Finite Group Databasebeta

← Group #13177385

Character table — Group #13177385

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222244444444666612122222444444888888881212121224242222444444888888881212121224242222444444888888881212121224242222444444888888881212121224249999181818181818363636363636363654545454108108
order12223446662266661212444444366631212666666666121212121212121236663121266666666612121212121212123666312126666666661212121212121212366631212666666666121212121212121222226446662266661212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1
χ31111111111-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1111111-1-1
χ41111111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-111
χ511111-1-11111-111-1-1-1-111-1-11-111111-1-11111-111-1-1-1-111-1-11-111111-1-11111-111-1-1-1-111-1-11-111111-1-11111-111-1-1-1-111-1-11-111111-1-11111-111-1-1-1-111-1-11-111111-1-11111-111-1-1-1-111-1-11-1
χ611111-1-11111-111-1-1-1-1-1-111-1111111-1-11111-111-1-1-1-1-1-111-1111111-1-11111-111-1-1-1-1-1-111-1111111-1-11111-111-1-1-1-1-1-111-1111111-1-11111-111-1-1-1-1-1-111-1111111-1-11111-111-1-1-1-1-1-111-11
χ711111-1-1111-11-1-111-1-111-1-1-1111111-1-1111-11-1-111-1-111-1-1-1111111-1-1111-11-1-111-1-111-1-1-1111111-1-1111-11-1-111-1-111-1-1-1111111-1-1111-11-1-111-1-111-1-1-1111111-1-1111-11-1-111-1-111-1-1-11
χ811111-1-1111-11-1-111-1-1-1-1111-111111-1-1111-11-1-111-1-1-1-1111-111111-1-1111-11-1-111-1-1-1-1111-111111-1-1111-11-1-111-1-1-1-1111-111111-1-1111-11-1-111-1-1-1-1111-111111-1-1111-11-1-111-1-1-1-1111-1
χ92222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-1000000
χ102222-122-1-1-1-2-21111-1-10000002222-122-1-1-1-2-21111-1-10000002222-122-1-1-1-2-21111-1-10000002222-122-1-1-1-2-21111-1-10000002222-122-1-1-1-2-21111-1-10000002222-122-1-1-1-2-21111-1-1000000
χ112222-1-2-2-1-1-12-2-1-111110000002222-1-2-2-1-1-12-2-1-111110000002222-1-2-2-1-1-12-2-1-111110000002222-1-2-2-1-1-12-2-1-111110000002222-1-2-2-1-1-12-2-1-111110000002222-1-2-2-1-1-12-2-1-11111000000
χ122222-1-2-2-1-1-1-2211-1-1110000002222-1-2-2-1-1-1-2211-1-1110000002222-1-2-2-1-1-1-2211-1-1110000002222-1-2-2-1-1-1-2211-1-1110000002222-1-2-2-1-1-1-2211-1-1110000002222-1-2-2-1-1-1-2211-1-111000000
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χ1422-2-22002-2-20000000000−2i2i0022-2-22002-2-20000000000−2i2i0022-2-22002-2-20000000000−2i2i0022-2-22002-2-20000000000−2i2i0022-2-22002-2-20000000000−2i2i0022-2-22002-2-20000000000−2i2i00
χ152-22-2200-22-2000000002i−2i00002-22-2200-22-2000000002i−2i00002-22-2200-22-2000000002i−2i00002-22-2200-22-2000000002i−2i00002-22-2200-22-2000000002i−2i00002-22-2200-22-2000000002i−2i0000
χ162-22-2200-22-200000000−2i2i00002-22-2200-22-200000000−2i2i00002-22-2200-22-200000000−2i2i00002-22-2200-22-200000000−2i2i00002-22-2200-22-200000000−2i2i00002-22-2200-22-200000000−2i2i0000
χ172-2-2222-2-2-220000002-20000002-2-2222-2-2-220000002-20000002-2-2222-2-2-220000002-20000002-2-2222-2-2-220000002-20000002-2-2222-2-2-220000002-20000002-2-2222-2-2-220000002-2000000
