Finite Group Databasebeta

← Group #11819102

Character table — Group #11819102

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111112222222222222222444444444444444444444444446666666666666666888888888888888888121212121212121212121212121212121212121224242424242424242424363636367272
order122222223366666666666666344444466666661212121212121212121212124444444412121212121212121212121212121212121212121212121212122244444466661212121212121212441212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1
χ6111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-111
χ7111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-111
χ8111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-111-1-1111111-1-1
χ91111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11-11111-1-1-1-1-1-111-11
χ101111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-11-1-1-1-1111111-1-11-1
χ111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-111-1-11-1
χ121111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-111-11
χ131111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1111-1-1-1-111-1-1111-1
χ141111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111-1-1-11111-1-111-1-1-11
χ151111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-11
χ161111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1111-1
χ17222222222-122-1-122-1-12-1-12-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ18222222222-122-1-122-1-12-1-12-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2001111111111110000000000000000
χ19222222222-122-1-122-1-12-1-12-12-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-11111111122222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-111111111-2-200-2-2001111-1-1-1-111110000000000000000
χ20222222222-122-1-122-1-12-1-12-12-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-21111111122-2-2-2-2-1-1-1-11111111122002200-1-1-1-11111-1-1-1-10000000000000000
χ21222222222-122-1-122-1-12-1-12-12-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-111112222-2-2-2-211111111-2-222-2-21111-1-1-1-111112200-2-200-1-1-1-1-1-1-1-111110000000000000000
χ22222222222-122-1-122-1-12-1-12-12-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-11111-2-2-2-22222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-11111-2-200220011111111-1-1-1-10000000000000000
χ23222222222-122-1-122-1-12-1-12-12-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-12222-2-2-2-211111111-2-2-2-22211111111-1-1-1-1-2-20022001111-1-1-1-1-1-1-1-10000000000000000
χ24222222222-122-1-122-1-12-1-12-12-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-12200-2-200-1-1-1-1111111110000000000000000
χ2522222222-12-1-122-1-122-122-12-1-1222222-1-1-1-1-1-1-12222222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022002200000000000022-1-1-1-1-1-1-1-1000000
χ2622222222-12-1-122-1-122-122-12-1-1222222-1-1-1-1-1-1-12222222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000000000000-2-211111111000000
χ2722222222-12-1-122-1-122-122-12-1-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000000000000000-1-11111-1-1-1-11111111100220022000000000000-2-2-1-111-1-111000000
χ2822222222-12-1-122-1-122-122-12-1-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000000000000000-1-11111-1-1-1-11111111100-2-200-2-20000000000002211-1-111-1-1000000
χ2922222222-12-1-122-1-122-122-12-1-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2000000000000000011-1-1111111-1-1-1-11111002200-2-20000000000002-2-1-1-1-11111000000
χ3022222222-12-1-122-1-122-122-12-1-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2000000000000000011-1-1111111-1-1-1-1111100-2-20022000000000000-221111-1-1-1-1000000
