Finite Group Databasebeta

← Group #11808304

Character table — Group #11808304

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222244444444444444444412121212121212122222222244444444888888888888888888242424242424242433333333666666661212121212121212121212121212121212123636363636363636
order122222223666666644444412121212121212121212121222444444366666663666666612121212121212121212121212121212121266121212121212222222226666666644444412121212121212121212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ61111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1
χ71111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111
χ922222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000
χ1122222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000022222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000022222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100000000
χ1222222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000022222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000022222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100000000
χ13222-2-2-2-22222-2-22-2-22i−2i00002i2i−2i−2i0000000000000000222-2-2-2-22222-2-22-2-22i−2i00002i2i−2i−2i0000000000000000222-2-2-2-22222-2-22-2-22i−2i00002i2i−2i−2i0000000000000000
χ14222-2-2-2-22222-2-22-2-2−2i2i0000−2i−2i2i2i0000000000000000222-2-2-2-22222-2-22-2-2−2i2i0000−2i−2i2i2i0000000000000000222-2-2-2-22222-2-22-2-2−2i2i0000−2i−2i2i2i0000000000000000
χ15222-2-2-2-22-1-1-111-1112i−2i0000−i−iii33−3−3−i3−i3i3i300000000222-2-2-2-22-1-1-111-1112i−2i0000−i−iii33−3−3−i3−i3i3i300000000222-2-2-2-22-1-1-111-1112i−2i0000−i−iii33−3−3−i3−i3i3i300000000
χ16222-2-2-2-22-1-1-111-1112i−2i0000−i−iii−3−333i3i3−i3−i300000000222-2-2-2-22-1-1-111-1112i−2i0000−i−iii−3−333i3i3−i3−i300000000222-2-2-2-22-1-1-111-1112i−2i0000−i−iii−3−333i3i3−i3−i300000000
χ17222-2-2-2-22-1-1-111-111−2i2i0000ii−i−i33−3−3i3i3−i3−i300000000222-2-2-2-22-1-1-111-111−2i2i0000ii−i−i33−3−3i3i3−i3−i300000000222-2-2-2-22-1-1-111-111−2i2i0000ii−i−i33−3−3i3i3−i3−i300000000
χ18222-2-2-2-22-1-1-111-111−2i2i0000ii−i−i−3−333−i3−i3i3i300000000222-2-2-2-22-1-1-111-111−2i2i0000ii−i−i−3−333−i3−i3i3i300000000222-2-2-2-22-1-1-111-111−2i2i0000ii−i−i−3−333−i3−i3i3i300000000
χ1922-222-2-2-222-2-2-2-22200000000000000000000002i−2i0022-222-2-2-222-2-2-2-22200000000000000000000002i−2i0022-222-2-2-222-2-2-2-22200000000000000000000002i−2i00
χ2022-222-2-2-222-2-2-2-2220000000000000000000000−2i2i0022-222-2-2-222-2-2-2-2220000000000000000000000−2i2i0022-222-2-2-222-2-2-2-2220000000000000000000000−2i2i00
χ2122-2-2-222-222-222-2-2-20000000000000000000000002i−2i22-2-2-222-222-222-2-2-20000000000000000000000002i−2i22-2-2-222-222-222-2-2-20000000000000000000000002i−2i
χ2222-2-2-222-222-222-2-2-2000000000000000000000000−2i2i22-2-2-222-222-222-2-2-2000000000000000000000000−2i2i22-2-2-222-222-222-2-2-2000000000000000000000000−2i2i
χ232-222-22-2-22-222-2-22-2002i−2i0000002i−2i2i−2i0000000000002-222-22-2-22-222-2-22-2002i−2i0000002i−2i2i−2i0000000000002-222-22-2-22-222-2-22-2002i−2i0000002i−2i2i−2i000000000000
χ242-222-22-2-22-222-2-22-200−2i2i000000−2i2i−2i2i0000000000002-222-22-2-22-222-2-22-200−2i2i000000−2i2i−2i2i0000000000002-222-22-2-22-222-2-22-200−2i2i000000−2i2i−2i2i000000000000
χ252-222-22-2-2-11-1-111-11002i−2i00−i3i3−i3i3−ii−ii3−33−3000000002-222-22-2-2-11-1-111-11002i−2i00−i3i3−i3i3−ii−ii3−33−3000000002-222-22-2-2-11-1-111-11002i−2i00−i3i3−i3i3−ii−ii3−33−300000000
χ262-222-22-2-2-11-1-111-11002i−2i00i3−i3i3−i3−ii−ii−33−33000000002-222-22-2-2-11-1-111-11002i−2i00i3−i3i3−i3−ii−ii−33−33000000002-222-22-2-2-11-1-111-11002i−2i00i3−i3i3−i3−ii−ii−33−3300000000
χ272-222-22-2-2-11-1-111-1100−2i2i00−i3i3−i3i3i−ii−i−33−33000000002-222-22-2-2-11-1-111-1100−2i2i00−i3i3−i3i3i−ii−i−33−33000000002-222-22-2-2-11-1-111-1100−2i2i00−i3i3−i3i3i−ii−i−33−3300000000
