Finite Group Databasebeta

← Group #13172919

Character table — Group #13172919

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818181818181818182424242424242424242424242424242436363636363636367272108108
order12223336666666662333666666666664444366666666666666624446612121212121212121212121212122222444412121212666121212121212121212121212124466661212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-111111111-1-111-1-111-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111-1-111111111111111111-1111111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111-11111-1-1-1-111111-1-1-111-1-11-1-1-1
χ4111111111111111111111111111111111-1-111111111111111111-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1111
χ51111111111111111111111111111111-1-1111111111111111111-1111-1-1-1-111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1111-1-111111111-1111-1-1-1-1-11-1-1
χ61111111111111111111111111111111-1-1111111111111111111-11-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11-1-1-111-1-11-111
χ71111111111111111111111111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ81111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111111111111111-1111-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-1-1-111-1-1111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-11-11111-1-111-1-1-11-1-11111-11-11
χ101111111111111111-1111-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11-1-111-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111-111-1-1111-11-1
χ111111111111111111-1111-1-111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-111111111-1-1-1-1-1-11111-1-1111111-1-1-111-111-1-11111-1-1-1-11111-1-1-1-11-1
χ121111111111111111-1111-1-111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-11-11-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-11-1111-1-111-1-11111-1-1-1-1-1-111-11
χ131111111111111111-1111-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-11-11-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111111111-11-1-1-111-1-111-1-111-1-1-1-1-1-1111-1
χ141111111111111111-1111-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1111-1-1-1-1-1-1-1-11111111111-1-1111111111-1-11-1-111-1-1-1-111-1-11111-1-1-1-1-11
χ151111111111111111-1111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1111-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-11111-1-11-111-1-1111-1-11
χ161111111111111111-1111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-111-1111-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-11-1-1-1-111-1-111-11-1-11111-111-1
χ17222222-1-12222-1-12222-1-1222-1-1-122-1-1-12200-12-122-1-1-1-1-1-1-1-1-1-1-12022222200-1-1-1-1002200220000000000-1-1-102-1-1-10000-1-1-1-12000-1-100-1000
χ18222222-1-12222-1-12222-1-1222-1-1-122-1-1-12200-12-122-1-1-1-1-1-1-1-1-1-1-120-2-2222200-1-11100-2-200-2-20000000000-1-1-10-21-1-100001111-200011001000
χ19222222-1-12222-1-12222-1-1222-1-1-122-1-1-1-2-200-12-122-1-1-1-1-1-1-1-1-1-1-1-2022-2-2-2-20011-1-1002200-2-2000000000011102-1110000-1-1-1-1-200011001000