χ182-2-222-22-2-22000000-220000002-2-222-22-2-22000000-220000002-2-222-22-2-22000000-220000002-2-222-22-2-22000000-220000002-2-222-22-2-22000000-220000002-2-222-22-2-22000000-22000000
χ192-2-22-12-211-100−i3i3−i3i3-110000002-2-22-12-211-100−i3i3−i3i3-110000002-2-22-12-211-100−i3i3−i3i3-110000002-2-22-12-211-100−i3i3−i3i3-110000002-2-22-12-211-100−i3i3−i3i3-110000002-2-22-12-211-100−i3i3−i3i3-11000000
χ202-2-22-12-211-100i3−i3i3−i3-110000002-2-22-12-211-100i3−i3i3−i3-110000002-2-22-12-211-100i3−i3i3−i3-110000002-2-22-12-211-100i3−i3i3−i3-110000002-2-22-12-211-100i3−i3i3−i3-110000002-2-22-12-211-100i3−i3i3−i3-11000000
χ212-2-22-1-2211-100−i3i3i3−i31-10000002-2-22-1-2211-100−i3i3i3−i31-10000002-2-22-1-2211-100−i3i3i3−i31-10000002-2-22-1-2211-100−i3i3i3−i31-10000002-2-22-1-2211-100−i3i3i3−i31-10000002-2-22-1-2211-100−i3i3i3−i31-1000000
χ222-2-22-1-2211-100i3−i3−i3i31-10000002-2-22-1-2211-100i3−i3−i3i31-10000002-2-22-1-2211-100i3−i3−i3i31-10000002-2-22-1-2211-100i3−i3−i3i31-10000002-2-22-1-2211-100i3−i3−i3i31-10000002-2-22-1-2211-100i3−i3−i3i31-1000000
χ2344-4-4-200-2220000000000000044-4-4-200-2220000000000000044-4-4-200-2220000000000000044-4-4-200-2220000000000000044-4-4-200-2220000000000000044-4-4-200-22200000000000000
χ244-44-4-2002-22000000000000004-44-4-2002-22000000000000004-44-4-2002-22000000000000004-44-4-2002-22000000000000004-44-4-2002-22000000000000004-44-4-2002-2200000000000000
χ25111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ26111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ271111111111-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111
χ281111111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ2911111-1-11111-111-1-1-1-111-1-11-111111-1-11111-111-1-1-1-111-1-11-111111-1-11111-111-1-1-1-111-1-11-111111-1-11111-111-1-1-1-111-1-11-111111-1-11111-111-1-1-1-111-1-11-1-1-1-1-1-111-1-1-1-11-1-11111-1-111-11
χ3011111-1-11111-111-1-1-1-1-1-111-1111111-1-11111-111-1-1-1-1-1-111-1111111-1-11111-111-1-1-1-1-1-111-1111111-1-11111-111-1-1-1-1-1-111-1111111-1-11111-111-1-1-1-1-1-111-11-1-1-1-1-111-1-1-1-11-1-1111111-1-11-1
χ3111111-1-1111-11-1-111-1-111-1-1-1111111-1-1111-11-1-111-1-111-1-1-1111111-1-1111-11-1-111-1-111-1-1-1111111-1-1111-11-1-111-1-111-1-1-1111111-1-1111-11-1-111-1-111-1-1-11-1-1-1-1-111-1-1-11-111-1-111-1-1111-1
χ3211111-1-1111-11-1-111-1-1-1-1111-111111-1-1111-11-1-111-1-1-1-1111-111111-1-1111-11-1-111-1-1-1-1111-111111-1-1111-11-1-111-1-1-1-1111-111111-1-1111-11-1-111-1-1-1-1111-1-1-1-1-1-111-1-1-11-111-1-11111-1-1-11
χ332222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-1000000-2-2-2-21-2-2111-2-2111111000000
χ342222-122-1-1-1-2-21111-1-10000002222-122-1-1-1-2-21111-1-10000002222-122-1-1-1-2-21111-1-10000002222-122-1-1-1-2-21111-1-10000002222-122-1-1-1-2-21111-1-1000000-2-2-2-21-2-211122-1-1-1-111000000
