Finite Group Databasebeta

← Group #13170755

Character table — Group #13170755

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444666666888888888888888899991212121212121212121212121212121212121218181818181818182424242424242424242424242424242436363636363636363654547272108
order12223336666666663334666666666121244444436661212121212121212121212122222244121212121212121212121212121212122222666666661212121212121212121212122246666121244662
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111111111111111111111-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11111-1-11-1-1-1-111-1-1-1-1-1
χ3111111111111111111111111111111111-1-1111111111111111111-1-1-1-111-11111-1-1-1-1111111-1-111-1-1-1-1-1-111111-111-1-11111-1-11-1-111-1-1-1-1-1-11-1-1
χ4111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-11-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11-111-1-1-1-111-1-1-11-1-1-111-1-111-111
χ51111111111111111111111111111111-1-111111111111111111111-1-1-1-11-11-1-1-1-111111111-1-111-1-111-1-1-1-11111-11-1-11111-1-111-11-1-1-111-1-1-1-1-11-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1111-1-111-1-1-1-1111-11
χ71111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11-1-1-1-11111-1-11
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
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-1-111-1-1-1
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-11111-1-111-1-1-111
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1111-1-1-1-1-1-1111-11-1-11111111-1-1
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1111111-1-11-11-1-11111-1-11-11
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-111111-1-1-111-1-111-1-1-11111-1-11111-11-1
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-11111-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-11
χ17222222-122-12-122-122-1-122-1-1-12-1-12-122002222-1-1-1-12-1-1-122-1-1-1-1-1-10000202000022-1-122-1-10022002200002-1-1-10-100-1-1-1-100-1-102000-1-100000-10
χ18222222-122-12-122-122-1-122-1-1-12-1-12-1220022-2-2-1-1-1-12-1-1-122-1-1-1-1-1-10000-202000022-1-1-2-211002200-2-20000-21110-100-1-11100-1-10-2000110000010
χ19222222-122-12-122-122-1-122-1-1-12-1-12-12200-2-222-1-1-1-12-1-1-122-1-1-1-1-1-1000020-20000-2-21122-1-100-2-200-2-200002-1-1-1010011-1-100110-2000110000010
χ20222222-122-12-122-122-1-122-1-1-12-1-12-12200-2-2-2-2-1-1-1-12-1-1-122-1-1-1-1-1-10000-20-20000-2-211-2-21100-2-200220000-211101001111001102000-1-100000-10
χ21222222-122-12-122-122-1-1-22-1-1-12-1-12-1-2-2002222-1-1-1-1-2111-2-21111110000-20-2000022-1-122-1-100-2-200220000-21110100-1-1-1-100110-2000-1-10000010
χ22222222-122-12-122-122-1-1-22-1-1-12-1-12-1-2-20022-2-2-1-1-1-1-2111-2-2111111000020-2000022-1-1-2-21100-2-200-2-200002-1-1-10100-1-1110011020001100000-10
χ23222222-122-12-122-122-1-1-22-1-1-12-1-12-1-2-200-2-222-1-1-1-1-2111-2-21111110000-2020000-2-21122-1-1002200-2-20000-21110-10011-1-100-1-1020001100000-10
χ24222222-122-12-122-122-1-1-22-1-1-12-1-12-1-2-200-2-2-2-2-1-1-1-1-2111-2-211111100002020000-2-211-2-2110022002200002-1-1-10-100111100-1-10-2000-1-10000010
