Finite Group Databasebeta

← Group #13172662

Character table — Group #13172662

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818182424242424242424242424242424242436363636363636363636367272108108
order1222333666666666233366666666666224436666666666666662244666666661212121212121212441212121266666666121212121212121222444661212121261224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-11-1111111-1-111-1-111111111111-11111-1-11-11111-1-1-1-1-1-11-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111-1-11111111111111111-111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1111-1-1111111-1-1111-11-1-111-1-1-1-1-11-1-1
χ4111111111111111111111111111111111-1-11111111111111111-1-11-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111-1-1-1-1-11-11-1-1-111-1-11-111
χ51111111111111111111111111111111-1-111111111111111111111-11-1-111-1-1111111-1-111-1-1-1-1-1-111-1-11111-11-1-11111-11-11-1-1-111-1-11-1-1-1
χ61111111111111111111111111111111-1-11111111111111111111-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-111-1-11-11-1-111-1-1-1-1-1111
χ71111111111111111111111111111111-1-1-1-11111111111111111-11-11-1-1-1-1-1-111-1-111-1-1-1-1111111-11-1-1-1-111-11-1-1-1-111-1-1-1-11-1-1-1-111-1-111
χ81111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ91111111111111111-1111-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11-1-111-1-1111111-1-1-1-111111111-1111-1-111-1-1-1-111-1-111-1-1-111-1-1-1-11-11-1
χ101111111111111111-1111-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-111-1-11111-1-111111111-1-111-1-1-1-1-11-1-11111-1-111-1-1-111-1-1-11-11
χ111111111111111111-1111-1-111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111111111-1-1-11
χ121111111111111111-1111-1-111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-11-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11111-1-1-11-1-1-1-111-111-11-1-1-1-111111-1
χ131111111111111111-1111-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-11-1-1-1-1111-11111-1-1-111-11-1-1-1-11111-11
χ141111111111111111-1111-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111111-1-11-1
χ151111111111111111-1111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-111-1-111-1-1-1-111-1-111111111-1-111111-111-1-1-1-1-1-111-1-1-111-1-1-111-1
χ161111111111111111-1111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-11-111-1-111-1-1-1-1-1-11111-1-11111111-1-1-111-1-11111-1-11111-1-1-111-1-1-1-11-1-11
χ17222222-12222-1-12-1222-1-12222-1-1-1-12-1-10022-12-122-1-1-1-1-1-1-1-1-1-1-1220200220022-1-1-1-10022000000-1-100-1-1-1-10200-1-1-1-10202000-1-100-1000
χ18222222-12222-1-12-1222-1-12222-1-1-1-12-1-10022-12-122-1-1-1-1-1-1-1-1-1-1-12-20-2002200-2-2-1-1110022000000-1100-1-1110-200-1-1110-20-200011001000
χ19222222-12222-1-12-1222-1-12222-1-1-1-12-1-100-2-2-12-122-1-1-1-1-1-1-1-1-1-1-1-220200-2-2002211-1-100-2-20000001-10011-1-1020011-1-10-20-200011001000
χ20222222-12222-1-12-1222-1-12222-1-1-1-12-1-100-2-2-12-122-1-1-1-1-1-1-1-1-1-1-1-2-20-200-2-200-2-2111100-2-2000000110011110-20011110202000-1-100-1000
χ21222222-12222-1-12-12-22-1-1-2-222-1-1-1-12-1-10022-1-21-2-21111-1-1-11111-220-200-2-20022-1-11100220000001-10011-1-10-200-1-111020-20001100-1000
χ22222222-12222-1-12-12-22-1-1-2-222-1-1-1-12-1-10022-1-21-2-21111-1-1-11111-2-20200-2-200-2-2-1-1-1-10022000000110011110200-1-1-1-10-202000-1-1001000
