Finite Group Databasebeta

← Group #13168699

Character table — Group #13168699

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666668888888888888888121212121212121212121212121212121212121818181818181818242424242424242424242424242424243636363636363636363654547272108
order1222333666666666333466666666612122222443666121212121212121212121212444666666661212121212121212444412121212666612121212121212121212121244441212121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111111111111111-111111111111111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-111111111111111111111-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-11-11111-1-111111-11-1-1-111-1-1-1-11-1-1
χ4111111111111111111111111111111111-1-1-1-11111111111111111-11-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-111-1-1-1-1-1-1-11-11-1-1-1-11111-111
χ51111111111111111111111111111111-1-1111111111111111111111-11-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-1111-1-1111111-11-11-1-1-1-111-1-1-11-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-1-11-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-111-1-1-1-11-11-1-1-111-1-1111-11
χ71111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11
χ81111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-11
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1111111-1-111111111-1-1-11-1-1-1-11111-1-11-1-11-1-111-1-111-11-1
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1111-1-111-1-111-111-1-1-1-1-111-1-11-11
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-11111-1-1111111-1-1111-1-1-111-1-111-1-1-111-1-1-1-1-111111-1-1
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1111-11111-1-1-1-1111-1-11-1-111-1-1-1-1-111
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1111
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111111111-1-1-1
χ17222222-122-1-122-1222-1-1222-1-1-1-1-1-12-1-1222200-1-1-1-122-1-1-1-122-1-1-1-10222222-1-1-1-1-1-1-1-100002222-1-1-1-1-1-1-1-12200-1-1-1-100000000-1-1000000000
χ18222222-122-1-122-1222-1-1222-1-1-1-1-1-12-1-122-2-200-1-1-1-122-1-1-1-122-1-1-1-102-222-2-2-1-111-1-1110000-2-2-2-21111-1-1112-200-1-1110000000011000000000
χ19222222-122-1-122-1222-1-1222-1-1-1-1-1-12-1-1-2-22200-1-1-1-122-1-1-1-122-1-1-1-10-22-2-22211-1-111-1-10000-2-2-2-2111111-1-1-220011-1-10000000011000000000
χ20222222-122-1-122-1222-1-1222-1-1-1-1-1-12-1-1-2-2-2-200-1-1-1-122-1-1-1-122-1-1-1-10-2-2-2-2-2-21111111100002222-1-1-1-11111-2-200111100000000-1-1000000000
χ21222222-122-1-122-1222-1-1-222-1-1-1-1-1-1211222200-1-1-1-1-2-21111-2-211110-2-22222-1-1-1-11111000022-2-21111-1-1-1-1-2-200111100000000-1-1000000000
χ22222222-122-1-122-1222-1-1-222-1-1-1-1-1-121122-2-200-1-1-1-1-2-21111-2-211110-2222-2-2-1-11111-1-10000-2-222-1-1-1-1-1-111-220011-1-10000000011000000000
χ23222222-122-1-122-1222-1-1-222-1-1-1-1-1-1211-2-22200-1-1-1-1-2-21111-2-2111102-2-2-22211-1-1-1-1110000-2-222-1-1-1-111-1-12-200-1-1110000000011000000000
χ24222222-122-1-122-1222-1-1-222-1-1-1-1-1-1211-2-2-2-200-1-1-1-1-2-21111-2-21111022-2-2-2-21111-1-1-1-1000022-2-2111111112200-1-1-1-100000000-1-1000000000
χ2522222-122-1222-122-1-12-12-1-12-12-12-1-122002222-1-1-1-12-122-1-1-1-1-1-1-1-120200-1-10022002222-1-10000000000-1-10-12-100-1-1-1-1-1-102020000-1-1000-10
