Finite Group Databasebeta

← Group #13181682

Character table — Group #13181682

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size112222222224444444444444444444888888888888888181818181818181818181818181818181818363636363636363636112222222224444444444444444444888888888888888181818181818181818181818181818181818363636363636363636
order123334446663333366666121212121212121212121212121212121212121212121212222222222444121212121212666666666226664446666666666666121212121212121212121212121212121212121212121212222222222444121212121212666666666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-11-1-111-1-1-1-1111-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-11-1-111-1-1-1-1111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111-1-1-1111-1-1-1-11-1-1-111-1-1-1-1-1111-1-1-1111111111111111111111111111111111111111111111-1-1-1111-1-1-1-11-1-1-111-1-1-1-1-1111-1-1-1
χ4111111111111111111111111111111111111111111111-1-1-1-1-1-1111-1-11-1-1-1-111-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1111-1-11-1-1-1-111-1-1-1-1-1-1111
χ5111111-1-11111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-111-11-1-1-1-11-1-1-1-11111-111-11-1-1111111-1-11111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-111-11-1-1-1-11-1-1-1-11111-111-11-1-1
χ6111111-1-11111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-11-111-11-1-1-111-1-111-1-1-11-111111111-1-11111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-11-111-11-1-1-111-1-111-1-1-11-111
χ7111111-1-11111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-111-1-1-1-1-1-1111-1-111111111-1-11111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-111-1-1-1-1-1-1111-1-111
χ8111111-1-11111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111111111-1-11-1-111-1-1111111-1-11111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111111111-1-11-1-111-1-1
χ911111-11-11111111111111-1-1-1111-1-1-1-1-1-1-1-111111-1-1-1-1-11-111-11-11-1-1-11-1-1-1-1111-111-11-11-111111-11-11111111111111-1-1-1111-1-1-1-1-1-1-1-111111-1-1-1-1-11-111-11-11-1-1-11-1-1-1-1111-111-11-11-1
χ1011111-11-11111111111111-1-1-1111-1-1-1-1-1-1-1-111111-1-1-1-1-11-11-11-11-11-11-1-1-111-1-11-11-11-11-1111111-11-11111111111111-1-1-1111-1-1-1-1-1-1-1-111111-1-1-1-1-11-11-11-11-11-11-1-1-111-1-11-11-11-11-11
χ1111111-11-11111111111111-1-1-1111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11-11-111-111-1-111-1-1-1-1-11-11-111-1111111-11-11111111111111-1-1-1111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11-11-111-111-1-111-1-1-1-1-11-11-111-11
χ1211111-11-11111111111111-1-1-1111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11-1-11-1-11-1111111111-11-1-11-1-11-111111-11-11111111111111-1-1-1111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11-1-11-1-11-1111111111-11-1-11-1-11-1
χ1311111-1-111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1-1-111111111111-1-11-1-1-1-1111111-1-111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1-1-111111111111-1-11-1-1-1-11
χ1411111-1-111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-11-1-111-1-1-1-11-1-1-11111-111111-1-111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-11-1-111-1-1-1-11-1-1-11111-1
χ1511111-1-111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111-1111-1-111-1-11-1-1-111-1-1-1111-1-111-111111-1-111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111-1111-1-111-1-11-1-1-111-1-1-1111-1-111-1
χ1611111-1-111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111-111-111-1-11-1-11-1-1-1-111-111-111-1-1111111-1-111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111-111-111-1-11-1-11-1-1-1-111-111-111-1-11
