Finite Group Databasebeta

← Group #13169437

Character table — Group #13169437

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222222244444444444444444466668888888888888812121212121212121212121212121212121212121818181818181818181818181818242424242424242424242424242424243636363636363636363636108108
order1222333446666666663336666666661212121212124444366612121212121212121212444412121212121212121212121212121212444444121212121212121212121212121212121212121212121212444121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111111111-11-1-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111-1-1-1-111-1-1
χ6111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-111
χ7111111111111111111111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-1-111-1-1-1-111
χ8111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-111-1-111-1-1111111111111111-11-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1111-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-11-1-1111-1-1-1-11111-1-1-11111-1-111-1-1-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-111-1-1-11111-1-111-1-11-111111-1-1-1-1-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-11111-1-111-1-1-11111111-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-11111-1-1-1111111-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-111111-1-1111-1-1-1-111-1-1111-111111-1-1-1-11-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-1-111-1-1-11111-1-1-1-111-11111-1-111-1-11-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-111-1-11111111111111111-11-11-1-111-1-111-1-111-1-1-1-1-1-1-1-1-111-11
χ17222222-12222-122-12-122-1-12-1-1-12-12-1-12222-1-12222-1-1-1-122-1-1-1-1-1-1-1-1002222-1-122-1-10000-1-1-1-10000220000-1-1-1-100220000-1-1-1-1-1-1-1-10200000-1-10000
χ18222222-12222-122-12-122-1-12-1-1-12-12-1-12222-1-12222-1-1-1-122-1-1-1-1-1-1-1-100-2-222-1-122-1-1000011110000-2-20000111100-2-200001111-1-1-1-10-200000110000
χ19222222-12222-122-12-122-1-12-1-1-12-12-1-12222-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-1-1-10022-2-211-2-2110000-1-1-1-10000-2-20000111100220000-1-1-1-111110-200000110000
χ20222222-12222-122-12-122-1-12-1-1-12-12-1-12222-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-1-1-100-2-2-2-211-2-211000011110000220000-1-1-1-100-2-20000111111110200000-1-10000
χ21222222-1-2-222-122-12-122-1-12-1-1-12-12-1-1-2-2-2-21122-2-2-1-1-1-1-2-211111111002-222-1-1-2-2110000-1-1110000220000-1-1-1-1002-20000-1-111-1-1110-200000110000
χ22222222-1-2-222-122-12-122-1-12-1-1-12-12-1-1-2-2-2-21122-2-2-1-1-1-1-2-21111111100-2222-1-1-2-211000011-1-10000-2-20000111100-22000011-1-1-1-1110200000-1-10000
χ23222222-1-2-222-122-12-122-1-12-1-1-12-12-1-1-2-2-2-211-2-222-1-1-1-1-2-211111111002-2-2-21122-1-10000-1-1110000-2-200001111002-20000-1-11111-1-10200000-1-10000
χ24222222-1-2-222-122-12-122-1-12-1-1-12-12-1-1-2-2-2-211-2-222-1-1-1-1-2-21111111100-22-2-21122-1-1000011-1-10000220000-1-1-1-100-22000011-1-111-1-10-200000110000
χ2522222-12222-122-12-122-12-1-12-1-1-12-12-122-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12200-1-122-1-122-1-1-1-10000002200-1-1-1-100002200-1-1-1-10000-1-1-1-120000-1-1000000
χ2622222-12222-122-12-122-12-1-12-1-1-12-12-122-1-1222222-1-1-1-1-1-122-1-1-1-1-1-1-2-200-1-122-1-1221111000000-2-20011110000-2-20011110000-1-1-1-1-2000011000000
χ2722222-12222-122-12-122-12-1-12-1-1-12-12-122-1-122-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-1220011-2-211-2-2-1-1-1-1000000-2-200111100002200-1-1-1-100001111-2000011000000
χ2822222-12222-122-12-122-12-1-12-1-1-12-12-122-1-122-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-1-2-20011-2-211-2-211110000002200-1-1-1-10000-2-20011110000111120000-1-1000000
χ2922222-12-2-22-122-12-122-12-1-12-1-1-12-12-1-2-211-2-222-2-2-1-1-1-111-2-21111112-200-1-12211-2-2-1-1110000002200-1-1-1-100002-200-1-1110000-1-111-2000011000000
χ3022222-12-2-22-122-12-122-12-1-12-1-1-12-12-1-2-211-2-222-2-2-1-1-1-111-2-2111111-2200-1-12211-2-211-1-1000000-2-20011110000-220011-1-10000-1-11120000-1-1000000
