Finite Group Databasebeta

← Group #11806076

Character table — Group #11806076

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222244444444444444444444444444446666666666666666666666668888888888888888121212121212121212121212121212121212121212121212121212121818181824242424363636363636
order122222223344446666666666666622344666666666661212121212121212121212124444444444444444121212121212121266666612121212121212121212444444441212121212121212121212121212121212121212444412121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ51111111111111111111111111111-1-11-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111-1-11-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111
χ71111111111111111111111111111-1-11-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111-1-11-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ91111111111-1-1-1-111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1
χ101111111111-1-1-1-111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111
χ111111111111-1-1-1-111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ121111111111-1-1-1-111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ131111111111-1-1-1-111111111111111-1-1111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-111
χ141111111111-1-1-1-111111111111111-1-1111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-111111111111111-1-1-1-111-1-1
χ151111111111-1-1-1-111111111111111-1-1111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1
χ161111111111-1-1-1-111111111111111-1-1111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111
χ1711-1-111-1-111ii−i−i111-1-1-1-111-1-1-1-111-11i−i11-1-1111-1-1-1-1ii−i−iii−i−iii−i−i11-1-111-1-111-1-1ii−i−i1111-1-1-1-11-111-1-1i−iii−i−iii−i−i1-1i−ii−ii−iii−i−iii−i−i11-1-1ii−i−i11-1-111-1-11-1i−i1-1i−ii−i
χ1811-1-111-1-111ii−i−i111-1-1-1-111-1-1-1-111-11i−i11-1-1111-1-1-1-1ii−i−iii−i−iii−i−i11-1-111-1-1-1-111ii−i−i1111-1-1-1-11-111-1-1i−iii−i−iii−i−i-11−iii−i−iiii−i−iii−i−i-1-111−i−iii11-1-1-1-111-11−ii-11−ii−ii
χ1911-1-111-1-111ii−i−i111-1-1-1-111-1-1-1-111-11i−i11-1-1111-1-1-1-1ii−i−iii−i−iii−i−i-1-111-1-11111-1-1−i−iii-1-1-1-111111-111-1-1i−iii−i−iii−i−i1-1i−i−iii−i−i−iii−i−iii11-1-1ii−i−i-1-111-1-1111-1i−i-11−ii−ii
χ2011-1-111-1-111ii−i−i111-1-1-1-111-1-1-1-111-11i−i11-1-1111-1-1-1-1ii−i−iii−i−iii−i−i-1-111-1-111-1-111−i−iii-1-1-1-111111-111-1-1i−iii−i−iii−i−i-11−ii−ii−ii−i−iii−i−iii-1-111−i−iii-1-11111-1-1-11−ii1-1i−ii−i
χ2111-1-111-1-111ii−i−i111-1-1-1-111-1-1-1-11-111−ii-1-111111-1-1-1-1ii−i−i−i−iiiii−i−i11-1-1-1-11111-1-1ii−i−i-1-1-1-11111-11-1-111−iiii−i−i−i−iii-11−ii−iii−iii−i−i−i−iii11-1-1ii−i−i11-1-1-1-111-11−ii1-1i−i−ii
χ2211-1-111-1-111ii−i−i111-1-1-1-111-1-1-1-11-111−ii-1-111111-1-1-1-1ii−i−i−i−iiiii−i−i11-1-1-1-111-1-111ii−i−i-1-1-1-11111-11-1-111−iiii−i−i−i−iii1-1i−i−ii−iiii−i−i−i−iii-1-111−i−iii11-1-111-1-11-1i−i-11−iii−i