χ172222-122222-12-1-1-1-12-1-1-1-122-122-122-12-1-1-1-12-1-1-1-12-1-1-1-10000002220020000-1-1000000-1-1-12222-122222-12-1-1-1-12-1-1-1-122-122-122-12-1-1-1-12-1-1-1-12-1-1-1-10000002220020000-1-1000000-1-1-1
χ182222-122222-12-1-1-1-12-1-1-1-122-122-122-12-1-1-1-12-1-1-1-12-1-1-1-1000000-2-2-200-20000110000001112222-122222-12-1-1-1-12-1-1-1-122-122-122-12-1-1-1-12-1-1-1-12-1-1-1-1000000-2-2-200-2000011000000111
χ192222-12-2-222-12-1-1-1-12-1-1-1-122-1-2-21-2-212-1-1-1-1-21111-211110000002-2-20020000-1-1000000-1112222-12-2-222-12-1-1-1-12-1-1-1-122-1-2-21-2-212-1-1-1-1-21111-211110000002-2-20020000-1-1000000-111
χ202222-12-2-222-12-1-1-1-12-1-1-1-122-1-2-21-2-212-1-1-1-1-21111-21111000000-22200-20000110000001-1-12222-12-2-222-12-1-1-1-12-1-1-1-122-1-2-21-2-212-1-1-1-1-21111-21111000000-22200-20000110000001-1-1
χ212222-1-22-222-12-1-1-1-12-1-1-1-1-2-2122-1-2-21-211112-1-1-1-1-211110000002-2200-2000011000000-11-12222-1-22-222-12-1-1-1-12-1-1-1-1-2-2122-1-2-21-211112-1-1-1-1-211110000002-2200-2000011000000-11-1
χ222222-1-22-222-12-1-1-1-12-1-1-1-1-2-2122-1-2-21-211112-1-1-1-1-21111000000-22-20020000-1-10000001-112222-1-22-222-12-1-1-1-12-1-1-1-1-2-2122-1-2-21-211112-1-1-1-1-21111000000-22-20020000-1-10000001-11
χ232222-1-2-2222-12-1-1-1-12-1-1-1-1-2-21-2-2122-1-21111-211112-1-1-1-100000022-200-2000011000000-1-112222-1-2-2222-12-1-1-1-12-1-1-1-1-2-21-2-2122-1-21111-211112-1-1-1-100000022-200-2000011000000-1-11
χ242222-1-2-2222-12-1-1-1-12-1-1-1-1-2-21-2-2122-1-21111-211112-1-1-1-1000000-2-220020000-1-100000011-12222-1-2-2222-12-1-1-1-12-1-1-1-1-2-21-2-2122-1-21111-211112-1-1-1-1000000-2-220020000-1-100000011-1
χ25222-122222-12-12-1-1-1-12-1-1-12-122-122-12-12-1-1-1-12-1-1-1-12-1-1-100022200002000-1-100000-1-1-1000222-122222-12-12-1-1-1-12-1-1-12-122-122-12-12-1-1-1-12-1-1-1-12-1-1-100022200002000-1-100000-1-1-1000
χ26222-122222-12-12-1-1-1-12-1-1-12-122-122-12-12-1-1-1-12-1-1-1-12-1-1-1000-2-2-20000-20001100000111000222-122222-12-12-1-1-1-12-1-1-12-122-122-12-12-1-1-1-12-1-1-1-12-1-1-1000-2-2-20000-20001100000111000
χ27222-122-2-22-12-12-1-1-1-12-1-1-12-12-21-2-21-2-12-1-1-11-21111-211100022-20000-20001100000-1-11000222-122-2-22-12-12-1-1-1-12-1-1-12-12-21-2-21-2-12-1-1-11-21111-211100022-20000-20001100000-1-11000
χ28222-122-2-22-12-12-1-1-1-12-1-1-12-12-21-2-21-2-12-1-1-11-21111-2111000-2-2200002000-1-10000011-1000222-122-2-22-12-12-1-1-1-12-1-1-12-12-21-2-21-2-12-1-1-11-21111-2111000-2-2200002000-1-10000011-1000
χ29222-12-22-22-12-12-1-1-1-12-1-1-1-21-22-12-21-21-2111-12-1-1-11-21110002-220000-20001100000-11-1000222-12-22-22-12-12-1-1-1-12-1-1-1-21-22-12-21-21-2111-12-1-1-11-21110002-220000-20001100000-11-1000
χ30222-12-22-22-12-12-1-1-1-12-1-1-1-21-22-12-21-21-2111-12-1-1-11-2111000-22-200002000-1-1000001-11000222-12-22-22-12-12-1-1-1-12-1-1-1-21-22-12-21-21-2111-12-1-1-11-2111000-22-200002000-1-1000001-11000
χ31222-12-2-222-12-12-1-1-1-12-1-1-1-21-2-21-22-121-21111-2111-12-1-1-10002-2-200002000-1-100000-111000222-12-2-222-12-12-1-1-1-12-1-1-1-21-2-21-22-121-21111-2111-12-1-1-10002-2-200002000-1-100000-111000
χ32222-12-2-222-12-12-1-1-1-12-1-1-1-21-2-21-22-121-21111-2111-12-1-1-1000-2220000-200011000001-1-1000222-12-2-222-12-12-1-1-1-12-1-1-1-21-2-21-22-121-21111-2111-12-1-1-1000-2220000-200011000001-1-1000
χ3322-122222-122-1-12-1-1-1-12-1-1-122-122-122-1-12-1-1-1-12-1-1-1-12-1-1222000000200-1-10000-1-1-100000022-122222-122-1-12-1-1-1-12-1-1-122-122-122-1-12-1-1-1-12-1-1-1-12-1-1222000000200-1-10000-1-1-1000000