χ23222222-12222-1-12-12-22-1-1-2-222-1-1-1-12-1-100-2-2-1-21-2-21111-1-1-11111220-200220022111100-2-2000000-1-100-1-1-1-10-20011110-202000-1-1001000
χ24222222-12222-1-12-12-22-1-1-2-222-1-1-1-12-1-100-2-2-1-21-2-21111-1-1-111112-202002200-2-211-1-100-2-2000000-1100-1-111020011-1-1020-20001100-1000
χ2522222-1222-1-122-1222-12-122-1-122-1-1-12-12200-1-12-1-122-1-1-1-1-1-1-1-1-102222200-1-1-1-10022220000000002-1-100-1-1-1-1-1-100-1-120200-1-100000-100
χ2622222-1222-1-122-1222-12-122-1-122-1-1-12-12200-1-12-1-122-1-1-1-1-1-1-1-1-10-22-22200-1-11100-2-222000000000-2-1-10011-11-1-10011-20-2001100000100
χ2722222-1222-1-122-1222-12-122-1-122-1-1-12-1-2-200-1-12-1-122-1-1-1-1-1-1-1-1-102-22-2-20011-1-10022-2-200000000021100-1-11-11100-1-1-20-2001100000100
χ2822222-1222-1-122-1222-12-122-1-122-1-1-12-1-2-200-1-12-1-122-1-1-1-1-1-1-1-1-10-2-2-2-2-200111100-2-2-2-2000000000-21100111111001120200-1-100000-100
χ2922222-1222-1-122-122-2-12-1-2-2-1-122-1-1-12-12200-11-211-2-211-1-1-1111102-2-22200-1-1-1-100-2-2-2-20000000002-1-100-1-11111001120-200-1-100000100
χ3022222-1222-1-122-122-2-12-1-2-2-1-122-1-1-12-12200-11-211-2-211-1-1-111110-2-222200-1-1110022-2-2000000000-2-1-100111-11100-1-1-202001100000-100
χ3122222-1222-1-122-122-2-12-1-2-2-1-122-1-1-12-1-2-200-11-211-2-211-1-1-11111022-2-2-20011-1-100-2-22200000000021100-1-1-11-1-10011-202001100000-100
χ3222222-1222-1-122-122-2-12-1-2-2-1-122-1-1-12-1-2-200-11-211-2-211-1-1-111110-222-2-2001111002222000000000-2110011-1-1-1-100-1-120-200-1-100000100
χ332222-122-1-1222222-12-1-12-1-1-1-1-1-122-1-122222-122-1-1-1-122-1-1-1-1-1-1-12020-1-1-1-122002200-1-1-1-122-1-1-1-120-1-1-1-10020-1-1-1-100000020000-1-10000
χ342222-122-1-1222222-12-1-12-1-1-1-1-1-122-1-1222-2-2-122-1-1-1-122-1-1-1-1-1-1-1-2020-1-1112200-2-200-1-111-2-21111-20-1-1110020-1-111000000-20000110000
χ352222-122-1-1222222-12-1-12-1-1-1-1-1-122-1-12-2-222-122-1-1-1-122-1-1-1-1-1-1-120-2011-1-1-2-200220011-1-1-2-211112011-1-100-2011-1-1000000-20000110000
χ362222-122-1-1222222-12-1-12-1-1-1-1-1-122-1-12-2-2-2-2-122-1-1-1-122-1-1-1-1-1-1-1-20-201111-2-200-2-200111122-1-1-1-1-20111100-20111100000020000-1-10000
χ372222-122-1-1222222-1-2-1-1211-1-1-1-122-1-122222-1-2-21111-2-2-1-1-11111-20-20-1-1112200220011-1-122-1-1-1-1-20-1-11100-2011-1-1000000-20000110000
χ382222-122-1-1222222-1-2-1-1211-1-1-1-122-1-1222-2-2-1-2-21111-2-2-1-1-1111120-20-1-1-1-12200-2-2001111-2-2111120-1-1-1-100-20111100000020000-1-10000
χ392222-122-1-1222222-1-2-1-1211-1-1-1-122-1-12-2-222-1-2-21111-2-2-1-1-11111-20201111-2-2002200-1-1-1-1-2-21111-2011110020-1-1-1-100000020000-1-10000
χ402222-122-1-1222222-1-2-1-1211-1-1-1-122-1-12-2-2-2-2-1-2-21111-2-2-1-1-11111202011-1-1-2-200-2-200-1-11122-1-1-1-12011-1-10020-1-111000000-20000110000
χ412-22-2222-2-22-22-2-2-22022200-2-2-2-22-222-22-22-22000000002-2-2000000002-2002-2002-200002-22-222-2-2002-2000000002-200000000000000000
χ422-22-2222-2-22-22-2-2-22022200-2-2-2-22-222-22-2-222000000002-2-2000000002-2002-200-220000-22-22-2-222002-200000000-2200000000000000000
χ432-22-2222-2-22-22-2-2-22022200-2-2-2-22-222-2-222-22000000002-2-200000000-2200-22002-200002-2-22-2-22200-22000000002-200000000000000000
χ442-22-2222-2-22-22-2-2-22022200-2-2-2-22-222-2-22-222000000002-2-200000000-2200-2200-220000-222-222-2-200-2200000000-2200000000000000000
χ452-22-2-122112-22-2-2-2-10-1-12−i3i311112-2-1-1-22-22-2-100−i3i3−i3i300-111−i3−i3i3i30000-11−i3i32-2002-200−i3i3-112-2-1-11100-11−i3i30000−i3i3-1100000000000−i3i30000
