Finite Group Databasebeta

← Group #13164758

Character table — Group #13164758

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size112222222222244444466666666224444444444488888812121212121212122244444444444888888121212121212121222444444444448888881212121212121212224444444444488888812121212121212129918181818181818181818183636363636365454545454545454
order1223444444666121212121212222244443663121212121212666121212121212666612121212918189363636363636181818363636363636181818183636363691818936363636363618181836363636363618181818363636369181893636363636361818183636363636361818181836363636222644444466612121212121222224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1
χ3111111-1-1-1-111111-1-1-1-111-1-111-1-1111111-1-1-1-111111-1-1-1-111-1-111-1-1111111-1-1-1-111111-1-1-1-111-1-111-1-1111111-1-1-1-111111-1-1-1-111-1-111-1-1111111-1-1-1-111111-1-1-1-111-1-111-1-1111111-1-1-1-111111-1-1-1-111-1-111-1-1
χ4111111-1-1-1-111111-1-1-1-1-1-111-1-111111111-1-1-1-111111-1-1-1-1-1-111-1-111111111-1-1-1-111111-1-1-1-1-1-111-1-111111111-1-1-1-111111-1-1-1-1-1-111-1-111111111-1-1-1-111111-1-1-1-1-1-111-1-111111111-1-1-1-111111-1-1-1-1-1-111-1-111
χ51111-1-111-1-1111-1-111-1-11-11-11-11-11111-1-111-1-1111-1-111-1-11-11-11-11-11111-1-111-1-1111-1-111-1-11-11-11-11-11111-1-111-1-1111-1-111-1-11-11-11-11-11111-1-111-1-1111-1-111-1-11-11-11-11-11111-1-111-1-1111-1-111-1-11-11-11-11-1
χ61111-1-111-1-1111-1-111-1-1-11-11-11-111111-1-111-1-1111-1-111-1-1-11-11-11-111111-1-111-1-1111-1-111-1-1-11-11-11-111111-1-111-1-1111-1-111-1-1-11-11-11-111111-1-111-1-1111-1-111-1-1-11-11-11-111111-1-111-1-1111-1-111-1-1-11-11-11-11
χ71111-1-1-1-111111-1-1-1-1111-1-111-1-111111-1-1-1-111111-1-1-1-1111-1-111-1-111111-1-1-1-111111-1-1-1-1111-1-111-1-111111-1-1-1-111111-1-1-1-1111-1-111-1-111111-1-1-1-111111-1-1-1-1111-1-111-1-111111-1-1-1-111111-1-1-1-1111-1-111-1-11
χ81111-1-1-1-111111-1-1-1-111-111-1-111-11111-1-1-1-111111-1-1-1-111-111-1-111-11111-1-1-1-111111-1-1-1-111-111-1-111-11111-1-1-1-111111-1-1-1-111-111-1-111-11111-1-1-1-111111-1-1-1-111-111-1-111-11111-1-1-1-111111-1-1-1-111-111-1-111-1
χ911-111-11-11-1-1-111-11-11-1111-1-1-1-1111-111-11-11-1-1-111-11-11-1111-1-1-1-1111-111-11-11-1-1-111-11-11-1111-1-1-1-1111-111-11-11-1-1-111-11-11-1111-1-1-1-1111-111-11-11-1-1-111-11-11-1111-1-1-1-1111-111-11-11-1-1-111-11-11-1111-1-1-1-11
χ1011-111-11-11-1-1-111-11-11-1-1-1-11111-111-111-11-11-1-1-111-11-11-1-1-1-11111-111-111-11-11-1-1-111-11-11-1-1-1-11111-111-111-11-11-1-1-111-11-11-1-1-1-11111-111-111-11-11-1-1-111-11-11-1-1-1-11111-111-111-11-11-1-1-111-11-11-1-1-1-11111-1
