Finite Group Databasebeta

← Group #13168634

Character table — Group #13168634

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222222244444444444444444488888888888888999912121212121212121212121212121818181818181818181818181818242424242424242424242424242424242424242436363636363636363636108108
order1222333446666666663336666666661212121212123666121212121212121212124444224444666612121212224444444412121212666666121212121212121212121212121266121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-111111111-1-111-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-1-1-111
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ511111111111111111111111111111111111111111111111111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-111
χ91111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11-11-111-1-111-1-111-1-111-1-1-1-111111-111-1-11-11-11-111-1-111-1-111-1-1-1-111-1-11-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11-1-1111-1-111-1-1-1-1-1-1-1-1111111111-111-1-1-111-1-1111-1-1-1-111-1-1-1-111-1-111-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-111-1-1-111-1-111-1-1-1-1-1-111111111-11-1-1111-1-111-1-1-11111-1-1-1-1-1-111-1-1111-1
χ121111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-11-11-1-111-1-11111-1-111-1-1-1-11111-11-1-111-11-11-11-1-111-1-11111-1-1-1-111-1-1-11
χ131111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-111-1-1-1-1111111-1-111-1-1-1-1-1-11-111-1-11-1-111-1-1-11111-1-11111-1-1-1-111-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1111-1-1-1-111-1-11111-1-111-1-1-1-11-111-1-1-11-11-11-1-111-1-111-1-1111111-1-11-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-11111-1-1-1-11111-1-111-1-1-1-1-11-1-1111-11-11-111-1-111-1-1-1-1111111-1-1-11
χ161111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-11111-1-111-1-1-1-1-1-1-11-1-111-111-1-1111-1-1-1-1111111-1-1-1-1111-1
χ17222222-122-122-12-12222-1-12-1-1-12-1-12-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-100002200222222000022000000220000-1-1-1-1-1-1-1-100220000-1-1-1-1-1-100-1-1000000
χ18222222-122-122-12-12222-1-12-1-1-12-1-12-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-100002200-2-222220000-2-2000000-2-20000-1-1-1-1-1-11100-2-200001111110011000000
χ19222222-122-122-12-12222-1-12-1-1-12-1-12-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-20022-2-2-2-20000-2-2000000-2-20000111111-1-100220000-1-1-1-1110011000000
χ20222222-122-122-12-12222-1-12-1-1-12-1-12-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-200-2-2-2-2-2-20000220000002200001111111100-2-200001111-1-100-1-1000000
χ21222222-1-2-2-122-12-12222-1-12-1-1-12-1-12-1-2-2-2-211-1-1-1-1-2-21111111100002-2002-222-2-2000022000000-2-20000-11-1-111-11002-20000-1-111-1-10011000000
χ22222222-1-2-2-122-12-12222-1-12-1-1-12-1-12-1-2-2-2-211-1-1-1-1-2-21111111100002-200-2222-2-20000-2-2000000220000-11-1-1111-100-22000011-1-11100-1-1000000
χ23222222-1-2-2-122-12-12222-1-12-1-1-12-1-12-1-2-2-2-211-1-1-1-1-2-2111111110000-22002-2-2-2220000-2-20000002200001-111-1-1-11002-20000-1-1111100-1-1000000
χ24222222-1-2-2-122-12-12222-1-12-1-1-12-1-12-1-2-2-2-211-1-1-1-1-2-2111111110000-2200-22-2-222000022000000-2-200001-111-1-11-100-22000011-1-1-1-10011000000
