Finite Group Databasebeta

← Group #13170780

Character table — Group #13170780

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444666666888888888888888899991212121212121212121212121212121212121218181818181818182424242424242424242424242424242436363636363636363654547272108
order12223336666666663334666666666121222444436661212121212121212121212122222224666666661212121212121212444466666666666612121212121212124441212121212122212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111111111111111-1-1-1-11-11111111-1-111-1-111-1-111-1-1-1-1-1-11-11111-1-1111111-1-1-11-1-1-111-1-1-1-11-1-1
χ3111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1111111-1-111-1-111-1-111-1-111-1-1-1-1-1111-1-1111111-1-111-1-11-1-1-1-111-1-1-11-1
χ4111111111111111111111111111111111-1-1-1-111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11-1-111-1-1-1-111-1-11
χ51111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1111111111111-1-1-1-1111111-1-11111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-11-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-11-1-1-111-1-1-1-1-1-111-1-1-1-11-1-1-1-11111-111
χ71111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-11-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-111-11-1-1-111-1-1111-11
χ81111111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-11111-1-111-1-111-1-1-1-1-1-1-1111-1-111-1-1-1-111-1-11-111111-1-1-1-1-111
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-111-1-111-1-111-1-1-1-11-11111-1-1-1-1-1-1-1-11111-111-1-111-1-11-11
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1111
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-11-1-1-1-111111111-1-111-111-1-111111-1-1
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-11-1-1-111-1-11111-1-1111-111111-1-111-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11
χ17222222-1-12222-1-1222-1-122-1-12-1-12-1-1-1-1002222-1-1-1-12222-1-1-1-1-1-1-1-122222200000-1-1-1-1-1-1-1-122220000-1-1-1-12200-1-1-1-10000-1-1-1-1200-1-1000000000
χ18222222-1-12222-1-1222-1-122-1-12-1-12-1-1-1-10022-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-22-200000-1-111-1-11122-2-2000011112-200-1-1110000-1-111-20011000000000
χ19222222-1-12222-1-1222-1-122-1-12-1-12-1-1-1-100-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-220000011-1-111-1-1-2-22200001111-220011-1-1000011-1-1-20011000000000
χ20222222-1-12222-1-1222-1-122-1-12-1-12-1-1-1-100-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-12222-2-20000011111111-2-2-2-20000-1-1-1-1-2-200111100001111200-1-1000000000
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χ22222222-1-12222-1-1222-1-1-22-1-12-1-12-1-1110022-2-2-1-1-1-1-2-2-2-211111111-2-2-2-2-220000011-1-1-1-11122-2-200001111-220011-1-10000-1-111200-1-1000000000
χ23222222-1-12222-1-1222-1-1-22-1-12-1-12-1-11100-2-222-1-1-1-1-2-2-2-211111111-2-2-2-22-200000-1-11111-1-1-2-222000011112-200-1-111000011-1-1200-1-1000000000
χ24222222-1-12222-1-1222-1-1-22-1-12-1-12-1-11100-2-2-2-2-1-1-1-1-2-2-2-21111111122222200000-1-1-1-11111-2-2-2-20000-1-1-1-12200-1-1-1-100001111-20011000000000
χ2522222-1222-12-1222-1-12-12-12-1-12-1-12-122220022-1-1-1-12-1-1-122-1-1-1-1-1-1000002222-1-10022002200-1-1002200000-1-1-100-1-12-1-1-100-1-10020000-1-1000-10
