Finite Group Databasebeta

← Group #11771831

Character table — Group #11771831

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222222222224444444444444444444444444444888888888888888888888888888888888888888888888888888887272727272727272
order1222223333666666666666444466666666121212121212121212121212121212124888812121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11ii−i−i11111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-1ii−i−i
χ61111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11ii−i−i11111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-111−i−iii
χ71111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11-1-1−i−iii
χ81111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-111ii−i−i
χ9222222222222222222222222-2-2222222222222222222222222-20000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ102222222222222222222222-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ112222222-1-1-12-1-1-12-1-1-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ122222222-1-1-12-1-1-12-1-1-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100000000
χ132222222-1-1-12-1-1-12-1-1-12-1-1-122-2-222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-20000-2-2111111-2-21111110000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i30000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i300000000
χ142222222-1-1-12-1-1-12-1-1-12-1-1-122-2-222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-20000-2-2111111-2-21111110000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i30000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i300000000
χ152222222-1-1-12-1-1-12-1-1-12-1-1-1-2-22222-1-1-1-1-1-1-2-2111111-2-2111111-20000-2-211111122-1-1-1-1-1-10000333333−3−3−3−3−3−30000−3−3−3−3−3−333333300000000
χ162222222-1-1-12-1-1-12-1-1-12-1-1-1-2-22222-1-1-1-1-1-1-2-2111111-2-2111111-20000-2-211111122-1-1-1-1-1-10000−3−3−3−3−3−33333330000333333−3−3−3−3−3−300000000
χ172222222-1-1-12-1-1-12-1-1-12-1-1-1-2-2-2-222-1-1-1-1-1-1-2-2111111-2-211111122i2i−2i−2i22-1-1-1-1-1-1-2-21111112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii00000000
χ182222222-1-1-12-1-1-12-1-1-12-1-1-1-2-2-2-222-1-1-1-1-1-1-2-2111111-2-21111112−2i−2i2i2i22-1-1-1-1-1-1-2-2111111−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i00000000
χ19222222-12-1-1-12-1-1-12-1-1-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-100000000
χ20222222-12-1-1-12-1-1-12-1-1-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-11111-2-21111-2-211111111-2-21111-2-2111100000000
χ21222222-12-1-1-12-1-1-12-1-1-12-1-122-2-2-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2000011-2-2111111-2-21111−i3−i3i3i300−i3−i3i3i300−i3−i3i3i3−i3−i3i3i300−i3−i3i3i300−i3−i3i3i300000000
χ22222222-12-1-1-12-1-1-12-1-1-12-1-122-2-2-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2000011-2-2111111-2-21111i3i3−i3−i300i3i3−i3−i300i3i3−i3−i3i3i3−i3−i300i3i3−i3−i300i3i3−i3−i300000000
χ23222222-12-1-1-12-1-1-12-1-1-12-1-1-2-222-1-122-1-1-1-111-2-2111111-2-21111-2000011-2-21111-1-122-1-1-1-133−3−30033−3−30033−3−3−3−33300−3−33300−3−33300000000
χ24222222-12-1-1-12-1-1-12-1-1-12-1-1-2-222-1-122-1-1-1-111-2-2111111-2-21111-2000011-2-21111-1-122-1-1-1-1−3−33300−3−33300−3−33333−3−30033−3−30033−3−300000000