χ3122222222-12-1-122-1-122-122-12-1-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222200000000000000001111-1-111111111-1-1-1-1002200-2-2000000000000-22-1-11111-1-1000000
χ3222222222-12-1-122-1-122-122-12-1-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222200000000000000001111-1-111111111-1-1-1-100-2-200220000000000002-211-1-1-1-111000000
χ33222-22-2-2-222222-22-22-2-22-2-2-2-22002-20022-2-22-2-2000022-2-2000022-2-2000000000000002-200000022-2-200002-200000022-2-222-2-200000000000000000000
χ34222-22-2-2-222222-22-22-2-22-2-2-2-22002-20022-2-22-2-2000022-2-20000-2-222000000000000002-200000022-2-20000-22000000-2-222-2-22200000000000000000000
χ35222-22-2-2-222222-22-22-2-22-2-2-2-2200-220022-2-22-2-20000-2-222000022-2-200000000000000-22000000-2-2220000-22000000-2-22222-2-200000000000000000000
χ36222-22-2-2-222222-22-22-2-22-2-2-2-2200-220022-2-22-2-20000-2-2220000-2-22200000000000000-22000000-2-22200002-200000022-2-2-2-22200000000000000000000
χ37222-22-2-2-22-122-112-2-11-2-11-21-2-1002-200-1-111-11133−3−3-1-11133−3−322-2-200003333−3−3−3−3002-20033−3−3-1-11133−3−32-2000000-1-111-1-11133−3−30000000000000000
χ38222-22-2-2-22-122-112-2-11-2-11-21-2-1002-200-1-111-11133−3−3-1-11133−3−3-2-2220000−3−3−3−33333002-20033−3−3-1-11133−3−3-2200000011-1-111-1-1−3−3330000000000000000
χ39222-22-2-2-22-122-112-2-11-2-11-21-2-1002-200-1-111-111−3−333-1-111−3−33322-2-20000−3−3−3−33333002-200−3−333-1-111−3−3332-2000000-1-111-1-111−3−3330000000000000000
χ40222-22-2-2-22-122-112-2-11-2-11-21-2-1002-200-1-111-111−3−333-1-111−3−333-2-22200003333−3−3−3−3002-200−3−333-1-111−3−333-2200000011-1-111-1-133−3−30000000000000000
χ41222-22-2-2-22-122-112-2-11-2-11-21-2-100-2200-1-111-11133−3−311-1-1−3−33322-2-200003333−3−3−3−300-220033−3−311-1-1−3−333-2200000011-1-1-1-111−3−3330000000000000000
χ42222-22-2-2-22-122-112-2-11-2-11-21-2-100-2200-1-111-11133−3−311-1-1−3−333-2-2220000−3−3−3−3333300-220033−3−311-1-1−3−3332-2000000-1-11111-1-133−3−30000000000000000
χ43222-22-2-2-22-122-112-2-11-2-11-21-2-100-2200-1-111-111−3−33311-1-133−3−322-2-20000−3−3−3−3333300-2200−3−33311-1-133−3−3-2200000011-1-1-1-11133−3−30000000000000000
χ44222-22-2-2-22-122-112-2-11-2-11-21-2-100-2200-1-111-111−3−33311-1-133−3−3-2-22200003333−3−3−3−300-2200−3−33311-1-133−3−32-2000000-1-11111-1-1−3−3330000000000000000
χ4522-22-2-2-22222-22-2-22-22-2-22-2-22200002i−2i2-22-2-22-2000000002i−2i2i−2i2i−2i2i−2i00000000000000002i−2i000000002i−2i2i−2i00002-20000002i−2i2i−2i2-22-20000000000000000
χ4622-22-2-2-22222-22-2-22-22-2-22-2-22200002i−2i2-22-2-22-2000000002i−2i2i−2i−2i2i−2i2i00000000000000002i−2i000000002i−2i2i−2i0000-22000000−2i2i−2i2i-22-220000000000000000
χ4722-22-2-2-22222-22-2-22-22-2-22-2-2220000−2i2i2-22-2-22-200000000−2i2i−2i2i2i−2i2i−2i0000000000000000−2i2i00000000−2i2i−2i2i0000-220000002i−2i2i−2i-22-220000000000000000
χ4822-22-2-2-22222-22-2-22-22-2-22-2-2220000−2i2i2-22-2-22-200000000−2i2i−2i2i−2i2i−2i2i0000000000000000−2i2i00000000−2i2i−2i2i00002-2000000−2i2i−2i2i2-22-20000000000000000
χ4922-22-2-2-222-12-2-11-221-1-21-1-212-100002i−2i-11-111-11−i3i3−i3i33−33−3−ii−ii2i−2i2i−2i000033−3−333−3−300002i−2i−i3i3−i3i33−33−3−ii−ii00002-200−i3i3−i3i3−ii−ii-11-110000000000000000
χ5022-22-2-2-222-12-2-11-221-1-21-1-212-100002i−2i-11-111-11−i3i3−i3i33−33−3−ii−ii−2i2i−2i2i0000−3−333−3−33300002i−2i−i3i3−i3i33−33−3−ii−ii0000-2200i3−i3i3−i3i−ii−i1-11-10000000000000000
χ5122-22-2-2-222-12-2-11-221-1-21-1-212-100002i−2i-11-111-11i3−i3i3−i3−33−33−ii−ii2i−2i2i−2i0000−3−333−3−33300002i−2ii3−i3i3−i3−33−33−ii−ii00002-200i3−i3i3−i3−ii−ii-11-110000000000000000