χ2522222-122-12-122-122-12-12-12-1-1-12-1-1222220022-1-1-1-1-12-1-1-1-122-1-1-1-1000022022-1-10000-1-122220022000000-12-1-1-10-1-100-1-1-1-100200-1-1000000-100
χ2622222-122-12-122-122-12-12-12-1-1-12-1-12222200-2-2-1-1-1-1-12-1-1-1-122-1-1-1-10000-22022-1-1000011-2-22200-2-20000001-211-10-1-10011-1-100-20011000000100
χ2722222-122-12-122-122-12-12-12-1-1-12-1-1222-2-20022-1-1-1-1-12-1-1-1-122-1-1-1-100002-20-2-2110000-1-122-2-200-2-2000000-12-1-1101100-1-11100-20011000000100
χ2822222-122-12-122-122-12-12-12-1-1-12-1-1222-2-200-2-2-1-1-1-1-12-1-1-1-122-1-1-1-10000-2-20-2-211000011-2-2-2-200220000001-211101100111100200-1-1000000-100
χ2922222-122-12-122-122-12-1-2-12-1-1-12-1-12-2-2220022-1-1-1-11-21111-2-211110000-2-2022-1-10000-1-122-2-200220000001-21110-1-100-1-11100-200-1-1000000100
χ3022222-122-12-122-122-12-1-2-12-1-1-12-1-12-2-22200-2-2-1-1-1-11-21111-2-2111100002-2022-1-1000011-2-2-2-200-2-2000000-12-1-110-1-10011110020011000000-100
χ3122222-122-12-122-122-12-1-2-12-1-1-12-1-12-2-2-2-20022-1-1-1-11-21111-2-211110000-220-2-2110000-1-1222200-2-20000001-211-101100-1-1-1-10020011000000-100
χ3222222-122-12-122-122-12-1-2-12-1-1-12-1-12-2-2-2-200-2-2-1-1-1-11-21111-2-211110000220-2-211000011-2-2220022000000-12-1-1-10110011-1-100-200-1-1000000100
χ332222-122-12222-122-1-1-122-1-122-1-12-1-1-1-1222200-1-1-1-12222-1-1-1-1-1-1-1-12222022-1-122-1-1220000-1-1-1-10000-1-1-1-1000022-1-1-1-100-1-1-1-10020000-1-100000
χ342222-122-12222-122-1-1-122-1-122-1-12-1-1-1-122-2-200-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-202-2-1-12211-2-20000-1-1110000111100002-2-1-11100-1-11100-200001100000
χ352222-122-12222-122-1-1-122-1-122-1-12-1-1-1-1-2-22200-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-20-2211-2-2-1-122000011-1-1000011110000-2211-1-10011-1-100-200001100000
χ362222-122-12222-122-1-1-122-1-122-1-12-1-1-1-1-2-2-2-200-1-1-1-12222-1-1-1-1-1-1-1-122220-2-211-2-211-2-2000011110000-1-1-1-10000-2-211110011110020000-1-100000
χ372222-122-12222-122-1-1-12-2-1-122-1-12-1-111222200-1-1-1-1-2-2-2-21111111122220-2-2-1-122-1-122000011110000-1-1-1-10000-2-2-1-1-1-100111100-200001100000
χ382222-122-12222-122-1-1-12-2-1-122-1-12-1-11122-2-200-1-1-1-1-2-2-2-211111111-2-2-2-20-22-1-12211-2-2000011-1-1000011110000-22-1-1110011-1-10020000-1-100000
χ392222-122-12222-122-1-1-12-2-1-122-1-12-1-111-2-22200-1-1-1-1-2-2-2-211111111-2-2-2-202-211-2-2-1-1220000-1-1110000111100002-211-1-100-1-1110020000-1-100000
χ402222-122-12222-122-1-1-12-2-1-122-1-12-1-111-2-2-2-200-1-1-1-1-2-2-2-211111111222202211-2-211-2-20000-1-1-1-10000-1-1-1-1000022111100-1-1-1-100-200001100000
χ4122-2-2222222-2-2-2-2-2-22220222-2-2-2-2-2-20000002i−2i22-2-200000000000022-2-2000000000002i−2i2i−2i0000000022-2-200000000002i−2i00000000000002i−2i000
χ4222-2-2222222-2-2-2-2-2-22220222-2-2-2-2-2-20000002i−2i22-2-2000000000000-2-222000000000002i−2i2i−2i00000000-2-22200000000002i−2i0000000000000−2i2i000
χ4322-2-2222222-2-2-2-2-2-22220222-2-2-2-2-2-2000000−2i2i22-2-200000000000022-2-200000000000−2i2i−2i2i0000000022-2-20000000000−2i2i0000000000000−2i2i000
χ4422-2-2222222-2-2-2-2-2-22220222-2-2-2-2-2-2000000−2i2i22-2-2000000000000-2-22200000000000−2i2i−2i2i00000000-2-2220000000000−2i2i00000000000002i−2i000
