Finite Group Databasebeta

← Group #13161969

Character table — Group #13161969

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222222444444444444444444444444448888888888888888888888888888888888888363636363636363636363636363636363636727272727272727272
order1222333446666666663333366666666666666612121212121226666666666666666666666666612121212121212121212448888121212122424242424242424444121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-111
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-11-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11-1-111-1-1
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
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-11-11-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-111-1-111
χ92222222-2-222222222222222222222222222222-2-2-2-2-2-2000000000000000000000000000-2-2-2-2-2-2-2-2-2-22-2000022-2-200000000000000000
χ102222222-2-222222222222222222222222222222-2-2-2-2-2-2000000000000000000000000000-2-2-2-2-2-2-2-2-2-2-220000-2-22200000000000000000
χ11222222-1222222-1-122-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-122-1-12222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1220000-1-1-1-1000000002000000-1-1
χ12222222-1222222-1-122-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-122-1-12222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-20000111100000000-200000011
χ13222222-1222222-1-122-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-122-1-122-2-2-2-2-211-2-2-2-2111111111111111122-1-1-1-1-1-1-1-1220000-1-1-1-100000000-200000011
χ14222222-1222222-1-122-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-122-1-122-2-2-2-2-211-2-2-2-2111111111111111122-1-1-1-1-1-1-1-1-2-200001111000000002000000-1-1
χ15222222-1-2-22222-1-122-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-200000−i3i30000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3-2-2111111112-20000-1-111000000000000000−i3i3
χ16222222-1-2-22222-1-122-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-200000−i3i30000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3-2-211111111-22000011-1-1000000000000000i3−i3
χ17222222-1-2-22222-1-122-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-200000i3−i30000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3-2-2111111112-20000-1-111000000000000000i3−i3
χ18222222-1-2-22222-1-122-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-200000i3−i30000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3-2-211111111-22000011-1-1000000000000000−i3i3
χ1922222-12222-12-1222-12-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12-1222-1222-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100002200000000-1-1-1-100200-1-100
χ2022222-12222-12-1222-12-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12-1222-1222-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000-2-200000000111100-2001100
χ2122222-12222-12-1222-12-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12-1222-1-2-2-211-2-21111-2-2111111-2-2111111-1-122-1-1-1-1-1-100002200000000-1-1-1-100-2001100
χ2222222-12222-12-1222-12-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12-1222-1-2-2-211-2-21111-2-2111111-2-2111111-1-122-1-1-1-1-1-10000-2-200000000111100200-1-100
χ232222-12222-12-1222-122-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1222-122-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10022000000-1-1-1-10000020-1-10000
χ242222-12222-12-1222-122-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1222-122-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-100-2-2000000111100000-20110000
χ252222-12222-12-1222-122-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1222-12-211-2-2-2-2111111-2-2111111-2-21111-1-1-1-122-1-1-1-10022000000-1-1-1-100000-20110000
χ262222-12222-12-1222-122-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1222-12-211-2-2-2-2111111-2-2111111-2-21111-1-1-1-122-1-1-1-100-2-200000011110000020-1-10000
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χ282-22-22222-2-2-222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2222222-22-2-220000000000000000000000000002-22-22-222-2-200−2i2i000000−2i−2i2i2i0000000000000
χ292-22-2222-22-2-222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-222222-22-222-2000000000000000000000000000-22-22-22-2-22200002i−2i000000002i2i−2i−2i000000000