χ2622222-122-1222-122-1-12-12-1-12-12-12-1-1220022-2-2-1-1-1-12-122-1-1-1-1-1-1-1-1-20200-1-100220022-2-2110000000000-1-10-1-2100-1-111110-20-200001100010
χ2722222-122-1222-122-1-12-12-1-12-12-12-1-12200-2-222-1-1-1-12-122-1-1-1-1-1-1-1-120-2001100-2-200-2-222-1-1000000000011012-10011-1-1-1-10-20-200001100010
χ2822222-122-1222-122-1-12-12-1-12-12-12-1-12200-2-2-2-2-1-1-1-12-122-1-1-1-1-1-1-1-1-20-2001100-2-200-2-2-2-21100000000001101-210011111102020000-1-1000-10
χ2922222-122-1222-122-1-12-1-2-1-12-12-12-1-1-2-2002222-1-1-1-1-21-2-211111111-20-200-1-1002200-2-222-1-10000000000-1-101-210011-1-111020-20000-1-100010
χ3022222-122-1222-122-1-12-1-2-1-12-12-12-1-1-2-20022-2-2-1-1-1-1-21-2-21111111120-200-1-1002200-2-2-2-2110000000000-1-1012-1001111-1-10-202000011000-10
χ3122222-122-1222-122-1-12-1-2-1-12-12-12-1-1-2-200-2-222-1-1-1-1-21-2-211111111-202001100-2-2002222-1-10000000000110-1-2100-1-1-1-1110-202000011000-10
χ3222222-122-1222-122-1-12-1-2-1-12-12-12-1-1-2-200-2-2-2-2-1-1-1-1-21-2-211111111202001100-2-20022-2-2110000000000110-12-100-1-111-1-1020-20000-1-100010
χ332222-122-1222-122-12-1-122-1-1-12-12-12-122220022-1-1-1-1-12-1-122-1-1-1-1-1-1220-1-10022002200-1-12200000000-1-100-10-12-1-100-1-1-1-1202000-1-10000-100
χ342222-122-1222-122-12-1-122-1-1-12-12-12-1222200-2-2-1-1-1-1-12-1-122-1-1-1-1-1-1-220-1-1002200220011-2-200000000-1-100-101-2-1-1001111-20-2000110000100
χ352222-122-1222-122-12-1-122-1-1-12-12-12-122-2-20022-1-1-1-1-12-1-122-1-1-1-1-1-12-201100-2-200-2-200-1-12200000000110010-121100-1-1-1-1-20-2000110000100
χ362222-122-1222-122-12-1-122-1-1-12-12-12-122-2-200-2-2-1-1-1-1-12-1-122-1-1-1-1-1-1-2-201100-2-200-2-20011-2-2000000001100101-211001111202000-1-10000-100
χ372222-122-1222-122-12-1-12-2-1-1-12-12-12-1-2-2220022-1-1-1-11-211-2-2111111-2-20-1-1002200-2-200-1-12200000000-1-100101-21100-1-11120-2000-1-10000100
χ382222-122-1222-122-12-1-12-2-1-1-12-12-12-1-2-22200-2-2-1-1-1-11-211-2-21111112-20-1-1002200-2-20011-2-200000000-1-10010-12110011-1-1-202000110000-100
χ392222-122-1222-122-12-1-12-2-1-1-12-12-12-1-2-2-2-20022-1-1-1-11-211-2-2111111-2201100-2-2002200-1-122000000001100-101-2-1-100-1-111-202000110000-100
χ402222-122-1222-122-12-1-12-2-1-1-12-12-12-1-2-2-2-200-2-2-1-1-1-11-211-2-21111112201100-2-200220011-2-2000000001100-10-12-1-10011-1-120-2000-1-10000100
χ4122-2-222222-22-2-2-2-2-222202-222-2-2-2-2-2002-22-20022-2-20000000000000002-22-22-22-2000000002-20000002-22-200000000000000002-2000000000
χ4222-2-222222-22-2-2-2-2-222202-222-2-2-2-2-2002-2-220022-2-20000000000000002-2-222-2-2200000000-220000002-2-220000000000000000-22000000000
χ4322-2-222222-22-2-2-2-2-222202-222-2-2-2-2-200-222-20022-2-2000000000000000-222-2-222-200000000-22000000-222-20000000000000000-22000000000
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χ4622-2-222-1221-1-2-21-2-22-1-102-2-1-11111-23−32-2-2200-1-111003−33−30033−3−30002-2-22-111-13−3−330000-2200−3−333-111-100003−3−33000000001-1000000000
χ4722-2-222-1221-1-2-21-2-22-1-102-2-1-11111-23−3-222-200-1-111003−33−30033−3−3000-222-21-1-11−333−30000-2200−3−3331-1-110000−333−3000000001-1000000000
