Finite Group Databasebeta

← Group #13178688

Character table — Group #13178688

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-11-1-1111-1-1-1-1-1-111111111111111111111111111111111111111111111111-1-1-1-11-1-1111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-111-1-1-11-1-1-1-111-1-11-1111111111111111111111111111111111111111111-1-1-1-1-111-1-1-11-1-1-1-111-1-11-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-111-1-11-1-1-1-1-111-11111111111111111111111111111111111111111111-1-1-1-1-1-1-111-1-11-1-1-1-1-111-11
χ5111111111-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-111111-1-1111111111-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-111111-1-1
χ6111111111-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-1-11-1-1-1-111111111111-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-1-11-1-1-1-111
χ7111111111-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-11-1111-111-1-1-11111111111-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-11-1111-111-1-1-11
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χ69111111111-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111-1-111-11111-1-1
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χ762222-12-122-22-1-1-1-1112-1-1-1-1-122-2-2-2-2111111112-1-1-1-1222-1-10000-20011-1000000-2-2-2-21-21-2-22-21111-1-1-211111-2-22222-1-1-1-1-1-1-1-1-21111-2-2-2110000200-1-11000000
χ772222-12-122-22-1-1-1-1112-1-1-1-1-122-2-2-2-2111111112-1-1-1-1-2-2-2110000200-1-11000000-2-2-2-21-21-2-22-21111-1-1-211111-2-22222-1-1-1-1-1-1-1-1-21111222-1-10000-20011-1000000
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χ812222-1-2-12202-1-1-1-1i3−i32-1-1-1-11-2-20000i3i3i3i3−i3−i3−i3−i3-21111-2-22110000000−i3i3-1000000-2-2-2-2121-2-20-21111−i3i3-21111-1220000−i3−i3−i3−i3i3i3i3i32-1-1-1-122-2-1-10000000i3−i31000000
χ82222-12222-12-12-1-1-122-12-1-1-122-12-1-1-12-1-1-12-1-1-1-12-1-1-100000002200200000-1-10-1-2-2-21-2-2-2-21-21-2111-2-21-2111-2-21-2111-2111-21111-21110000000-2-200-2000001101
χ83222-12222-12-12-1-1-122-12-1-1-122-12-1-1-12-1-1-12-1-1-1-12-1-1-10000000-2-200-2000001101-2-2-21-2-2-2-21-21-2111-2-21-2111-2-21-2111-2111-21111-211100000002200200000-1-10-1
χ84222-12222-1-2-12-1-1-1-2-2-12-1-1-122-1-2111-2111-2111-12-1-1-100000002200-200000-1-101-2-2-21-2-2-2-2121-2111221-2111-2-212-1-1-12-1-1-12-1-1-11-21110000000-2-200200000110-1
χ85222-12222-1-2-12-1-1-1-2-2-12-1-1-122-1-2111-2111-2111-12-1-1-10000000-2-200200000110-1-2-2-21-2-2-2-2121-2111221-2111-2-212-1-1-12-1-1-12-1-1-11-211100000002200-200000-1-101
χ8622-12222-122-1-12-1-122-1-12-1-12-12-12-1-1-12-1-1-12-1-1-1-12-1-1000002200020000-1-100-10-2-21-2-2-2-21-2-211-211-2-211-211-21-21-2111-2111-21111-21100000-2-2000-20000110010
χ8722-12222-122-1-12-1-122-1-12-1-12-12-12-1-1-12-1-1-12-1-1-1-12-1-100000-2-2000-20000110010-2-21-2-2-2-21-2-211-211-2-211-211-21-21-2111-2111-21111-211000002200020000-1-100-10
χ8822-12222-12-2-1-12-1-1-2-2-1-12-1-12-121-2111-2111-211-1-12-1-10000022000-20000-1-10010-2-21-2-2-2-21-2211-2112211-211-21-2-12-1-1-12-1-1-12-1-111-21100000-2-2000200001100-10
χ8922-12222-12-2-1-12-1-1-2-2-1-12-1-12-121-2111-2111-211-1-12-1-100000-2-2000200001100-10-2-21-2-2-2-21-2211-2112211-211-21-2-12-1-1-12-1-1-12-1-111-2110000022000-20000-1-10010
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χ912-22220-2-2-202222200-2-2-2-2-2000000000000000000002-202-2i2−i2i2−i2000000i2−i2i2−i200-22-2-2-202220-2-2-2-2-2002222200000000000000000000-220-22−i2i2−i2i2000000−i2i2−i2i200