χ462-22-2-122112-22-2-2-2-10-1-12−i3i311112-2-1-1-22-2-22-100−i3i3−i3i300-111−i3−i3i3i30000-11i3−i32-200-2200−i3i31-1-2211-1-100-11i3−i30000−i3i31-100000000000i3−i30000
χ472-22-2-122112-22-2-2-2-10-1-12−i3i311112-2-1-1-2-222-2-100−i3i3−i3i300-111−i3−i3i3i300001-1−i3i3-22002-200i3−i3-11-2211-1-1001-1−i3i30000i3−i3-1100000000000i3−i30000
χ482-22-2-122112-22-2-2-2-10-1-12−i3i311112-2-1-1-2-22-22-100−i3i3−i3i300-111−i3−i3i3i300001-1i3−i3-2200-2200i3−i31-12-2-1-111001-1i3−i30000i3−i31-100000000000−i3i30000
χ492-22-2-122112-22-2-2-2-10-1-12i3−i311112-2-1-1-22-22-2-100i3−i3i3−i300-111i3i3−i3−i30000-11i3−i32-2002-200i3−i3-112-2-1-11100-11i3−i30000i3−i3-1100000000000i3−i30000
χ502-22-2-122112-22-2-2-2-10-1-12i3−i311112-2-1-1-22-2-22-100i3−i3i3−i300-111i3i3−i3−i30000-11−i3i32-200-2200i3−i31-1-2211-1-100-11−i3i30000i3−i31-100000000000−i3i30000
χ512-22-2-122112-22-2-2-2-10-1-12i3−i311112-2-1-1-2-222-2-100i3−i3i3−i300-111i3i3−i3−i300001-1i3−i3-22002-200−i3i3-11-2211-1-1001-1i3−i30000−i3i3-1100000000000−i3i30000
χ522-22-2-122112-22-2-2-2-10-1-12i3−i311112-2-1-1-2-22-22-100i3−i3i3−i300-111i3i3−i3−i300001-1−i3i3-2200-2200−i3i31-12-2-1-111001-1−i3i30000−i3i31-100000000000i3−i30000
χ5344444-2-244-2-2-2-2-2-244-2-2144-2-2-2-211-2-2100001-2-2-2-2-2-21111111110404000000-2-200-2-200000000000-20000110-2000011000000000000000
χ5444444-2-244-2-2-2-2-2-244-2-2144-2-2-2-211-2-2100001-2-2-2-2-2-21111111110-40-40000002200220000000000020000-1-1020000-1-1000000000000000
χ5544444-2-244-2-2-2-2-2-24-4-2-21-4-4-2-2-2-211-2-2100001222222-1-1111-1-1-1-1040-4000000-2-2002200000000000-2000011020000-1-1000000000000000
χ5644444-2-244-2-2-2-2-2-24-4-2-21-4-4-2-2-2-211-2-2100001222222-1-1111-1-1-1-10-4040000002200-2-20000000000020000-1-10-2000011000000000000000
χ574444-24-2-2-244-2-24-2-24-21-2-2-2-2-211-2-2-21-2004414-2-2-211-2-21111111400000-2-20000-2-20000-2-2000000-2000110000001100000000000000000
χ584444-24-2-2-244-2-24-2-24-21-2-2-2-2-211-2-2-21-200-4-414-2-2-211-2-21111111-400000220000220000220000002000-1-1000000-1-100000000000000000
χ594444-24-2-2-244-2-24-2-2-4-21-222-2-211-2-2-21-200441-4222-1-122111-1-1-1-1-400000220000-2-20000-2-20000002000-1-10000001100000000000000000
χ604444-24-2-2-244-2-24-2-2-4-21-222-2-211-2-2-21-200-4-41-4222-1-122111-1-1-1-1400000-2-2000022000022000000-200011000000-1-100000000000000000
χ614444-2-24-2-2-2-244-24-241-2-2-2-211-2-2-2-21-2-244001-2411-2-2-2-211111110040-2-200-2-2000000-2-20000000000110000-20110000000000000000000
χ624444-2-24-2-2-2-244-24-241-2-2-2-211-2-2-2-21-2-2-4-4001-2411-2-2-2-2111111100-40220022000000220000000000-1-1000020-1-10000000000000000000
χ634444-2-24-2-2-2-244-24-2-41-2-22211-2-2-2-21-2-2440012-4-1-12222111-1-1-1-100-40-2-200-2-200000022000000000011000020-1-10000000000000000000
χ644444-2-24-2-2-2-244-24-2-41-2-22211-2-2-2-21-2-2-4-40012-4-1-12222111-1-1-1-10040220022000000-2-20000000000-1-10000-20110000000000000000000
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χ774-44-4-24-2224-4-22-42-20-21-2−2i32i322-1-1-22-21200-44100−2i32i3i3−i3001-1-1i3i3−i3−i30000002i3−2i300002-200002-20000000000−i3i3000000-1100000000000000000
χ784-44-4-24-2224-4-22-42-20-21-22i3−2i322-1-1-22-212004-41002i3−2i3−i3i3001-1-1−i3−i3i3i30000002i3−2i30000-220000-220000000000−i3i30000001-100000000000000000
