Finite Group Databasebeta

← Group #13161951

Character table — Group #13161951

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222222444444444444444444444444448888888888888888888888888888888888888363636363636363636363636363636363636727272727272727272
order122233344666666666333336666666666666661212121212122666666666666666666666666661212121212121212121224668888121224242424242424242446612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-111-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-11-1-1-1-111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1111-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-11111-1-1
χ92222222-2-222222222222222222222222222222-2-2-2-2-2-2000000000000000000000000000-2-2-2-2-2-2-2-2-2-22-2220000-2-200000000000000000
χ102222222-2-222222222222222222222222222222-2-2-2-2-2-2000000000000000000000000000-2-2-2-2-2-2-2-2-2-2-22-2-200002200000000000000000
χ11222222-12222-1-12-12222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12-1222-122222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000220000-1-1-1-10000200-1-10000
χ12222222-12222-1-12-12222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12-1222-122222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-2000011110000-200110000
χ13222222-12222-1-12-12222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12-1222-1-2-2-2-2-211-2-2-2-2111111111111111122-1-1-1-1-1-1-1-10000220000-1-1-1-10000-200110000
χ14222222-12222-1-12-12222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12-1222-1-2-2-2-2-211-2-2-2-2111111111111111122-1-1-1-1-1-1-1-10000-2-2000011110000200-1-10000
χ1522222-12222-12222-12-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-122-1-122222-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-10000-1-10000000002000-1-100
χ1622222-12222-12222-12-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-122-1-122222-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-211000011000000000-20001100
χ1722222-12222-12222-12-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-122-1-122-2-2-211-2-21111-2-2-2-2111111111111-1-122-1-1-1-1-1-122-1-10000-1-1000000000-20001100
χ1822222-12222-12222-12-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-122-1-122-2-2-211-2-21111-2-2-2-2111111111111-1-122-1-1-1-1-1-1-2-2110000110000000002000-1-100
χ1922222-12-2-22-12222-12-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-2-211-2-2000−i3i300−i3−i3i3i30000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i311-2-21111112-2-1-10000110000000000000−i3i300
χ2022222-12-2-22-12222-12-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-2-211-2-2000−i3i300−i3−i3i3i30000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i311-2-2111111-22110000-1-10000000000000i3−i300
χ2122222-12-2-22-12222-12-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-2-211-2-2000i3−i300i3i3−i3−i30000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i311-2-21111112-2-1-10000110000000000000i3−i300
χ2222222-12-2-22-12222-12-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-2-211-2-2000i3−i300i3i3−i3−i30000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i311-2-2111111-22110000-1-10000000000000−i3i300
χ232222-12222-1222-122-12-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1222-122-1-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-100000022000000-1-1-1-10020000-1-1
χ242222-12222-1222-122-12-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1222-122-1-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1000000-2-2000000111100-2000011
χ252222-12222-1222-122-12-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1222-12-211-2-2-2-211111111-2-21111-2-21111-1-1-1-122-1-1-1-100000022000000-1-1-1-100-2000011
χ262222-12222-1222-122-12-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1222-12-211-2-2-2-211111111-2-21111-2-21111-1-1-1-122-1-1-1-1000000-2-200000011110020000-1-1
χ2722-2-22222-2-2-2-2-2222-2-222222-2-2-2-2-2-2-2-2-2-222222222-2-2-20000000000000000000000000002-22-22-222-2-20000002i−2i0000002i2i−2i−2i000000000
χ2822-2-22222-2-2-2-2-2222-2-222222-2-2-2-2-2-2-2-2-2-222222222-2-2-20000000000000000000000000002-22-22-222-2-2000000−2i2i000000−2i−2i2i2i000000000
χ2922-2-2222-22-2-2-2-2222-2-222222-2-2-2-2-2-2-2-2-2-222222-2-2-2222000000000000000000000000000-22-22-22-2-22200002-2000022-2-20000000000000
χ3022-2-2222-22-2-2-2-2222-2-222222-2-2-2-2-2-2-2-2-2-222222-2-2-2222000000000000000000000000000-22-22-22-2-2220000-220000-2-2220000000000000