χ4822-2-222-1221-1-2-21-2-22-1-102-2-1-11111-23−3-22-2200-1-111003−33−30033−3−3000-22-221-11-1−33−3300002-20033−3−31-11-10000−33−3300000000-11000000000
χ4922-2-222-1221-1-2-21-2-22-1-102-2-1-11111-2−332-22-200-1-11100−33−3300−3−3330002-22-2-11-11−33−3300002-200−3−333-11-110000−33−3300000000-11000000000
χ5022-2-222-1221-1-2-21-2-22-1-102-2-1-11111-2−332-2-2200-1-11100−33−3300−3−3330002-2-22-111-1−333−30000-220033−3−3-111-10000−333−3000000001-1000000000
χ5122-2-222-1221-1-2-21-2-22-1-102-2-1-11111-2−33-222-200-1-11100−33−3300−3−333000-222-21-1-113−3−330000-220033−3−31-1-1100003−3−33000000001-1000000000
χ5222-2-222-1221-1-2-21-2-22-1-102-2-1-11111-2−33-22-2200-1-11100−33−3300−3−333000-22-221-11-13−33−300002-200−3−3331-11-100003−33−300000000-11000000000
χ532-22-2222-2-22-2-2-2-2222220-2-2-2-222-2-220000002-22-2-220000000000000000000000000002-22-2002i−2i2i−2i2i−2i0000000000002-20000000000002i−2i000
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χ934-4-4444-2-4-42244-2-4-44-2-20-442222-2-2-400000000-22-22000000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000000
χ944-4-444-24-42-4-44-24-42-24-202-2-42-424-2200000000-22-2200000000000000000000000000000000000000000000000000000000000000023−2300000
χ954-4-444-24-42-4-44-24-42-24-202-2-42-424-2200000000-22-22000000000000000000000000000000000000000000000000000000000000000−232300000
χ964-4-44-2442-4-4-4-2442-4-2-2402-22-42-4-24200000000-22-22000000000000000000000000000000000000000000000000000000000000023−230000000
χ974-4-44-2442-4-4-4-2442-4-2-2402-22-42-4-24200000000-22-220000000000000000000000000000000000000000000000000000000000000−23230000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4000000-1-1-1-1-4-4222222-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ998888-4-4-4-4-4-4-4-4-4-4-4-4222-822222222244000000-1-1-1-144-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-48-4-4-8844-8442-4-402-2-4-44444-20000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-4-4-44-44444422202-222-2-2-2-2-243−43000000-1-11100−2323−23230033−3−30000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-4-4-44-44444422202-222-2-2-2-2-2−4343000000-1-1110023−2323−2300−3−3330000000000000000000000000000000000000000000000000000000000
χ1038-88-88-4-4-84-44-8448-4-4-420444-2-424-2-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-48-44-8-444-84-48-42-4044-242-4-24-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-444-44444-4-42220-2-2-2-222-2-2200000000-111-10000006-6-33-330000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-444-44444-4-42220-2-2-2-222-2-2200000000-111-1000000-663-33-30000000000000000000000000000000000000000000000000000000000
χ1078-8-888-4-4-84448-4-4-84-4-4204-44-24-2-424000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-48-44-844-48-44-8-42-404-4-24-242-44000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-4844-8-8-4-48442-4-40-224444-4-4-2000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-44444-4-4-4442220-22-2-2-2-222-200000000-11-110000000033−33−33330000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-44444-4-4-4442220-22-2-2-2-222-200000000-11-1100000000−333333−330000000000000000000000000000000000000000000000000000000000

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