Finite Group Databasebeta

← Group #13155838

Character table — Group #13155838

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222224444444444444444444444888888888888121212121212121212121212121212121212181824242424242424242424242424242424242436363636363636363672727272108108
order1222333446666666663336666666661212121212121212121236661212121212121212882424242424242424242424242424242444246666666612121212121212122224466121266121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-11-111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-11-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-111-1-1-1-1
χ51111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-11111
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χ874-4-44-24-24-422-42-2-424-21-2-2-1-12221-2-2224-42-1-1-2-2111-1-11-22-2211-1-1002i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i300000000000000000000000000000000000
χ884-4-44-24-2-4422-42-2-424-21-2-2-1-12221-2-22-2-44-21122-1-11-1-112-22-2-1-11100000023−2323−23−3−333−3−33300000000000000000000000000000000000
χ894-4-44-24-2-4422-42-2-424-21-2-2-1-12221-2-22-2-44-21122-1-11-1-112-22-2-1-111000000−2323−232333−3−333−3−300000000000000000000000000000000000
χ904-4-44-2-244-4222-442-4-2-2-2-21222-1-1-2-212-4-222224-2-2-21-1-111-1-2211-1-10000000000000000000000−2i32i300i3−i3i3−i300000000000000000000000
χ914-4-44-2-244-4222-442-4-2-2-2-21222-1-1-2-212-4-222224-2-2-21-1-111-1-2211-1-100000000000000000000002i3−2i300−i3i3−i3i300000000000000000000000
χ924-4-44-2-24-44222-442-4-2-2-2-21222-1-1-2-21242-2-2-2-2-42221-1-11-112-2-1-111000000000000000000000000003-3-3300000000000000000000000
χ934-4-44-2-24-44222-442-4-2-2-2-21222-1-1-2-21242-2-2-2-2-42221-1-11-112-2-1-11100000000000000000000000000-333-300000000000000000000000
χ948888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-422-4-422-1-1-1-12222-1-1-1-100000000000000000000000000000000000000000000000000000
χ958888-4-4-4-8-8-4-4-4-4-4-4-4-4-42222222222224444-2-244-2-2-1-1-1-1-2-2-2-2111100000000000000000000000000000000000000000000000000000
χ9688-8-88-4-4008-8-4-44444-8-42-4-442-444-24-2000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-4800-44-48-84-844-4-42-44-42-244-24000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-4-400-44-4-4444442222-222-2-2-2-2-200006i−6i006i−6i-1-1110000−3i3i−3i3i00000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4-400-44-4-4444442222-222-2-2-2-2-20000−6i6i00−6i6i-1-11100003i−3i3i−3i00000000000000000000000000000000000000000000000000000
χ1008-88-88-4-400-88444-4-44-8-42-44-4-24-44-24200000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-48004-44-8-8-4844-4-424-44-2244-2-400000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4-4004-4444-4-444222-22-2-22-2-2-2200006i−6i00−6i6i-11-1100003i−3i−3i3i00000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-4004-4444-4-444222-22-2-22-2-2-220000−6i6i006i−6i-11-110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-48-84444-444-4-4222-2-2-2-2-2222-24-444-2-2-4-422-111-12-22-2-1-11100000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4-884444-444-4-4222-2-2-2-2-2222-2-44-4-42244-2-2-111-1-22-2211-1-100000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.