Finite Group Databasebeta

← Group #13178279

Character table — Group #13178279

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size111122222222222244444444444444444444444444444888888888888888888888888888888888888363636363636363636363636363636363636363636363636727272727272
order12223336666666662333334466666666666666666121212126666666666661212121212121212121212121212121212121212121212122444444444446612121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-1-111-1-1-1-111-1-1-1-111-1-1-1-11-1-1-11-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-11-1-111-1-11-1-1-1-1-11111-1-1-1-1-1-1-11-11-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-11-1-11
χ51111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-1-111-111-1-111-1-11111-11-1-11-1
χ61111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-11-1-111111-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-11-1-1-1-11111-1-1-1-1111-1-11
χ81111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-111-1-11111111-1-11-1-1
χ91111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111-11-11-1-1-11-1111-1-1-1-1-1-111-1-111-11-11
χ101111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11-1111-1-1-11-11-1111111-1-1-1-1111-11-1-1-1
χ111111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-11-1-1-1-1-1-1-111-1-111-11111-1
χ121111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-11-1-111111111-1-1-1-1-1-111
χ131111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1111-1-11111-1-11111-1-1-111-1-1-1
χ141111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111-1-1-111-11-1-11111-1-11111-1-111-1-1-11-11
χ151111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-11-11-1-11-11-111-1-111-1-1-1-1-1-11111-1-111
χ161111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-111111-1-11-1-1-1-1-1-111-1-111-1-11-1111-1
χ17222222-12-1-12222-1222-1-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-122-1-12-122-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1200200220000-1-10000-1-10000-1000-10
χ18222222-12-1-12222-1222-1-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-122-1-12-122-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-200-200-2-20000110000110000100010
χ19222222-12-1-12222-1222-1-1-1-1-2-2222-1-1-1-122-1-1-1-1-1-1-1-1-2-2112-122-1-1-1-1-1-1-1-11-2-2-2-2-211111111-2-211111111200-2002-20000-1-100001100001000-10
χ20222222-12-1-12222-1222-1-1-1-1-2-2222-1-1-1-122-1-1-1-1-1-1-1-1-2-2112-122-1-1-1-1-1-1-1-11-2-2-2-2-211111111-2-211111111-200200-220000110000-1-10000-100010
χ21222222-12-1-12222-12-22-1-1-1-12-2-2-22-1-1-1-122-1-1-1-1-1-1-1-12211-21-2-211111111-12-2-222-1-1-1-1-1-1-1-1-2-211111111200200-2-20000-1-10000110000-100010
χ22222222-12-1-12222-12-22-1-1-1-12-2-2-22-1-1-1-122-1-1-1-1-1-1-1-12211-21-2-211111111-12-2-222-1-1-1-1-1-1-1-1-2-211111111-200-200220000110000-1-100001000-10
χ23222222-12-1-12222-12-22-1-1-1-1-22-2-22-1-1-1-122-1-1-1-1-1-1-1-1-2-2-1-1-21-2-2111111111-222-2-21111111122-1-1-1-1-1-1-1-1200-200-220000-1-10000-1-10000100010
χ24222222-12-1-12222-12-22-1-1-1-1-22-2-22-1-1-1-122-1-1-1-1-1-1-1-1-2-2-1-1-21-2-2111111111-222-2-21111111122-1-1-1-1-1-1-1-1-2002002-20000110000110000-1000-10
χ2522222-122222-1-1-1222-12-1-1-12222-12-1-1-1-1-122-1-1-1-1-1-1-1-122-12-1-122-1-1-1-1-1-122-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-102002200200000-1-1-1-10000000-10-100
χ2622222-122222-1-1-1222-12-1-1-12222-12-1-1-1-1-122-1-1-1-1-1-1-1-122-12-1-122-1-1-1-1-1-122-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10-200-2-200-2000001111000000010100
χ2722222-122222-1-1-1222-12-1-1-1-2-222-12-1-1-1-1-122-1-1-1-1-1-111-2-2-12-1-122-1-1-1-1-1-1-2-21-211-2-211111111-2-211111102002-200-20000011-1-10000000-10100
χ2822222-122222-1-1-1222-12-1-1-1-2-222-12-1-1-1-1-122-1-1-1-1-1-111-2-2-12-1-122-1-1-1-1-1-1-2-21-211-2-211111111-2-21111110-200-2200200000-1-111000000010-100
χ2922222-122222-1-1-122-2-12-1-1-12-2-2-2-12-1-1-1-1-122-1-1-1-1-1-1-1-1-2-21-211-2-2111111221-2-1-122-1-1-1-1-1-111-2-21111110200-2200-20000011110000000-10-100
