Finite Group Databasebeta

← Group #13155799

Character table — Group #13155799

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
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order1222333446666666663336666666661212121212121212121222666636661212121212121212444666666121212121212121212121212412121212121212121212121212124488121212122424242426688
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111-1-111-1-1-1-11111-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1
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χ894-4-444-2-2-44-4222-2-424-2-2-21222-1-1-212-22-242-2-1-111-400−2i32i3−2i32i31-1-112-22-2-1-11100000i3−i3i3−i3002i3−2i30000−i3−i3i3i300000000000000000000000000000000
χ904-4-444-2-2-44-4222-2-424-2-2-21222-1-1-212-22-242-2-1-111-4002i3−2i32i3−2i31-1-112-22-2-1-11100000−i3i3−i3i300−2i32i30000i3i3−i3−i300000000000000000000000000000000
χ914-4-44-2444-42-4-4-442-4-24-2-24222-4-4-242-24-424-444-4-4-2000000-222-2-22-22-2-22200000000000000000000000000000000000000000000000000000
χ924-4-44-24-24-42-4-42-222-24-21-222-1221-2-1-2-2224-4-2-222-20000001-1-111-1-2211-1-100000000000000000000000000003i−3i−3i3i000000000000000000000
χ934-4-44-24-24-42-4-42-222-24-21-222-1221-2-1-2-2224-4-2-222-20000001-1-111-1-2211-1-10000000000000000000000000000−3i3i3i−3i000000000000000000000
χ944-4-44-24-2-442-4-42-222-24-21-222-1221-2-1-22-2-2-4422-2-220000001-1-11-112-2-1-111000000000000000000000023−230000−33−33000000000000000000000
χ954-4-44-24-2-442-4-42-222-24-21-222-1221-2-1-22-2-2-4422-2-220000001-1-11-112-2-1-1110000000000000000000000−232300003−33−3000000000000000000000
χ964-4-44-2-244-4222-442-4-2-21-2-2-1-1222-2-2214-42-22-2-222-20000001-1-11-221-111-1-10000000000000−2i32i32i3−2i3000000000000000i3−i3−i3i300000000000000000
χ974-4-44-2-244-4222-442-4-2-21-2-2-1-1222-2-2214-42-22-2-222-20000001-1-11-221-111-1-100000000000002i3−2i3−2i32i3000000000000000−i3i3i3−i300000000000000000
χ984-4-44-2-24-44222-442-4-2-21-2-2-1-1222-2-221-44-22-222-2-220000001-1-112-2-11-1-11104-40000000000-22-22000000000-2200001-11-100000000000000000
χ994-4-44-2-24-44222-442-4-2-21-2-2-1-1222-2-221-44-22-222-2-220000001-1-112-2-11-1-1110-4400000000002-22-20000000002-20000-11-1100000000000000000
χ1008888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-42222-4000000-1-1-1-12222-1-1-1-100000000000000000000000000000000000000000000000000000
χ1018888-4-4-4-8-8-4-4-4-4-4-4-4-4-422222222222244444-2-2-2-24000000-1-1-1-1-2-2-2-2111100000000000000000000000000000000000000000000000000000
χ10288-8-8-48-400-4-88-44444-8-42-44-424-4-24-2400000000000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4800-44-48-84-8442-4-4-22-44-4444-200000000000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4-400-44-4-444444222-222-22-2-2-2-2000006i−6i6i−6i0000000-11-110000−3i3i−3i3i00000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-400-44-4-444444222-222-22-2-2-2-200000−6i6i−6i6i0000000-11-1100003i−3i3i−3i00000000000000000000000000000000000000000000000000000
χ1068-88-8-48-40048-844-4-44-8-42-4-44-2-44-2424000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-48004-44-8-8-48442-4-42-24-4444-4-2000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-4-4004-4444-4-4442222-2-22-2-2-22-2000006i−6i−6i6i0000000-1-1110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4-4004-4444-4-4442222-2-22-2-2-22-200000−6i6i6i−6i0000000-1-11100003i−3i−3i3i00000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-48-84444-444-4-4222-2-2-2-2-222-22-444-4422-2-2-4000000-111-12-22-2-1-11100000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-4-884444-444-4-4222-2-2-2-2-222-224-4-44-4-2-2224000000-111-1-22-2211-1-100000000000000000000000000000000000000000000000000000

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