Finite Group Databasebeta

← Group #11819059

Character table — Group #11819059

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111112222222222222222444444444444444444444444446666666666666666888888888888888888121212121212121212121212121212121212121224242424242424242424363636367272
order122222223366666666666666223444466666666666121212121212121244444444121212121212121266666612121212121212121212121244444444121212121212121212121212441212121212121212444444
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
χ5111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1111-1-111-1-1-1-1111-1
χ6111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-11-1-1-111-1-11111-1-1-11
χ7111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1111-1-111-1-111-1-1-11
χ8111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-111-1-111-1-1111-1
χ9111111111111111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-11111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1
χ10111111111111111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-11111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111
χ11111111111111111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-111
χ12111111111111111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111111111-1-11111-1-11111-1-1
χ13111111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-11111-1-1-1-111111-11111-1-1-1-1-1-111-11
χ14111111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-11-1-1-1-1111111-1-11-1
χ15111111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11111-1-1-1-111-1-11-1
χ16111111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1-111-11
χ17222222222-1222-1-12-1-122-1-1-1222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122002200-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ18222222222-1222-1-12-1-122-1-1-1222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111122-1-1-1-12222-1-1-1-1-1-1-1-1-2-200-2-2001111111111110000000000000000
χ19222222222-1222-1-12-1-122-1-1-1222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111112222-2-2-2-21111111122-1-1-1-1-2-2-2-2111111112200-2-200-1-1-1-1-1-1-1-111110000000000000000
χ20222222222-1222-1-12-1-122-1-1-1222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-22222-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111-2-200220011111111-1-1-1-10000000000000000
χ21222222222-1222-1-12-1-122-1-1-12-2-2-122-2-21111-1-1-1-1-1-1-1-1-1-1-1111122222222-1-1-1-1-1-1-1-1-2-2111122-2-2-1-1-1-11111-2-200-2-200-1-1-1-1111111110000000000000000
χ22222222222-1222-1-12-1-122-1-1-12-2-2-122-2-21111-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-211111111-2-2111122-2-2-1-1-1-11111220022001111-1-1-1-1-1-1-1-10000000000000000
χ23222222222-1222-1-12-1-122-1-1-12-2-2-1-2-2221111-1-1-1-1-1-1-11111-1-1-1-12222-2-2-2-211111111-2-21111-2-2221111-1-1-1-1-2-2002200-1-1-1-11111-1-1-1-10000000000000000