χ2622222-1222-12-1222-1-12-12-12-1-12-1-12-1222200-2-2-1-1-1-12-1-1-122-1-1-1-1-1-100000-2222-1-100-2-200-2-2001100-2-2000001-1-100112-1-1-1001100-200001100010
χ2722222-1222-12-1222-1-12-12-12-1-12-1-12-122-2-20022-1-1-1-12-1-1-122-1-1-1-1-1-1000002-2-2-2110022002200-1-100-2-200000-11100-1-1-211100-1-100-200001100010
χ2822222-1222-12-1222-1-12-12-12-1-12-1-12-122-2-200-2-2-1-1-1-12-1-1-122-1-1-1-1-1-100000-2-2-2-21100-2-200-2-200110022000001110011-211100110020000-1-1000-10
χ2922222-1222-12-1222-1-12-1-2-12-1-12-1-12-1-2-2220022-1-1-1-1-2111-2-211111100000-2-222-1-100-2-2002200-1-10022000001-1-10011-211100-1-100-20000-1-100010
χ3022222-1222-12-1222-1-12-1-2-12-1-12-1-12-1-2-22200-2-2-1-1-1-1-2111-2-2111111000002-222-1-1002200-2-2001100-2-200000-1-1-100-1-1-21110011002000011000-10
χ3122222-1222-12-1222-1-12-1-2-12-1-12-1-12-1-2-2-2-20022-1-1-1-1-2111-2-211111100000-22-2-21100-2-2002200-1-100-2-20000011100112-1-1-100-1-1002000011000-10
χ3222222-1222-12-1222-1-12-1-2-12-1-12-1-12-1-2-2-2-200-2-2-1-1-1-1-2111-2-21111110000022-2-211002200-2-20011002200000-11100-1-12-1-1-1001100-20000-1-100010
χ332222-1222-12-1222-12-1-122-1-12-1-12-1-1222222200-1-1-1-1-12-1-1-1-122-1-1-1-10000202-1-12222002200-1-10022000000-10-1-1-1-100-12-1-1-1-10002000-1-10000-100
χ342222-1222-12-1222-12-1-122-1-12-1-12-1-122222-2-200-1-1-1-1-12-1-1-1-122-1-1-1-10000-202-1-122-2-200-2-2001100-2-200000010-1-11100-12-1-111000-2000110000100
χ352222-1222-12-1222-12-1-122-1-12-1-12-1-1222-2-22200-1-1-1-1-12-1-1-1-122-1-1-1-1000020-211-2-222002200-1-100-2-2000000-1011-1-1001-211-1-1000-2000110000100
χ362222-1222-12-1222-12-1-122-1-12-1-12-1-1222-2-2-2-200-1-1-1-1-12-1-1-1-122-1-1-1-10000-20-211-2-2-2-200-2-200110022000000101111001-211110002000-1-10000-100
χ372222-1222-12-1222-12-1-12-2-1-12-1-12-1-12-2-2222200-1-1-1-11-21111-2-211110000-20-2-1-122-2-2002200-1-1002200000010-1-111001-211-1-1000-2000-1-10000100
χ382222-1222-12-1222-12-1-12-2-1-12-1-12-1-12-2-222-2-200-1-1-1-11-21111-2-21111000020-2-1-1222200-2-2001100-2-2000000-10-1-1-1-1001-211110002000110000-100
χ392222-1222-12-1222-12-1-12-2-1-12-1-12-1-12-2-2-2-22200-1-1-1-11-21111-2-211110000-20211-2-2-2-2002200-1-100-2-200000010111100-12-1-1-1-10002000110000-100
χ402222-1222-12-1222-12-1-12-2-1-12-1-12-1-12-2-2-2-2-2-200-1-1-1-11-21111-2-21111000020211-2-22200-2-200110022000000-1011-1-100-12-1-111000-2000-1-10000100
χ4122-2-2222-222-2-2-22-2-22220-2-2-2222-2-2-2000000002-2-2200000000000022-2-200000000000000000002i−2i2i−2i22-2-20000000000000000000002i−2i2i−2i00000
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χ854-44-4-24442-4-24-4-42-4-2-2402-2422-4-22-400004i−4i00-2-2220000000000000000000000000004i−4i00−2i2i0000000000000000000000−2i2i0000000000000000
χ864-44-4-24442-4-24-4-42-4-2-2402-2422-4-22-40000−4i4i00-2-222000000000000000000000000000−4i4i002i−2i00000000000000000000002i−2i0000000000000000
χ874-44-4-24-2-22-4-24222-4-21-2021-22-12-2-1223−23004i−4i0011-1-10000−3323−23−3−33300000000000−2i32i300−2i2i00−2i2i00000000000000i3−i3000000i−i0000000000000000
χ884-44-4-24-2-22-4-24222-4-21-2021-22-12-2-1223−2300−4i4i0011-1-10000−3323−23−3−333000000000002i3−2i3002i−2i002i−2i00000000000000−i3i3000000−ii0000000000000000
χ894-44-4-24-2-22-4-24222-4-21-2021-22-12-2-12−2323004i−4i0011-1-100003−3−232333−3−3000000000002i3−2i300−2i2i00−2i2i00000000000000−i3i3000000i−i0000000000000000