χ282-222-22-2-2-11-1-111-1100−2i2i00i3−i3i3−i3i−ii−i3−33−3000000002-222-22-2-2-11-1-111-1100−2i2i00i3−i3i3−i3i−ii−i3−33−3000000002-222-22-2-2-11-1-111-1100−2i2i00i3−i3i3−i3i−ii−i3−33−300000000
χ292-22-22-22-22-22-22-2-2200002i−2i000000002i−2i−2i2i000000002-22-22-22-22-22-22-2-2200002i−2i000000002i−2i−2i2i000000002-22-22-22-22-22-22-2-2200002i−2i000000002i−2i−2i2i00000000
χ302-22-22-22-22-22-22-2-220000−2i2i00000000−2i2i2i−2i000000002-22-22-22-22-22-22-2-220000−2i2i00000000−2i2i2i−2i000000002-22-22-22-22-22-22-2-220000−2i2i00000000−2i2i2i−2i00000000
χ312-22-22-22-2-11-11-111-100002i−2i3−3−33i3−i3−i3i3−iii−i000000002-22-22-22-2-11-11-111-100002i−2i3−3−33i3−i3−i3i3−iii−i000000002-22-22-22-2-11-11-111-100002i−2i3−3−33i3−i3−i3i3−iii−i00000000
χ322-22-22-22-2-11-11-111-100002i−2i−333−3−i3i3i3−i3−iii−i000000002-22-22-22-2-11-11-111-100002i−2i−333−3−i3i3i3−i3−iii−i000000002-22-22-22-2-11-11-111-100002i−2i−333−3−i3i3i3−i3−iii−i00000000
χ332-22-22-22-2-11-11-111-10000−2i2i3−3−33−i3i3i3−i3i−i−ii000000002-22-22-22-2-11-11-111-10000−2i2i3−3−33−i3i3i3−i3i−i−ii000000002-22-22-22-2-11-11-111-10000−2i2i3−3−33−i3i3i3−i3i−i−ii00000000
χ342-22-22-22-2-11-11-111-10000−2i2i−333−3i3−i3−i3i3i−i−ii000000002-22-22-22-2-11-11-111-10000−2i2i−333−3i3−i3−i3i3i−i−ii000000002-22-22-22-2-11-11-111-10000−2i2i−333−3i3−i3−i3i3i−i−ii00000000
χ352-2-22-2-2222-2-2-2222-2000000000000000000002-200002-2-22-2-2222-2-2-2222-2000000000000000000002-200002-2-22-2-2222-2-2-2222-2000000000000000000002-20000
χ362-2-22-2-2222-2-2-2222-200000000000000000000-2200002-2-22-2-2222-2-2-2222-200000000000000000000-2200002-2-22-2-2222-2-2-2222-200000000000000000000-220000
χ372-2-2-222-222-2-22-22-220000000000000000002-20000002-2-2-222-222-2-22-22-220000000000000000002-20000002-2-2-222-222-2-22-22-220000000000000000002-2000000
χ382-2-2-222-222-2-22-22-22000000000000000000-220000002-2-2-222-222-2-22-22-22000000000000000000-220000002-2-2-222-222-2-22-22-22000000000000000000-22000000
χ3944-444-4-4-4-2-22222-2-20000000000000000000000000044-444-4-4-4-2-22222-2-20000000000000000000000000044-444-4-4-4-2-22222-2-200000000000000000000000000
χ4044-4-4-444-4-2-22-2-22220000000000000000000000000044-4-4-444-4-2-22-2-22220000000000000000000000000044-4-4-444-4-2-22-2-222200000000000000000000000000
χ414-4-44-4-444-2222-2-2-22000000000000000000000000004-4-44-4-444-2222-2-2-22000000000000000000000000004-4-44-4-444-2222-2-2-2200000000000000000000000000
χ424-4-4-444-44-222-22-22-2000000000000000000000000004-4-4-444-44-222-22-22-2000000000000000000000000004-4-4-444-44-222-22-22-200000000000000000000000000
χ43111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ441111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ45111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111
χ46111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1
χ471111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-11111-1-1
χ481111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-111
χ491111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-111
χ501111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-111-1-1
χ5122222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-211111111-2-2-2-2-2-211111111111100000000
χ5222222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000-2-2-2-2-2-2-2-211111111-2-222221111-1-1-1-1-1-1-1-100000000
χ5322222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000022222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100000000-2-2-2-2-2-2-2-21111111122-2-222-1-1-1-11111-1-1-1-100000000
χ5422222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000022222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100000000-2-2-2-2-2-2-2-2111111112222-2-2-1-1-1-1-1-1-1-1111100000000
