Finite Group Databasebeta

← Group #13168732

Character table — Group #13168732

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818181818181818182424242424242424242424242424242436363636363636367272108108
order12223336666666663334666666666121222443666121212121212121212121212444466661212121212121212121212122244444412121212661212121212121212121212121212446612121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-11111111111111-1-1-1-11111-1-1-1-11111111-11-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-11111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1111-1-1-1-11111-11-1-1-1-1111-1-1-1
χ4111111111111111111111111111111111-1-11111111111111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-11-1-1-111-1-1-1111
χ51111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-1111111111-1-1-111-1-1-11-1-1
χ61111111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-11-1-1-1-1111-111
χ71111111111111111111111111111111-1-1-1-11111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-11-11-1-1-1-1-1-11111-1-111-1-1-1-1-1-111
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
χ91111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11111-1-111-1-111-1-111-1-1-1-1-1-111-1-1-11-1-111-1-111-1-11-111-1-111-111-1
χ101111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-11-1-1-1-111-1-1-1-111-111111-1-11-1-11
χ111111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1111111111111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-11
χ121111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-1111111-111-1-1-1-1-111-1-11111-1-1-1-1-1-1111-1
χ131111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1111111-1-111-1-1-1-111-1-1-1-11111-1-11-1-111111-1-111-1-111-1-1-1-1-1-111-11
χ141111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-11111111111-1-111-1-11111-1-1-1-111-1-1-1-11111-1-11-1
χ151111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-11-11111-1-11111-1-1-111111-1-11-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1111-111-1-111-1-1111-111-1-111-11-11
χ17222222-122-1-122-1222-1-1222-1-1-1-1-1-12-1-12222-1-1-1-122-1-1-1-122-1-1-1-1200222-1-1-1-122-1-1-1-1000022220000-1-1-1-1-1-12020-1-1-1-1-1-1000000-1-100000000
χ18222222-122-1-122-1222-1-1222-1-1-1-1-1-12-1-122-2-2-1-1-1-122-1-1-1-122-1-1-1-1-200222-1-1-1-1-2-211110000-2-2-2-200001111-1-120-20-1-111110000001100000000
χ19222222-122-1-122-1222-1-1222-1-1-1-1-1-12-1-1-2-222-1-1-1-122-1-1-1-122-1-1-1-1200-2-2-2111122-1-1-1-10000-2-2-2-20000111111-202011-1-1-1-10000001100000000
χ20222222-122-1-122-1222-1-1222-1-1-1-1-1-12-1-1-2-2-2-2-1-1-1-122-1-1-1-122-1-1-1-1-200-2-2-21111-2-21111000022220000-1-1-1-111-20-20111111000000-1-100000000
χ21222222-122-1-122-1222-1-1-222-1-1-1-1-1-12112222-1-1-1-1-2-21111-2-21111-200-222-1-11122-1-111000022-2-200001111-1-1-20-2011-1-111000000-1-100000000
χ22222222-122-1-122-1222-1-1-222-1-1-1-1-1-121122-2-2-1-1-1-1-2-21111-2-21111200-222-1-111-2-211-1-10000-2-2220000-1-1-1-1-1-1-20201111-1-10000001100000000
χ23222222-122-1-122-1222-1-1-222-1-1-1-1-1-1211-2-222-1-1-1-1-2-21111-2-21111-2002-2-211-1-122-1-1110000-2-2220000-1-1-1-11120-20-1-1-1-1110000001100000000
χ24222222-122-1-122-1222-1-1-222-1-1-1-1-1-1211-2-2-2-2-1-1-1-1-2-21111-2-211112002-2-211-1-1-2-211-1-1000022-2-200001111112020-1-111-1-1000000-1-100000000
