Finite Group Databasebeta

← Group #13169273

Character table — Group #13169273

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order122233366666666633346666666664444366612121212121212121212121212444412121212121212121212121244441212121212121212121212121212121212122224661212121222446612
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1111-1-11111-1-111-1-1-1-111-11-1111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-11-1
χ31111111111111111111111111111111-1-111111111111111111111-1-1-11111-1-1111111-1-11-1111-111-1-111-1-11111-1-1-11-1-111-1-1-1-1-1-1-1-11
χ41111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-111-1-1-1-111-1-1111-1-11-1-111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-11111111-1-1
χ511111111111111111111111111111-1-11111111111111111111-11111111-1-11111-1-1-1-111-111-111-1-111-1-1111111-1-11-1-1-1-1-111-1-1-1-11-1-1
χ611111111111111111111111111111-1-11111111111111111111-1-1-1111-1-1-1-111-1-1-1-111-1-1-11-1-1-11-1-111-1-111-1-1-1-1-1-1-11-1-111-1-11111-1-11
χ711111111111111111111111111111-1-1-1-111111111111111111-111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-11-1
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
χ91111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-111-1-111-1-1-1-11-1-1-1-1-1111111-1-11-1-1111-1-11111-1-1-1-11
χ101111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11111111111-1-1-1-11-1-1-1-1-1-1-11111-1-1111-11-11111-1-1-1-1111-1-1
χ111111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-111-1-1-1-1-11-1-111-1-11111-1-111-1-1-1111-1-1-1-1-1-1-1-111111
χ121111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-111-1-11-1-11111-1-1-1-111-11-1-1-1-1111111-1-1-11-1
χ131111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111111-1-111-111-1-1-1-11111-1-1-11-1-1-1-11111-1-111-11-1
χ141111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-11111-1-1-1-1-1-11-111-1-111-1-1-1-111-1-111-1111-1-1-1-1-1-111-1-1111
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-111-1-1-1-1-1-1-1-111-1-111-11111111-1-1-1-111-1-11-11-11111-1-111-1-11-1-1
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-111-1-1-1-1111111-111111-1-1-1-1-1-1111-1-1111-1-111-1-111-1-11
χ17222222-1-1-122-122222-1-122-1-12-1-1-1-122222-1-1-1-12-1222-1-1-1-1-1-1-1-120022200-1-1-1-100220000-1-10202-1-1-1-1-1-1-1-100002200-1-1000000000-10
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χ19222222-1-1-122-122222-1-122-1-12-1-1-1-12-2-222-1-1-1-12-1222-1-1-1-1-1-1-1-1-2002220011-1-100-2-200001-10-20211-1-111-1-10000-2-2001100000000010
χ20222222-1-1-122-122222-1-122-1-12-1-1-1-12-2-2-2-2-1-1-1-12-1222-1-1-1-1-1-1-1-1-200-2-2-200111100-2-20000110-20-21111111100002200-1-1000000000-10
χ21222222-1-1-122-122222-1-1-22-1-12-1-1-1-122222-1-1-1-1-21-2-2-211111111-200-22200-1-1-1-100220000110-20-21111-1-1-1-100002-200-1-100000000010
χ22222222-1-1-122-122222-1-1-22-1-12-1-1-1-1222-2-2-1-1-1-1-21-2-2-211111111-2002-2-200-1-111002200001-10-20211-1-1-1-1110000-220011000000000-10
χ23222222-1-1-122-122222-1-1-22-1-12-1-1-1-12-2-222-1-1-1-1-21-2-2-211111111200-2220011-1-100-2-20000-11020-2-1-11111-1-10000-220011000000000-10
χ24222222-1-1-122-122222-1-1-22-1-12-1-1-1-12-2-2-2-2-1-1-1-1-21-2-2-2111111112002-2-200111100-2-20000-1-10202-1-1-1-1111100002-200-1-100000000010
