Finite Group Databasebeta

← Group #13172248

Character table — Group #13172248

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order12223336666666662333666666666444436666666666666666444412121212121212121212121244441212121212121212121212121212121212122444121212121212444461212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-111-1-1111111-1-1-1-1-1-11-1111-111111111-1-1-1-1-11-1111-1-1-1-1-1-1-1-1-11-1
χ31111111111111111111111111111111-1-111111111111111111-1111111111-1-1-1-111-1-111-111-1111111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1-11-1-1
χ41111111111111111111111111111111-1-111111111111111111-11-1-111-1-111-1-1-1-1-1-111-1-1-1-11-11-11111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-11
χ511111111111111111111111111111-1-111111111111111111111-111-1-111-1-111111111-1-111-11-11-1-1-1-111111111-1-11-1-1-111-1-1-1-1-1-1-1-11
χ611111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-11-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-11111111-1-1
χ711111111111111111111111111111-1-1-1-111111111111111111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-11-1-1-11-1-1-1-1-1-1-1-11111-11-1111-1-1-1-11111-11-1
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
χ91111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-111-1-11111111111-1-1-1-1-1-1-1111-1-111-1-111-1-111-1-11111-1-111-1-11-1-1
χ101111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111111111111-1-1-1-111-11-1-1-1-111-1-111-1-1-1-111-111-111-1-111-1-111-1-11
χ111111111111111111-111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-11-11-111-1-111-1-1-1-111-1-1-1-11-1-11-1111-1-1-1-11111-1-11-111-1-1-1-1-1-1-1-111111
χ121111111111111111-111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-11111111-1-1-1-1-1-1111111-11-1-111-1-1-1-111-1-111-1-1-11-1-1111111-1-1-11-1
χ131111111111111111-1111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-11111111111-1-11-111-1-11111-1-111-1-1-1-1-11-1-11111-1-111-11-1
χ141111111111111111-1111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-11-11-1-111-1-11111-1-1-1-1-1-1-111-11-1-1-11111-1-1-1-1111-111-1-1-1-1-1-111-1-1111
χ151111111111111111-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-1111-11111-1-111-1-11111-1-1-111-111-1-11111-1-1-1-11
χ161111111111111111-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-111-11-1-111-1-1-1-1-1-1-1-111-1-111111-1-1-111-1-111-1-11111-1-11111-1-1-1-1111-1-1
χ17222222-1-1-1222222-122-1-12-1-122-1-1-1-12200-122-122-1-1-1-1-1-1-1-1-1-1-10222-1-1-1-12200002200220220-1-1-1-1-1-10000-1-1-1-120000000-1-10000-100
χ18222222-1-1-1222222-122-1-12-1-122-1-1-1-12200-122-122-1-1-1-1-1-1-1-1-1-1-102-2-2-1-111220000-2-200-2-20-220-11-1-1-1-100001111-20000000110000100
χ19222222-1-1-1222222-122-1-12-1-122-1-1-1-1-2-200-122-122-1-1-1-1-1-1-1-1-1-1-10-22211-1-1-2-200002200-2-202-201-111110000-1-1-1-1-20000000110000100
χ20222222-1-1-1222222-122-1-12-1-122-1-1-1-1-2-200-122-122-1-1-1-1-1-1-1-1-1-1-10-2-2-21111-2-20000-2-200220-2-201111110000111120000000-1-10000-100
χ21222222-1-1-1222222-1-22-1-12-1-122-1-1-1-12200-1-2-21-2-21111-1-1-111110-22-2-1-1112200002200-2-20-2-201-1-1-1110000-1-11120000000110000-100
χ22222222-1-1-1222222-1-22-1-12-1-122-1-1-1-12200-1-2-21-2-21111-1-1-111110-2-22-1-1-1-1220000-2-2002202-2011-1-111000011-1-1-20000000-1-10000100
χ23222222-1-1-1222222-1-22-1-12-1-122-1-1-1-1-2-200-1-2-21-2-21111-1-1-11111022-21111-2-200002200220-220-1-111-1-10000-1-111-20000000-1-10000100
χ24222222-1-1-1222222-1-22-1-12-1-122-1-1-1-1-2-200-1-2-21-2-21111-1-1-1111102-2211-1-1-2-20000-2-200-2-20220-1111-1-1000011-1-120000000110000-100