χ2522222-12-12222-12-12-12-12-1-12-1-12-12-1222200-1-1-1-1-12-1-122-1-1-1-1-1-10222-1-12222000000-1-122000022000000-1-1-1-102-1-10000-1-1-1-1020000-1-1-1000
χ2622222-12-12222-12-12-12-12-1-12-1-12-12-1222200-1-1-1-1-12-1-122-1-1-1-1-1-10-2-22-1-1222200000011-2-20000-2-2000000-1-1-110-2-1-1000011110-20000111000
χ2722222-12-12222-12-12-12-12-1-12-1-12-12-122-2-200-1-1-1-1-12-1-122-1-1-1-1-1-1022-211-2-2-2-2000000-1-1220000-2-2000000111-102110000-1-1-1-10-20000111000
χ2822222-12-12222-12-12-12-12-1-12-1-12-12-122-2-200-1-1-1-1-12-1-122-1-1-1-1-1-10-2-2-211-2-2-2-200000011-2-200002200000011110-21100001111020000-1-1-1000
χ2922222-12-12222-12-12-12-1-2-1-12-1-12-12-1-2-22200-1-1-1-11-211-2-211111102-2-2-1-122-2-2000000-1-1-2-2000022000000-1-11102110000-1-1110-20000-1-11000
χ3022222-12-12222-12-12-12-1-2-1-12-1-12-12-1-2-22200-1-1-1-11-211-2-21111110-22-2-1-122-2-200000011220000-2-2000000-1-11-10-211000011-1-102000011-1000
χ3122222-12-12222-12-12-12-1-2-1-12-1-12-12-1-2-2-2-200-1-1-1-11-211-2-211111102-2211-2-222000000-1-1-2-20000-2-200000011-1102-1-10000-1-11102000011-1000
χ3222222-12-12222-12-12-12-1-2-1-12-1-12-12-1-2-2-2-200-1-1-1-11-211-2-21111110-22211-2-222000000112200002200000011-1-10-2-1-1000011-1-10-20000-1-11000
χ332222-1222-122-1222-1-1-122-1-1-122-12-1-1220022-1-1-1-12-122-1-1-1-1-1-1-1-12220000000-1-1222222-1-10000002200000002-1-100-1-1-1-1-1-1-1-12000-1-1000-100
χ342222-1222-122-1222-1-1-122-1-1-122-12-1-1220022-1-1-1-12-122-1-1-1-1-1-1-1-12-2-20000000-1-12222-2-211000000-2-20000000-2-1100-1-1-1-11111-200011000100
χ352222-1222-122-1222-1-1-122-1-1-122-12-1-12200-2-2-1-1-1-12-122-1-1-1-1-1-1-1-1-222000000011-2-2-2-222-1-1000000-2-2000000021-1001111-1-1-1-1-200011000100
χ362222-1222-122-1222-1-1-122-1-1-122-12-1-12200-2-2-1-1-1-12-122-1-1-1-1-1-1-1-1-2-2-2000000011-2-2-2-2-2-211000000220000000-21100111111112000-1-1000-100
χ372222-1222-122-1222-1-1-12-2-1-1-122-12-1-1-2-20022-1-1-1-1-21-2-211111111-22-20000000-1-122-2-22211000000-2-20000000-21-100-1-111-1-111200011000-100
χ382222-1222-122-1222-1-1-12-2-1-1-122-12-1-1-2-20022-1-1-1-1-21-2-211111111-2-220000000-1-122-2-2-2-2-1-100000022000000021100-1-11111-1-1-2000-1-1000100
χ392222-1222-122-1222-1-1-12-2-1-1-122-12-1-1-2-200-2-2-1-1-1-1-21-2-21111111122-2000000011-2-2222211000000220000000-2-1-10011-1-1-1-111-2000-1-1000100
χ402222-1222-122-1222-1-1-12-2-1-1-122-12-1-1-2-200-2-2-1-1-1-1-21-2-2111111112-22000000011-2-222-2-2-1-1000000-2-200000002-110011-1-111-1-1200011000-100
χ4122-2-2222222-2-2-2-2-2-222202-2-22-22-2-2-2002-22-222-2-200000000000000002-22-2002-22-20000002-200000000002-20000002-2000000002-200000000
χ4222-2-2222222-2-2-2-2-2-222202-2-22-22-2-2-2002-2-2222-2-200000000000000002-22-200-22-22000000-2200000000002-2000000-2200000000-2200000000
χ4322-2-2222222-2-2-2-2-2-222202-2-22-22-2-2-200-222-222-2-20000000000000000-22-22002-22-2000000-220000000000-220000002-200000000-2200000000
χ4422-2-2222222-2-2-2-2-2-222202-2-22-22-2-2-200-22-2222-2-20000000000000000-22-2200-22-220000002-20000000000-22000000-22000000002-200000000
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χ4622-2-222-122-11-2-21-2-22-1-102-21-11-111-23−32-2-22-1-111003−33−30033−3−300002-2-113−3-221-1−330000-22000000−3−333-1100003−31-1−330000001-100000000
χ4722-2-222-122-11-2-21-2-22-1-102-21-11-111-23−3-222-2-1-111003−33−30033−3−30000-221-1−332-2-113−30000-22000000−3−3331-10000−33-113−30000001-100000000