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χ312-22-22-12-22-212-1-2-2-212-12-1-1-111-2-2111111-12-1-1-1-2-1-2221000−i3i300−i3−i3i3i300−i3i3−i3−i3i3i300−i3i3−i3−i3i3i31-1-221-111-1-100002i−2i00000000−i−iii000003−300
χ322-22-22-12-22-212-1-2-2-212-12-1-1-111-2-2111111-12-1-1-1-2-1-2221000−i3i300−i3−i3i3i300−i3i3−i3−i3i3i300−i3i3−i3−i3i3i31-1-221-111-1-10000−2i2i00000000ii−i−i00000−3300
χ332-22-22-12-22-212-1-2-2-212-12-1-1-111-2-2111111-12-1-1-1-2-1-2221000i3−i300i3i3−i3−i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i31-1-221-111-1-100002i−2i00000000−i−iii00000−3300
χ342-22-22-12-22-212-1-2-2-212-12-1-1-111-2-2111111-12-1-1-1-2-1-2221000i3−i300i3i3−i3−i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i31-1-221-111-1-10000−2i2i00000000ii−i−i000003−300
χ352-22-2-1222-21-2-12-2-21-22-1-12-1-11111-2-21111-1-12-1-1-1-22-2120−i3i30000−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i3-11-112-2-1-111002i−2i000000−i−iii00000003−30000
χ362-22-2-1222-21-2-12-2-21-22-1-12-1-11111-2-21111-1-12-1-1-1-22-2120−i3i30000−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i3-11-112-2-1-11100−2i2i000000ii−i−i0000000−330000
χ372-22-2-1222-21-2-12-2-21-22-1-12-1-11111-2-21111-1-12-1-1-1-22-2120i3−i30000i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i3-11-112-2-1-111002i−2i000000−i−iii0000000−330000
χ382-22-2-1222-21-2-12-2-21-22-1-12-1-11111-2-21111-1-12-1-1-1-22-2120i3−i30000i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i3-11-112-2-1-11100−2i2i000000ii−i−i00000003−30000
χ3944444-24-4-44-24-2444-24-24-2-2-2-2-244-2-2-2-2-2-2-24-2-2-2-42-4-4-4200000000000000000000000000022-4-4222222000000000000000000000000000
χ4044444-2-2444-24-2-2-24-2-2-2-2111-2-2-2-2111111-2-21114-2-2-24-2444-2-2-2-2-2-2-2-2-2-2111111-2-2111111-2-2-2-2111111000000000000000000000000000
χ4144444-2-2444-24-2-2-24-2-2-2-2111-2-2-2-2111111-2-21114-2-2-24-2-4-4-42222222222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000
χ4244444-2-2-4-44-24-2-2-24-2-2-2-2111-2-2-2-2111111-2-2111-4222-4200000−2i32i30000−2i3−2i3i3i3i3i3i3i32i32i3−i3−i3−i3−i3−i3−i32222-1-1-1-1-1-1000000000000000000000000000
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χ444444-244-4-4-24-2444-244-2-24-2-2-2-2-2-244-2-2-2-2-2-24-2-22-4-4-42-40000000000000000000000000002222-4-42222000000000000000000000000000
χ454444-24-244-24-24-2-2-24-2-21-211-2-211-2-21111-21-211-24-2-2-244-2-244-2-2-2-2-2-211-2-2111111-2-21111-2-211-2-21111000000000000000000000000000
χ464444-24-244-24-24-2-2-24-2-21-211-2-211-2-21111-21-211-24-2-2-24-422-4-4222222-1-122-1-1-1-1-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000
χ474444-24-2-4-4-24-24-2-2-24-2-21-211-2-211-2-21111-21-2112-4222-400000−2i32i30000i3i3−2i3−2i3i3i3i3i3−i3−i32i32i3−i3−i3−i3−i322-1-122-1-1-1-1000000000000000000000000000
χ484444-24-2-4-4-24-24-2-2-24-2-21-211-2-211-2-21111-21-2112-4222-4000002i3−2i30000−i3−i32i32i3−i3−i3−i3−i3i3i3−2i3−2i3i3i3i3i322-1-122-1-1-1-1000000000000000000000000000
χ494444-2-2444-2-2-2-244-2-241-2-21111-2-2-2-211111-2-211-2-244-2-24-2-2-2-2441111-2-2-2-21111-2-2-2-2111111-2-2-2-21111000000000000000000000000000
χ504444-2-2444-2-2-2-244-2-241-2-21111-2-2-2-211111-2-211-2-244-2-2-42222-4-4-1-1-1-12222-1-1-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000
χ514444-2-24-4-4-2-2-2-244-2-241-2-21111-2-2-2-211111-2-21122-4-42200000003-3-3300003-3-3300003-3-33-1-12222-1-1-1-1000000000000000000000000000
χ524444-2-24-4-4-2-2-2-244-2-241-2-21111-2-2-2-211111-2-21122-4-4220000000-333-30000-333-30000-333-3-1-12222-1-1-1-1000000000000000000000000000
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+3i32-2-2-2-2-2-24-2-2-2-2-2-211111111−1−3i32−1+3i32−1+3i32−1−3i321111−1+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+3i32-2-2-2-2-2-2-4222222-1-1-1-1-1-1-1-11+3i321−3i321−3i321+3i32-1-1-1-11−3i321+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+3i32−1−3i32-2-2-2-2-2-24-2-2-2-2-2-211111111−1+3i32−1−3i32−1−3i32−1+3i321111−1−3i32−1+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+3i32−1−3i32-2-2-2-2-2-2-4222222-1-1-1-1-1-1-1-11−3i321+3i321+3i321−3i32-1-1-1-11+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+3i3222222200000−2i32i33-3-33i3i3i3i3−3−i323−i323−i32−3−i32−i3−i3−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+3i32222222000002i3−2i3-333-3−i3−i3−i3−i33+i32−3+i32−3+i323+i32i3i3i3i33−i32−3−i32−3−i323−i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000