χ2311-1-111-1-111ii−i−i111-1-1-1-111-1-1-1-11-111−ii-1-111111-1-1-1-1ii−i−i−i−iiiii−i−i-1-11111-1-111-1-1−i−iii1111-1-1-1-1-11-1-111−iiii−i−i−i−iii-11−iii−ii−i−i−iiiii−i−i11-1-1ii−i−i-1-11111-1-1-11−ii-11−iii−i
χ2411-1-111-1-111ii−i−i111-1-1-1-111-1-1-1-11-111−ii-1-111111-1-1-1-1ii−i−i−i−iiiii−i−i-1-11111-1-1-1-111−i−iii1111-1-1-1-1-11-1-111−iiii−i−i−i−iii1-1i−ii−i−ii−i−iiiii−i−i-1-111−i−iii-1-111-1-1111-1i−i1-1i−i−ii
χ2511-1-111-1-111−i−iii111-1-1-1-111-1-1-1-111-11−ii11-1-1111-1-1-1-1−i−iii−i−iii−i−iii11-1-111-1-111-1-1−i−iii1111-1-1-1-11-111-1-1−ii−i−iii−i−iii1-1−ii−ii−ii−i−iii−i−iii11-1-1−i−iii11-1-111-1-11-1−ii1-1−ii−ii
χ2611-1-111-1-111−i−iii111-1-1-1-111-1-1-1-111-11−ii11-1-1111-1-1-1-1−i−iii−i−iii−i−iii11-1-111-1-1-1-111−i−iii1111-1-1-1-11-111-1-1−ii−i−iii−i−iii-11i−i−iii−i−i−iii−i−iii-1-111ii−i−i11-1-1-1-111-11i−i-11i−ii−i
χ2711-1-111-1-111−i−iii111-1-1-1-111-1-1-1-111-11−ii11-1-1111-1-1-1-1−i−iii−i−iii−i−iii-1-111-1-11111-1-1ii−i−i-1-1-1-111111-111-1-1−ii−i−iii−i−iii1-1−iii−i−iiii−i−iii−i−i11-1-1−i−iii-1-111-1-1111-1−ii-11i−ii−i
χ2811-1-111-1-111−i−iii111-1-1-1-111-1-1-1-111-11−ii11-1-1111-1-1-1-1−i−iii−i−iii−i−iii-1-111-1-111-1-111ii−i−i-1-1-1-111111-111-1-1−ii−i−iii−i−iii-11i−ii−ii−iii−i−iii−i−i-1-111ii−i−i-1-11111-1-1-11i−i1-1−ii−ii
χ2911-1-111-1-111−i−iii111-1-1-1-111-1-1-1-11-111i−i-1-111111-1-1-1-1−i−iiiii−i−i−i−iii11-1-1-1-11111-1-1−i−iii-1-1-1-11111-11-1-111i−i−i−iiiii−i−i-11i−ii−i−ii−i−iiiii−i−i11-1-1−i−iii11-1-1-1-111-11i−i1-1−iii−i
χ3011-1-111-1-111−i−iii111-1-1-1-111-1-1-1-11-111i−i-1-111111-1-1-1-1−i−iiiii−i−i−i−iii11-1-1-1-111-1-111−i−iii-1-1-1-11111-11-1-111i−i−i−iiiii−i−i1-1−iii−ii−i−i−iiiii−i−i-1-111ii−i−i11-1-111-1-11-1−ii-11i−i−ii
χ3111-1-111-1-111−i−iii111-1-1-1-111-1-1-1-11-111i−i-1-111111-1-1-1-1−i−iiiii−i−i−i−iii-1-11111-1-111-1-1ii−i−i1111-1-1-1-1-11-1-111i−i−i−iiiii−i−i-11i−i−ii−iiii−i−i−i−iii11-1-1−i−iii-1-11111-1-1-11i−i-11i−i−ii
χ3211-1-111-1-111−i−iii111-1-1-1-111-1-1-1-11-111i−i-1-111111-1-1-1-1−i−iiiii−i−i−i−iii-1-11111-1-1-1-111ii−i−i1111-1-1-1-1-11-1-111i−i−i−iiiii−i−i1-1−ii−iii−iii−i−i−i−iii-1-111ii−i−i-1-111-1-1111-1−ii1-1−iii−i
χ33222222222-1222222-1-122-1-1-122-1-1222-1222222-1-1-1-1-1-1-122222222-1-1-1-1000000002222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222002200000000-1-1-1-1-1-1-1-100000000-1-1-1-1000000
χ34222222222-1222222-1-122-1-1-122-1-1222-1222222-1-1-1-1-1-1-122222222-1-1-1-100000000-2-2-2-2000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200-2-20000000011111111000000001111000000
χ35222222222-1222222-1-122-1-1-122-1-12-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-100000000222200000000000011111111-1-1-1-11111-2-2-2-2002200000000-1-1-1-1-1-1-1-1000000001111000000
