Finite Group Databasebeta

← Group #13155962

Character table — Group #13155962

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size112222222222222444444444444444444444448888888888881212121212121212121212121212121212121212242424242424242424242424242424242436367272727272727272108108
order122333446666612123336666666661212121212121212121212366661212121212121244441212121212121212121212121212121281212121212121212242424242424242424468121212242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-111111111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-11-1-1-111-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-11-11-1-1-1-111
χ511111111111111111111111111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-11111111111-11-11-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-11-1-1-111-1-111
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
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χ88888-4-4-4-8-8-4-4-4-4-444222-42222-4222444-2-2-2-24-2-24-12-1-1-1-2-2-211110000000000000000000000000000000000000000000000000
χ8988-8-4-4-48-844-4-4-4-4-42224-2-2224-2-224-4422-2-2-4224-1-211-1-22-2-1-1110000000000000000000000000000000000000000000000000
χ9088-8-4-4-4-8844-4-4-4442224-2-2224-2-22-44-4-2-2224-2-2-4-1-211-12-2211-1-10000000000000000000000000000000000000000000000000
χ918-808-4800004-8-800-48-4000-84000400000000000-4000400000000000000000000000000000000000000000000000000000000
χ928-808-4-4000044-843−43-4-420004-2000400043−43000−232302000-2000−2323000000000000000000000000000000000000000000000000000
χ938-808-4-4000044-8−4343-4-420004-20004000−434300023−2302000-200023−23000000000000000000000000000000000000000000000000000
χ948-80-4-4800−4i34i34-84002-4-402i3−2i3440−4i34i3-200000000000202i3−2i3-200000000000000000000000000000000000000000000000000000000
χ958-80-4-48004i3−4i34-84002-4-40−2i32i34404i3−4i3-20000000000020−2i32i3-200000000000000000000000000000000000000000000000000000000
χ968-80-4-4-400−4i34i344443−4322202i3−2i3-2-202i3−2i3-2000−23236i−6i0−23230-10−i3i310003−3−3i3i0000000000000000000000000000000000000000000000000
χ978-80-4-4-400−4i34i3444−434322202i3−2i3-2-202i3−2i3-200023−23−6i6i023−230-10−i3i31000−333i−3i0000000000000000000000000000000000000000000000000
χ988-80-4-4-4004i3−4i344443−432220−2i32i3-2-20−2i32i3-2000−2323−6i6i0−23230-10i3−i310003−33i−3i0000000000000000000000000000000000000000000000000
χ998-80-4-4-4004i3−4i3444−43432220−2i32i3-2-20−2i32i3-200023−236i−6i023−230-10i3−i31000−33−3i3i0000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.