χ1111-111-1-11-11-1-111-1-11-1111-11-1-11-111-111-1-11-11-1-111-1-11-1111-11-1-11-111-111-1-11-11-1-111-1-11-1111-11-1-11-111-111-1-11-11-1-111-1-11-1111-11-1-11-111-111-1-11-11-1-111-1-11-1111-11-1-11-111-111-1-11-11-1-111-1-11-1111-11-1-11-1
χ1211-111-1-11-11-1-111-1-11-11-1-11-111-1111-111-1-11-11-1-111-1-11-11-1-11-111-1111-111-1-11-11-1-111-1-11-11-1-11-111-1111-111-1-11-11-1-111-1-11-11-1-11-111-1111-111-1-11-11-1-111-1-11-11-1-11-111-1111-111-1-11-11-1-111-1-11-11-1-11-111-11
χ1311-11-111-1-11-1-11-111-1-111-111-11-1-111-11-111-1-11-1-11-111-1-111-111-11-1-111-11-111-1-11-1-11-111-1-111-111-11-1-111-11-111-1-11-1-11-111-1-111-111-11-1-111-11-111-1-11-1-11-111-1-111-111-11-1-111-11-111-1-11-1-11-111-1-111-111-11-1-1
χ1411-11-111-1-11-1-11-111-1-11-11-1-11-11111-11-111-1-11-1-11-111-1-11-11-1-11-11111-11-111-1-11-1-11-111-1-11-11-1-11-11111-11-111-1-11-1-11-111-1-11-11-1-11-11111-11-111-1-11-1-11-111-1-11-11-1-11-11111-11-111-1-11-1-11-111-1-11-11-1-11-111
χ1511-11-11-111-1-1-11-11-111-11-1-1-1-111111-11-11-111-1-1-11-11-111-11-1-1-1-111111-11-11-111-1-1-11-11-111-11-1-1-1-111111-11-11-111-1-1-11-11-111-11-1-1-1-111111-11-11-111-1-1-11-11-111-11-1-1-1-111111-11-11-111-1-1-11-11-111-11-1-1-1-1111
χ1611-11-11-111-1-1-11-11-111-1-11111-1-1-111-11-11-111-1-1-11-11-111-1-11111-1-1-111-11-11-111-1-1-11-11-111-1-11111-1-1-111-11-11-111-1-1-11-11-111-1-11111-1-1-111-11-11-111-1-1-11-11-111-1-11111-1-1-111-11-11-111-1-1-11-11-111-1-11111-1-1-1
χ17222-1222222-1-1-1-1-1-1-1-1-100000000222-1222222-1-1-1-1-1-1-1-1-100000000222-1222222-1-1-1-1-1-1-1-1-100000000222-1222222-1-1-1-1-1-1-1-1-100000000222-1222222-1-1-1-1-1-1-1-1-100000000222-1222222-1-1-1-1-1-1-1-1-100000000
χ18222-122-2-2-2-2-1-1-1-1-1111100000000222-122-2-2-2-2-1-1-1-1-1111100000000222-122-2-2-2-2-1-1-1-1-1111100000000222-122-2-2-2-2-1-1-1-1-1111100000000222-122-2-2-2-2-1-1-1-1-1111100000000222-122-2-2-2-2-1-1-1-1-1111100000000
χ19222-1-2-222-2-2-1-1-111-1-11100000000222-1-2-222-2-2-1-1-111-1-11100000000222-1-2-222-2-2-1-1-111-1-11100000000222-1-2-222-2-2-1-1-111-1-11100000000222-1-2-222-2-2-1-1-111-1-11100000000222-1-2-222-2-2-1-1-111-1-11100000000
χ20222-1-2-2-2-222-1-1-11111-1-100000000222-1-2-2-2-222-1-1-11111-1-100000000222-1-2-2-2-222-1-1-11111-1-100000000222-1-2-2-2-222-1-1-11111-1-100000000222-1-2-2-2-222-1-1-11111-1-100000000222-1-2-2-2-222-1-1-11111-1-100000000
χ2122-2-12-22-22-211-1-11-11-110000000022-2-12-22-22-211-1-11-11-110000000022-2-12-22-22-211-1-11-11-110000000022-2-12-22-22-211-1-11-11-110000000022-2-12-22-22-211-1-11-11-110000000022-2-12-22-22-211-1-11-11-1100000000