χ24222222222-1222-1-12-1-122-1-1-12-2-2-1-2-2221111-1-1-1-1-1-1-11111-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-2-21111-2-2221111-1-1-1-12200-2-2001111-1-1-1-111110000000000000000
χ2522222222-12-1-1-122-122-1-1222-122-122222222-1-1-1-1-1-1-1222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022002200000000000022-1-1-1-1-1-1-1-1000000
χ2622222222-12-1-1-122-122-1-1222-122-122222222-1-1-1-1-1-1-1222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000000000000-2-211111111000000
χ2722222222-12-1-1-122-122-1-1222-122-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000000000000000-1-1-1-1-1-1111111111111002200-2-2000000000000-22-1-111-1-111000000
χ2822222222-12-1-1-122-122-1-1222-122-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000000000000000-1-1-1-1-1-111111111111100-2-200220000000000002-211-1-111-1-1000000
χ2922222222-12-1-1-122-122-1-1222-1-2-2-122-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-20000000000000000111111-1-111-1-1-1-1111100220022000000000000-2-2-1-11111-1-1000000
χ3022222222-12-1-1-122-122-1-1222-1-2-2-122-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-20000000000000000111111-1-111-1-1-1-1111100-2-200-2-20000000000002211-1-1-1-111000000
χ3122222222-12-1-1-122-122-1-1222-1-2-2-1-2-222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-22222000000000000000011111111-1-11111-1-1-1-1002200-2-20000000000002-2-1-1-1-11111000000
χ3222222222-12-1-1-122-122-1-1222-1-2-2-1-2-222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-22222000000000000000011111111-1-11111-1-1-1-100-2-20022000000000000-221111-1-1-1-1000000
χ33222-2-2-2-22222-2-22-2222-2-2-2-2-22002002-200002-2-2-2-222000022-2-22i2i−2i−2i000000000000000000002-2000022-2-200002i−2i002i2i−2i−2i00002i2i−2i−2i0000000000000000
χ34222-2-2-2-22222-2-22-2222-2-2-2-2-22002002-200002-2-2-2-222000022-2-2−2i−2i2i2i000000000000000000002-2000022-2-20000−2i2i00−2i−2i2i2i0000−2i−2i2i2i0000000000000000
χ35222-2-2-2-22222-2-22-2222-2-2-2-2-2200200-2200002-2-2-2-2220000-2-2222i2i−2i−2i00000000000000000000-220000-2-2220000−2i2i002i2i−2i−2i0000−2i−2i2i2i0000000000000000
χ36222-2-2-2-22222-2-22-2222-2-2-2-2-2200200-2200002-2-2-2-2220000-2-222−2i−2i2i2i00000000000000000000-220000-2-22200002i−2i00−2i−2i2i2i00002i2i−2i−2i0000000000000000
χ37222-2-2-2-222-12-2-2-112-1-1-2-2111200-1002-2−i3−i3i3i3-11111-1-1−i3−i3i3i3-1-1112i2i−2i−2i00003333−3−3−3−300−i3−i3i3i3002-2−i3−i3i3i3-1-11100002i−2i00−i−iii33−3−3−i−iii0000000000000000
χ38222-2-2-2-222-12-2-2-112-1-1-2-2111200-1002-2−i3−i3i3i3-11111-1-1−i3−i3i3i3-1-111−2i−2i2i2i0000−3−3−3−3333300−i3−i3i3i3002-2−i3−i3i3i3-1-1110000−2i2i00ii−i−i−3−333ii−i−i0000000000000000
χ39222-2-2-2-222-12-2-2-112-1-1-2-2111200-1002-2i3i3−i3−i3-11111-1-1i3i3−i3−i3-1-1112i2i−2i−2i0000−3−3−3−3333300i3i3−i3−i3002-2i3i3−i3−i3-1-11100002i−2i00−i−iii−3−333−i−iii0000000000000000