χ5222-22-2-2-222-12-2-11-221-1-21-1-212-100002i−2i-11-111-11i3−i3i3−i3−33−33−ii−ii−2i2i−2i2i000033−3−333−3−300002i−2ii3−i3i3−i3−33−33−ii−ii0000-2200−i3i3−i3i3i−ii−i1-11-10000000000000000
χ5322-22-2-2-222-12-2-11-221-1-21-1-212-10000−2i2i-11-111-11−i3i3−i3i3−33−33i−ii−i2i−2i2i−2i000033−3−333−3−30000−2i2i−i3i3−i3i3−33−33i−ii−i0000-2200i3−i3i3−i3−ii−ii1-11-10000000000000000
χ5422-22-2-2-222-12-2-11-221-1-21-1-212-10000−2i2i-11-111-11−i3i3−i3i3−33−33i−ii−i−2i2i−2i2i0000−3−333−3−3330000−2i2i−i3i3−i3i3−33−33i−ii−i00002-200−i3i3−i3i3i−ii−i-11-110000000000000000
χ5522-22-2-2-222-12-2-11-221-1-21-1-212-10000−2i2i-11-111-11i3−i3i3−i33−33−3i−ii−i2i−2i2i−2i0000−3−333−3−3330000−2i2ii3−i3i3−i33−33−3i−ii−i0000-2200−i3i3−i3i3−ii−ii1-11-10000000000000000
χ5622-22-2-2-222-12-2-11-221-1-21-1-212-10000−2i2i-11-111-11i3−i3i3−i33−33−3i−ii−i−2i2i−2i2i000033−3−333−3−30000−2i2ii3−i3i3−i33−33−3i−ii−i00002-200i3−i3i3−i3i−ii−i-11-110000000000000000
χ5722-2-2-222-2222-222-2-2-2-22-2-222-222i−2i00002-2-22-2-222i−2i−2i2i000000002i−2i−2i2i22-2-2-2-22222-2-22i−2i00002i−2i−2i2i000000000000000000002i−2i−2i2i00000000000000000000
χ5822-2-2-222-2222-222-2-2-2-22-2-222-222i−2i00002-2-22-2-222i−2i−2i2i00000000−2i2i2i−2i-2-22222-2-2-2-2222i−2i00002i−2i−2i2i00000000000000000000−2i2i2i−2i00000000000000000000
χ5922-2-2-222-2222-222-2-2-2-22-2-222-22−2i2i00002-2-22-2-22−2i2i2i−2i000000002i−2i−2i2i-2-22222-2-2-2-222−2i2i0000−2i2i2i−2i000000000000000000002i−2i−2i2i00000000000000000000
χ6022-2-2-222-2222-222-2-2-2-22-2-222-22−2i2i00002-2-22-2-22−2i2i2i−2i00000000−2i2i2i−2i22-2-2-2-22222-2-2−2i2i0000−2i2i2i−2i00000000000000000000−2i2i2i−2i00000000000000000000
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χ6222-2-2-222-22-12-2-1-1-2-2112112-1-2-12i−2i0000-111-111-1−iii−i3−3−33i3−i3−i3i3−2i2i2i−2i-2-222-1-11111-1-12i−2i0000−iii−i3−3−33i3−i3−i3i300000000i3−i3−i3i3i−i−ii−333−30000000000000000
χ6322-2-2-222-22-12-2-1-1-2-2112112-1-2-12i−2i0000-111-111-1−iii−i−333−3−i3i3i3−i32i−2i−2i2i22-2-211-1-1-1-1112i−2i0000−iii−i−333−3−i3i3i3−i300000000i3−i3−i3i3−iii−i−333−30000000000000000
χ6422-2-2-222-22-12-2-1-1-2-2112112-1-2-12i−2i0000-111-111-1−iii−i−333−3−i3i3i3−i3−2i2i2i−2i-2-222-1-11111-1-12i−2i0000−iii−i−333−3−i3i3i3−i300000000−i3i3i3−i3i−i−ii3−3−330000000000000000
χ6522-2-2-222-22-12-2-1-1-2-2112112-1-2-1−2i2i0000-111-111-1i−i−ii3−3−33−i3i3i3−i32i−2i−2i2i-2-222-1-11111-1-1−2i2i0000i−i−ii3−3−33−i3i3i3−i300000000−i3i3i3−i3−iii−i−333−30000000000000000
χ6622-2-2-222-22-12-2-1-1-2-2112112-1-2-1−2i2i0000-111-111-1i−i−ii3−3−33−i3i3i3−i3−2i2i2i−2i22-2-211-1-1-1-111−2i2i0000i−i−ii3−3−33−i3i3i3−i300000000i3−i3−i3i3i−i−ii3−3−330000000000000000
χ6722-2-2-222-22-12-2-1-1-2-2112112-1-2-1−2i2i0000-111-111-1i−i−ii−333−3i3−i3−i3i32i−2i−2i2i-2-222-1-11111-1-1−2i2i0000i−i−ii−333−3i3−i3−i3i300000000i3−i3−i3i3−iii−i3−3−330000000000000000
χ6822-2-2-222-22-12-2-1-1-2-2112112-1-2-1−2i2i0000-111-111-1i−i−ii−333−3i3−i3−i3i3−2i2i2i−2i22-2-211-1-1-1-111−2i2i0000i−i−ii−333−3i3−i3−i3i300000000−i3i3i3−i3i−i−ii−333−30000000000000000
χ692-22-2-2-22222-2-2-2-22-22-2-2-222222000000-2-22-22-2200000000000000002-22-22-22-22-22-20000000000000000000000002-20000000000000000002-200002-200
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χ712-22-2-2-22222-2-2-2-22-22-2-2-222222000000-2-22-22-220000000000000000-22-22-22-22-22-220000000000000000000000002-20000000000000000002-20000-2200
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Here i is the imaginary unit (i² = −1).