χ2222-2-12-2-22-2211-1-111-11-10000000022-2-12-2-22-2211-1-111-11-10000000022-2-12-2-22-2211-1-111-11-10000000022-2-12-2-22-2211-1-111-11-10000000022-2-12-2-22-2211-1-111-11-10000000022-2-12-2-22-2211-1-111-11-100000000
χ2322-2-1-222-2-2211-11-1-111-10000000022-2-1-222-2-2211-11-1-111-10000000022-2-1-222-2-2211-11-1-111-10000000022-2-1-222-2-2211-11-1-111-10000000022-2-1-222-2-2211-11-1-111-10000000022-2-1-222-2-2211-11-1-111-100000000
χ2422-2-1-22-222-211-11-11-1-110000000022-2-1-22-222-211-11-11-1-110000000022-2-1-22-222-211-11-11-1-110000000022-2-1-22-222-211-11-11-1-110000000022-2-1-22-222-211-11-11-1-110000000022-2-1-22-222-211-11-11-1-1100000000
χ254-40400000000-4000000000000004-40400000000-4000000000000004-40400000000-4000000000000004-40400000000-4000000000000004-40400000000-4000000000000004-40400000000-400000000000000
χ264-40-20000002i3−2i32000000000000004-40-20000002i3−2i32000000000000004-40-20000002i3−2i32000000000000004-40-20000002i3−2i32000000000000004-40-20000002i3−2i32000000000000004-40-20000002i3−2i3200000000000000
χ274-40-2000000−2i32i32000000000000004-40-2000000−2i32i32000000000000004-40-2000000−2i32i32000000000000004-40-2000000−2i32i32000000000000004-40-2000000−2i32i32000000000000004-40-2000000−2i32i3200000000000000
χ28111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ291111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ30111111-1-1-1-111111-1-1-1-111-1-111-1-1111111-1-1-1-111111-1-1-1-111-1-111-1-1111111-1-1-1-111111-1-1-1-111-1-111-1-1111111-1-1-1-111111-1-1-1-111-1-111-1-1111111-1-1-1-111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-111-1-111
χ31111111-1-1-1-111111-1-1-1-1-1-111-1-111111111-1-1-1-111111-1-1-1-1-1-111-1-111111111-1-1-1-111111-1-1-1-1-1-111-1-111111111-1-1-1-111111-1-1-1-1-1-111-1-111111111-1-1-1-111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1111111-1-111-1-1
χ321111-1-111-1-1111-1-111-1-11-11-11-11-11111-1-111-1-1111-1-111-1-11-11-11-11-11111-1-111-1-1111-1-111-1-11-11-11-11-11111-1-111-1-1111-1-111-1-11-11-11-11-11111-1-111-1-1111-1-111-1-11-11-11-11-1-1-1-1-111-1-111-1-1-111-1-111-11-11-11-11
χ331111-1-111-1-1111-1-111-1-1-11-11-11-111111-1-111-1-1111-1-111-1-1-11-11-11-111111-1-111-1-1111-1-111-1-1-11-11-11-111111-1-111-1-1111-1-111-1-1-11-11-11-111111-1-111-1-1111-1-111-1-1-11-11-11-11-1-1-1-111-1-111-1-1-111-1-1111-11-11-11-1
χ341111-1-1-1-111111-1-1-1-1111-1-111-1-111111-1-1-1-111111-1-1-1-1111-1-111-1-111111-1-1-1-111111-1-1-1-1111-1-111-1-111111-1-1-1-111111-1-1-1-1111-1-111-1-111111-1-1-1-111111-1-1-1-1111-1-111-1-11-1-1-1-11111-1-1-1-1-11111-1-1-111-1-111-1
