4802-4-4-2444-224-4-400002000000000-2-2200000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-444-44444-4-40222-2-2-2-2-22-2220000-100000006-611-1-333-30000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-444-44444-4-40222-2-2-2-2-22-2220000-10000000-6611-13-3-330000000000000000000000000000000000000000000000000000000

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