Finite Group Databasebeta

← Group #13155338

Character table — Group #13155338

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11222222222222233444444444444444444444446666666666688888888888812121212121212121212121212121212121212121212121224242424242424242424242436363636363636363636363636367272108108
order122333446666612124433366666666612121212121212121212122246612121212121236666121212121212124466666668812121212121212121224242424121212121212242424242424226666888824242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-11111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-111-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1
χ6111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ7111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111
χ8111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ9111111-1-111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1i−i111-1-11111ii−i−i1-111-1-1iii−i−i−i1-111-1-1i−ii−iii−i−ii−ii−i
χ10111111-1-111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1−ii111-1-11111−i−iii1-111-1-1−i−i−iiii1-111-1-1−ii−ii−i−iii−ii−ii
χ11111111-1-111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1i−i1-1-1111111ii−i−i-11-1-111iii−i−i−i-11-1-111i−i−iiii−i−i−ii−ii
χ12111111-1-111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1−ii1-1-1111111−i−iii-11-1-111−i−i−iiii-11-1-111−iii−i−i−iiii−ii−i
χ13111111-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111111-1-1-1-1-1-1-11-11111111i−i-111-1-1-1-1-1-1ii−i−i1-111-1-1iii−i−i−i-11-1-111−iii−i−i−iiii−i−ii
χ14111111-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111111-1-1-1-1-1-1-11-11111111−ii-111-1-1-1-1-1-1−i−iii1-111-1-1−i−i−iiii-11-1-111i−i−iiii−i−i−iii−i
χ15111111-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111i−i-1-1-111-1-1-1-1ii−i−i-11-1-111iii−i−i−i1-111-1-1−ii−ii−i−iii−iii−i
χ16111111-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111−ii-1-1-111-1-1-1-1−i−iii-11-1-111−i−i−iiii1-111-1-1i−ii−iii−i−ii−i−ii
χ1722222-122-1-122-122222-1-122-1-1-1-12-1-12-1-1-1-1-1-122222222222-1-1-1-1-12-1-1-12-1-1-1-1-1-1222-1-1-1-1-1-1002-1-1-1-1-1-1-1-1000022-1-1-1-100000022-1-1-1-1000000000000
χ1822222-122-1-122-122222-1-122-1-1-1-12-1-12-1-1-1-1-1-122222222222-1-1-1-1-12-1-1-12-1-1-1-1-1-1-2-22-1-1-1-1-1-10021111-1-1-1-10000-2-21111000000-2-21111000000000000
χ1922222-122-1-122-122-2-22-1-122-1-1-1-12-1-12-1-1-1-1-1-12222-2-2-2-2-2-2-21111-12-1-1-12-1-1-1-1-1-122-211111100-2-1-1-1-11111000022-1-1-1-1000000-2-21111000000000000
χ2022222-122-1-122-122-2-22-1-122-1-1-1-12-1-12-1-1-1-1-1-12222-2-2-2-2-2-2-21111-12-1-1-12-1-1-1-1-1-1-2-2-211111100-2111111110000-2-2111100000022-1-1-1-1000000000000
χ2122222-1-2-2-1-122-1-2-2222-1-122-1-1-1-12-1-1-2111111-2-2-2-2-2-22-2-222-1-1-1-1-12-1-1-1-21111112-2-2111111002-1-111-1-1-1-100002-2-1-1110000002-2-1-111000000000000