χ2522222-122222-12-1222-1-12-1-12-1-1-12-1-1222-1-122-1-1-1-1-1-122-1-1-1-1-1-12222222200-1-1-1-1-1-1-1-10022000000-1-1-1-122-1-1-1-1002200-1-1-1-1000000-1-100000000
χ2622222-122222-12-1222-1-12-1-12-1-1-12-1-1222-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-2-2-2-200111111110022000000-1-1-1-1-2-2111100-2-2001111000000-1-100000000
χ2722222-122222-12-1222-1-12-1-12-1-1-12-1-1222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-222-2-200-1-1-1-1111100-2-2000000111122-1-1-1-100-2-20011110000001100000000
χ2822222-122222-12-1222-1-12-1-12-1-1-12-1-1222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-222001111-1-1-1-100-2-20000001111-2-21111002200-1-1-1-10000001100000000
χ2922222-12-2-222-12-1222-1-12-1-12-1-1-12-1-12-2-211-2-2-1-1-1-111-2-211111122222-22-200-1-111-1-11100-2-2000000-1-1-1-12-2-1-111002-200-1-1110000001100000000
χ3022222-12-2-222-12-1222-1-12-1-12-1-1-12-1-12-2-211-2-2-1-1-1-111-2-21111112222-22-220011-1-111-1-100-2-2000000-1-1-1-1-2211-1-100-220011-1-10000001100000000
χ3122222-12-2-222-12-1222-1-12-1-12-1-1-12-1-12-2-211-2-2-1-1-1-111-2-2111111-2-2-2-22-2-2200-1-11111-1-1002200000011112-2-1-11100-220011-1-1000000-1-100000000
χ3222222-12-2-222-12-1222-1-12-1-12-1-1-12-1-12-2-211-2-2-1-1-1-111-2-2111111-2-2-2-2-222-20011-1-1-1-11100220000001111-2211-1-1002-200-1-111000000-1-100000000
χ332222-122222-12222-1-12-1-12-1-122-1-12-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-10000002222000022220000222200000000000022-1-1-1-1-1-1-1-1-1-1-1-1000000-1-1-1-100
χ342222-122222-12222-1-12-1-12-1-122-1-12-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-100000022-2-2000022220000-2-2-2-2000000000000-2-2-1-111-1-1-1-11111000000111100
χ352222-122222-12222-1-12-1-12-1-122-1-12-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1000000-2-2220000-2-2-2-20000-2-2-2-20000000000002211-1-11111-1-1-1-1000000111100
χ362222-122222-12222-1-12-1-12-1-122-1-12-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1000000-2-2-2-20000-2-2-2-200002222000000000000-2-2111111111111000000-1-1-1-100
χ372222-122-2-22-12222-1-12-1-12-1-122-1-12-1-111-2-2-2-2-1-1-1-11111-2-211110000002-22-2000022-2-2000022-2-20000000000002-2-11-11-1-111-1-111000000-1-11100
χ382222-122-2-22-12222-1-12-1-12-1-122-1-12-1-111-2-2-2-2-1-1-1-11111-2-211110000002-2-22000022-2-20000-2-222000000000000-22-111-1-1-11111-1-100000011-1-100
χ392222-122-2-22-12222-1-12-1-12-1-122-1-12-1-111-2-2-2-2-1-1-1-11111-2-21111000000-222-20000-2-2220000-2-2220000000000002-21-1-1111-1-1-1-11100000011-1-100
χ402222-122-2-22-12222-1-12-1-12-1-122-1-12-1-111-2-2-2-2-1-1-1-11111-2-21111000000-22-220000-2-222000022-2-2000000000000-221-11-111-1-111-1-1000000-1-11100
χ4122-2-2222002-2-2-2-2-22-22222-222-2-2-2-22-200000022-2-2000000000022-2-2000000000000000000002i−2i2i−2i22-2-20000000000000000000000002i−2i002i−2i00
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χ522-2-22222-22-222-2-22-2-2-2222-2-2-2-2222-2-2-22-22-222-2-22-22-22-22-2-222−2i2i2i−2i00000000000000002i−2i000000−2i2i2i−2i00000000000000000000002i−2i00000000
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χ894-4-444-2-2-4424-222-2-4-42-2-2122-1-1-2-2122-442-22-21-1-112-22-2-11-1-1110000000000−2i32i32i3−2i300000000000000000000i3−i3−i3i300000000000000000000000000