χ452-22-2222-2-2-222-2-2-222220-2-2-22-2-2-222000000002-2-220000000000002-22-200000000000000000002-22-22-22-200000000000000000002-22-20000000
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χ542-2-22-1221-2-2-2-2-1221-1-12011-2-2-1-12113−32-2-2200-11-1100003−33−333−3−3-222-2000-112-21-1-2200003−3−3300001-1-11000000-111-1003−3−330000000−3300000
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χ924-4-444-24-42-42-44-24-4-24-202-422-24-22-400-440000-22-220000000000000000000-442-2000000000000000000000000002-20000000000000000000000
χ934-4-44-24-22-42-42-24-22-21-202-122-21-22-123−23004-4001-11-1000023−23−33−3−33300000000000-22-2200000023−2300000000000000001-10000−3300000000000000
χ944-4-44-24-22-42-42-24-22-21-202-122-21-22-123−2300-44001-11-1000023−23−33−3−333000000000002-22-2000000−23230000000000000000-1100003−300000000000000
χ954-4-44-24-22-42-42-24-22-21-202-122-21-22-1−2323004-4001-11-10000−23233−333−3−300000000000-22-22000000−232300000000000000001-100003−300000000000000
χ964-4-44-24-22-42-42-24-22-21-202-122-21-22-1−232300-44001-11-10000−23233−333−3−3000000000002-22-200000023−230000000000000000-110000−3300000000000000
χ974-4-44-2-2422-42-4-2-2421-2-20-12221-2-2-1223−234-400001-11-10000−3323−23−3−3330000000-22-220000000023−2300000000000000001-10000−330000000000000000
χ984-4-44-2-2422-42-4-2-2421-2-20-12221-2-2-1223−23-4400001-11-10000−3323−23−3−33300000002-22-200000000−23230000000000000000-1100003−30000000000000000
χ994-4-44-2-2422-42-4-2-2421-2-20-12221-2-2-12−23234-400001-11-100003−3−232333−3−30000000-22-2200000000−232300000000000000001-100003−30000000000000000
χ1004-4-44-2-2422-42-4-2-2421-2-20-12221-2-2-12−2323-4400001-11-100003−3−232333−3−300000002-22-20000000023−230000000000000000-110000−330000000000000000
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
χ10388-8-8-48-4-48-4-844-844-42-40-42-444-244-20000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-48-4-484-844-842-4-402-4-44-244-240000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-4-4-4-44444442220222-2-2-2-2-2-200000000-1-111006i−6i0000−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-4-4-4-44444442220222-2-2-2-2-2-200000000-1-11100−6i6i00003i−3i3i−3i0000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-4-4-844-4-4-8448-4-42044-2244-2-4-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-48-44-848-44-84-4-42-404-24-44-24-42000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4844-8-4844-8-42-4-40-244-4-2442-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-4444-4-4444-42220-2-2-22-2-2-22200000000-111-100000000−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-4444-4-4444-42220-2-2-22-2-2-22200000000-111-1000000003i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000000
χ1128-8-888-4-4-844448-4-4-8-4-42044-2-2-4-4244000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-444444-4-4-442220-2-2-2-2222-2-243−43000000-11-110000−2323−232333−3−30000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-444444-4-4-442220-2-2-2-2222-2-2−4343000000-11-11000023−2323−23−3−3330000000000000000000000000000000000000000000000000000000000000

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