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χ714-44-44-2-24-4-424-222-42-2-2-21112222-1-1-1-1-1-1-2-211142-22-4-200000000000003-333-3-300-33-3-333-22-221-111-1-1000000000000000000000000000
χ724-44-44-2-24-4-424-222-42-2-2-21112222-1-1-1-1-1-1-2-211142-22-4-20000000000000-33-3-333003-333-3-3-22-221-111-1-1000000000000000000000000000
χ734-44-44-2-2-44-424-222-42-2-2-21112222-1-1-1-1-1-1-2-2111-4-22-242000−2i32i300−2i3−2i32i32i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i32-22-2-11-1-111000000000000000000000000000
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χ794-44-4-24-2-442-4-24222-4-2-21-21122-1-122-1-1-1-1-21-211242-2-2-400000000000-3300-33-333-3003-33-32-2-112-2-1-111000000000000000000000000000
χ804-44-4-2-244-422-2-2-4-42241-2-211-1-12222-1-1-1-11-2-211-224-42-20−2i32i30000i3−i3i3−i3−2i32i300i3−i3i3−i3−2i32i300i3−i3i3−i31-1-22-2211-1-1000000000000000000000000000
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χ864-44-4-2-2-24-422-2-22222-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i32-22-222-20−2i32i30000i3−i3i3−i3i3−i3-333−i323+i32−3−i32−3+i32i3−i33-3−3−i32−3+i323−i323+i321-11-11-1−1+3i32−1−3i321−3i321+3i32000000000000000000000000000
χ874-44-4-2-2-24-422-2-22222-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i32-22-222-202i3−2i30000−i3i3−i3i3−i3i33-3−3+i32−3−i323+i323−i32−i3i3-333+i323−i32−3+i32−3−i321-11-11-1−1+3i32−1−3i321−3i321+3i32000000000000000000000000000
χ884-44-4-2-2-2-4422-2-22222-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i322-22-2-22000−2i32i300i3i3−i3−i33-3i3−i3−3−i323−i32−3+i323+i32-33i3−i33−i32−3−i323+i32−3+i32-11-11-111+3i321−3i32−1−3i32−1+3i32000000000000000000000000000
χ894-44-4-2-2-2-4422-2-22222-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i322-22-2-220002i3−2i300−i3−i3i3i3-33−i3i33+i32−3+i323−i32−3−i323-3−i3i3−3+i323+i32−3−i323−i32-11-11-111+3i321−3i32−1−3i32−1+3i32000000000000000000000000000
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χ914-44-4-2-2-2-4422-2-22222-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i322-22-2-220002i3−2i300−i3−i3i3i33-3−i3i3−3+i323+i32−3−i323−i32-33−i3i33+i32−3+i323−i32−3−i32-11-11-111−3i321+3i32−1+3i32−1−3i32000000000000000000000000000
χ924-4-4444400-4-4-4-4-4444-444444-44-44-44-44-44-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000
χ934-4-4444-200-4-4-4-42-24424-2-2-2-2-442-22-22-22-2-42222000000000000000000000000000000000000000000000000023−230000000000000000000
χ944-4-4444-200-4-4-4-42-24424-2-2-2-2-442-22-22-22-2-422220000000000000000000000000000000000000000000000000−23230000000000000000000
χ954-4-444-2400-42-42-444-2-4-24-2-2-22-2-442-22-22-22-4222000000000000000000000000000000000000000000000000000000000i6−i6−i6i6000000000
χ964-4-444-2400-42-42-444-2-4-24-2-2-22-2-442-22-22-22-4222000000000000000000000000000000000000000000000000000000000−i6i6i6−i6000000000
χ974-4-44-244002-42-4-44-24-4-2-24-2-22-22-2-442-22-222-42200000000000000000000000000000000000000000000000000000i6−i6−i6i60000000000000
χ984-4-44-244002-42-4-44-24-4-2-24-2-22-22-2-442-22-222-42200000000000000000000000000000000000000000000000000000−i6i6i6−i60000000000000
χ9988-8-88-4-4008-4-84-44-844-4-4222-44-442-22-22-244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-48-400-484-8-444-84-42-422-442-2-442-22-24-24-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4800-4-4448-844-82-4-4222-2-44-442-22-2-244-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-400-4-444-44444222−1−3i3−1+3i32-22-22-2−1−3i31+3i3−1+3i31−3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4-400-4-444-44444222−1+3i3−1−3i32-22-22-2−1+3i31−3i3−1−3i31+3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-888-4-400-84-844-48-44-4-42224-44-4-22-22-2244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1058-8-88-48-4004-84-84-4-484-42-4224-4-224-4-22-224-24-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-48004444-88-4-4-82-4-422-224-44-4-22-22-244-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-40044444-4-4-44222−1−3i3−1+3i3-22-22-221+3i3−1−3i31−3i3−1+3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-40044444-4-4-44222−1+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).