Finite Group Databasebeta

← Group #13172250

Character table — Group #13172250

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444466888888888888888812121212121212121212121212181818181818181824242424242424242424242424242424242424243636363636363636363654547272108
order122233366666666623336666666666644366666666666666644444121212121212121222444444121212121212121212121212121212121212121244661212121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-111-1111111-1-1-1-1-1-1-1-1111-111-111-111111111-1-1-1-11-1-1-111-1-1-1-1-1-11-1-1
χ31111111111111111111111111111111111111111111111111-111-1111-1-1111111-1-1-1-1-1-111-1-111-111111-1-1-1-11111-1111-1-1-1-1-1-1-1-1-11-1
χ41111111111111111111111111111111111111111111111111-1-11-1-111-1-111-1-1-1-11111-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111111111111-1-1111111111111111111-111-1-111-1-111-1-11111-1-1-11111-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1
χ61111111111111111111111111111111-1-111111111111111111-1-11-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-11-1-1-1-1-11111-1-1-1-1-1111-1-1-1-1-1-111-111
χ71111111111111111111111111111111-1-11111111111111111-11-1-11-1-1-1-1-1-111-1-1-1-1-1-111-11-1-11-1-11-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1111-11
χ81111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1
χ91111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1111111-1-1-1-111-1-111-11-1-1-1-11111-1-111-1-111-1-1-11-1-11111-1-111-11-1
χ101111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-111111111111-1-11111-1-1-1-11-11-111-1-111-1-1-1-111-1-11111-1-111-1-1-1-11
χ111111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11-11-111-1-111-1-1-1-1-1-111-1-1-1111-1-1-1111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1111
χ121111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1111-1-1-111-1-1-1-111-1-1111-111-1-111-1-1111-1-1
χ131111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1111-1-11111-1-111-1-11-111-1-111-1-1-1-11-11
χ141111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-11-11-11-1-111-1-111-1-1-1-111-1-11-1-1-1111-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1
χ151111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1-1-1-1-111-1-111111111-11-11-1-111-1-11111-1-1-1-11111-1-11111-1-1-1
χ161111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-1111-11111-1-1-1-111-1-111-1-111-11-1-11111-1-1-1-1-111
χ17222222-12-1-12222-1222-1-1222-1-122-1-1-1-122-12-122-1-1-1-1-1-1-1-1-1-1-1022022200-1-1-1-122000000-1-1002202-1-1-1-10000-1-1-1-102-1-1000000000-10
χ18222222-12-1-12222-1222-1-1222-1-122-1-1-1-122-12-122-1-1-1-1-1-1-1-1-1-1-10-220-22200-1-111-2-2000000-1100-220-2-1-1-1-1000011110-21100000000010
χ19222222-12-1-12222-1222-1-1222-1-122-1-1-1-1-2-2-12-122-1-1-1-1-1-1-1-1-1-1-102-202-2-20011-1-1-2-20000001-1002-20211110000-1-1-1-10-21100000000010
χ20222222-12-1-12222-1222-1-1222-1-122-1-1-1-1-2-2-12-122-1-1-1-1-1-1-1-1-1-1-10-2-20-2-2-2001111220000001100-2-20-211110000111102-1-1000000000-10
χ21222222-12-1-12222-12-22-1-1-2-22-1-122-1-1-1-122-1-21-2-21111-1-1-1111102-20-22200-1-111-2-20000001-100-2-202-1-1110000-1-1110211000000000-10
χ22222222-12-1-12222-12-22-1-1-2-22-1-122-1-1-1-122-1-21-2-21111-1-1-111110-2-2022200-1-1-1-12200000011002-20-2-1-111000011-1-10-2-1-100000000010
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χ24222222-12-1-12222-12-22-1-1-2-22-1-122-1-1-1-1-2-2-1-21-2-21111-1-1-111110-2202-2-20011-1-1-2-2000000-1100220-211-1-1000011-1-10211000000000-10
χ2522222-122222-1-1-1222-12-122-12-1-1-122-1-122-1-12-1-122-1-1-1-1-1-1-1-1-120220-1-1-1-1220000000022202-10-120-1-1-1-1-1-1-1-100002000-1-1000000-100
χ2622222-122222-1-1-1222-12-122-12-1-1-122-1-122-1-12-1-122-1-1-1-1-1-1-1-1-1-202-20-1-1112200000000-2-220-210-1-20-1-1-1-111110000-200011000000100