χ20222222-1-12222-1-12222-1-1222-1-1-122-1-1-1-2-200-12-122-1-1-1-1-1-1-1-1-1-1-1-20-2-2-2-2-2-200111100-2-2002200000000001110-2111000011112000-1-100-1000
χ21222222-1-12222-1-122-22-1-1-2-22-1-1-122-1-1-12200-1-21-2-21111-1-1-11111-202-2-2-22200-1-1-1-100-2-200220000000000111021-1-10000-1-111-2000-1-1001000
χ22222222-1-12222-1-122-22-1-1-2-22-1-1-122-1-1-12200-1-21-2-21111-1-1-11111-20-22-2-22200-1-111002200-2-200000000001110-2-1-1-1000011-1-120001100-1000
χ23222222-1-12222-1-122-22-1-1-2-22-1-1-122-1-1-1-2-200-1-21-2-21111-1-1-11111202-222-2-20011-1-100-2-200-2-20000000000-1-1-1021110000-1-11120001100-1000
χ24222222-1-12222-1-122-22-1-1-2-22-1-1-122-1-1-1-2-200-1-21-2-21111-1-1-1111120-2222-2-2001111002200220000000000-1-1-10-2-111000011-1-1-2000-1-1001000
χ2522222-12222-1-122-122-1-1222-1-122-1-1-1-120022-1-12-1-1-1-122-1-1-1-1-1-1-102220000220022-1-1-1-122002200000000000-1-1200-1-1-1-1-1-1-1-102-1-100000-100
χ2622222-12222-1-122-122-1-1222-1-122-1-1-1-120022-1-12-1-1-1-122-1-1-1-1-1-1-102-2-200002200-2-2-1-1112200-2-200000000000-11-200-1-1-1-111110-21100000100
χ2722222-12222-1-122-122-1-1222-1-122-1-1-1-1200-2-2-1-12-1-1-1-122-1-1-1-1-1-1-10-2220000-2-2002211-1-1-2-200-2-2000000000001-12001111-1-1-1-10-21100000100
χ2822222-12222-1-122-122-1-1222-1-122-1-1-1-1200-2-2-1-12-1-1-1-122-1-1-1-1-1-1-10-2-2-20000-2-200-2-21111-2-200220000000000011-2001111111102-1-100000-100
χ2922222-12222-1-122-12-2-1-12-2-2-1-122-1-1-1-120022-11-21111-2-2-1-1-111110-22-20000-2-20022-1-1112200-2-2000000000001-1-200-1-111-1-111021100000-100
χ3022222-12222-1-122-12-2-1-12-2-2-1-122-1-1-1-120022-11-21111-2-2-1-1-111110-2-220000-2-200-2-2-1-1-1-12200220000000000011200-1-11111-1-10-2-1-100000100
χ3122222-12222-1-122-12-2-1-12-2-2-1-122-1-1-1-1200-2-2-11-21111-2-2-1-1-11111022-200002200221111-2-2002200000000000-1-1-20011-1-1-1-1110-2-1-100000100
χ3222222-12222-1-122-12-2-1-12-2-2-1-122-1-1-1-1200-2-2-11-21111-2-2-1-1-1111102-2200002200-2-211-1-1-2-200-2-200000000000-1120011-1-111-1-1021100000-100
χ332222-1222-1-122222-12-12-1-1-1-12-1-1-1-122-12222-122-1-122-1-1-1-1-1-1-1-1-12200-1-1-1-1-1-122002200-1-100002222-1-1-1-12-1-1200-1-1-1-1-1-10000000000-1-10000
χ342222-1222-1-122222-12-12-1-1-1-12-1-1-1-122-122-2-2-122-1-122-1-1-1-1-1-1-1-1-12-200-1-1-1-1112200-2-200110000-2-2-2-211112-1-1-200-1-111110000000000110000
χ352222-1222-1-122222-12-12-1-1-1-12-1-1-1-122-1-2-222-122-1-122-1-1-1-1-1-1-1-1-1-22001111-1-1-2-2002200-1-10000-2-2-2-21111-21120011-1-1-1-10000000000110000
χ362222-1222-1-122222-12-12-1-1-1-12-1-1-1-122-1-2-2-2-2-122-1-122-1-1-1-1-1-1-1-1-1-2-200111111-2-200-2-2001100002222-1-1-1-1-211-2001111110000000000-1-10000
χ372222-1222-1-122222-1-2-12-111-12-1-1-1-122-12222-1-2-211-2-211-1-1-11111-2-20011-1-11122002200-1-1000022-2-21111-211-200-1-1-1-1110000000000-1-10000
χ382222-1222-1-122222-1-2-12-111-12-1-1-1-122-122-2-2-1-2-211-2-211-1-1-11111-220011-1-1-1-12200-2-200110000-2-222-1-1-1-1-211200-1-111-1-10000000000110000
χ392222-1222-1-122222-1-2-12-111-12-1-1-1-122-1-2-222-1-2-211-2-211-1-1-111112-200-1-11111-2-2002200-1-10000-2-222-1-1-1-12-1-1-20011-1-1110000000000110000