χ2522222-1222-1-1222-12-12-12-12-1-12-12-1-10022-1-1-1-1-122-1-122-1-1-1-1-1-10222-1-1-1-100222200002202-102-100-1-100-1-1-1-1-1-100200000-1-10000-100
χ2622222-1222-1-1222-12-12-12-12-1-12-12-1-10022-1-1-1-1-122-1-122-1-1-1-1-1-10-2-22-1-1110022-2-20000-2-20210-2-100-1-100-1-1111100-200000110000100
χ2722222-1222-1-1222-12-12-12-12-1-12-12-1-100-2-2-1-1-1-1-122-1-122-1-1-1-1-1-1022-211-1-100-2-2220000-2-20-2-102100110011-1-1-1-100-200000110000100
χ2822222-1222-1-1222-12-12-12-12-1-12-12-1-100-2-2-1-1-1-1-122-1-122-1-1-1-1-1-10-2-2-2111100-2-2-2-20000220-210-2100110011111100200000-1-10000-100
χ2922222-1222-1-1222-12-12-1-2-12-1-12-12-1-10022-1-1-1-11-2-211-2-211111102-2-2-1-1-1-10022-2-20000220-21021001100-1-1-1-11100-200000-1-10000100
χ3022222-1222-1-1222-12-12-1-2-12-1-12-12-1-10022-1-1-1-11-2-211-2-21111110-22-2-1-1110022220000-2-20-2-10-21001100-1-111-1-100200000110000-100
χ3122222-1222-1-1222-12-12-1-2-12-1-12-12-1-100-2-2-1-1-1-11-2-211-2-211111102-2211-1-100-2-2-2-20000-2-202102-100-1-10011-1-11100200000110000-100
χ3222222-1222-1-1222-12-12-1-2-12-1-12-12-1-100-2-2-1-1-1-11-2-211-2-21111110-222111100-2-22200002202-10-2-100-1-1001111-1-100-200000-1-10000100
χ332222-12222222-1-12-1-1-122-1-12-1-12-12-12200-1-1-1-122-1-1-1-1-122-1-1-1-1222000222200-1-1-1-12200202-1-10-1-100-1-100-1-1-1-1000200-1-100000000-1
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χ352222-12222222-1-12-1-1-122-1-12-1-12-12-1-2-200-1-1-1-122-1-1-1-1-122-1-1-1-1-22200022-2-200-1-111-2-200-2021-1011001100-1-1-1-1000-20011000000001
χ362222-12222222-1-12-1-1-122-1-12-1-12-12-1-2-200-1-1-1-122-1-1-1-1-122-1-1-1-1-2-2-2000-2-2-2-20011112200-20-2110110011001111000200-1-100000000-1
χ372222-12222222-1-12-1-1-12-2-1-12-1-12-12-12200-1-1-1-1-2-211111-2-21111-22-200022220011-1-1-2-200-20-21-101100-1-100-1-1110002001100000000-1
χ382222-12222222-1-12-1-1-12-2-1-12-1-12-12-12200-1-1-1-1-2-211111-2-21111-2-22000-2-22200-1-1-1-12200-2021101100-1-10011-1-1000-200-1-1000000001
χ392222-12222222-1-12-1-1-12-2-1-12-1-12-12-1-2-200-1-1-1-1-2-211111-2-2111122-200022-2-2001111220020-2-1-10-1-1001100-1-111000-200-1-1000000001
χ402222-12222222-1-12-1-1-12-2-1-12-1-12-12-1-2-200-1-1-1-1-2-211111-2-211112-22000-2-2-2-200-1-111-2-200202-110-1-100110011-1-10002001100000000-1
χ4122-2-22222-2-22-22-2-2-22220-2-22-22-2-2-222i−2i0022-2-20000000000000000000002i−2i00002i−2i002i−2i00000000002i−2i000000000000002i−2i2-200000
χ4222-2-22222-2-22-22-2-2-22220-2-22-22-2-2-222i−2i0022-2-20000000000000000000002i−2i00002i−2i00−2i2i00000000002i−2i00000000000000−2i2i-2200000
χ4322-2-22222-2-22-22-2-2-22220-2-22-22-2-2-22−2i2i0022-2-2000000000000000000000−2i2i0000−2i2i002i−2i0000000000−2i2i000000000000002i−2i-2200000
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χ1018-88-8-4-4-44-44444-4-44222022-2-2-22-2-2-20000-11-110000000−6i6i3i−3i3i−3i0000000000000000000000000000000000000000000000000000000
χ1028-8-888-4-444-44-4-8-848-4-42044-2-44-2-42400002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-48-4448-8-444-8-4-42-404-24-4-242-4400002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-444-44-4444-42220-2-2-22-2-222-20000-111-10006-60000-333-30000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-444-44-4444-42220-2-2-22-2-222-20000-111-1000-6600003-3-330000000000000000000000000000000000000000000000000000000

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