χ3122-2-222-1-22-2-2112-12-2-22-1-1-1-1-2-2111111112-1-1-1-1-21-222-100000−i3i30000−i3−i3i3i3−i3i3−i3−i3i3i3−i3i3−i3−i3i3i3-221-11-111-1-100002-20000-1-1110000000−i3i30000
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χ3422-2-222-1-22-2-2112-12-2-22-1-1-1-1-2-2111111112-1-1-1-1-21-222-100000i3−i30000i3i3−i3−i3i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3-221-11-111-1-10000-22000011-1-10000000−i3i30000
χ3522-2-2-1222-21-2-2-2-1221-2-1-12-1-11111-2-21111-1-12-1-1-122-21-20−i3i30000−i3i3−i3i3−i3i3−i3i300−i3i3−i3i300−i3i3−i3i3-11-112-2-1-1110000002i−2i000000−i−iii00000003−3
χ3622-2-2-1222-21-2-2-2-1221-2-1-12-1-11111-2-21111-1-12-1-1-122-21-20−i3i30000−i3i3−i3i3−i3i3−i3i300−i3i3−i3i300−i3i3−i3i3-11-112-2-1-111000000−2i2i000000ii−i−i0000000−33
χ3722-2-2-1222-21-2-2-2-1221-2-1-12-1-11111-2-21111-1-12-1-1-122-21-20i3−i30000i3−i3i3−i3i3−i3i3−i300i3−i3i3−i300i3−i3i3−i3-11-112-2-1-1110000002i−2i000000−i−iii0000000−33
χ3822-2-2-1222-21-2-2-2-1221-2-1-12-1-11111-2-21111-1-12-1-1-122-21-20i3−i30000i3−i3i3−i3i3−i3i3−i300i3−i3i3−i300i3−i3i3−i3-11-112-2-1-111000000−2i2i000000ii−i−i00000003−3
χ39444444-2-4-444-2-24-24444-2-2-2-244-2-2-2-2-2-2-2-24-2-2-2-2-42-4-4-42000000000000000000000000000-4-422222222000000000000000000000000000
χ4044444-2-2444-2-2-24-2-24-2-2-2111-2-2-2-2111111-2-21114-2-2-24-2444-2-2-2-2-2-2-2-2-2-2-2-2111111111111-2-2-2-2111111000000000000000000000000000
χ4144444-2-2444-2-2-24-2-24-2-2-2111-2-2-2-2111111-2-21114-2-2-24-2-4-4-4222222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000
χ4244444-2-2-4-44-2-2-24-2-24-2-2-2111-2-2-2-2111111-2-2111-4222-42000−2i32i300−2i3−2i32i32i30000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i32222-1-1-1-1-1-1000000000000000000000000000
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χ444444-244-4-4-2444-244-24-2-24-2-2-2-2-2-244-2-2-2-2-2-24-2-22-4-4-42-40000000000000000000000000002222-4-42222000000000000000000000000000
χ454444-24-244-24-2-2-2-24-24-21-211-2-211-2-21111-21-211-2-244-2-24-2-244-2-2-2-2-2-21111-2-21111-2-21111-2-211-2-21111000000000000000000000000000
χ464444-24-244-24-2-2-2-24-24-21-211-2-211-2-21111-21-211-2-244-2-2-422-4-4222222-1-1-1-122-1-1-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000
χ474444-24-2-4-4-24-2-2-2-24-24-21-211-2-211-2-21111-21-21122-4-422000000000003-3-33003-3-33003-3-3322-1-122-1-1-1-1000000000000000000000000000
χ484444-24-2-4-4-24-2-2-2-24-24-21-211-2-211-2-21111-21-21122-4-42200000000000-333-300-333-300-333-322-1-122-1-1-1-1000000000000000000000000000
χ494444-2-2444-2-244-24-2-2-21-2-21111-2-2-2-211111-2-211-24-2-2-244-2-2-2-2441111-2-2-2-2-2-21111-2-2111111-2-2-2-21111000000000000000000000000000
χ504444-2-2444-2-244-24-2-2-21-2-21111-2-2-2-211111-2-211-24-2-2-24-42222-4-4-1-1-1-1222222-1-1-1-122-1-1-1-111-2-2-2-21111000000000000000000000000000
χ514444-2-24-4-4-2-244-24-2-2-21-2-21111-2-2-2-211111-2-2112-4222-4000−2i32i300i3i3−i3−i30000−2i3−2i3i3i3i3i32i32i3−i3−i3−i3−i3-1-12222-1-1-1-1000000000000000000000000000
χ524444-2-24-4-4-2-244-24-2-2-21-2-21111-2-2-2-211111-2-2112-4222-40002i3−2i300−i3−i3i3i300002i32i3−i3−i3−i3−i3−2i3−2i3i3i3i3i3-1-12222-1-1-1-1000000000000000000000000000
χ534444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-24-2-2-2-2-2-21111111111−1−3i32−1+3i32−1+3i32−1−3i3211−1+3i32−1−3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000
χ544444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-4222222-1-1-1-1-1-1-1-1-1-11+3i321−3i321−3i321+3i32-1-11−3i321+3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000
χ554444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-24-2-2-2-2-2-21111111111−1+3i32−1−3i32−1−3i32−1+3i3211−1−3i32−1+3i32−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000
χ564444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2-4222222-1-1-1-1-1-1-1-1-1-11−3i321+3i321+3i321−3i32-1-11+3i321−3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000
χ574444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i32222222000−2i32i300i3i3−i3−i33-3-33i3i3−3−i323−i323−i32−3−i32−i3−i3−3+i323+i323+i32−3+i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000
χ584444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i322222220002i3−2i300−i3−i3i3i3-333-3−i3−i33+i32−3+i32−3+i323+i32i3i33−i32−3−i32−3−i323−i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000