χ402222-1222-1-122222-1-2-12-111-12-1-1-1-122-1-2-2-2-2-1-2-211-2-211-1-1-111112200-1-111-1-1-2-200-2-20011000022-2-211112-1-12001111-1-10000000000-1-10000
χ412-22-2222-22-22-22-2-2-20222002-2-2-2-2-22-222-22i−2i2000000002-2-200000000002-2002-2002i−2i002i−2i00002i−2i0000000000002-22i−2i0000000000002i−2i0000
χ422-22-2222-22-22-22-2-2-20222002-2-2-2-2-22-222-2−2i2i2000000002-2-200000000002-2002-200−2i2i00−2i2i0000−2i2i0000000000002-2−2i2i000000000000−2i2i0000
χ432-22-2222-22-22-22-2-2-20222002-2-2-2-2-22-22-222i−2i2000000002-2-20000000000-2200-22002i−2i002i−2i0000−2i2i000000000000-222i−2i000000000000−2i2i0000
χ442-22-2222-22-22-22-2-2-20222002-2-2-2-2-22-22-22−2i2i2000000002-2-20000000000-2200-2200−2i2i00−2i2i00002i−2i000000000000-22−2i2i0000000000002i−2i0000
χ452-22-2-122-2-112-22-2-210-12-1−i3i3-1-211112-2-12-22i−2i-100−i3i300−i3i3-111−i3−i3i3i30000−i3i3-113−32-2002i−2i00−ii00002i−2i0033−3−30−i3i3000-11−ii3−30000000000−ii0000
χ462-22-2-122-2-112-22-2-210-12-1−i3i3-1-211112-2-12-2−2i2i-100−i3i300−i3i3-111−i3−i3i3i30000−i3i3-11−332-200−2i2i00i−i0000−2i2i00−3−3330−i3i3000-11i−i−330000000000i−i0000
χ472-22-2-122-2-112-22-2-210-12-1−i3i3-1-211112-2-1-222i−2i-100−i3i300−i3i3-111−i3−i3i3i30000i3−i31-13−3-22002i−2i00−ii0000−2i2i00−3−3330i3−i30001-1−ii3−30000000000i−i0000
χ482-22-2-122-2-112-22-2-210-12-1−i3i3-1-211112-2-1-22−2i2i-100−i3i300−i3i3-111−i3−i3i3i30000i3−i31-1−33-2200−2i2i00i−i00002i−2i0033−3−30i3−i30001-1i−i−330000000000−ii0000
χ492-22-2-122-2-112-22-2-210-12-1i3−i3-1-211112-2-12-22i−2i-100i3−i300i3−i3-111i3i3−i3−i30000i3−i3-11−332-2002i−2i00−ii00002i−2i00−3−3330i3−i3000-11−ii−330000000000−ii0000
χ502-22-2-122-2-112-22-2-210-12-1i3−i3-1-211112-2-12-2−2i2i-100i3−i300i3−i3-111i3i3−i3−i30000i3−i3-113−32-200−2i2i00i−i0000−2i2i0033−3−30i3−i3000-11i−i3−30000000000i−i0000
χ512-22-2-122-2-112-22-2-210-12-1i3−i3-1-211112-2-1-222i−2i-100i3−i300i3−i3-111i3i3−i3−i30000−i3i31-1−33-22002i−2i00−ii0000−2i2i0033−3−30−i3i30001-1−ii−330000000000i−i0000
χ522-22-2-122-2-112-22-2-210-12-1i3−i3-1-211112-2-1-22−2i2i-100i3−i300i3−i3-111i3i3−i3−i30000−i3i31-13−3-2200−2i2i00i−i00002i−2i00−3−3330−i3i30001-1i−i3−30000000000−ii0000
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χ5944444-2-2-244-2-2-2-2-24-4-21-2-4-4-21-2-2-2-211-2000012222-1-122111-1-1-1-1004-400000000-2-20022000000000000000000-2200000011-1-1000000000000
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χ614444-24-2-2-2-244-2-24-24-2-21-2-2-2-211-2-2-2-21440014-2-2-2-2-21111111114000-2-2-2-200-2-200000000000000000000-2110001100000000000000000000
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χ634444-24-2-2-2-244-2-24-2-4-2-2122-2-211-2-2-2-2144001-422222-1-1111-1-1-1-1-400022-2-200-2-2000000000000000000002-1-10001100000000000000000000
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χ884-44-4-2-24-4-22-224-42201-2-2−2i32i31222-1-1-22-2004i−4i100i3−i300−2i32i31-1-1i3i3−i3−i30000000023−230000−2i2i00−2i2i00000000000000000000i−i−330000000000000000