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χ804-44-4-2-2422-224-42-4-201-2-2−2i32i3-1-122-221-224-400100i3−i3−2i32i3001-1-1i3i3−i3−i30000-2200-22000000−2i32i300000000001-1000000i3−i30000000000000000000
χ814-44-4-2-2422-224-42-4-201-2-2−2i32i3-1-122-221-22-4400100i3−i3−2i32i3001-1-1i3i3−i3−i300002-2002-20000002i3−2i30000000000-11000000−i3i30000000000000000000
χ824-44-4-2-2422-224-42-4-201-2-22i3−2i3-1-122-221-224-400100−i3i32i3−2i3001-1-1−i3−i3i3i30000-2200-220000002i3−2i300000000001-1000000−i3i30000000000000000000
χ834-44-4-2-2422-224-42-4-201-2-22i3−2i3-1-122-221-22-4400100−i3i32i3−2i3001-1-1−i3−i3i3i300002-2002-2000000−2i32i30000000000-11000000i3−i30000000000000000000
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χ894-4-444-2-2-442-22-222-40-2-21002-22-2-1-1221000010000003-3-1-113-33-30000000000−2i32i300−2i32i30000000000000000i3−i3000000i3−i3000000000000000
χ904-4-444-2-2-442-22-222-40-2-21002-22-2-1-1221000010000003-3-1-113-33-300000000002i3−2i3002i3−2i30000000000000000−i3i3000000−i3i3000000000000000
χ914-4-444-2-2-442-22-222-40-2-21002-22-2-1-122100001000000-33-1-11-33-330000000000−2i32i3002i3−2i30000000000000000i3−i3000000−i3i3000000000000000
χ924-4-444-2-2-442-22-222-40-2-21002-22-2-1-122100001000000-33-1-11-33-3300000000002i3−2i300−2i32i30000000000000000−i3i3000000i3−i3000000000000000
χ934-4-44-2442-2-44-44-4-420-2-24002-22-2-4-42240000-20000000022-20000000000000000000000000023−23−23230000000000000000000000000000000
χ944-4-44-2442-2-44-44-4-420-2-24002-22-2-4-42240000-20000000022-200000000000000000000000000−232323−230000000000000000000000000000000
χ958888-4-4-4-4-4-4-4-4-4-4-4-48222-4-42222222220000-1-4-4222222-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000000
χ968888-4-4-4-4-4-4-4-4-4-4-4-4-8222442222222220000-144-2-2-2-2-2-2-1-1-11111000000000000000000000000000000000000000000000000000000000
χ9788-8-88-4-48-84444-4-4-80-4-4200-44-44-2244-20000200000000-22-20000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-48-4-44-8-8448-440-42-400-442-24-44-240000200000000-22-20000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-48-4444-8-8-48402-4-4002-2-444-4-2440000200000000-22-20000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-4-444444-4-440222002-22-2-22-2-2-20000-1000000001-11−3i33i33i3−3i3000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-4-444444-4-440222002-22-2-22-2-2-20000-1000000001-113i3−3i3−3i33i3000000000000000000000000000000000000000000000000000000000
χ1028-88-88-4-4-8-8-44-444480-4-420044442-2-4-4-200002000000002-2-20000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-444-44-4444-40222−4i34i3-2-2-2-22-222-20000-1002i3−2i32i3−2i300-111−i3−i3i3i3000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-444-44-4444-402224i3−4i3-2-2-2-22-222-20000-100−2i32i3−2i32i300-111i3i3−i3−i3000000000000000000000000000000000000000000000000000000000
χ1058-8-88-48-44-4-884-4-8440-42-4004-4-22444-2-40000200000000-2-220000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-484-44-4-884-8402-4-400-224-444-24-40000200000000-2-220000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-44-44-44-4444022200-22-22-2-2-2-220000-10000006-611-1-33-33000000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-44-44-44-4444022200-22-22-2-2-2-220000-1000000-6611-13-33-3000000000000000000000000000000000000000000000000000000000

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