χ594444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i32222222000−2i32i300i3i3−i3−i3-333-3i3i33−i32−3−i32−3−i323−i32−i3−i33+i32−3+i32−3+i323+i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000
χ604444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i322222220002i3−2i300−i3−i3i3i33-3-33−i3−i3−3+i323+i323+i32−3+i32i3i3−3−i323−i323−i32−3−i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000
χ6144-4-444-24-4-4-4224-24-4-44-2-2-2-2-4-4222222224-2-2-2-24-24-4-420000000000000000000000000004-4-22-22-2-222000000000000000000000000000
χ6244-4-44-244-4-42-4-444-2-42-24-2-2-222-4-4222222-24-2-2-244-22-4-4000000000000000000000000000-224-4-22-2-222000000000000000000000000000
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χ6844-4-4-244-442-4-4-4-2442-4-2-24-2-22222-4-42222-2-24-2-22-4-44-240000000000000000000000000002-22-2-4422-2-2000000000000000000000000000
χ6944-4-4-24-24-42-422-2-242-4-21-21122-1-122-1-1-1-1-21-211-2-24-4220−2i32i30000−2i32i3−2i32i3i3−i3i3−i300i3−i3i3−i300i3−i3i3−i3-221-1-2211-1-1000000000000000000000000000
χ7044-4-4-24-24-42-422-2-242-4-21-21122-1-122-1-1-1-1-21-211-2-24-42202i3−2i300002i3−2i32i3−2i3−i3i3−i3i300−i3i3−i3i300−i3i3−i3i3-221-1-2211-1-1000000000000000000000000000
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χ7344-4-4-2-244-422-4-4-24-2221-2-211-1-12222-1-1-1-11-2-211-24-222-40−2i32i30000i3−i3i3−i3−2i32i3−2i32i300i3−i3i3−i300i3−i3i3−i31-1-22-2211-1-1000000000000000000000000000
χ7444-4-4-2-244-422-4-4-24-2221-2-211-1-12222-1-1-1-11-2-211-24-222-402i3−2i30000−i3i3−i3i32i3−2i32i3−2i300−i3i3−i3i300−i3i3−i3i31-1-22-2211-1-1000000000000000000000000000
χ7544-4-4-2-24-4422-4-4-24-2221-2-211-1-12222-1-1-1-11-2-2112-42-2-2400000003-3-330000003-33-300-33-33-112-22-2-1-111000000000000000000000000000
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χ854-44-4444004-44-4-4-4-4-44444444-44-44-44-44-4-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000
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χ894-44-44-2400424-4-4-42-4-2-24-2-2-2-224-4-22-22-222-42220000000000000000000000000000000000000000000002i3−2i300000000000000000000000
χ904-44-4-24400-2-44-42-4-424-2-24-2-2-22-224-4-22-2222-4220000000000000000000000000000000000000000000000000000000006−66−6000000000
χ914-44-4-24400-2-44-42-4-424-2-24-2-2-22-224-4-22-2222-422000000000000000000000000000000000000000000000000000000000−66−66000000000
χ924-4-4444400-44-44-4-4-44-444444-44-44-44-44-44-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000
χ934-4-4444-200-442-2-42-44-44-2-2-2-2-442-22-22-22-2-4222200000000000000000000000000000000000000000000000000000i6−i6−i6i60000000000000
χ944-4-4444-200-442-2-42-44-44-2-2-2-2-442-22-22-22-2-4222200000000000000000000000000000000000000000000000000000−i6i6i6−i60000000000000
χ954-4-444-2400-4-2-44-4-4242-24-2-2-22-2-442-22-22-22-422200000000000000000000000000000000000000000000000000023−2300000000000000000
χ964-4-444-2400-4-2-44-4-4242-24-2-2-22-2-442-22-22-22-4222000000000000000000000000000000000000000000000000000−232300000000000000000
χ974-4-44-2440024-442-4-4-2-4-2-24-2-22-22-2-442-22-222-422000000000000000000000000000000000000000000000000000000000i6−i6−i6i6000000000
χ984-4-44-2440024-442-4-4-2-4-2-24-2-22-22-2-442-22-222-422000000000000000000000000000000000000000000000000000000000−i6i6i6−i6000000000
χ998-88-88-4-40084-44-844-8-4-4-4222-44-442-22-22-244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000
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χ1018-88-8-4-4800-448-84-844-42-4-4222-2-44-442-22-2-244-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4-400-44-444444-4222−1−3i3−1+3i32-22-22-2−1−3i31+3i3−1+3i31−3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-400-44-444444-4222−1+3i3−1−3i32-22-22-2−1+3i31−3i3−1−3i31+3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-888-4-400-8-44-4-84484-4-42224-44-4-22-22-2244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1058-8-88-48-400484-444-8-4-8-42-4224-4-224-4-22-224-24-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-48004-4-884-84-442-4-422-224-44-4-22-22-244-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-4004-44-4444-44222−1−3i3−1+3i3-22-22-221+3i3−1−3i31−3i3−1+3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-4004-44-4444-44222−1+3i3−1−3i3-22-22-221−3i3−1+3i31+3i3−1−3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000

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