χ904-44-4-24-2-22-4-24222-4-21-2021-22-12-2-12−232300−4i4i0011-1-100003−3−232333−3−300000000000−2i32i3002i−2i002i−2i00000000000000i3−i3000000−ii0000000000000000
χ914-4-4444-22-4-4-4-4-22444-2-20422-422-4-2-200000000-22-220000000000004-4-4400000000000000000000000-222-2000000000000000000000000000000
χ924-4-4444-22-4-4-4-4-22444-2-20422-422-4-2-200000000-22-22000000000000-444-4000000000000000000000002-2-22000000000000000000000000000000
χ934-4-444-24-4-42-424-44-2-24-20-2-422-4224-2004-40000-22-2200000000000000000004-4-220000000000000000000000-2200000000000000000000000000
χ944-4-444-24-4-42-424-44-2-24-20-2-422-4224-200-440000-22-220000000000000000000-442-200000000000000000000002-200000000000000000000000000
χ954-4-44-244-42-42-44-4-24-2-240-22-422-42-24004-40000-22-220000000000000000000-224-40000000000000000000000-2200000000000000000000000000
χ964-4-44-244-42-42-44-4-24-2-240-22-422-42-2400-440000-22-2200000000000000000002-2-4400000000000000000000002-200000000000000000000000000
χ974-4-44-2-24-422224-4-2-21-2-20122-122-1-2-2004-400001-11-1003i−3i00003i−3i3i−3i0000000-22-2200000000000000000000001-10000003i−3i000000000000000000
χ984-4-44-2-24-422224-4-2-21-2-20122-122-1-2-2004-400001-11-100−3i3i0000−3i3i−3i3i0000000-22-2200000000000000000000001-1000000−3i3i000000000000000000
χ994-4-44-2-24-422224-4-2-21-2-20122-122-1-2-200-4400001-11-1003i−3i00003i−3i3i−3i00000002-22-20000000000000000000000-11000000−3i3i000000000000000000
χ1004-4-44-2-24-422224-4-2-21-2-20122-122-1-2-200-4400001-11-100−3i3i0000−3i3i−3i3i00000002-22-20000000000000000000000-110000003i−3i000000000000000000
χ1018888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4000000-1-1-1-1-4-4222222-1-1-1-10000000000000000000000000000000000000000000000000000000000000
χ1028888-4-4-4-4-4-4-4-4-4-4-4-4222-822222222244000000-1-1-1-144-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000000000
χ10388-8-88-4-448-4-844-4-84-4-42044-2-4-4244-2000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-48-44-484-84-44-8-42-404-24-42-44-24000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-48-8-4-444-88442-4-40-2442-4-4-244000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-44-4-4444-4442220-2-2-2222-2-2-200000000-111-100000000−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-44-4-4444-4442220-2-2-2222-2-2-200000000-111-1000000003i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-48844-4-4-8-8442-4-40-2-4-4-2442440000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4-4-444-4-444442220-222-2-2-22-2-243−43000000-1-1110000−2323−232333−3−30000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-4-444-4-444442220-222-2-2-22-2-2−4343000000-1-111000023−2323−23−3−3330000000000000000000000000000000000000000000000000000000000000
χ1118-8-888-4-44-84-84-448-4-4-420-44-244-24-42000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-48-444-84-8-44-48-42-40-4-244-2442-4000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-444444-44-4-422202-2-2-2-2-2-22200000000-11-11006i−6i0000−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-444444-44-4-422202-2-2-2-2-2-22200000000-11-1100−6i6i00003i−3i3i−3i0000000000000000000000000000000000000000000000000000000000000

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