χ3122222-12-2-22-122-12-122-12-1-12-1-1-12-12-1-2-211-2-2-2-222-1-1-1-111-2-21111112-20011-2-2-1-122-1-111000000-2-200111100002-200-1-111000011-1-120000-1-1000000
χ3222222-12-2-22-122-12-122-12-1-12-1-1-12-12-1-2-211-2-2-2-222-1-1-1-111-2-2111111-220011-2-2-1-12211-1-10000002200-1-1-1-10000-220011-1-1000011-1-1-2000011000000
χ332222-12222-122-12222-1-1-12-1-122-1-1-1-12-1-122220000-1-1-1-1-1-1-1-122-1-1-1-12222000000002222222222000000000000-1-1-1-1-1-1-1-1-1-1-1-10000002-1-10000-1-100
χ342222-12222-122-12222-1-1-12-1-122-1-1-1-12-1-122220000-1-1-1-1-1-1-1-122-1-1-1-122-2-2000000002222-2-2-2-2-2-2000000000000-1-111-1-1-1-11111000000-21100001100
χ352222-12222-122-12222-1-1-12-1-122-1-1-1-12-1-122220000-1-1-1-1-1-1-1-122-1-1-1-1-2-22200000000-2-2-2-22222-2-200000000000011-1-11111-1-1-1-1000000-21100001100
χ362222-12222-122-12222-1-1-12-1-122-1-1-1-12-1-122220000-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-200000000-2-2-2-2-2-2-2-2220000000000001111111111110000002-1-10000-1-100
χ372222-122-2-2-122-12222-1-1-12-1-122-1-1-1-1211-2-2-2-20000-1-1-1-11111-2-211112-22-20000000022-2-222-2-222000000000000-11-11-1-111-1-111000000-2110000-1-100
χ382222-122-2-2-122-12222-1-1-12-1-122-1-1-1-1211-2-2-2-20000-1-1-1-11111-2-211112-2-220000000022-2-2-2-222-2-2000000000000-111-1-1-11111-1-10000002-1-100001100
χ392222-122-2-2-122-12222-1-1-12-1-122-1-1-1-1211-2-2-2-20000-1-1-1-11111-2-21111-222-200000000-2-22222-2-2-2-20000000000001-1-1111-1-1-1-1110000002-1-100001100
χ402222-122-2-2-122-12222-1-1-12-1-122-1-1-1-1211-2-2-2-20000-1-1-1-11111-2-21111-22-2200000000-2-222-2-222220000000000001-11-111-1-111-1-1000000-2110000-1-100
χ4122-2-22222-2222-2-2-2-2-2-2222-2-2-2-222-2-222-22-22-22-22-22-2-222-22-22-222-2-200002-22-22-22-200000000000000000000000000000000002-22-20000000000000
χ4222-2-22222-2222-2-2-2-2-2-2222-2-2-2-222-2-222-22-22-2-22-222-2-222-22-22-222-2-20000-22-22-22-220000000000000000000000000000000000-22-220000000000000
χ4322-2-2222-22222-2-2-2-2-2-2222-2-2-2-222-2-22-22-22-222-2-222-2-22-22-22-22-2-22200002-22-2-22-2200000000000000000000000000000000002-2-220000000000000
χ4422-2-2222-22222-2-2-2-2-2-2222-2-2-2-222-2-22-22-22-22-222-22-2-22-22-22-22-2-2220000-22-222-22-20000000000000000000000000000000000-222-20000000000000
χ4522-2-222-12-222-1-2-21-21-22-1-1-21112-1-21-12-22-2-112-22-2-111-12-2-11-11-1-11100002-2-112-2-1100003−33−3000000000033−3−3000000003−33−3-11-1100000003−30000
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χ4822-2-222-12-222-1-2-21-21-22-1-1-21112-1-21-12-22-2-11-22-22-111-12-2-11-11-1-1110000-221-1-221-10000−33−33000000000033−3−300000000−33−331-11-100000003−30000
χ4922-2-222-1-2222-1-2-21-21-22-1-1-21112-1-21-1-22-221-12-2-22-111-1-221-11-111-1-100002-2-11-221-100003−3−33000000000033−3−3000000003−3−33-111-10000000−330000
χ5022-2-222-1-2222-1-2-21-21-22-1-1-21112-1-21-1-22-221-12-2-22-111-1-221-11-111-1-100002-2-11-221-10000−333−30000000000−3−33300000000−333−3-111-100000003−30000
χ5122-2-222-1-2222-1-2-21-21-22-1-1-21112-1-21-1-22-221-1-222-2-111-1-221-11-111-1-10000-221-12-2-1100003−3−330000000000−3−333000000003−3−331-1-1100000003−30000
χ5222-2-222-1-2222-1-2-21-21-22-1-1-21112-1-21-1-22-221-1-222-2-111-1-221-11-111-1-10000-221-12-2-110000−333−3000000000033−3−300000000−333−31-1-110000000−330000
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χ5922-2-22-12-222-12-21-21-2-2-12-11-211-121-2-1-221-1-22-222-2-111-11-1-221-111-1-100001-1-22-112-23−3−330000000000−3−333000000003−3−3300001-1-11000003−3000000
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χ8444-4-4-24-24-4-24-22-42-422-21-22-122-212-1-2-224-4-2200001-1-11-221-1-2211-1-10000000000000000−2323−232300000000000000000000003−33−300000000000000000
χ8544-4-4-24-2-44-24-22-42-422-21-22-122-212-1-22-2-442-200001-1-112-2-112-2-1-111000000000000000023−23−23230000000000000000000000−333−300000000000000000
χ8644-4-4-24-2-44-24-22-42-422-21-22-122-212-1-22-2-442-200001-1-112-2-112-2-1-1110000000000000000−232323−2300000000000000000000003−3−3300000000000000000
χ8744-4-4-2-244-4-2-2422-42-421-2-2-12221-2-12-2-22-224-400001-1-111-1-22-2211-1-100000000000023−2323−230000000000000000000000−33−33000000000000000000000