χ36222222222-1222222-1-122-1-1-122-1-12-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-100000000-2-2-2-200000000000011111111-1-1-1-11111222200-2-2000000001111111100000000-1-1-1-1000000
χ37222222222-1-2-2-2-222-1-122-1-1-122-1-1222-1-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111000000002222000000000000-1-1-1-1-1-1111111111122-2-200-2-200000000-1-1-1-1111100000000-1-111000000
χ38222222222-1-2-2-2-222-1-122-1-1-122-1-1222-1-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111100000000-2-2-2-2000000000000-1-1-1-1-1-11111111111-2-2220022000000001111-1-1-1-10000000011-1-1000000
χ39222222222-1-2-2-2-222-1-122-1-1-122-1-12-2-2-122-2-2-2-2-1-1-1-1-1-1-1-2-2-2-222221111000000002222000000000000111111-1-11111-1-1-1-1-2-22200-2-200000000-1-1-1-111110000000011-1-1000000
χ40222222222-1-2-2-2-222-1-122-1-1-122-1-12-2-2-122-2-2-2-2-1-1-1-1-1-1-1-2-2-2-22222111100000000-2-2-2-2000000000000111111-1-11111-1-1-1-122-2-20022000000001111-1-1-1-100000000-1-111000000
χ4122222222-122222-1-122-1-1222-1-122-122-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222200002222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-100002200-1-1-1-1-1-1-1-100000000-1-1-1-100000000000000
χ4222222222-122222-1-122-1-1222-1-122-122-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000-2-2-2-21111111122-1-1-1-122-1-1-1-1-1-1-1-10000-2-2001111111100000000111100000000000000
χ4322222222-122222-1-122-1-1222-1-122-1-2-2-1-2-21111-1-1-1-1-1-1-1-1-1-1-1111122222222-2-2-2-20000222211111111-2-21111-2-2-1-1-1-111110000-2-200-1-1-1-1111100000000-1-1-1-100000000000000
χ4422222222-122222-1-122-1-1222-1-122-1-2-2-1-2-21111-1-1-1-1-1-1-1-1-1-1-111112222-2-2-2-222220000-2-2-2-2-1-1-1-1-1-1-1-1-2-21111-2-2-1-1-1-11111000022001111-1-1-1-100000000111100000000000000
χ4522222222-12-2-2-2-2-1-122-1-1222-1-122-122-1-2-2-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2222222220000-2-2-2-2-1-1-1-1-1-1-1-122-1-1-1-1-2-2111111110000-2-2001111111100000000-1-1-1-100000000000000
χ4622222222-12-2-2-2-2-1-122-1-1222-1-122-122-1-2-2-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-2-2-2-2-2000022221111111122-1-1-1-1-2-21111111100002200-1-1-1-1-1-1-1-100000000111100000000000000
χ4722222222-12-2-2-2-2-1-122-1-1222-1-122-1-2-2-1221111-1-1-1-1-1-1-11111-1-1-1-1-2-2-2-22222-2-2-2-20000-2-2-2-211111111-2-21111221111-1-1-1-1000022001111-1-1-1-100000000-1-1-1-100000000000000
χ4822222222-12-2-2-2-2-1-122-1-1222-1-122-1-2-2-1221111-1-1-1-1-1-1-11111-1-1-1-1-2-2-2-2-2-2-2-2222200002222-1-1-1-1-1-1-1-1-2-21111221111-1-1-1-10000-2-200-1-1-1-1111100000000111100000000000000
χ49222-2-2-22-2222-22-22-2-2-22222-2-2-2-22-20020000002-2-2-2-2222-22-200002-22-22i−2i2i−2i000000002i−2i2i−2i00000000000000002-22-20000000000002i−2i2i−2i0000000000002i−2i2i−2i00000000000000
