Finite Group Databasebeta

← Group #13155798

Character table — Group #13155798

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
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order1222333446666666663336666666661212121212121212121222666636661212121212121212444666666121212121212121212121212266666666121212121212448812121212242424244121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1
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
χ61111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-111
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
χ92222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-200222222-2-2-2-20000-2-2-2-200000000000000000000000000000000
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χ14222222-1222222-1-12-122-1-122-1-1-1-1-1-12-1-1222-1-1-1-12-2-2-2-2-2-2-1-1-1-1-1-122-1-1-1-1-20011111111-2-200001111-2-2-21111110000000000000000002-1-100
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χ894-4-444-2-24-4-4-4222-2-224-2-212222-1-11-2-2-2224-4-2-222-20000001-1-111-1-2211-1-100000000000000000000002i3−2i300−i3i3−i3i300000000000000000000000
χ904-4-444-2-2-44-4-4222-2-224-2-212222-1-11-2-22-2-2-4422-2-220000001-1-11-112-2-1-111000000000000000000000000003-3-3300000000000000000000000
χ914-4-444-2-2-44-4-4222-2-224-2-212222-1-11-2-22-2-2-4422-2-220000001-1-11-112-2-1-11100000000000000000000000000-333-300000000000000000000000
χ924-4-44-24-24-422-4-42-242-2-21-222-1-122-21-2-22-4-2211-1-1400−2i32i3−2i32i31-1-11-22-2211-1-100000i3−i3i3−i300−2i32i30000i3i3−i3−i300000000000000000000000000000000
χ934-4-44-24-24-422-4-42-242-2-21-222-1-122-21-2-22-4-2211-1-14002i3−2i32i3−2i31-1-11-22-2211-1-100000−i3i3−i3i3002i3−2i30000−i3−i3i3i300000000000000000000000000000000
χ944-4-44-24-2-4422-4-42-242-2-21-222-1-122-21-22-242-2-1-111-400−2i32i3−2i32i31-1-112-22-2-1-11100000i3−i3i3−i3002i3−2i30000−i3−i3i3i300000000000000000000000000000000
χ954-4-44-24-2-4422-4-42-242-2-21-222-1-122-21-22-242-2-1-111-4002i3−2i32i3−2i31-1-112-22-2-1-11100000−i3i3−i3i300−2i32i30000i3i3−i3−i300000000000000000000000000000000
χ964-4-44-2-244-42222-44-2-4-21-2-2-1-12222-2-214-42-22-2-222-20000001-1-11-221-111-1-104-40000000000-22-220000000000000-221-11-100000000000000000
χ974-4-44-2-244-42222-44-2-4-21-2-2-1-12222-2-214-42-22-2-222-20000001-1-11-221-111-1-10-4400000000002-22-200000000000002-2-11-1100000000000000000
χ984-4-44-2-24-442222-44-2-4-21-2-2-1-12222-2-21-44-22-222-2-220000001-1-112-2-11-1-1110000000000000−2i32i32i3−2i3000000000000000i3−i3−i3i300000000000000000
χ994-4-44-2-24-442222-44-2-4-21-2-2-1-12222-2-21-44-22-222-2-220000001-1-112-2-11-1-11100000000000002i3−2i3−2i32i3000000000000000−i3i3i3−i300000000000000000
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
χ10288-8-88-4-400-884-4-4444-8-4-424-44-4-22-24400000000000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-48004-44-48-84-842-4-4-224-44-444-200000000000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4-4004-44-4-44444222-22-22-22-2-2-2000006i−6i6i−6i0000000-11-110000−3i3i−3i3i00000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-4004-44-4-44444222-22-22-22-2-2-200000−6i6i−6i6i0000000-11-1100003i−3i3i−3i00000000000000000000000000000000000000000000000000000
χ1068-88-88-4-4008-8-44444-4-8-4-42-44-442-2-244000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4800-44-44-8-84842-4-42-2-44-4444-2000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-4-400-44-44444-442222-22-22-2-2-2-2000006i−6i−6i6i0000000-1-1110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4-400-44-44444-442222-22-22-2-2-2-200000−6i6i6i−6i0000000-1-11100003i−3i−3i3i00000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-48-844444-4-44-4222-2-2-2-2-2-2222-444-4422-2-2-4000000-111-12-22-2-1-11100000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-4-8844444-4-44-4222-2-2-2-2-2-22224-4-44-4-2-2224000000-111-1-22-2211-1-100000000000000000000000000000000000000000000000000000

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