χ2222222-1-2-2-1-122-1-2-2222-1-122-1-1-1-12-1-1-2111111-2-2-2-2-2-22-2-222-1-1-1-1-12-1-1-1-2111111-22-211111100211-1-1-1-1-1-10000-2211-1-1000000-2211-1-1000000000000
χ2322222-1-2-2-1-122-1-2-2-2-22-1-122-1-1-1-12-1-1-2111111-2-2-2-222-222-2-21111-12-1-1-1-21111112-22-1-1-1-1-1-100-2-1-111111100002-2-1-111000000-2211-1-1000000000000
χ2422222-1-2-2-1-122-1-2-2-2-22-1-122-1-1-1-12-1-1-2111111-2-2-2-222-222-2-21111-12-1-1-1-2111111-222-1-1-1-1-1-100-211-1-111110000-2211-1-10000002-2-1-111000000000000
χ252222-122222-122-1-122-12-12-122-1-1-1-12-122-1-1-1-12-1-12222-1-1-1-12222-1-1-1-1-1-122-1-1-1-100-122-1-1-1-122-10000-1-1-1-1-1-1-1-10000002-1-12-1-10000002200-1-1-1-10000
χ262222-122222-122-1-122-12-12-122-1-1-1-12-122-1-1-1-12-1-12222-1-1-1-12222-1-1-1-1-1-122-1-1-1-100-122-1-1-1-1-2-2-10000-1-1-1-11111000000-211-211000000-2-20011110000
χ272222-122222-122-1-1-2-2-12-12-122-1-1-1-12-122-1-1-1-12-1-12-2-2-21111-2-2-2-2-1-1-1-1-1-122-1-1-1-1001-2-2111122100001111-1-1-1-10000002-1-12-1-1000000-2-20011110000
χ282222-122222-122-1-1-2-2-12-12-122-1-1-1-12-122-1-1-1-12-1-12-2-2-21111-2-2-2-2-1-1-1-1-1-122-1-1-1-1001-2-21111-2-21000011111111000000-211-2110000002200-1-1-1-10000
χ292222-12-2-222-1221122-12-12-122-1-1-1-121-2-21111-211-2-2-2211-1-12222-1-1-1-1-11-2-21111001-2-211112i−2i-10000-1-1-1-1−i−iii0000002i−i−i−2iii0000002i−2i00−i−iii0000
χ302222-12-2-222-1221122-12-12-122-1-1-1-121-2-21111-211-2-2-2211-1-12222-1-1-1-1-11-2-21111001-2-21111−2i2i-10000-1-1-1-1ii−i−i000000−2iii2i−i−i000000−2i2i00ii−i−i0000
χ312222-12-2-222-12211-2-2-12-12-122-1-1-1-121-2-21111-211-222-2-1-111-2-2-2-2-1-1-1-1-11-2-2111100-122-1-1-1-12i−2i100001111−i−iii0000002i−i−i−2iii000000−2i2i00ii−i−i0000
χ322222-12-2-222-12211-2-2-12-12-122-1-1-1-121-2-21111-211-222-2-1-111-2-2-2-2-1-1-1-1-11-2-2111100-122-1-1-1-1−2i2i100001111ii−i−i000000−2iii2i−i−i0000002i−2i00−i−iii0000
χ33222-12222222-122200-1-12-12-1-122-12-12222222-1-1-1-100000000000-1-1-1-1-1-1-1-1-1-1-1-1220000000220222200002222-1-1-1-1-1-1-1-1-1-1-1-100000000220000-1-100
χ34222-12222222-122200-1-12-12-1-122-12-12222222-1-1-1-100000000000-1-1-1-1-1-1-1-1-1-1-1-1220000000-2-2022220000-2-2-2-2-1-1-1-1-1-111111100000000-2-200001100
χ35222-12222222-122200-1-12-12-1-122-12-12222222-1-1-1-100000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-20000000220-2-2-2-200002222111111-1-1-1-1-1-100000000-2-200001100
χ36222-12222222-122200-1-12-12-1-122-12-12222222-1-1-1-100000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-20000000-2-20-2-2-2-20000-2-2-2-211111111111100000000220000-1-100
χ37222-122-2-2222-12-2-200-1-12-12-1-122-12-1-2-2-2-2-2-2-2111100000000000-1-1-1-1-111111112-200000002i−2i022-2-200002i2i−2i−2i-11-1-111−i−i−iiii000000002i−2i0000−ii00
χ38222-122-2-2222-12-2-200-1-12-12-1-122-12-1-2-2-2-2-2-2-2111100000000000-1-1-1-1-111111112-20000000−2i2i022-2-20000−2i−2i2i2i-11-1-111iii−i−i−i00000000−2i2i0000i−i00