χ4822-2-222-122-11-2-21-2-22-1-102-21-11-111-23−3-22-22-1-111003−33−30033−3−30000-221-1−33-221-1−3300002-200000033−3−31-10000−331-1−33000000-1100000000
χ4922-2-222-122-11-2-21-2-22-1-102-21-11-111-2−332-22-2-1-11100−33−3300−3−33300002-2-11−332-2-11−3300002-2000000−3−333-110000−33-11−33000000-1100000000
χ5022-2-222-122-11-2-21-2-22-1-102-21-11-111-2−332-2-22-1-11100−33−3300−3−33300002-2-11−33-221-13−30000-2200000033−3−3-110000−331-13−30000001-100000000
χ5122-2-222-122-11-2-21-2-22-1-102-21-11-111-2−33-222-2-1-11100−33−3300−3−3330000-221-13−32-2-11−330000-2200000033−3−31-100003−3-11−330000001-100000000
χ5222-2-222-122-11-2-21-2-22-1-102-21-11-111-2−33-22-22-1-11100−33−3300−3−3330000-221-13−3-221-13−300002-2000000−3−3331-100003−31-13−3000000-1100000000
χ532-2-22222-2-2-2222-2-2-22220-222-2-2-22-2-20000002-22-200000000000000000000000000000000002i−2i2i−2i2-22i−2i2i−2i000000000000000000002-22i−2i0000
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χ934-4-4444-2-4-42-2442-4-44-2-20-44-2222-22-4000000-22-220000000000000000000000000000000000−4i4i00002i−2i2i−2i0000000000000000000000000000
χ944-4-444-242-4-444-2-42-4-24-202-2422-4-2-42000000-22-220000000000000000000000000000000000004i−4i0000000000000000000000000000−2i2i0000
χ954-4-444-242-4-444-2-42-4-24-202-2422-4-2-42000000-22-22000000000000000000000000000000000000−4i4i00000000000000000000000000002i−2i0000
χ964-4-44-244-42-44-24-4-42-2-2402-2-2-4-42422000000-22-22000000000000000000000000000000000000004-4000000000000000000000000-22000000
χ974-4-44-244-42-44-24-4-42-2-2402-2-2-4-42422000000-22-2200000000000000000000000000000000000000-440000000000000000000000002-2000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-40000-1-1-1-1-4-4222222-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ998888-4-4-4-4-4-4-4-4-4-4-4-4222-8222222222440000-1-1-1-144-2-2-2-2-2-21111000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-48-4-48-844-8442-4-402-24-44-444-200000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-4-4-4-444444422202-2-22-22-2-2-243−430000-1-11100−2323−23230033−3−3000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-4-4-4-444444422202-2-22-22-2-2-2−43430000-1-1110023−2323−2300−3−333000000000000000000000000000000000000000000000000000000000000
χ1038-88-88-4-44-844-84-4-48-4-420444-224-2-4-40000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-48-4-84444-8-48-4-42-4044-24-4-242-40000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-4444444-4-4-42220-2-2-2-22-2-222000000-111-10000006-6-33-33000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-4444444-4-4-42220-2-2-2-22-2-222000000-111-1000000-663-33-3000000000000000000000000000000000000000000000000000000000000
χ1078-8-888-4-44-84-48-444-8-4-4204-4-4-2-242440000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-48-4-844-4-484-84-42-404-4244-2-4-240000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-4844-88-4-4-8442-4-40-22-4444-44-20000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-4444-4-4-44442220-222-2-2-22-2-2000000-11-110000000033−33−3333000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-4444-4-4-44442220-222-2-2-22-2-2000000-11-1100000000−333333−33000000000000000000000000000000000000000000000000000000000000

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