χ2522222-12222-122-1-122-12-1-12-1-1-122-1-10022-12-12-1-122-1-1-1-1-1-1-1-1-12022002200-1-122-1-122002-10-1020000-1-1-1-1-1-1-1-1002000-1-100000000-1
χ2622222-12222-122-1-122-12-1-12-1-1-122-1-10022-12-12-1-122-1-1-1-1-1-1-1-1-120-2-200-2-200-1-12211-2-200210-10-20000-1-1-1-1111100-200011000000001
χ2722222-12222-122-1-122-12-1-12-1-1-122-1-100-2-2-12-12-1-122-1-1-1-1-1-1-1-1-1-202200220011-2-2-1-1-2-200-2-1010200001111-1-1-1-100-200011000000001
χ2822222-12222-122-1-122-12-1-12-1-1-122-1-100-2-2-12-12-1-122-1-1-1-1-1-1-1-1-1-20-2-200-2-20011-2-2112200-21010-2000011111111002000-1-100000000-1
χ2922222-12222-122-1-12-2-12-1-12-1-1-122-1-10022-1-21-211-2-211-1-1-11111-202-200-2-200-1-122-1-12200-2101020000-1-111-1-11100-2000-1-1000000001
χ3022222-12222-122-1-12-2-12-1-12-1-1-122-1-10022-1-21-211-2-211-1-1-11111-20-22002200-1-12211-2-200-2-1010-20000-1-11111-1-10020001100000000-1
χ3122222-12222-122-1-12-2-12-1-12-1-1-122-1-100-2-2-1-21-211-2-211-1-1-11111202-200-2-20011-2-2-1-1-2-200210-102000011-1-1-1-1110020001100000000-1
χ3222222-12222-122-1-12-2-12-1-12-1-1-122-1-100-2-2-1-21-211-2-211-1-1-1111120-2200220011-2-21122002-10-10-2000011-1-111-1-100-2000-1-1000000001
χ332222-12222-12-1-12222-1-12-1-12-1-1-1-1222222-1-122-1-1-1-122-1-1-1-1-1-1-122002200-1-122-1-1000000-10-1220-1-1-1-1-1-1-1-100000202-1-1000000000-10
χ342222-12222-12-1-12222-1-12-1-12-1-1-1-12222-2-2-1-122-1-1-1-122-1-1-1-1-1-1-1-22002200-1-1-2-21100000010-1-220-1-1-1-1111100000-20-21100000000010
χ352222-12222-12-1-12222-1-12-1-12-1-1-1-122-2-222-1-122-1-1-1-122-1-1-1-1-1-1-12-200-2-2001122-1-1000000-1012-201111-1-1-1-100000-20-21100000000010
χ362222-12222-12-1-12222-1-12-1-12-1-1-1-122-2-2-2-2-1-122-1-1-1-122-1-1-1-1-1-1-1-2-200-2-20011-2-211000000101-2-201111111100000202-1-1000000000-10
χ372222-12222-12-1-1222-2-1-12-1-12-1-1-1-1222222-11-2-21111-2-2-1-1-11111-2-2002200-1-122-1-1000000101-2-20-1-111-1-1110000020-2-1-100000000010
χ382222-12222-12-1-1222-2-1-12-1-12-1-1-1-12222-2-2-11-2-21111-2-2-1-1-111112-2002200-1-1-2-211000000-1012-20-1-11111-1-100000-20211000000000-10
χ392222-12222-12-1-1222-2-1-12-1-12-1-1-1-122-2-222-11-2-21111-2-2-1-1-11111-2200-2-2001122-1-100000010-1-22011-1-1-1-11100000-20211000000000-10
χ402222-12222-12-1-1222-2-1-12-1-12-1-1-1-122-2-2-2-2-11-2-21111-2-2-1-1-111112200-2-20011-2-211000000-10-122011-1-111-1-10000020-2-1-100000000010
χ412-22-2222-2-2-2-22-22-2202222-2-2-2-22-22-2002i−2i20000000002-2-2000000000000002i−2i2i−2i00002-200000000002i−2i000000000000002-2002i−2i000
χ422-22-2222-2-2-2-22-22-2202222-2-2-2-22-22-2002i−2i20000000002-2-2000000000000002i−2i2i−2i0000-2200000000002i−2i00000000000000-2200−2i2i000
χ432-22-2222-2-2-2-22-22-2202222-2-2-2-22-22-200−2i2i20000000002-2-200000000000000−2i2i−2i2i00002-20000000000−2i2i000000000000002-200−2i2i000
χ442-22-2222-2-2-2-22-22-2202222-2-2-2-22-22-200−2i2i20000000002-2-200000000000000−2i2i−2i2i0000-220000000000−2i2i00000000000000-22002i−2i000
χ452-2-222222-2-22-22-2-2-20222-22-22-2-2-2-222i−2i002000000000-22-2000000002i−2i002i−2i0000002i−2i000000002i−2i00000000000000002i−2i002-200000
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χ1038-8-88-4-488-84-44-444-802-4-4-2-442-2444-400002000000000-22-200000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4-444-44-44440222-22-22-2-2-2-220000-1000006-6001-11-333-30000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4-444-44-44440222-22-22-2-2-2-220000-100000-66001-113-3-330000000000000000000000000000000000000000000000000000000

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