χ39222-122-2-2222-12-2-200-1-12-12-1-122-12-1-2-2-2-2-2-2-2111100000000000-1-1-1-1-11111111-2200000002i−2i0-2-22200002i2i−2i−2i1-111-1-1−i−i−iiii00000000−2i2i0000i−i00
χ40222-122-2-2222-12-2-200-1-12-12-1-122-12-1-2-2-2-2-2-2-2111100000000000-1-1-1-1-11111111-220000000−2i2i0-2-2220000−2i−2i2i2i1-111-1-1iii−i−i−i000000002i−2i0000−ii00
χ4122-22222-2-2-22222222222-2-2-2-2-2-2222-22-222-2-2222-22-2-2222222-2-22-2-2-22-22-222-2-200-22-222-2-200-2000022-2-20000000000000000000000000000000000
χ4222-22222-2-2-222222-2-2222-2-2-2-2-2-2222-22-222-2-2222-2-222-2-2-2-2-2-2222-2-2-22-22-222-2-2002-22-2-2220020000-2-2220000000000000000000000000000000000
χ4322-2222-22-2-2222-2-222222-2-2-2-2-2-22222-22-2-222-2-2-22-22-2-2-22222-2-22-2-2-222-22-2-222002-22-2-22200-2000022-2-20000000000000000000000000000000000
χ4422-2222-22-2-2222-2-2-2-2222-2-2-2-2-2-22222-22-2-222-2-2-222-2222-2-2-2-2222-2-2-222-22-2-22200-22-222-2-20020000-2-2220000000000000000000000000000000000
χ4522-222-12-21122-122222-1-1-2-211112-1-1-2-11-1-111222-22-2-22222-1-111-1-211-1-2-11-1-11100-2-11-1-11100-2−i3i3−i3i3-1-111000000−i3i3−i3i300000000−i3i3−i3i3000000000000
χ4622-222-12-21122-122222-1-1-2-211112-1-1-2-11-1-111222-22-2-22222-1-111-1-211-1-2-11-1-11100-2-11-1-11100-2i3−i3i3−i3-1-111000000i3−i3i3−i300000000i3−i3i3−i3000000000000
χ4722-222-12-21122-122-2-22-1-1-2-211112-1-1-2-11-1-111222-2-222-2-2-2-211-1-1-1-211-1-2-11-1-1110021-111-1-1002−i3i3−i3i311-1-1000000−i3i3−i3i300000000i3−i3i3−i3000000000000
χ4822-222-12-21122-122-2-22-1-1-2-211112-1-1-2-11-1-111222-2-222-2-2-2-211-1-1-1-211-1-2-11-1-1110021-111-1-1002i3−i3i3−i311-1-1000000i3−i3i3−i300000000−i3i3−i3i3000000000000
χ4922-222-1-221122-1-2-2222-1-1-2-211112-1-121-111-1-1-2-2-22-22-2-2-222-1-111-1-211-121-111-1-10021-111-1-100-2−i3i3i3−i3-1-111000000−i3i3i3−i300000000−i3i3i3−i3000000000000
χ5022-222-1-221122-1-2-2222-1-1-2-211112-1-121-111-1-1-2-2-22-22-2-2-222-1-111-1-211-121-111-1-10021-111-1-100-2i3−i3−i3i3-1-111000000i3−i3−i3i300000000i3−i3−i3i3000000000000
χ5122-222-1-221122-1-2-2-2-22-1-1-2-211112-1-121-111-1-1-2-2-222-2222-2-211-1-1-1-211-121-111-1-100-2-11-1-111002−i3i3i3−i311-1-1000000−i3i3i3−i300000000i3−i3−i3i3000000000000
χ5222-222-1-221122-1-2-2-2-22-1-1-2-211112-1-121-111-1-1-2-2-222-2222-2-211-1-1-1-211-121-111-1-100-2-11-1-111002i3−i3−i3i311-1-1000000i3−i3−i3i300000000−i3i3i3−i3000000000000
χ5322-22-122-2-2-2-122-1-122-12-1-21-2-211-1-1212-2-1-1112-1-1-22-2-2-1-1-1-122-2-2-1111-112-2-1-1110012-2-1-1110010000-1-111−i3i3−i3i30000000−i3i30−i3i30000000000−i3i3−i3i30000
χ5422-22-122-2-2-2-122-1-122-12-1-21-2-211-1-1212-2-1-1112-1-1-22-2-2-1-1-1-122-2-2-1111-112-2-1-1110012-2-1-1110010000-1-111i3−i3i3−i30000000i3−i30i3−i30000000000i3−i3i3−i30000
χ5522-22-122-2-2-2-122-1-1-2-2-12-1-21-2-211-1-1212-2-1-1112-1-1-2-2221111-2-222-1111-112-2-1-11100-1-2211-1-100-1000011-1-1−i3i3−i3i30000000−i3i30−i3i30000000000i3−i3i3−i30000