χ40222-2-2-2-222-12-2-2-112-1-1-2-2111200-1002-2i3i3−i3−i3-11111-1-1i3i3−i3−i3-1-111−2i−2i2i2i00003333−3−3−3−300i3i3−i3−i3002-2i3i3−i3−i3-1-1110000−2i2i00ii−i−i33−3−3ii−i−i0000000000000000
χ41222-2-2-2-222-12-2-2-112-1-1-2-2111200-100-22−i3−i3i3i3-11111-1-1i3i3−i3−i311-1-12i2i−2i−2i0000−3−3−3−3333300−i3−i3i3i300-22i3i3−i3−i311-1-10000−2i2i00−i−iii33−3−3ii−i−i0000000000000000
χ42222-2-2-2-222-12-2-2-112-1-1-2-2111200-100-22−i3−i3i3i3-11111-1-1i3i3−i3−i311-1-1−2i−2i2i2i00003333−3−3−3−300−i3−i3i3i300-22i3i3−i3−i311-1-100002i−2i00ii−i−i−3−333−i−iii0000000000000000
χ43222-2-2-2-222-12-2-2-112-1-1-2-2111200-100-22i3i3−i3−i3-11111-1-1−i3−i3i3i311-1-12i2i−2i−2i00003333−3−3−3−300i3i3−i3−i300-22−i3−i3i3i311-1-10000−2i2i00−i−iii−3−333ii−i−i0000000000000000
χ44222-2-2-2-222-12-2-2-112-1-1-2-2111200-100-22i3i3−i3−i3-11111-1-1−i3−i3i3i311-1-1−2i−2i2i2i0000−3−3−3−3333300i3i3−i3−i300-22−i3−i3i3i311-1-100002i−2i00ii−i−i33−3−3−i−iii0000000000000000
χ4522-222-2-2-2222222-2-2-2-2-2-222-2-22-2200002-22-2222-2-2-2-2000000002-22-20000000000002-22-22-20000000000002-20000002-22-22-22-200000000000000000000
χ4622-222-2-2-2222222-2-2-2-2-2-222-2-22-2200002-22-2222-2-2-2-200000000-22-220000000000002-22-22-2000000000000-22000000-22-22-22-2200000000000000000000
χ4722-222-2-2-2222222-2-2-2-2-2-222-2-2-2220000-22-22222-2-2-2-2000000002-22-2000000000000-22-22-22000000000000-220000002-22-2-22-2200000000000000000000
χ4822-222-2-2-2222222-2-2-2-2-2-222-2-2-2220000-22-22222-2-2-2-200000000-22-22000000000000-22-22-220000000000002-2000000-22-222-22-200000000000000000000
χ4922-222-2-2-22-1222-11-211-2-2-1-11-22-2-10000-11-11-1-1-111113−33−33−33−32-22-2000033−3−333−3−32-2-11-1100003−33−33−33−32-2000000-11-11-11-113−33−30000000000000000
χ5022-222-2-2-22-1222-11-211-2-2-1-11-22-2-10000-11-11-1-1-111113−33−33−33−3-22-220000−3−333−3−3332-2-11-1100003−33−33−33−3-220000001-11-11-11-1−33−330000000000000000
χ5122-222-2-2-22-1222-11-211-2-2-1-11-22-2-10000-11-11-1-1-11111−33−33−33−332-22-20000−3−333−3−3332-2-11-110000−33−33−33−332-2000000-11-11-11-11−33−330000000000000000
χ5222-222-2-2-22-1222-11-211-2-2-1-11-22-2-10000-11-11-1-1-11111−33−33−33−33-22-22000033−3−333−3−32-2-11-110000−33−33−33−33-220000001-11-11-11-13−33−30000000000000000
χ5322-222-2-2-22-1222-11-211-2-2-1-11-2-22-100001-11-1-1-1-111113−33−3−33−332-22-2000033−3−333−3−3-221-11-100003−33−3−33−33-22000000-11-111-11-1−33−330000000000000000
χ5422-222-2-2-22-1222-11-211-2-2-1-11-2-22-100001-11-1-1-1-111113−33−3−33−33-22-220000−3−333−3−333-221-11-100003−33−3−33−332-20000001-11-1-11-113−33−30000000000000000
χ5522-222-2-2-22-1222-11-211-2-2-1-11-2-22-100001-11-1-1-1-11111−33−333−33−32-22-20000−3−333−3−333-221-11-10000−33−333−33−3-22000000-11-111-11-13−33−30000000000000000
χ5622-222-2-2-22-1222-11-211-2-2-1-11-2-22-100001-11-1-1-1-11111−33−333−33−3-22-22000033−3−333−3−3-221-11-10000−33−333−33−32-20000001-11-1-11-11−33−330000000000000000
