Finite Group Databasebeta

← Group #13170646

Character table — Group #13170646

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11222222222222233444444444444444444444446666666666688888888888812121212121212121212121212121212121212121212121224242424242424242424242436363636363636363636363636367272108108
order12233344666661212443336666666661212121212121212121212224661212121212123666612121212121212244466666666612121212121212121212126661212121212121212122224666666881212242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1111111111-1-1-1-111111111111-1-111-1-1-1-11-1-1111-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-1111-1-111111111111-1-11111-1-1-1-111-1-11111-111-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ5111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-1-1-1-1-11111-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ6111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-111-1-1-11111-1-1-1-1-1-111
χ7111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1111-1-1-1-1-1-111-1-111
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
χ911-1111-11-1-1111-1-111111-1-1-1-1-1-11111-1-1111-1-1-1-111-1-1-1-111-1-1111-1-1-1111-111-1-11-11-11111-111-1-111-1-1-1-1-111-1-1111-11-1-1-111-1-1-11-11-1-111-1-11-1111-11-1
χ1011-1111-11-1-1111-1-111111-1-1-1-1-1-11111-1-1111-1-1-1-111-1-1-1-111-1-1111-1-1-1111-111-1-11-1-111111-111-1-1-1-111-1-1-111-1-1111-1-11-1-1-1-111-1-111-1-1-1-111-1111-11-11
χ1111-1111-11-1-1111-1-111111-1-1-1-1-1-11111-1-1111-1-1-1-111-1-1-1-111-1-1111-1-1-1111-111-1-1-111-11-1-11-111-1-111-1-1-11111-1-1-1-1-111-11111-1-111-1-11111-1-1-11-1-1-11-11
χ1211-1111-11-1-1111-1-111111-1-1-1-1-1-11111-1-1111-1-1-1-111-1-1-1-111-1-1111-1-1-1111-111-1-1-11-111-1-11-111-1-1-1-111-11111-1-1-1-1-11-1111-1-1111-11-111-1-1111-1-1-11-11-1
χ1311-1111-11-1-1111-1-1-1-1111-1-1-1-1-1-11111-1-1111-1-1-1-11-11111-1-111-1-11-1-1-1111-111-1-11-11-1-111-11-1-11111-1-11-1-1-1-111111-11-1-1-111-1-11-11-111-1-1111-1-1-11-1-11
χ1411-1111-11-1-1111-1-1-1-1111-1-1-1-1-1-11111-1-1111-1-1-1-11-11111-1-111-1-11-1-1-1111-111-1-11-1-11-111-11-1-111-1-1111-1-1-1-111111-1-11-1-1-1-11111-1-11111-1-1-11-1-1-111-1
χ1511-1111-11-1-1111-1-1-1-1111-1-1-1-1-1-11111-1-1111-1-1-1-11-11111-1-111-1-11-1-1-1111-111-1-1-111-1-1-1-1-11-1-11111-1-1111-1-111-1-1-111-11111-1-1-1-111-1-1-1-111-1111-111-1
χ1611-1111-11-1-1111-1-1-1-1111-1-1-1-1-1-11111-1-1111-1-1-1-11-11111-1-111-1-11-1-1-1111-111-1-1-11-11-1-1-1-11-1-111-1-111111-1-111-1-1-11-1111-1-111-11-11-1-111-1-11-1111-1-11
χ17222222-2-222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-22-2-222222222222-2-2-2-2-2-2-20000-200-2-2-2-2-2-200002002222000000000000000000000000000000
χ18222222-2-222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-222-222-2-2-2-2-2-222222-2-2-2-2-2-2-200002002222220000-200-2-2-2-2000000000000000000000000000000
χ1922222-122-1-12-122222-12-122-1-1-1-12-1-1-12-12-1-122-1-1222222-1-1-1-122-12-1-1-12-1-1-1-1-1-10022200-1-1-1-1-1-1-1-1-1-1200-1-1-1-100002200-1-1-1-1022000-1-1-1-100000000