χ922-22220-2-2-202222200-2-2-2-2-200000000000000000000-220-22−i2i2i2−i2000000−i2i2i2−i200-22-2-2-202220-2-2-2-2-20022222000000000000000000002-202-2i2−i2−i2i2000000i2−i2−i2i200
χ932-22220-2-2-202222200-2-2-2-2-200000000000000000000-220-22i2−i2−i2i2000000i2−i2−i2i200-22-2-2-202220-2-2-2-2-20022222000000000000000000002-202-2−i2i2i2−i2000000−i2i2i2−i200
χ94444-24-444-20-24-2-2-200-24-2-2-2-4-420000000000002-4222000000000000000000000-4-4-42-44-4-4202-4222002-422244-2000000000000-24-2-2-2000000000000000000000
χ95444-2-24-24-24-2-2111-2-2-2-2111-24-24-2-2-2-2111-2111-2-2111000000000000000000000-4-4-422-42-42-422-1-1-12222-1-1-12-42-42222-1-1-12-1-1-122-1-1-1000000000000000000000
χ96444-2-24-24-2-4-2-211122-2-2111-24-2-42222-1-1-12-1-1-1-2-2111000000000000000000000-4-4-422-42-42422-1-1-1-2-222-1-1-12-424-2-2-2-2111-211122-1-1-1000000000000000000000
χ97444-2-2-4-24-20-2-2111−2i32i3-2-21112-420000−2i3i3i3i32i3−i3−i3−i322-1-1-1000000000000000000000-4-4-42242-42022-1-1-12i3−2i322-1-1-1-24-200002i3−i3−i3−i3−2i3i3i3i3-2-2111000000000000000000000
χ98444-2-2-4-24-20-2-21112i3−2i3-2-21112-4200002i3−i3−i3−i3−2i3i3i3i322-1-1-1000000000000000000000-4-4-42242-42022-1-1-1−2i32i322-1-1-1-24-20000−2i3i3i3i32i3−i3−i3−i3-2-2111000000000000000000000
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χ10044-24-24-2-244-21-211-2-2-21-211-2-24-24-2-21-2111-211-21-211000000000000000000000-4-42-42-422-4-42-12-1-1222-12-1-122-42-422-12-1-1-12-1-12-12-1-1000000000000000000000
χ10144-24-24-2-24-4-21-21122-21-211-2-242-422-12-1-1-12-1-1-21-211000000000000000000000-4-42-42-422-442-12-1-1-2-22-12-1-122-4-24-2-21-2111-2112-12-1-1000000000000000000000
χ10244-24-2-4-2-240-21-211−2i32i3-21-21122-40000i3−2i3i3i3−i32i3−i3−i32-12-1-1000000000000000000000-4-42-42422-402-12-1-12i3−2i32-12-1-1-2-240000−i32i3−i3−i3i3−2i3i3i3-21-211000000000000000000000
χ10344-24-2-4-2-240-21-2112i3−2i3-21-21122-40000−i32i3−i3−i3i3−2i3i3i32-12-1-1000000000000000000000-4-42-42422-402-12-1-1−2i32i32-12-1-1-2-240000i3−2i3i3i3−i32i3−i3−i3-21-211000000000000000000000
χ10444-2-2444-2-241-2-211441-2-2114-2-2-2-211-2-211-2-2111-2-211000000000000000000000-4-422-4-4-422-4-122-1-1-4-4-122-1-1-42222-1-122-1-122-1-1-122-1-1000000000000000000000
χ10544-2-2444-2-2-41-2-211-4-41-2-2114-2-222-1-122-1-122-1-11-2-211000000000000000000000-4-422-4-4-4224-122-1-144-122-1-1-422-2-211-2-211-2-211-122-1-1000000000000000000000
χ10644-2-24-44-2-201-2-211001-2-211-422003-3003-3003-3-122-1-1000000000000000000000-4-422-44-4220-122-1-100-122-1-14-2-200-3300-3300-331-2-211000000000000000000000
χ10744-2-24-44-2-201-2-211001-2-211-42200-3300-3300-33-122-1-1000000000000000000000-4-422-44-4220-122-1-100-122-1-14-2-2003-3003-3003-31-2-211000000000000000000000
χ10844-2-2-24-2-2-24111−1−3i32−1+3i32-2-2111−1−3i32−1+3i32-2-2-2-2-21111−1−3i32−1+3i3211−1+3i32−1−3i32111−1−3i32−1+3i32000000000000000000000-4-4222-4222-4-1-1-11+3i321−3i3222-1-1-11+3i321−3i3222222-1-1-1-11+3i321−3i32-1-11−3i321+3i32-1-1-11+3i321−3i32000000000000000000000
χ10944-2-2-24-2-2-24111−1+3i32−1−3i32-2-2111−1+3i32−1−3i32-2-2-2-2-21111−1+3i32−1−3i3211−1−3i32−1+3i32111−1+3i32−1−3i32000000000000000000000-4-4222-4222-4-1-1-11−3i321+3i3222-1-1-11−3i321+3i3222222-1-1-1-11−3i321+3i32-1-11+3i321−3i32-1-1-11−3i321+3i32000000000000000000000