χ894-44-4-2-24-4-22-224-42201-2-2−2i32i31222-1-1-22-200−4i4i100i3−i300−2i32i31-1-1i3i3−i3−i300000000−232300002i−2i002i−2i00000000000000000000−ii3−30000000000000000
χ904-44-4-2-24-4-22-224-42201-2-22i3−2i31222-1-1-22-2004i−4i100−i3i3002i3−2i31-1-1−i3−i3i3i300000000−23230000−2i2i00−2i2i00000000000000000000i−i3−30000000000000000
χ914-44-4-2-24-4-22-224-42201-2-22i3−2i31222-1-1-22-200−4i4i100−i3i3002i3−2i31-1-1−i3−i3i3i30000000023−2300002i−2i002i−2i00000000000000000000−ii−330000000000000000
χ924-4-4444-22-4-4-4-42-24404-2-200-42-224-42-220000-2000000002-220000000000000000000000004-4000000000000000000000000000000-22000000
χ934-4-4444-22-4-4-4-42-24404-2-200-42-224-42-220000-2000000002-22000000000000000000000000-440000000000000000000000000000002-2000000
χ944-4-444-24-4-4-422-44-240-2-2400224-4-222-2-40000-2000000002-22000000000000000000000000004-400000000000000000000000000-2200000000
χ954-4-444-24-4-4-422-44-240-2-2400224-4-222-2-40000-2000000002-2200000000000000000000000000-44000000000000000000000000002-200000000
χ964-4-44-244-422-4-4-444-20-24-2002-4-22-22-4420000-2000000002-220000000000000000000000000000004-4-22-220000000000000000000000000000
χ974-4-44-244-422-4-4-444-20-24-2002-4-22-22-4420000-2000000002-22000000000000000000000000000000-442-22-20000000000000000000000000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-48222-4-42222222220000-1-4-4222222-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ998888-4-4-4-4-4-4-4-4-4-4-4-4-8222442222222220000-144-2-2-2-2-2-2-1-1-11111000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-48-4-44-4-8844-840-4-42004-4-224-444-20000200000000-2-220000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4884-44-4-8-84402-4-400-2-44-4-224440000200000000-2-220000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-4-44-44-44444022200-22-22-22-2-2-20000-100006-60011-1-33-33000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4-4-44-44-44444022200-22-22-22-2-2-20000-10000-660011-13-33-3000000000000000000000000000000000000000000000000000000000000
χ1048-88-88-4-448-8-44-444-80-42-400-4-244442-2-400002000000002-2-20000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-44-44-44-44440222−4i34i32-2-2-2-2-22-220000-1002i3−2i3002i3−2i3-111−i3−i3i3i3000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-44-44-44-444402224i3−4i32-2-2-2-2-22-220000-100−2i32i300−2i32i3-111i3i3−i3−i3000000000000000000000000000000000000000000000000000000000000
χ1078-8-888-4-44-8-8444-4-480-42-4004-2-44-44-2240000200000000-22-20000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-48-4444-8-84-48-40-4-4200442-2-444-4-20000200000000-22-20000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-48-84444-88-4-402-4-400-24-442-24-440000200000000-22-20000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-4444444-4-4-4022200-2-22-22-2-22-20000-1000000001-11−3i33i33i3−3i3000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-4444444-4-4-4022200-2-22-22-2-22-20000-1000000001-113i3−3i3−3i33i3000000000000000000000000000000000000000000000000000000000000

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