χ2022222-122-1-12-122222-12-122-1-1-1-12-1-1-12-12-1-122-1-1222222-1-1-1-122-12-1-1-12-1-1-1-1-1-100-2-2200-1-1-1-1-1-11111200-1-1-1-10000-2-20011110-2-2000111100000000
χ2122222-122-1-12-1222-2-2-12-122-1-1-1-12-1-1-12-12-1-122-1-12-2-2-2-2-21111-2-2-12-1-1-12-1-1-1-1-1-10022-200111111-1-1-1-1-200111100002200-1-1-1-10-2-2000111100000000
χ2222222-122-1-12-1222-2-2-12-122-1-1-1-12-1-1-12-12-1-122-1-12-2-2-2-2-21111-2-2-12-1-1-12-1-1-1-1-1-100-2-2-2001111111111-20011110000-2-2001111022000-1-1-1-100000000
χ2322222-1-2-2-1-12-12-2-222-12-122-1-1-1-12-1-11-21-211-2-211-2-2-22-2-2-1-1-1-122-12-1-1-1-21111110000-200111111−i3i3−i3i3200-1-1-1-100000000−i3i3−i3i3000000−i3i3−i3i300000000
χ2422222-1-2-2-1-12-12-2-222-12-122-1-1-1-12-1-11-21-211-2-211-2-2-22-2-2-1-1-1-122-12-1-1-1-21111110000-200111111i3−i3i3−i3200-1-1-1-100000000i3−i3i3−i3000000i3−i3i3−i300000000
χ2522222-1-2-2-1-12-12-2-2-2-2-12-122-1-1-1-12-1-11-21-211-2-211-222-2221111-2-2-12-1-1-1-21111110000200-1-1-1-1-1-1−i3i3−i3i3-200111100000000−i3i3−i3i3000000i3−i3i3−i300000000
χ2622222-1-2-2-1-12-12-2-2-2-2-12-122-1-1-1-12-1-11-21-211-2-211-222-2221111-2-2-12-1-1-1-21111110000200-1-1-1-1-1-1i3−i3i3−i3-200111100000000i3−i3i3−i3000000−i3i3−i3i300000000
χ272222-12222222-1-1-1222-1-12-122-1-1-1-12222-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-122-1-1-1-12200-1-1-122-1-1-1-10000-1-1-1-1-1-1-12-1-1200-1-100002002-1-1000000-1-10000
χ282222-12222222-1-1-1222-1-12-122-1-1-1-12222-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-2-200-11122-1-1-1-10000-111-1-1-1-1-211-200110000-200-211000000110000
χ292222-12222222-1-1-1-2-22-1-12-122-1-1-1-12222-1-1-1-1-1-1-12-2-2-211-2-2-2-211-1-1-1-1-1-122-1-1-1-122001-1-1-2-2111100001-1-111112-1-1200-1-10000-200-211000000110000
χ302222-12222222-1-1-1-2-22-1-12-122-1-1-1-12222-1-1-1-1-1-1-12-2-2-211-2-2-2-211-1-1-1-1-1-122-1-1-1-1-2-200111-2-2111100001111111-211-2001100002002-1-1000000-1-10000
χ312222-12-2-22222-111222-1-12-122-1-1-1-12-2-2-21111111-2-2-22112222-1-1-1-1-1-1-11-2-2111100001−i3i3-2-211110000-1−i3i3-1-1-1-10−i3i3000−i3i300000000−i3i3000000−i3i30000
χ322222-12-2-22222-111222-1-12-122-1-1-1-12-2-2-21111111-2-2-22112222-1-1-1-1-1-1-11-2-2111100001i3−i3-2-211110000-1i3−i3-1-1-1-10i3−i3000i3−i300000000i3−i3000000i3−i30000
χ332222-12-2-22222-111-2-22-1-12-122-1-1-1-12-2-2-21111111-222-2-1-1-2-2-2-211-1-1-1-1-11-2-211110000-1−i3i322-1-1-1-100001−i3i311110−i3i3000−i3i300000000i3−i3000000i3−i30000
χ342222-12-2-22222-111-2-22-1-12-122-1-1-1-12-2-2-21111111-222-2-1-1-2-2-2-211-1-1-1-1-11-2-211110000-1i3−i322-1-1-1-100001i3−i311110i3−i3000i3−i300000000−i3i3000000−i3i30000
χ35222-1222222-1222200-1-12-12-1-122-12-12-12222-1-122-100000000000-1-1-1-1-1-1-1-1-1-1-1-1222202200000022220220000-1-1-1-1-1-1-1-1-1-1-1-100000000002200-1-100
χ36222-1222222-1222200-1-12-12-1-122-12-12-12222-1-122-100000000000-1-1-1-1-1-1-1-1-1-1-1-122-2-2022000000-2-2-2-20220000-1-1-1-111-1-111110000000000-2-2001100