χ50222-2-2-22-2222-22-22-2-2-22222-2-2-2-22-20020000002-2-2-2-2222-22-200002-22-2−2i2i−2i2i00000000−2i2i−2i2i00000000000000002-22-2000000000000−2i2i−2i2i000000000000−2i2i−2i2i00000000000000
χ51222-2-2-22-222-22-222-2-2-22222-2-2-2-22-20020000002-2-2-2-222-22-220000-22-222i−2i2i−2i00000000−2i2i−2i2i0000000000000000-22-22000000000000−2i2i−2i2i0000000000002i−2i2i−2i00000000000000
χ52222-2-2-22-222-22-222-2-2-22222-2-2-2-22-20020000002-2-2-2-222-22-220000-22-22−2i2i−2i2i000000002i−2i2i−2i0000000000000000-22-220000000000002i−2i2i−2i000000000000−2i2i−2i2i00000000000000
χ53222-2-2-22-2-122-22-2-11-2-2-1-122-211-22100-100−i3i3−i3i3-11111-1-1-11-11−i3i3−i3i32-22-22i−2i2i−2i000000002i−2i2i−2i33−3−333−3−300−i3i3−i3i300-11-11−i3i3−i3i300000000−ii−ii3−33−300000000−ii−ii00000000000000
χ54222-2-2-22-2-122-22-2-11-2-2-1-122-211-22100-100−i3i3−i3i3-11111-1-1-11-11−i3i3−i3i32-22-2−2i2i−2i2i00000000−2i2i−2i2i−3−333−3−33300−i3i3−i3i300-11-11−i3i3−i3i300000000i−ii−i−33−3300000000i−ii−i00000000000000
χ55222-2-2-22-2-122-22-2-11-2-2-1-122-211-22100-100i3−i3i3−i3-11111-1-1-11-11i3−i3i3−i32-22-22i−2i2i−2i000000002i−2i2i−2i−3−333−3−33300i3−i3i3−i300-11-11i3−i3i3−i300000000−ii−ii−33−3300000000−ii−ii00000000000000
χ56222-2-2-22-2-122-22-2-11-2-2-1-122-211-22100-100i3−i3i3−i3-11111-1-1-11-11i3−i3i3−i32-22-2−2i2i−2i2i00000000−2i2i−2i2i33−3−333−3−300i3−i3i3−i300-11-11i3−i3i3−i300000000i−ii−i3−33−300000000i−ii−i00000000000000
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χ1304-4-4-4-4444440000-4-4-44-444-444-4-4-44004000000-4-444-4-440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1314-4-4-4-44444-20000-4-42-2-44-22-24-422400-200000022-2-222-200000000000000000000000000000000000000000000000000000000000000000000000023−23−2323000000000000000000
χ1324-4-4-4-44444-20000-4-42-2-44-22-24-422400-200000022-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000−232323−23000000000000000000
χ1334-4-4-4-4444-24000022-442-24-44-22-4-4-200-200000022-2-222-20000000000000000000000000000−2i32i32i3−2i32i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000000
χ1344-4-4-4-4444-24000022-442-24-44-22-4-4-200-200000022-2-222-200000000000000000000000000002i3−2i3−2i32i3−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000000
χ1358-888-88-8-8-4-400004444-4444-44-4-4-4-4002000000-2-22-222-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1368-88-88-8-88-4-400004-4-4-4-44444-444-44002000000-22-22-22-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1378-8-888-88-8-4-400004-4-444-4-4444-4-444002000000-22-2-22-220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-8-8-8-8888-4-40000444-44-4-44-4-4444-4002000000-2-222-2-220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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