χ55222-2-2-2-22222-2-22-2-22i−2i00002i2i−2i−2i0000000000000000222-2-2-2-22222-2-22-2-22i−2i00002i2i−2i−2i0000000000000000-2-2-22222-2-2-2-222-222−2i2i0000−2i−2i2i2i0000000000000000
χ56222-2-2-2-22222-2-22-2-2−2i2i0000−2i−2i2i2i0000000000000000222-2-2-2-22222-2-22-2-2−2i2i0000−2i−2i2i2i0000000000000000-2-2-22222-2-2-2-222-2222i−2i00002i2i−2i−2i0000000000000000
χ57222-2-2-2-22-1-1-111-1112i−2i0000−i−iii33−3−3−i3−i3i3i300000000222-2-2-2-22-1-1-111-1112i−2i0000−i−iii33−3−3−i3−i3i3i300000000-2-2-22222-2111-1-11-1-1−2i2i0000ii−i−i−3−333i3i3−i3−i300000000
χ58222-2-2-2-22-1-1-111-1112i−2i0000−i−iii−3−333i3i3−i3−i300000000222-2-2-2-22-1-1-111-1112i−2i0000−i−iii−3−333i3i3−i3−i300000000-2-2-22222-2111-1-11-1-1−2i2i0000ii−i−i33−3−3−i3−i3i3i300000000
χ59222-2-2-2-22-1-1-111-111−2i2i0000ii−i−i33−3−3i3i3−i3−i300000000222-2-2-2-22-1-1-111-111−2i2i0000ii−i−i33−3−3i3i3−i3−i300000000-2-2-22222-2111-1-11-1-12i−2i0000−i−iii−3−333−i3−i3i3i300000000
χ60222-2-2-2-22-1-1-111-111−2i2i0000ii−i−i−3−333−i3−i3i3i300000000222-2-2-2-22-1-1-111-111−2i2i0000ii−i−i−3−333−i3−i3i3i300000000-2-2-22222-2111-1-11-1-12i−2i0000−i−iii33−3−3i3i3−i3−i300000000
χ6122-222-2-2-222-2-2-2-22200000000000000000000002i−2i0022-222-2-2-222-2-2-2-22200000000000000000000002i−2i00-2-22-2-2222-2-22222-2-20000000000000000000000−2i2i00
χ6222-222-2-2-222-2-2-2-2220000000000000000000000−2i2i0022-222-2-2-222-2-2-2-2220000000000000000000000−2i2i00-2-22-2-2222-2-22222-2-200000000000000000000002i−2i00
χ6322-2-2-222-222-222-2-2-20000000000000000000000002i−2i22-2-2-222-222-222-2-2-20000000000000000000000002i−2i-2-2222-2-22-2-22-2-2222000000000000000000000000−2i2i
χ6422-2-2-222-222-222-2-2-2000000000000000000000000−2i2i22-2-2-222-222-222-2-2-2000000000000000000000000−2i2i-2-2222-2-22-2-22-2-22220000000000000000000000002i−2i
χ652-222-22-2-22-222-2-22-2002i−2i0000002i−2i2i−2i0000000000002-222-22-2-22-222-2-22-2002i−2i0000002i−2i2i−2i000000000000-22-2-22-222-22-2-222-2200−2i2i000000−2i2i−2i2i000000000000
χ662-222-22-2-22-222-2-22-200−2i2i000000−2i2i−2i2i0000000000002-222-22-2-22-222-2-22-200−2i2i000000−2i2i−2i2i000000000000-22-2-22-222-22-2-222-22002i−2i0000002i−2i2i−2i000000000000
χ672-222-22-2-2-11-1-111-11002i−2i00−i3i3−i3i3−ii−ii3−33−3000000002-222-22-2-2-11-1-111-11002i−2i00−i3i3−i3i3−ii−ii3−33−300000000-22-2-22-2221-111-1-11-100−2i2i00i3−i3i3−i3i−ii−i−33−3300000000
χ682-222-22-2-2-11-1-111-11002i−2i00i3−i3i3−i3−ii−ii−33−33000000002-222-22-2-2-11-1-111-11002i−2i00i3−i3i3−i3−ii−ii−33−3300000000-22-2-22-2221-111-1-11-100−2i2i00−i3i3−i3i3i−ii−i3−33−300000000
χ692-222-22-2-2-11-1-111-1100−2i2i00−i3i3−i3i3i−ii−i−33−33000000002-222-22-2-2-11-1-111-1100−2i2i00−i3i3−i3i3i−ii−i−33−3300000000-22-2-22-2221-111-1-11-1002i−2i00i3−i3i3−i3−ii−ii3−33−300000000
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χ712-22-22-22-22-22-22-2-2200002i−2i000000002i−2i−2i2i000000002-22-22-22-22-22-22-2-2200002i−2i000000002i−2i−2i2i00000000-22-22-22-22-22-22-222-20000−2i2i00000000−2i2i2i−2i00000000
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χ87222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111000000000000000000000000000000000000000000
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χ922222222222222222-2-2-2-222-2-2-2-2-2-2-2-22222-2-222-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-111-1-1000000000000000000000000000000000000000000
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χ1194-4-44-4-4444-4-4-4444-4000000000000000000004-40000-222-222-2-2-2222-2-2-2200000000000000000000-220000000000000000000000000000000000000000000000
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χ1268-8-8-888-88-444-44-44-400000000000000000000000000-4444-4-44-42-2-22-22-2200000000000000000000000000000000000000000000000000000000000000000000

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