χ3022222-122222-1-1-122-2-12-1-1-12-2-2-2-12-1-1-1-1-122-1-1-1-1-1-1-1-1-2-21-211-2-2111111221-2-1-122-1-1-1-1-1-111-2-21111110-2002-200200000-1-1-1-1000000010100
χ3122222-122222-1-1-122-2-12-1-1-1-22-2-2-12-1-1-1-1-122-1-1-1-1-1-111221-211-2-2111111-2-2-1211-2-2111111-1-122-1-1-1-1-1-10200-2-200200000-1-1110000000-10100
χ3222222-122222-1-1-122-2-12-1-1-1-22-2-2-12-1-1-1-1-122-1-1-1-1-1-111221-211-2-2111111-2-2-1211-2-2111111-1-122-1-1-1-1-1-10-2002200-20000011-1-1000000010-100
χ332222-122-122-12222-12-1-12-1-122-1-1-1-12-1-1-1-1-1-122-1-1-1-1222222-1-1-1-122-1-1-1-12-12-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-100200000022200000000-1-1-1-100-100-1
χ342222-122-122-12222-12-1-12-1-122-1-1-1-12-1-1-1-1-1-122-1-1-1-1222222-1-1-1-122-1-1-1-12-12-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-100-2000000-2-2-2000000001111001001
χ352222-122-122-12222-12-1-12-1-1-2-2-1-1-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-222-1-1-1-122-1-1-1-1-21-211111-2-211111111-2-21111002000000-2-2200000000111100-100-1
χ362222-122-122-12222-12-1-12-1-1-2-2-1-1-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-222-1-1-1-122-1-1-1-1-21-211111-2-211111111-2-2111100-200000022-200000000-1-1-1-1001001
χ372222-122-122-12222-1-2-1-12-1-12-211-1-12-1-1-1-1-1-122-1-1-1-122-2-2-2-21111-2-211112-1-21-1-1-1-122-1-1-1-11111-2-21111002000000-22-20000000011-1-100-1001
χ382222-122-122-12222-1-2-1-12-1-12-211-1-12-1-1-1-1-1-122-1-1-1-122-2-2-2-21111-2-211112-1-21-1-1-1-122-1-1-1-11111-2-2111100-20000002-2200000000-1-11100100-1
χ392222-122-122-12222-1-2-1-12-1-1-2211-1-12-1-1-1-1-1-122-1-1-1-1-2-222-2-21111-2-21111-212-11111-2-21111-1-1-1-122-1-1-1-10020000002-2-200000000-1-11100-1001
χ402222-122-122-12222-1-2-1-12-1-1-2211-1-12-1-1-1-1-1-122-1-1-1-1-2-222-2-21111-2-21111-212-11111-2-21111-1-1-1-122-1-1-1-100-2000000-2220000000011-1-100100-1
χ4144444-2-24-2-24-2-2-2-244-2-21114444-2-2111-2-2-2-2111111-2-2-2-2-2-2-2-2-2-2111111-24-24-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000
χ4244444-2-24-2-24-2-2-2-244-2-2111-4-444-2-2111-2-2-2-21111112222-2-2-2-2-2-21111112-42-42222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000
χ4344444-2-24-2-24-2-2-2-24-4-2-21114-4-4-4-2-2111-2-2-2-2111111-2-222222222-1-1-1-1-1-1-242-4-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000
χ4444444-2-24-2-24-2-2-2-24-4-2-2111-44-4-4-2-2111-2-2-2-211111122-2-2222222-1-1-1-1-1-12-4-242222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000
χ454444-24-2-2-2-2-2444-2-24-21-21144-2-2-21-211-2-211-2-2111144-2-24-2-2-211-2-21111-2-24-2-2-211-2-21111-2-211-2-21111000000000000000000000000000000
χ464444-24-2-2-2-2-2444-2-24-21-211-4-4-2-2-21-211-2-211-2-21111-4-4224-2-2-211-2-2111122-4222-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000
χ474444-24-2-2-2-2-2444-2-2-4-21-2114-422-21-211-2-211-2-211114422-4222-1-122-1-1-1-1-2-2-42-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000
χ484444-24-2-2-2-2-2444-2-2-4-21-211-4422-21-211-2-211-2-21111-4-4-2-2-4222-1-122-1-1-1-1224-222-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000
χ494444-2-24-244-2-2-2-24-241-2-21144-2-21-2-21111-2-2-2-21111-2-244-2411-2-2-2-211114-2-2-211-2-2-2-2111111-2-2-2-21111000000000000000000000000000000
χ504444-2-24-244-2-2-2-24-241-2-211-4-4-2-21-2-21111-2-2-2-2111122-4-4-2411-2-2-2-21111-4222-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000
χ514444-2-24-244-2-2-2-24-2-41-2-2114-4221-2-21111-2-2-2-21111-2-2-4-42-4-1-12222-1-1-1-14-22211-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000
χ524444-2-24-244-2-2-2-24-2-41-2-211-44221-2-21111-2-2-2-2111122442-4-1-12222-1-1-1-1-42-2-2-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000
χ534444-2-2-2-2-2-2-2-2-2-2-2-24111−1−3i32−1+3i3244-2-2111−1−3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i32-2-2-2-2-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-2-2-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i32000000000000000000000000000000
χ544444-2-2-2-2-2-2-2-2-2-2-2-24111−1−3i32−1+3i32-4-4-2-2111−1−3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i322222-2-2111111−1−3i32−1−3i32−1+3i32−1+3i322222-1-1-1-1-1-11+3i321+3i321−3i321−3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32000000000000000000000000000000