χ5722-2-2-222-2222-2-222-2-2-222-2-22-20022i−2i0000002-2-222-2-22i−2i−2i2i00002i−2i−2i2i22-2-2-2-22222-2-20000002i−2i002i−2i−2i2i0000000000002i−2i−2i2i000000000000000000000000
χ5822-2-2-222-2222-2-222-2-2-222-2-22-20022i−2i0000002-2-222-2-22i−2i−2i2i0000−2i2i2i−2i-2-22222-2-2-2-2220000002i−2i002i−2i−2i2i000000000000−2i2i2i−2i000000000000000000000000
χ5922-2-2-222-2222-2-222-2-2-222-2-22-2002−2i2i0000002-2-222-2-2−2i2i2i−2i00002i−2i−2i2i-2-22222-2-2-2-222000000−2i2i00−2i2i2i−2i0000000000002i−2i−2i2i000000000000000000000000
χ6022-2-2-222-2222-2-222-2-2-222-2-22-2002−2i2i0000002-2-222-2-2−2i2i2i−2i0000−2i2i2i−2i22-2-2-2-22222-2-2000000−2i2i00−2i2i2i−2i000000000000−2i2i2i−2i000000000000000000000000
χ6122-2-2-222-22-12-2-2-1-1-2112211-1-200-12i−2i00−i3i3i3−i3-111-1-111−iii−i3−3−332i−2i−2i2i22-2-211-1-1-1-11100−i3i3i3−i32i−2i00−iii−i3−3−3300000000−iii−i3−3−33i3−i3−i3i30000000000000000
χ6222-2-2-222-22-12-2-2-1-1-2112211-1-200-12i−2i00−i3i3i3−i3-111-1-111−iii−i3−3−33−2i2i2i−2i-2-222-1-11111-1-100−i3i3i3−i32i−2i00−iii−i3−3−3300000000i−i−ii−333−3−i3i3i3−i30000000000000000
χ6322-2-2-222-22-12-2-2-1-1-2112211-1-200-12i−2i00i3−i3−i3i3-111-1-111−iii−i−333−32i−2i−2i2i22-2-211-1-1-1-11100i3−i3−i3i32i−2i00−iii−i−333−300000000−iii−i−333−3−i3i3i3−i30000000000000000
χ6422-2-2-222-22-12-2-2-1-1-2112211-1-200-12i−2i00i3−i3−i3i3-111-1-111−iii−i−333−3−2i2i2i−2i-2-222-1-11111-1-100i3−i3−i3i32i−2i00−iii−i−333−300000000i−i−ii3−3−33i3−i3−i3i30000000000000000
χ6522-2-2-222-22-12-2-2-1-1-2112211-1-200-1−2i2i00−i3i3i3−i3-111-1-111i−i−ii−333−32i−2i−2i2i-2-222-1-11111-1-100−i3i3i3−i3−2i2i00i−i−ii−333−300000000−iii−i3−3−33−i3i3i3−i30000000000000000
χ6622-2-2-222-22-12-2-2-1-1-2112211-1-200-1−2i2i00−i3i3i3−i3-111-1-111i−i−ii−333−3−2i2i2i−2i22-2-211-1-1-1-11100−i3i3i3−i3−2i2i00i−i−ii−333−300000000i−i−ii−333−3i3−i3−i3i30000000000000000
χ6722-2-2-222-22-12-2-2-1-1-2112211-1-200-1−2i2i00i3−i3−i3i3-111-1-111i−i−ii3−3−332i−2i−2i2i-2-222-1-11111-1-100i3−i3−i3i3−2i2i00i−i−ii3−3−3300000000−iii−i−333−3i3−i3−i3i30000000000000000
χ6822-2-2-222-22-12-2-2-1-1-2112211-1-200-1−2i2i00i3−i3−i3i3-111-1-111i−i−ii3−3−33−2i2i2i−2i22-2-211-1-1-1-11100i3−i3−i3i3−2i2i00i−i−ii3−3−3300000000i−i−ii3−3−33−i3i3i3−i30000000000000000
χ692-222-2-22-222-22-2-2-222-22-22-22-200200000000-22-22-22-20000000000002-22-22-22-22-22-2000000000000000000002i−2i0000000000000000002i−2i0000002i−2i0000
χ702-222-2-22-222-22-2-2-222-22-22-22-200200000000-22-22-22-20000000000002-22-22-22-22-22-200000000000000000000−2i2i000000000000000000−2i2i000000−2i2i0000
χ712-222-2-22-222-22-2-2-222-22-22-22-200200000000-22-22-22-2000000000000-22-22-22-22-22-22000000000000000000002i−2i0000000000000000002i−2i000000−2i2i0000
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χ732-2-2-22-22222-2-22-2-2-2-222-2-222200200000000-2-222-2-220000000000002-2-22-222-22-2-220000000000000000000000002-2000000000000000000002-2002-200
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Here i is the imaginary unit (i² = −1).