χ5622-22-122-2-2-2-122-1-1-2-2-12-1-21-2-211-1-1212-2-1-1112-1-1-2-2221111-2-222-1111-112-2-1-11100-1-2211-1-100-1000011-1-1i3−i3i3−i30000000i3−i30i3−i30000000000−i3i3−i3i30000
χ5722-22-12-22-2-2-1221122-12-1-21-2-211-1-12-1-2211-1-1-2112-22-211-1-122-2-2-1111-1-1-2211-1-100-1-2211-1-10010000-1-1113−3−3300000003−30−3300000000003−3−330000
χ5822-22-12-22-2-2-1221122-12-1-21-2-211-1-12-1-2211-1-1-2112-22-211-1-122-2-2-1111-1-1-2211-1-100-1-2211-1-10010000-1-111−333−30000000−3303−30000000000−333−30000
χ5922-22-12-22-2-2-12211-2-2-12-1-21-2-211-1-12-1-2211-1-1-21122-22-1-111-2-222-1111-1-1-2211-1-10012-2-1-11100-1000011-1-13−3−3300000003−30−330000000000−333−30000
χ6022-22-12-22-2-2-12211-2-2-12-1-21-2-211-1-12-1-2211-1-1-21122-22-1-111-2-222-1111-1-1-2211-1-10012-2-1-11100-1000011-1-1−333−30000000−3303−300000000003−3−330000
χ614444-2-244-2-2-24-2-2-244-2-214-2-2-211-21-2-2-2-211114-2-24444-2-2-2-2-2-2-2-21-2111-2-2-2111100-2-2-2111100-2000011110000000000000000000000000000000000
χ624444-2-244-2-2-24-2-2-2-4-4-2-214-2-2-211-21-2-2-2-211114-2-24-4-4-4222222221-2111-2-2-2111100222-1-1-1-10020000-1-1-1-10000000000000000000000000000000000
χ634444-2-2-4-4-2-2-24-22244-2-214-2-2-211-21-2222-1-1-1-1-422-4-4-4422-2-2-2-2-2-21-2111222-1-1-1-100222-1-1-1-100-2000011110000000000000000000000000000000000
χ644444-2-2-4-4-2-2-24-222-4-4-2-214-2-2-211-21-2222-1-1-1-1-422-444-4-2-22222221-2111222-1-1-1-100-2-2-211110020000-1-1-1-10000000000000000000000000000000000
χ65444-24-244-2-24-2-24400-21-2-2411-2-2-2-214-2-2-2-2-2-2-2-2-2-2000000000001-2111-2111111440000000000-2-2-2-200000000-2-21111000000000000000000000000
χ66444-24-244-2-24-2-24400-21-2-2411-2-2-2-214-2-2-2-2-2-2-2-2-2-2000000000001-2111-2111111-4-4000000000022220000000022-1-1-1-1000000000000000000000000
χ67444-24-2-4-4-2-24-2-2-4-400-21-2-2411-2-2-2-21-42222222222000000000001-21112-1-1-1-1-1-14-40000000000-2-22200000000-2211-1-1000000000000000000000000
χ68444-24-2-4-4-2-24-2-2-4-400-21-2-2411-2-2-2-21-42222222222000000000001-21112-1-1-1-1-1-1-44000000000022-2-2000000002-2-1-111000000000000000000000000
χ69444-2-244444-2-24-2-2001-2-2-2-2-2-2-2-21-2-2-244-2-2-2-2-211-200000000000111111-2-2111100000000044000000000-2-2-2-2000000-211-211000000000000000000
χ70444-2-244444-2-24-2-2001-2-2-2-2-2-2-2-21-2-2-244-2-2-2-2-211-200000000000111111-2-21111000000000-4-400000000022220000002-1-12-1-1000000000000000000
χ71444-2-24-4-444-2-2422001-2-2-2-2-2-2-2-21-2-22-4-422222-1-120000000000011111-122-1-1-1-10000000004i−4i000000000−2i−2i2i2i000000−2iii2i−i−i000000000000000000
χ72444-2-24-4-444-2-2422001-2-2-2-2-2-2-2-21-2-22-4-422222-1-120000000000011111-122-1-1-1-1000000000−4i4i0000000002i2i−2i−2i0000002i−i−i−2iii000000000000000000
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Here i is the imaginary unit (i² = −1).