χ37222-1222222-1222200-1-12-12-1-122-12-12-12222-1-122-100000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2220-2-200000022220-2-200001111-1-111-1-1-1-10000000000-2-2001100
χ38222-1222222-1222200-1-12-12-1-122-12-12-12222-1-122-100000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20-2-2000000-2-2-2-20-2-2000011111111111100000000002200-1-100
χ3922-22222-2-2-22222222222-2-2-2-2-2-2222-222-2-2-22222-2-22-22222-2-2222-2-2-22-2-22-2-2220000-200-22-2-2220000-20022-2-2000000000000000000000000000000
χ4022-22222-2-2-222222-2-2222-2-2-2-2-2-2222-222-2-2-22222-22-22-2-2-2-222-2-22-2-2-22-2-22-2-22200002002-222-2-20000200-2-222000000000000000000000000000000
χ4122-222-12-2112-122222-12-1-2-211112-1-112-1-21122-1-1-2-22-222-1-11122-1-211-1-21-111-1-10000-2001-111-1-1−i3i3i3−i3-200-1-11100000000−i3i3i3−i3000000−i3i3i3−i300000000
χ4222-222-12-2112-122222-12-1-2-211112-1-112-1-21122-1-1-2-22-222-1-11122-1-211-1-21-111-1-10000-2001-111-1-1i3−i3−i3i3-200-1-11100000000i3−i3−i3i3000000i3−i3−i3i300000000
χ4322-222-12-2112-1222-2-2-12-1-2-211112-1-112-1-21122-1-1-22-22-2-211-1-1-2-2-1-211-1-21-111-1-10000200-11-1-111−i3i3i3−i320011-1-100000000−i3i3i3−i3000000i3−i3−i3i300000000
χ4422-222-12-2112-1222-2-2-12-1-2-211112-1-112-1-21122-1-1-22-22-2-211-1-1-2-2-1-211-1-21-111-1-10000200-11-1-111i3−i3−i3i320011-1-100000000i3−i3−i3i3000000−i3i3i3−i300000000
χ4522-222-1-22112-12-2-222-12-1-2-211112-1-1-1-212-1-1-2-21122-2-2-2-2-1-11122-1-211-12-11-1-111002-2200-11-1-111-1-111-200-1-11100002-200-1-11102-2000-1-11100000000
χ4622-222-1-22112-12-2-222-12-1-2-211112-1-1-1-212-1-1-2-21122-2-2-2-2-1-11122-1-211-12-11-1-11100-22200-11-1-11111-1-1-200-1-1110000-220011-1-10-2200011-1-100000000
χ4722-222-1-22112-12-2-2-2-2-12-1-2-211112-1-1-1-212-1-1-2-2112-2222211-1-1-2-2-1-211-12-11-1-111002-2-2001-111-1-1-1-11120011-1-100002-200-1-1110-2200011-1-100000000
χ4822-222-1-22112-12-2-2-2-2-12-1-2-211112-1-1-1-212-1-1-2-2112-2222211-1-1-2-2-1-211-12-11-1-11100-22-2001-111-1-111-1-120011-1-10000-220011-1-102-2000-1-11100000000
χ4922-22-122-2-2-222-1-1-1222-1-1-21-2-211-1-12-222111-1-1-1-1-2-22-2-1-122-2-2-1-1-1111-11-2211-1-100001−i3i3-2211-1-100001i3−i3-1-1110−i3i3000i3−i300000000i3−i3000000−i3i30000
χ5022-22-122-2-2-222-1-1-1222-1-1-21-2-211-1-12-222111-1-1-1-1-2-22-2-1-122-2-2-1-1-1111-11-2211-1-100001i3−i3-2211-1-100001−i3i3-1-1110i3−i3000−i3i300000000−i3i3000000i3−i30000
χ5122-22-122-2-2-222-1-1-1-2-22-1-1-21-2-211-1-12-222111-1-1-1-1-22-2211-2-22211-1111-11-2211-1-10000-1−i3i32-2-1-1110000-1i3−i311-1-10−i3i3000i3−i300000000−i3i3000000i3−i30000
χ5222-22-122-2-2-222-1-1-1-2-22-1-1-21-2-211-1-12-222111-1-1-1-1-22-2211-2-22211-1111-11-2211-1-10000-1i3−i32-2-1-1110000-1−i3i311-1-10i3−i3000−i3i300000000i3−i3000000−i3i30000
χ5322-22-12-22-2-222-111222-1-1-21-2-211-1-122-2-2-1-1-1111122-2-21122-2-2-1-1-1111-1-12-2-1-1112-200-1-1-12-2-1-1110000111-1-1112-1-1-200110000-200211000000-1-10000
χ5422-22-12-22-2-222-111222-1-1-21-2-211-1-122-2-2-1-1-1111122-2-21122-2-2-1-1-1111-1-12-2-1-111-2200-1112-2-1-11100001-1-1-1-111-211200-1-10000200-2-1-1000000110000