χ3422-122222-122-1-12-1-1-1-12-1-1-122-122-122-1-12-1-1-1-12-1-1-1-12-1-1-2-2-2000000-20011000011100000022-122222-122-1-12-1-1-1-12-1-1-122-122-122-1-12-1-1-1-12-1-1-1-12-1-1-2-2-2000000-200110000111000000
χ3522-1222-2-2-122-1-12-1-1-1-12-1-1-1221-2-21-2-2-1-12-1-111-21111-21122-2000000-200110000-1-1100000022-1222-2-2-122-1-12-1-1-1-12-1-1-1221-2-21-2-2-1-12-1-111-21111-21122-2000000-200110000-1-11000000
χ3622-1222-2-2-122-1-12-1-1-1-12-1-1-1221-2-21-2-2-1-12-1-111-21111-211-2-22000000200-1-1000011-100000022-1222-2-2-122-1-12-1-1-1-12-1-1-1221-2-21-2-2-1-12-1-111-21111-211-2-22000000200-1-1000011-1000000
χ3722-122-22-2-122-1-12-1-1-1-12-1-11-2-2-1221-2-211-211-1-12-1-111-2112-22000000-200110000-11-100000022-122-22-2-122-1-12-1-1-1-12-1-11-2-2-1221-2-211-211-1-12-1-111-2112-22000000-200110000-11-1000000
χ3822-122-22-2-122-1-12-1-1-1-12-1-11-2-2-1221-2-211-211-1-12-1-111-211-22-2000000200-1-100001-1100000022-122-22-2-122-1-12-1-1-1-12-1-11-2-2-1221-2-211-211-1-12-1-111-211-22-2000000200-1-100001-11000000
χ3922-122-2-22-122-1-12-1-1-1-12-1-11-2-21-2-2-12211-21111-211-1-12-1-12-2-2000000200-1-10000-11100000022-122-2-22-122-1-12-1-1-1-12-1-11-2-21-2-2-12211-21111-211-1-12-1-12-2-2000000200-1-10000-111000000
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χ5444-2-2-2444-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i32111−1+3i32−1−3i3200000000000000000000000000044-2-2-2444-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i32111−1+3i32−1−3i32000000000000000000000000000
χ5544-2-2-24-4-4-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2222222111−1−3i32−1+3i32-1-1-11+3i321−3i32-1-1-11+3i321−3i3200000000000000000000000000044-2-2-24-4-4-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2222222111−1−3i32−1+3i32-1-1-11+3i321−3i32-1-1-11+3i321−3i32000000000000000000000000000
χ5644-2-2-24-4-4-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2222222111−1+3i32−1−3i32-1-1-11−3i321+3i32-1-1-11−3i321+3i3200000000000000000000000000044-2-2-24-4-4-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2222222111−1+3i32−1−3i32-1-1-11−3i321+3i32-1-1-11−3i321+3i32000000000000000000000000000
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χ12344-2-24-44-4-2-241-2-2111-2-21122-4-2-2422-4-122-1-11-2-211-122-1-1000000000000000000000000000-4-422-44-4422-4-122-1-1-122-1-1-2-2422-4-2-241-2-211-122-1-11-2-211000000000000000000000000000
χ12444-2-24-4-44-2-241-2-2111-2-21122-422-4-2-24-122-1-1-122-1-11-2-211000000000000000000000000000-4-422-444-422-4-122-1-1-122-1-1-2-24-2-2422-41-2-2111-2-211-122-1-1000000000000000000000000000
χ12544-2-2-2444-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i32111−1−3i32−1+3i32000000000000000000000000000-4-4222-4-4-4222-1-1-11+3i321−3i32-1-1-11+3i321−3i32222222222-1-1-11+3i321−3i32-1-1-11+3i321−3i32-1-1-11+3i321−3i32000000000000000000000000000
χ12644-2-2-2444-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i32111−1+3i32−1−3i32000000000000000000000000000-4-4222-4-4-4222-1-1-11−3i321+3i32-1-1-11−3i321+3i32222222222-1-1-11−3i321+3i32-1-1-11−3i321+3i32-1-1-11−3i321+3i32000000000000000000000000000
χ12744-2-2-24-4-4-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2222222111−1−3i32−1+3i32-1-1-11+3i321−3i32-1-1-11+3i321−3i32000000000000000000000000000-4-4222-444222-1-1-11+3i321−3i32-1-1-11+3i321−3i32222-2-2-2-2-2-2-1-1-11+3i321−3i32111−1−3i32−1+3i32111−1−3i32−1+3i32000000000000000000000000000
χ12844-2-2-24-4-4-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2222222111−1+3i32−1−3i32-1-1-11−3i321+3i32-1-1-11−3i321+3i32000000000000000000000000000-4-4222-444222-1-1-11−3i321+3i32-1-1-11−3i321+3i32222-2-2-2-2-2-2-1-1-11−3i321+3i32111−1+3i32−1−3i32111−1+3i32−1−3i32000000000000000000000000000