χ2722222-122222-1-1-1222-12-122-12-1-1-122-1-1-2-2-1-12-1-122-1-1-1-1-1-1-1-1-120-22011-1-1-2-200000000-2-2-202-101201111-1-1-1-10000-200011000000100
χ2822222-122222-1-1-1222-12-122-12-1-1-122-1-1-2-2-1-12-1-122-1-1-1-1-1-1-1-1-1-20-2-201111-2-20000000022-20-2101-201111111100002000-1-1000000-100
χ2922222-122222-1-1-122-2-12-1-2-2-12-1-1-122-1-122-11-211-2-211-1-1-1111120-2-20-1-1-1-1220000000022-20-210120-1-111-1-1110000-2000-1-1000000100
χ3022222-122222-1-1-122-2-12-1-2-2-12-1-1-122-1-122-11-211-2-211-1-1-11111-20-220-1-1112200000000-2-2-202-101-20-1-11111-1-10000200011000000-100
χ3122222-122222-1-1-122-2-12-1-2-2-12-1-1-122-1-1-2-2-11-211-2-211-1-1-11111202-2011-1-1-2-200000000-2-220-210-12011-1-1-1-1110000200011000000-100
χ3222222-122222-1-1-122-2-12-1-2-2-12-1-1-122-1-1-2-2-11-211-2-211-1-1-11111-202201111-2-20000000022202-10-1-2011-1-111-1-10000-2000-1-1000000100
χ332222-122-122-12222-12-1-12-1-1-1-12-1-1-1-12200-122-1-1-1-122-1-1-1-1-1-1-122022002200220022220002-12-10-1-10000-1-1-1-1-1-1-1-1000000-1-1-1-100000
χ342222-122-122-12222-12-1-12-1-1-1-12-1-1-1-12200-122-1-1-1-122-1-1-1-1-1-1-12-202-2002200-2-200-2-2-2-2000-2-1210-110000-1-1-1-11111000000111100000
χ352222-122-122-12222-12-1-12-1-1-1-12-1-1-1-12200-122-1-1-1-122-1-1-1-1-1-1-1-220-2200-2-2002200-2-2-2-200021-2-101-100001111-1-1-1-1000000111100000
χ362222-122-122-12222-12-1-12-1-1-1-12-1-1-1-12200-122-1-1-1-122-1-1-1-1-1-1-1-2-20-2-200-2-200-2-2002222000-21-21011000011111111000000-1-1-1-100000
χ372222-122-122-12222-1-2-1-1211-1-12-1-1-1-12200-1-2-21111-2-2-1-1-11111220-2-2002200-2-20022-2-200021-210-1-10000-1-111-1-111000000-1-11100000
χ382222-122-122-12222-1-2-1-1211-1-12-1-1-1-12200-1-2-21111-2-2-1-1-111112-20-220022002200-2-222000-21-2-10-110000-1-11111-1-100000011-1-100000
χ392222-122-122-12222-1-2-1-1211-1-12-1-1-1-12200-1-2-21111-2-2-1-1-11111-2202-200-2-200-2-200-2-2220002-12101-1000011-1-1-1-11100000011-1-100000
χ402222-122-122-12222-1-2-1-1211-1-12-1-1-1-12200-1-2-21111-2-2-1-1-11111-2-202200-2-200220022-2-2000-2-12-1011000011-1-111-1-1000000-1-11100000
χ4122-2-2222-22-2-2-22-2-22022200-2-222-22-2-2-22i−2i2000000002-2-20000000002i−2i002i−2i00002-20000000000002i−2i00000000000000002-2002i−2i000
χ4222-2-2222-22-2-2-22-2-22022200-2-222-22-2-2-22i−2i2000000002-2-20000000002i−2i002i−2i0000-220000000000002i−2i0000000000000000-2200−2i2i000
χ4322-2-2222-22-2-2-22-2-22022200-2-222-22-2-2-2−2i2i2000000002-2-2000000000−2i2i00−2i2i00002-2000000000000−2i2i00000000000000002-200−2i2i000
χ4422-2-2222-22-2-2-22-2-22022200-2-222-22-2-2-2−2i2i2000000002-2-2000000000−2i2i00−2i2i0000-22000000000000−2i2i0000000000000000-22002i−2i000
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χ4944444-2-24-2-24-2-2-2-244-2-2144-2-21-2-2-2-211441-2-2-2-2-2-211111111100400-2-200-2-20000000000-20000-200111100000000000000000000000
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χ5144444-2-24-2-24-2-2-2-24-4-2-21-4-4-2-21-2-2-2-211441222222-1-1111-1-1-1-100-400-2-200-2-200000000002000020011-1-100000000000000000000000
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χ1018-8-888-4-4-8448-444-4-80-4-420044-24-44-42-200200000000-22-2000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-48-4444-48-8-8-440-42-4004-244-4-22-4400200000000-22-2000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-484-8-8-4-4448402-4-400-244-224-4-4400200000000-22-2000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4444-4-444-44022200-2-2-2-22-222-200-1000000001-11−3i33i33i3−3i300000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4444-4-444-44022200-2-2-2-22-222-200-1000000001-113i3−3i3−3i33i300000000000000000000000000000000000000000000000000000000

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