χ5522-22-12-22-2-222-111-2-22-1-1-21-2-211-1-122-2-2-1-1-111112-222-1-1-2-22211-1111-1-12-2-1-1112-2001-1-1-2211-1-10000-11111-1-12-1-1-200110000200-2-1-1000000110000
χ5622-22-12-22-2-222-111-2-22-1-1-21-2-211-1-122-2-2-1-1-111112-222-1-1-2-22211-1111-1-12-2-1-111-2200111-2211-1-10000-1-1-111-1-1-211200-1-10000-200211000000-1-10000
χ5722-2-122-22-2-2-122-2-200-1-121-211-2-2-12-121-222211-2-2-100000000000-1111-1-1-11-1-1112-22-202200000022-2-20-2-20000-1-1-11-1111-1-11100000000002-200-1100
χ5822-2-122-22-2-2-122-2-200-1-121-211-2-2-12-121-222211-2-2-100000000000-1111-1-1-11-1-1112-2-22022000000-2-2220-2-20000-1-1-111-11111-1-10000000000-22001-100
χ5922-2-122-22-2-2-122-2-200-1-121-211-2-2-12-121-222211-2-2-100000000000-1111-1-1-11-1-111-222-20-2-200000022-2-20220000111-1-11-1-1-1-1110000000000-22001-100
χ6022-2-122-22-2-2-122-2-200-1-121-211-2-2-12-121-222211-2-2-100000000000-1111-1-1-11-1-111-22-220-2-2000000-2-2220220000111-11-1-1-111-1-100000000002-200-1100
χ614444-2-244-2-24-2-2-2-244-2-214-2-2-211-21-2-24-2-211-2-2114444-2-2-2-2-2-2-2-21-2111-2-2-211110000-200-2-211110000-2001111000000000000000000000000000000
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χ634444-2-2-4-4-2-24-2-22244-2-214-2-2-211-21-22-422-1-122-1-1-4-4-4422-2-2-2-2-2-21-2111222-1-1-1-1000020022-1-1-1-10000-2001111000000000000000000000000000000
χ644444-2-2-4-4-2-24-2-222-4-4-2-214-2-2-211-21-22-422-1-122-1-1-444-4-2-22222221-2111222-1-1-1-10000-200-2-211110000200-1-1-1-1000000000000000000000000000000
χ65444-244-4-444-244-4-400-2-24-24-2-244-24-2-42-4-4-4-422-4-4200000000000-2-2-2-2-22222222000000000000000000000000000000000000000000000000000000
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χ67444-24-244-2-2-2-2444001-2-2-2411-2-2-2-21-2-2-24-2-2-2-2-2-2-2000000000001-2111-211111100-4-40000000002222000000000002200-1-1-1-1000000000000000000
χ68444-24-2-4-4-2-2-2-24-4-4001-2-2-2411-2-2-2-21222-42222222000000000001-21112-1-1-1-1-1-10000000000000−2i32i3−2i32i3000000000000000i3−i3i3−i3000000000000000000
χ69444-24-2-4-4-2-2-2-24-4-4001-2-2-2411-2-2-2-21222-42222222000000000001-21112-1-1-1-1-1-100000000000002i3−2i32i3−2i3000000000000000−i3i3−i3i3000000000000000000
χ70444-2-244444-24-2-2-200-21-2-2-2-2-2-2-21-2-24-24-2-2-211-2-2-200000000000111111-2-2111144000-2-200000000000-2-20000-211-200110000000000000000000000
χ71444-2-244444-24-2-2-200-21-2-2-2-2-2-2-21-2-24-24-2-2-211-2-2-200000000000111111-2-21111-4-400022000000000002200002-1-1200-1-10000000000000000000000
χ72444-2-24-4-444-24-22200-21-2-2-2-2-2-2-21-2-2-42-4222-1-12220000000000011111-122-1-1-1-100000−2i32i300000000000−2i32i300000i3−i3000i3−i30000000000000000000000
χ73444-2-24-4-444-24-22200-21-2-2-2-2-2-2-21-2-2-42-4222-1-12220000000000011111-122-1-1-1-1000002i3−2i3000000000002i3−2i300000−i3i3000−i3i30000000000000000000000
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Here i is the imaginary unit (i² = −1).