χ12944-2-2-2-44-4-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i32222-2-2-2222-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32000000000000000000000000000-4-42224-44222-1-1-11+3i321−3i32-1-1-11+3i321−3i32-2-2-2222-2-2-2111−1−3i32−1+3i32-1-1-11+3i321−3i32111−1−3i32−1+3i32000000000000000000000000000
χ13044-2-2-2-44-4-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i32222-2-2-2222-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32000000000000000000000000000-4-42224-44222-1-1-11−3i321+3i32-1-1-11−3i321+3i32-2-2-2222-2-2-2111−1+3i32−1−3i32-1-1-11−3i321+3i32111−1+3i32−1−3i32000000000000000000000000000
χ13144-2-2-2-4-44-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i32222222-2-2-2-1-1-11+3i321−3i32-1-1-11+3i321−3i32111−1−3i32−1+3i32000000000000000000000000000-4-422244-4222-1-1-11+3i321−3i32-1-1-11+3i321−3i32-2-2-2-2-2-2222111−1−3i32−1+3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32000000000000000000000000000
χ13244-2-2-2-4-44-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i32222222-2-2-2-1-1-11−3i321+3i32-1-1-11−3i321+3i32111−1+3i32−1−3i32000000000000000000000000000-4-422244-4222-1-1-11−3i321+3i32-1-1-11−3i321+3i32-2-2-2-2-2-2222111−1+3i32−1−3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32000000000000000000000000000
χ1334-4444000-4-4-444444-4-4-4-4-4000000000000000000000000000000000000000000000000000-44-4-4-4000444-4-4-4-4-444444000000000000000000000000000000000000000000000000000
χ1344-444-2000-4-424-2-2-2-2-42222000000000000000000000000000000000000000023−23000000000-44-4-4200044-2-422224-2-2-2-20000000000000000000000000000000000000000−2323000000000
χ1354-444-2000-4-424-2-2-2-2-422220000000000000000000000000000000000000000−2323000000000-44-4-4200044-2-422224-2-2-2-2000000000000000000000000000000000000000023−23000000000
χ1364-44-24000-42-4-24-2-2-22-42220000000000000000000000000000000000000023−2300000000000-44-42-40004-242-4222-24-2-2-200000000000000000000000000000000000000−232300000000000
χ1374-44-24000-42-4-24-2-2-22-422200000000000000000000000000000000000000−232300000000000-44-42-40004-242-4222-24-2-2-20000000000000000000000000000000000000023−2300000000000
χ1384-4-2440002-4-4-2-24-2-222-42200000000000000000000000000000000000023−230000000000000-442-4-4000-24422-422-2-24-2-2000000000000000000000000000000000000−23230000000000000
χ1394-4-2440002-4-4-2-24-2-222-422000000000000000000000000000000000000−23230000000000000-442-4-4000-24422-422-2-24-2-200000000000000000000000000000000000023−230000000000000
χ1408-88-4-4000-844-4-422244-2-2-2000000000000000000000000000000000000000000000000000-88-8440008-4-444-2-2-2-4-4222000000000000000000000000000000000000000000000000000
χ1418-8-48-40004-84-42-4224-24-2-2000000000000000000000000000000000000000000000000000-884-84000-48-44-24-2-2-42-422000000000000000000000000000000000000000000000000000
χ1428-8-4-4800044-82-4-422-244-2-2000000000000000000000000000000000000000000000000000-8844-8000-4-48-244-2-22-4-422000000000000000000000000000000000000000000000000000
χ1438-8-4-4-4000444222−1−3i3−1+3i3-2-2-21+3i31−3i3000000000000000000000000000000000000000000000000000-88444000-4-4-4-2-2-21+3i31−3i3222−1−3i3−1+3i3000000000000000000000000000000000000000000000000000
χ1448-8-4-4-4000444222−1+3i3−1−3i3-2-2-21−3i31+3i3000000000000000000000000000000000000000000000000000-88444000-4-4-4-2-2-21−3i31+3i3222−1+3i3−1−3i3000000000000000000000000000000000000000000000000000

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