χ904-4-444-2-2-4424-222-2-4-42-2-2122-1-1-2-2122-442-22-21-1-112-22-2-11-1-11100000000002i3−2i3−2i32i300000000000000000000−i3i3i3−i300000000000000000000000000
χ914-4-44-2444-4-4-24-4-4422-4-2-2422-4-4-2-2422-224-44-4-222-2-22-224-4-2-2220000000000000000000000000000000000000000000000000000000000000000
χ924-4-44-244-44-4-24-4-4422-4-2-2422-4-4-2-24222-2-44-44-222-22-22-2-4422-2-20000000000000000000000000000000000000000000000000000000000000000
χ934-4-44-24-24-42-242-4-222-4-21-22-122-21-22-1-224-4-221-1-11-221-1-2211-1-10000000000000000000000000000000000000000000000003i−3i3i−3i000000000000
χ944-4-44-24-24-42-242-4-222-4-21-22-122-21-22-1-224-4-221-1-11-221-1-2211-1-1000000000000000000000000000000000000000000000000−3i3i−3i3i000000000000
χ954-4-44-24-2-442-242-4-222-4-21-22-122-21-22-12-2-442-21-1-112-2-112-2-1-1110000000000000000000000000000000000000000000000003i−3i−3i3i000000000000
χ964-4-44-24-2-442-242-4-222-4-21-22-122-21-22-12-2-442-21-1-112-2-112-2-1-111000000000000000000000000000000000000000000000000−3i3i3i−3i000000000000
χ974-4-44-2-244-4-4-2-2-4242221-2-2-12221-2-2-12-22-224-41-1-111-1-22-2211-1-10000000000000023−2323−2300000000000000000000000000−33−330000000000000000
χ984-4-44-2-244-4-4-2-2-4242221-2-2-12221-2-2-12-22-224-41-1-111-1-22-2211-1-100000000000000−2323−2323000000000000000000000000003−33−30000000000000000
χ994-4-44-2-24-44-4-2-2-4242221-2-2-12221-2-2-122-22-2-441-1-11-112-22-2-1-1110000000000000023−23−232300000000000000000000000000−333−30000000000000000
χ1004-4-44-2-24-44-4-2-2-4242221-2-2-12221-2-2-122-22-2-441-1-11-112-22-2-1-11100000000000000−232323−23000000000000000000000000003−3−330000000000000000
χ1018888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-4-1-1-1-1222222-1-1-1-10000000000000000000000000000000000000000000000000000000000000000
χ1028888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444444-1-1-1-1-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000000000000
χ10388-8-88-4-400-4-844448-8-4-4-424-42-244-2-4400000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-48-400-44-84-84-448-42-442-444-24-4-200000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4800844-84-8-44-42-4-4-2-4-44-2442400000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-400-444444-44-4222-222-2-2-2-22-2000000-1-11100000033−3333−330000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-400-444444-44-4222-222-2-2-2-22-2000000-1-111000000−3333−33330000000000000000000000000000000000000000000000000000000000000000
χ1088-88-88-4-4004-84-4-44-884-4-42-44-2244-24-40000002-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-48-40044-8-4844-4-8-42-4-4-24-44-24420000002-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4800-8448-4-84-442-4-4244-4-244-2-40000002-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-400444-4-444-442222-2-22-2-2-2-22000000-11-1100000033−33−33330000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4-400444-4-444-442222-2-22-2-2-2-22000000-11-11000000−333333−330000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-48-84-4-444-4444222-2-2-2-2222-2-2-44-44-44-111-12-22-22-2-1-1110000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4-884-4-444-4444222-2-2-2-2222-2-24-44-44-4-111-1-22-22-2211-1-10000000000000000000000000000000000000000000000000000000000000000

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