χ554444-2-2-2-2-2-2-2-2-2-2-2-24111−1+3i32−1−3i3244-2-2111−1+3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i32-2-2-2-2-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32-2-2-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i32000000000000000000000000000000
χ564444-2-2-2-2-2-2-2-2-2-2-2-24111−1+3i32−1−3i32-4-4-2-2111−1+3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i322222-2-2111111−1+3i32−1+3i32−1−3i32−1−3i322222-1-1-1-1-1-11−3i321−3i321+3i321+3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32000000000000000000000000000000
χ574444-2-2-2-2-2-2-2-2-2-2-2-2-4111−1−3i32−1+3i324-422111−1−3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i32-2-22222-1-1-1-1-1-11+3i321+3i321−3i321−3i32-2-222111111−1−3i32−1−3i32−1+3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32000000000000000000000000000000
χ584444-2-2-2-2-2-2-2-2-2-2-2-2-4111−1−3i32−1+3i32-4422111−1−3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i3222-2-222-1-1-1-1-1-11+3i321+3i321−3i321−3i3222-2-2-1-1-1-1-1-11+3i321+3i321−3i321−3i32111111−1−3i32−1−3i32−1+3i32−1+3i32000000000000000000000000000000
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χ714-44-44-244-44-422-2-4-40-24-2-2-20000-24-2-2-222-4-422222223−2300000000000000000023−230023−2323−2323−230000000000000000000000000000000000000000
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χ754-44-44-2-242-2-422-22-40-2-21110000-2-21112222-1-1-1-1-1-1−232323−23000000-33-33-330000−2323003−33−33−30023−23−33−33−33000000000000000000000000000000
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χ784-44-4-244-2-442-4-44-420-2-24-2-2002i3−2i3-2-24-2-22222-4-422220000002i3−2i32i3−2i3002i3−2i3−2i32i3000000000000000000000000000000000000000000000000000000
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χ904-44-4-2-2-2-22-2222-2220111−1−3i32−1+3i32002i3−2i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32−232323−2300−i3i3−i3i3-333+i32−3−i323−i32−3+i3200003−3−3i3i3−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ113i−3i−33−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000000000000000000000000000
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χ954-4-44444-4-4-4-4-44-4440444440000-4-4-4-4-4-44-44-44-44-440000000000000000000000000000000000000000000000000000000000000000000000
χ964-4-4444-2-422-4-44-4-2404-2-2-2-20000-42222-442-22-22-22-20000000000000000000000000000000000000000000000000000−2i32i30000000000000000
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χ1004-4-44-2442-4-42-44-44-20-2-24-2-2000022-4222-22-2-442-22-200000000000000000000000000000000000000000000000000000000000000−2i32i3000000
χ1014-4-44-2442-4-42-44-44-20-2-24-2-2000022-4222-22-2-442-22-2000000000000000000000000000000000000000000000000000000000000002i3−2i3000000
χ10288-8-88-4-4-8-448-4444-80-4-4222000044-2-2-2-44-442-22-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-48-44-44-48-8-8440-42-42200004-24-2-2-442-2-442-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4848-8-4-444-8402-4-4220000-244-2-22-2-44-442-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-44-44-4-444440222−1−3i3−1+3i30000-2-2-21+3i31−3i32-22-22-2−1−3i31+3i3−1+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-44-44-4-444440222−1+3i3−1−3i30000-2-2-21−3i31+3i32-22-22-2−1+3i31−3i3−1−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-888-4-4-844-84-44-480-4-4222000044-2-2-24-44-4-22-22-220000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-48-44444-88-8-4-40-42-42200004-24-2-24-4-224-4-22-220000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-484-8-844-448-402-4-4220000-244-2-2-224-44-4-22-220000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-444444-44-4-40222−1−3i3−1+3i30000-2-2-21+3i31−3i3-22-22-221+3i3−1−3i31−3i3−1+3i30000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-444444-44-4-40222−1+3i3−1−3i30000-2-2-21−3i31+3i3-22-22-221−3i3−1+3i31+3i3−1−3i30000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.