χ351111-1-1-1-111111-1-1-1-111-111-1-111-11111-1-1-1-111111-1-1-1-111-111-1-111-11111-1-1-1-111111-1-1-1-111-111-1-111-11111-1-1-1-111111-1-1-1-111-111-1-111-11111-1-1-1-111111-1-1-1-111-111-1-111-1-1-1-1-11111-1-1-1-1-11111-1-11-1-111-1-11
χ3611-111-11-11-1-1-111-11-11-1111-1-1-1-1111-111-11-11-1-1-111-11-11-1111-1-1-1-1111-111-11-11-1-1-111-11-11-1111-1-1-1-1111-111-11-11-1-1-111-11-11-1111-1-1-1-1111-111-11-11-1-1-111-11-11-1111-1-1-1-11-1-11-1-11-11-1111-1-11-11-11-1-1-11111-1
χ3711-111-11-11-1-1-111-11-11-1-1-1-11111-111-111-11-11-1-1-111-11-11-1-1-1-11111-111-111-11-11-1-1-111-11-11-1-1-1-11111-111-111-11-11-1-1-111-11-11-1-1-1-11111-111-111-11-11-1-1-111-11-11-1-1-1-11111-1-1-11-1-11-11-1111-1-11-11-11111-1-1-1-11
χ3811-111-1-11-11-1-111-1-11-1111-11-1-11-111-111-1-11-11-1-111-1-11-1111-11-1-11-111-111-1-11-11-1-111-1-11-1111-11-1-11-111-111-1-11-11-1-111-1-11-1111-11-1-11-111-111-1-11-11-1-111-1-11-1111-11-1-11-1-1-11-1-111-11-111-1-111-11-1-1-11-111-11
χ3911-111-1-11-11-1-111-1-11-11-1-11-111-1111-111-1-11-11-1-111-1-11-11-1-11-111-1111-111-1-11-11-1-111-1-11-11-1-11-111-1111-111-1-11-11-1-111-1-11-11-1-11-111-1111-111-1-11-11-1-111-1-11-11-1-11-111-11-1-11-1-111-11-111-1-111-11-111-11-1-11-1
χ4011-11-111-1-11-1-11-111-1-111-111-11-1-111-11-111-1-11-1-11-111-1-111-111-11-1-111-11-111-1-11-1-11-111-1-111-111-11-1-111-11-111-1-11-1-11-111-1-111-111-11-1-111-11-111-1-11-1-11-111-1-111-111-11-1-1-1-11-11-1-111-111-11-1-111-1-11-1-11-111
χ4111-11-111-1-11-1-11-111-1-11-11-1-11-11111-11-111-1-11-1-11-111-1-11-11-1-11-11111-11-111-1-11-1-11-111-1-11-11-1-11-11111-11-111-1-11-1-11-111-1-11-11-1-11-11111-11-111-1-11-1-11-111-1-11-11-1-11-111-1-11-11-1-111-111-11-1-111-11-111-11-1-1
χ4211-11-11-111-1-1-11-11-111-11-1-1-1-111111-11-11-111-1-1-11-11-111-11-1-1-1-111111-11-11-111-1-1-11-11-111-11-1-1-1-111111-11-11-111-1-1-11-11-111-11-1-1-1-111111-11-11-111-1-1-11-11-111-11-1-1-1-1111-1-11-11-11-1-1111-11-11-1-11-11111-1-1-1
χ4311-11-11-111-1-1-11-11-111-1-11111-1-1-111-11-11-111-1-1-11-11-111-1-11111-1-1-111-11-11-111-1-1-11-11-111-1-11111-1-1-111-11-11-111-1-1-11-11-111-1-11111-1-1-111-11-11-111-1-1-11-11-111-1-11111-1-1-1-1-11-11-11-1-1111-11-11-1-111-1-1-1-1111
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χ46222-1-2-222-2-2-1-1-111-1-11100000000222-1-2-222-2-2-1-1-111-1-11100000000222-1-2-222-2-2-1-1-111-1-11100000000222-1-2-222-2-2-1-1-111-1-11100000000222-1-2-222-2-2-1-1-111-1-11100000000-2-2-2122-2-222111-1-111-1-100000000