χ11044-2-2-24-2-2-2-4111−1−3i32−1+3i3222111−1−3i32−1+3i32-2-2-222-1-1-1-11+3i321−3i32-1-11−3i321+3i32111−1−3i32−1+3i32000000000000000000000-4-4222-42224-1-1-11+3i321−3i32-2-2-1-1-11+3i321−3i32222-2-21111−1−3i32−1+3i3211−1+3i32−1−3i32-1-1-11+3i321−3i32000000000000000000000
χ11144-2-2-24-2-2-2-4111−1+3i32−1−3i3222111−1+3i32−1−3i32-2-2-222-1-1-1-11−3i321+3i32-1-11+3i321−3i32111−1+3i32−1−3i32000000000000000000000-4-4222-42224-1-1-11−3i321+3i32-2-2-1-1-11−3i321+3i32222-2-21111−1+3i32−1−3i3211−1−3i32−1+3i32-1-1-11−3i321+3i32000000000000000000000
χ11244-2-2-2-4-2-2-20111−1−3i32−1+3i32−2i32i3111−1−3i32−1+3i32222003-3i3i3−3−i323−i32−i3−i3−3+i323+i32-1-1-11+3i321−3i32000000000000000000000-4-422242220-1-1-11+3i321−3i322i3−2i3-1-1-11+3i321−3i32-2-2-200-33−i3−i33+i32−3+i32i3i33−i32−3−i32111−1−3i32−1+3i32000000000000000000000
χ11344-2-2-2-4-2-2-20111−1−3i32−1+3i322i3−2i3111−1−3i32−1+3i3222200-33−i3−i33+i32−3+i32i3i33−i32−3−i32-1-1-11+3i321−3i32000000000000000000000-4-422242220-1-1-11+3i321−3i32−2i32i3-1-1-11+3i321−3i32-2-2-2003-3i3i3−3−i323−i32−i3−i3−3+i323+i32111−1−3i32−1+3i32000000000000000000000
χ11444-2-2-2-4-2-2-20111−1+3i32−1−3i32−2i32i3111−1+3i32−1−3i3222200-33i3i33−i32−3−i32−i3−i33+i32−3+i32-1-1-11−3i321+3i32000000000000000000000-4-422242220-1-1-11−3i321+3i322i3−2i3-1-1-11−3i321+3i32-2-2-2003-3−i3−i3−3+i323+i32i3i3−3−i323−i32111−1+3i32−1−3i32000000000000000000000
χ11544-2-2-2-4-2-2-20111−1+3i32−1−3i322i3−2i3111−1+3i32−1−3i32222003-3−i3−i3−3+i323+i32i3i3−3−i323−i32-1-1-11−3i321+3i32000000000000000000000-4-422242220-1-1-11−3i321+3i32−2i32i3-1-1-11−3i321+3i32-2-2-200-33i3i33−i32−3−i32−i3−i33+i32−3+i32111−1+3i32−1−3i32000000000000000000000
χ1164-444-202-4-404-2-2-2-200-42222000000000000000000004-40-220000000000000000-44-4-420-2440-42222004-2-2-2-200000000000000000000-4402-20000000000000000
χ1174-444-202-4-404-2-2-2-200-4222200000000000000000000-4402-20000000000000000-44-4-420-2440-42222004-2-2-2-2000000000000000000004-40-220000000000000000
χ1184-44-240-4-420-24-2-2-2002-4222000000000000000000000000000−2i22i200000000i2−i200-44-42-4044-202-422200-24-2-2-20000000000000000000000000002i2−2i200000000−i2i200
χ1194-44-240-4-420-24-2-2-2002-42220000000000000000000000000002i2−2i200000000−i2i200-44-42-4044-202-422200-24-2-2-2000000000000000000000000000−2i22i200000000i2−i200
χ1204-4-2440-42-40-2-24-2-20022-4220000000000000000000000000−2i22i200000000i2−i20000-442-4-404-24022-42200-2-24-2-200000000000000000000000002i2−2i200000000−i2i20000
χ1214-4-2440-42-40-2-24-2-20022-42200000000000000000000000002i2−2i200000000−i2i20000-442-4-404-24022-42200-2-24-2-20000000000000000000000000−2i22i200000000i2−i20000
χ1228-88-4-404-840-4-42220044-2-2-200000000000000000000000000000000000000000-88-8440-48-4044-2-2-200-4-422200000000000000000000000000000000000000000
χ1238-8-48-4044-80-42-422004-24-2-200000000000000000000000000000000000000000-884-840-4-4804-24-2-200-42-42200000000000000000000000000000000000000000
χ1248-8-4-480-84402-4-42200-244-2-200000000000000000000000000000000000000000-8844-808-4-40-244-2-2002-4-42200000000000000000000000000000000000000000
χ1258-8-4-4-404440222−1−3i3−1+3i300-2-2-21+3i31−3i300000000000000000000000000000000000000000-884440-4-4-40-2-2-21+3i31−3i300222−1−3i3−1+3i300000000000000000000000000000000000000000
χ1268-8-4-4-404440222−1+3i3−1−3i300-2-2-21−3i31+3i300000000000000000000000000000000000000000-884440-4-4-40-2-2-21−3i31+3i300222−1+3i3−1−3i300000000000000000000000000000000000000000

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