Finite Group Databasebeta

← Group #13155842

Character table — Group #13155842

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
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order1222333446666666663336666666661212121212121212121222666636661212121212121212224666666666612121212121212124666666121212121212121222666688242424244121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1111-1-1-1-11111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-111
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
χ92222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-200-22200002222-2-2-2-2-2-2-2-200000000000000000000000000000000
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χ12222222-122222-1-1-12222-1-122-1-1-1-1-1-12-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-22221111-1-1-1-1-1-122-1-1-1-10-2-2111100000000-2-2111100000000000
χ13222222-122222-1-1-12222-1-122-1-1-1-1-1-12-1-1222-1-1-1-12-2-21111-1-1-1-1-1-122-1-1-1-122-2-2-2-1-1-1-1111111-2-21111022-1-1-1-100000000-2-2111100000000000
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χ864-44-4-2-244-4222-4-44-2-221-2-2-1-12222-2-214-42-22-2-222-20000001-1-11-221-111-1-100000000000000000000000000002i3−2i300−i3i3−i3i300000000000000000
χ874-44-4-2-24-44222-4-44-2-221-2-2-1-12222-2-21-44-22-222-2-220000001-1-112-2-11-1-111000000000000000000000000000000003-3-3300000000000000000
χ884-44-4-2-24-44222-4-44-2-221-2-2-1-12222-2-21-44-22-222-2-220000001-1-112-2-11-1-11100000000000000000000000000000000-333-300000000000000000
χ894-4-4444400-4-44-44-4-4-44444-44-44-44-4-4-400000000000000004-44-40000000000000000000000000000000000000000000000000000000000000
χ904-4-4444-200-4-442-22-4-444-2-2-442-22-222-4000000000000−2i32i32i3−2i3-22-2200000000000000000−2i32i32i3−2i30000000000000000000000000000000000000000
χ914-4-4444-200-4-442-22-4-444-2-2-442-22-222-40000000000002i3−2i3−2i32i3-22-22000000000000000002i3−2i3−2i32i30000000000000000000000000000000000000000
χ924-4-444-2400-42-2-44-42-44-24-22-2-442-22-420000000000000000-22-2200000000000000000000000000000000000000000000000000006−6−6600000
χ934-4-444-2400-42-2-44-42-44-24-22-2-442-22-420000000000000000-22-220000000000000000000000000000000000000000000000000000−666−600000
χ944-4-44-244002-44-44-4-42-2-2-242-22-2-44-4220000000000000000-22-220000000000000000000000023−2323−23−232300000000000000000000000000000000
χ954-4-44-244002-44-44-4-42-2-2-242-22-2-44-4220000000000000000-22-2200000000000000000000000−2323−232323−2300000000000000000000000000000000
χ964-4-44-24-2002-442-22-42-2-21-22-2-112-22-12000003i−3i−3i3i000−2i32i32i3−2i31-11-100003i−3i−3i3i000000000i3−i3−i3i300−23233−3−3300000000000000000000000000000000
χ974-4-44-24-2002-442-22-42-2-21-22-2-112-22-12000003i−3i−3i3i0002i3−2i3−2i32i31-11-100003i−3i−3i3i000000000−i3i3i3−i30023−23−333−300000000000000000000000000000000
χ984-4-44-24-2002-442-22-42-2-21-22-2-112-22-1200000−3i3i3i−3i000−2i32i32i3−2i31-11-10000−3i3i3i−3i000000000i3−i3−i3i30023−23−333−300000000000000000000000000000000
χ994-4-44-24-2002-442-22-42-2-21-22-2-112-22-1200000−3i3i3i−3i0002i3−2i3−2i32i31-11-10000−3i3i3i−3i000000000−i3i3i3−i300−23233−3−3300000000000000000000000000000000
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
χ10288-8-88-4-4008-44-4444-8-8-4-42-44-442-2-244000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4800-4-448-8-84442-4-42-2-44-4444-2000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4-400-4-44-4444442222-22-22-2-2-2-2000006i−6i6i−6i0000000-1-1110000−3i3i−3i3i00000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-400-4-44-4444442222-22-22-2-2-2-200000−6i6i−6i6i0000000-1-11100003i−3i3i−3i00000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-48-844444-4-4-44222-2-2-2-2-2-2222-444-4422-2-2-4000000-111-12-22-2-1-11100000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-4-8844444-4-4-44222-2-2-2-2-2-22224-4-44-4-2-2224000000-111-1-22-2211-1-100000000000000000000000000000000000000000000000000000
χ1088-8-888-4-400-84-44-444-88-4-424-44-4-22-24400000000000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-480044-4-88-844-42-4-4-224-44-444-200000000000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-40044-44-4444-4222-22-22-22-2-2-2000006i−6i−6i6i0000000-11-110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-40044-44-4444-4222-22-22-22-2-2-200000−6i6i6i−6i0000000-11-1100003i−3i−3i3i00000000000000000000000000000000000000000000000000000

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