χ47222-1-2-2-2-222-1-1-11111-1-100000000222-1-2-2-2-222-1-1-11111-1-100000000222-1-2-2-2-222-1-1-11111-1-100000000222-1-2-2-2-222-1-1-11111-1-100000000222-1-2-2-2-222-1-1-11111-1-100000000-2-2-212222-2-2111-1-1-1-11100000000
χ4822-2-12-22-22-211-1-11-11-110000000022-2-12-22-22-211-1-11-11-110000000022-2-12-22-22-211-1-11-11-110000000022-2-12-22-22-211-1-11-11-110000000022-2-12-22-22-211-1-11-11-1100000000-2-221-22-22-22-1-111-11-11-100000000
χ4922-2-12-2-22-2211-1-111-11-10000000022-2-12-2-22-2211-1-111-11-10000000022-2-12-2-22-2211-1-111-11-10000000022-2-12-2-22-2211-1-111-11-10000000022-2-12-2-22-2211-1-111-11-100000000-2-221-222-22-2-1-111-1-11-1100000000
χ5022-2-1-222-2-2211-11-1-111-10000000022-2-1-222-2-2211-11-1-111-10000000022-2-1-222-2-2211-11-1-111-10000000022-2-1-222-2-2211-11-1-111-10000000022-2-1-222-2-2211-11-1-111-100000000-2-2212-2-222-2-1-11-111-1-1100000000
χ5122-2-1-22-222-211-11-11-1-110000000022-2-1-22-222-211-11-11-1-110000000022-2-1-22-222-211-11-11-1-110000000022-2-1-22-222-211-11-11-1-110000000022-2-1-22-222-211-11-11-1-1100000000-2-2212-22-2-22-1-11-11-111-100000000
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χ15944-4-2-44-444-422-22-22-2-2200000000-2-2212-22-2-22-1-11-11-111-1000000002ζ4+2ζ52ζ4+2ζ5−2ζ4−2ζ5−ζ4−ζ5−2ζ4−2ζ52ζ4+2ζ5−2ζ4−2ζ52ζ4+2ζ52ζ4+2ζ5−2ζ4−2ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ5000000002ζ+2ζ82ζ+2ζ8−2ζ−2ζ8−ζ−ζ8−2ζ−2ζ82ζ+2ζ8−2ζ−2ζ82ζ+2ζ82ζ+2ζ8−2ζ−2ζ8ζ+ζ8ζ+ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8000000002ζ2+2ζ72ζ2+2ζ7−2ζ2−2ζ7−ζ2−ζ7−2ζ2−2ζ72ζ2+2ζ7−2ζ2−2ζ72ζ2+2ζ72ζ2+2ζ7−2ζ2−2ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ700000000000000000000000000000000000
χ1608-80800000000-800000000000000-440-4000000004000000000000004ζ4+4ζ5−4ζ4−4ζ504ζ4+4ζ500000000−4ζ4−4ζ5000000000000004ζ+4ζ8−4ζ−4ζ804ζ+4ζ800000000−4ζ−4ζ8000000000000004ζ2+4ζ7−4ζ2−4ζ704ζ2+4ζ700000000−4ζ2−4ζ700000000000000000000000000000000000000000
χ1618-80-40000004i3−4i3400000000000000-4402000000−2i32i3-2000000000000004ζ4+4ζ5−4ζ4−4ζ50−2ζ4−2ζ5000000−4ζ−4ζ2−2ζ4−2ζ54ζ+4ζ2+2ζ4+2ζ52ζ4+2ζ5000000000000004ζ+4ζ8−4ζ−4ζ80−2ζ−2ζ80000002ζ+2ζ2+4ζ4−2ζ5−2ζ−2ζ2−4ζ4+2ζ52ζ+2ζ8000000000000004ζ2+4ζ7−4ζ2−4ζ70−2ζ2−2ζ70000002ζ+2ζ2−2ζ4+4ζ5−2ζ−2ζ2+2ζ4−4ζ52ζ2+2ζ700000000000000000000000000000000000000000
χ1628-80-4000000−4i34i3400000000000000-44020000002i3−2i3-2000000000000004ζ4+4ζ5−4ζ4−4ζ50−2ζ4−2ζ50000004ζ+4ζ2+2ζ4+2ζ5−4ζ−4ζ2−2ζ4−2ζ52ζ4+2ζ5000000000000004ζ+4ζ8−4ζ−4ζ80−2ζ−2ζ8000000−2ζ−2ζ2−4ζ4+2ζ52ζ+2ζ2+4ζ4−2ζ52ζ+2ζ8000000000000004ζ2+4ζ7−4ζ2−4ζ70−2ζ2−2ζ7000000−2ζ−2ζ2+2ζ4−4ζ52ζ+2ζ2−2ζ4+4ζ52ζ2+2ζ700000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.