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χ412-2-2222-2-2-220000002-20000002-2-2222-2-2-220000002-20000002-2-2222-2-2-220000002-20000002-2-2222-2-2-220000002-20000002-2-2222-2-2-220000002-2000000-222-2-2-2222-2000000-22000000
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χ432-2-22-12-211-100−i3i3−i3i3-110000002-2-22-12-211-100−i3i3−i3i3-110000002-2-22-12-211-100−i3i3−i3i3-110000002-2-22-12-211-100−i3i3−i3i3-110000002-2-22-12-211-100−i3i3−i3i3-11000000-222-21-22-1-1100i3−i3i3−i31-1000000
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χ594444-2-4-4-2-2-24-4-2-222220000004444-2-4-4-2-2-24-4-2-22222000000-2-2-2-2122111-2211-1-1-1-1000000-2-2-2-2122111-2211-1-1-1-1000000-2-2-2-2122111-2211-1-1-1-1000000000000000000000000000000
χ604444-2-4-4-2-2-2-4422-2-2220000004444-2-4-4-2-2-2-4422-2-222000000-2-2-2-21221112-2-1-111-1-1000000-2-2-2-21221112-2-1-111-1-1000000-2-2-2-21221112-2-1-111-1-1000000000000000000000000000000
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χ1354-44-4400-44-4000000004i−4i0000-22-22-2002-2200000000−2i2i0000-22-22-2002-2200000000−2i2i0000-22-22-2002-2200000000−2i2i00004-44-4400-44-4000000004i−4i0000000000000000000000000000
χ1364-44-4400-44-400000000−4i4i0000-22-22-2002-22000000002i−2i0000-22-22-2002-22000000002i−2i0000-22-22-2002-22000000002i−2i00004-44-4400-44-400000000−4i4i0000000000000000000000000000
χ1374-4-4444-4-4-440000004-4000000-222-2-2-2222-2000000-22000000-222-2-2-2222-2000000-22000000-222-2-2-2222-2000000-220000004-4-4444-4-4-440000004-4000000000000000000000000000000
χ1384-4-444-44-4-44000000-44000000-222-2-22-222-20000002-2000000-222-2-22-222-20000002-2000000-222-2-22-222-20000002-20000004-4-444-44-4-44000000-44000000000000000000000000000000
χ1394-4-44-24-422-200−2i32i3−2i32i3-22000000-222-21-22-1-1100i3−i3i3−i31-1000000-222-21-22-1-1100i3−i3i3−i31-1000000-222-21-22-1-1100i3−i3i3−i31-10000004-4-44-24-422-200−2i32i3−2i32i3-22000000000000000000000000000000
χ1404-4-44-24-422-2002i3−2i32i3−2i3-22000000-222-21-22-1-1100−i3i3−i3i31-1000000-222-21-22-1-1100−i3i3−i3i31-1000000-222-21-22-1-1100−i3i3−i3i31-10000004-4-44-24-422-2002i3−2i32i3−2i3-22000000000000000000000000000000
χ1414-4-44-2-4422-200−2i32i32i3−2i32-2000000-222-212-2-1-1100i3−i3−i3i3-11000000-222-212-2-1-1100i3−i3−i3i3-11000000-222-212-2-1-1100i3−i3−i3i3-110000004-4-44-2-4422-200−2i32i32i3−2i32-2000000000000000000000000000000
χ1424-4-44-2-4422-2002i3−2i3−2i32i32-2000000-222-212-2-1-1100−i3i3i3−i3-11000000-222-212-2-1-1100−i3i3i3−i3-11000000-222-212-2-1-1100−i3i3i3−i3-110000004-4-44-2-4422-2002i3−2i3−2i32i32-2000000000000000000000000000000
χ14388-8-8-400-44400000000000000-4-4442002-2-200000000000000-4-4442002-2-200000000000000-4-4442002-2-20000000000000088-8-8-400-44400000000000000000000000000000000000000
χ1448-88-8-4004-4400000000000000-44-44200-22-200000000000000-44-44200-22-200000000000000-44-44200-22-2000000000000008-88-8-4004-4400000000000000000000000000000000000000

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