χ8844-4-4-2-244-4-2-2422-42-421-2-2-12221-2-12-2-22-224-400001-1-111-1-22-2211-1-1000000000000−2323−232300000000000000000000003−33−3000000000000000000000
χ8944-4-4-2-24-44-2-2422-42-421-2-2-12221-2-12-22-22-2-4400001-1-11-112-22-2-1-11100000000000023−23−23230000000000000000000000−333−3000000000000000000000
χ9044-4-4-2-24-44-2-2422-42-421-2-2-12221-2-12-22-22-2-4400001-1-11-112-22-2-1-111000000000000−232323−2300000000000000000000003−3−33000000000000000000000
χ914-44-444-200-4-42-4-424-244-2-2-42-22-424-220000000000-2-22200000000000000000000000000000000004i−4i0000−2i2i−2i2i00000000000000000000000000000
χ924-44-444-200-4-42-4-424-244-2-2-42-22-424-220000000000-2-2220000000000000000000000000000000000−4i4i00002i−2i2i−2i00000000000000000000000000000
χ934-44-44-2400-42-4-42-4-244-24-22-4-222-4-2420000000000-2-222000000000000000000000000000000004i−4i00−2i2i−2i2i000000000000000000000000000000000
χ944-44-44-2400-42-4-42-4-244-24-22-4-222-4-2420000000000-2-22200000000000000000000000000000000−4i4i002i−2i2i−2i000000000000000000000000000000000
χ954-44-4-244002-4-42-4-444-2-2-24224-422-2-2-40000000000-2-2220000000000000000000000000000004-40000000000000000000000000000000000000-2200
χ964-44-4-244002-4-42-4-444-2-2-24224-422-2-2-40000000000-2-222000000000000000000000000000000-4400000000000000000000000000000000000002-200
χ974-4-4444400-4-4-4444-4-4-444444-44-4-4-4-4-400000000004-44-40000000000000000000000000000000000000000000000000000000000000000000000000
χ984-4-4444-200-4-4244-2-42-44-2-24-22-2-42-4220000000000-22-220000000000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000000000
χ994-4-4444-200-4-4244-2-42-44-2-24-22-2-42-4220000000000-22-2200000000000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000000000
χ1004-4-444-2400-42-44-242-4-4-24-2-242-22-42-420000000000-22-22000000000000000000000000000000000000−2i32i32i3−2i3000000000000000000000000000000000
χ1014-4-444-2400-42-44-242-4-4-24-2-242-22-42-420000000000-22-220000000000000000000000000000000000002i3−2i3−2i32i3000000000000000000000000000000000
χ1024-4-44-244002-4-4-244-4-42-2-24-2-2-442222-40000000000-22-22000000000000000000000000000000000000000000000000000000000000000−2i32i300000000
χ1034-4-44-244002-4-4-244-4-42-2-24-2-2-442222-40000000000-22-220000000000000000000000000000000000000000000000000000000000000002i3−2i300000000
χ1048888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-40000-1-1-1-1222222-1-1-1-1000000000000000000000000000000000000000000000000000000000000000
χ1058888-4-4-4-8-8-4-4-4-4-4-4-4-4-42222222222224444440000-1-1-1-1-2-2-2-2-2-21111000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-48-8-4-4-4444444222-2-2-2-222-2-22-44-44-440000-111-12-22-22-2-1-111000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-4-88-4-4-4444444222-2-2-2-222-2-224-44-44-40000-111-1-22-22-2211-1-1000000000000000000000000000000000000000000000000000000000000000
χ1088-88-88-4-400-844-844-4-48-4-42442-244-4-4-2000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-48-4004-844-848-4-4-42-44-2-444-2-424000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-480044-844-8-48-42-4-4-24-44-242-44000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-400444444-4-4-4222-2-22-2-2-222-20000000000-1-11100000033−3333−33000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4-400444444-4-4-4222-2-22-2-2-222-20000000000-1-111000000−3333−3333000000000000000000000000000000000000000000000000000000000000000
χ1138-8-888-4-400-8448-4-444-8-4-42-4-4-224444-200000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-48-4004-84-48-4-844-42-4-424-44-24-2400000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-88-4-480044-8-4-484-842-4-42-44-4-24-24400000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-400444-4-4-444422222-22-2-2-2-2-20000000000-11-1100000033−33−3333000000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-400444-4-4-444422222-22-2-2-2-2-20000000000-11-11000000−333333−33000000000000000000000000000000000000000000000000000000000000000

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