χ25222222-12-1-1-12-1-1-12-1-1-12-1-1-2-2-2-2-1-122-1-1-1-111-2-2111111-2-2111122i2i−2i−2i-1-122-1-1-1-111-2-21111−i−i−i−i2i2i−i−i−i−i2i2i−i−i−i−iiiii−2i−2iiiii−2i−2iiiii00000000
χ26222222-12-1-1-12-1-1-12-1-1-12-1-1-2-2-2-2-1-122-1-1-1-111-2-2111111-2-211112−2i−2i2i2i-1-122-1-1-1-111-2-21111iiii−2i−2iiiii−2i−2iiiii−i−i−i−i2i2i−i−i−i−i2i2i−i−i−i−i00000000
χ27222222-1-12-1-1-12-1-1-12-1-1-12-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-122222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12200000000
χ28222222-1-12-1-1-12-1-1-12-1-1-12-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-12-2-2-2-2-1-1-1-122-1-1-1-1-1-122-1-1111111-2-2111111-2-2111111-2-2111111-2-200000000
χ29222222-1-12-1-1-12-1-1-12-1-1-12-122-2-2-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-200001111-2-2111111-2-211−i3−i3i3i3i3i300−i3−i3−i3−i3i3i300−i3−i3i3i3i3i300−i3−i3−i3−i3i3i30000000000
χ30222222-1-12-1-1-12-1-1-12-1-1-12-122-2-2-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-200001111-2-2111111-2-211i3i3−i3−i3−i3−i300i3i3i3i3−i3−i300i3i3−i3−i3−i3−i300i3i3i3i3−i3−i30000000000
χ31222222-1-12-1-1-12-1-1-12-1-1-12-1-2-222-1-1-1-122-1-11111-2-2111111-2-211-200001111-2-211-1-1-1-122-1-133−3−3−3−3003333−3−300−3−3333300−3−3−3−3330000000000
χ32222222-1-12-1-1-12-1-1-12-1-1-12-1-2-222-1-1-1-122-1-11111-2-2111111-2-211-200001111-2-211-1-1-1-122-1-1−3−3333300−3−3−3−3330033−3−3−3−3003333−3−30000000000
χ33222222-1-12-1-1-12-1-1-12-1-1-12-1-2-2-2-2-1-1-1-122-1-11111-2-2111111-2-21122i2i−2i−2i-1-1-1-122-1-11111-2-211−i−i−i−i−i−i2i2i−i−i−i−i−i−i2i2iiiiiii−2i−2iiiiiii−2i−2i00000000
χ34222222-1-12-1-1-12-1-1-12-1-1-12-1-2-2-2-2-1-1-1-122-1-11111-2-2111111-2-2112−2i−2i2i2i-1-1-1-122-1-11111-2-211iiiiii−2i−2iiiiiii−2i−2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i2i2i00000000
χ35222222-1-1-12-1-1-12-1-1-12-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-122-1-100000000
χ36222222-1-1-12-1-1-12-1-1-12-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-12211111111-2-211-2-21111111111-2-211-2-21100000000
χ37222222-1-1-12-1-1-12-1-1-12-1-1-1222-2-2-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-20000111111-2-2111111-2-2−i3−i3i3i3−i3−i3i3i300i3i300−i3−i3−i3−i3i3i3−i3−i3i3i300i3i300−i3−i300000000
χ38222222-1-1-12-1-1-12-1-1-12-1-1-1222-2-2-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-20000111111-2-2111111-2-2i3i3−i3−i3i3i3−i3−i300−i3−i300i3i3i3i3−i3−i3i3i3−i3−i300−i3−i300i3i300000000
χ39222222-1-1-12-1-1-12-1-1-12-1-1-12-2-222-1-1-1-1-1-122111111-2-2111111-2-2-20000111111-2-2-1-1-1-1-1-12233−3−333−3−300−3−30033−3−333−3−333003300−3−300000000
χ40222222-1-1-12-1-1-12-1-1-12-1-1-12-2-222-1-1-1-1-1-122111111-2-2111111-2-2-20000111111-2-2-1-1-1-1-1-122−3−333−3−333003300−3−333−3−333−3−300−3−3003300000000
χ41222222-1-1-12-1-1-12-1-1-12-1-1-12-2-2-2-2-1-1-1-1-1-122111111-2-2111111-2-222i2i−2i−2i-1-1-1-1-1-122111111-2-2−i−i−i−i−i−i−i−i2i2i−i−i2i2i−i−iiiiiiiii−2i−2iii−2i−2iii00000000
χ42222222-1-1-12-1-1-12-1-1-12-1-1-12-2-2-2-2-1-1-1-1-1-122111111-2-2111111-2-22−2i−2i2i2i-1-1-1-1-1-122111111-2-2iiiiiiii−2i−2iii−2i−2iii−i−i−i−i−i−i−i−i2i2i−i−i2i2i−i−i00000000
χ432-2-222-22222-2-2-2-22222-2-2-2-2002i−2i2-22-22-22-2000000000000000001+i−1−i1−i−1+i000000002i−2i2i−2i2i−2i2i−2i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i00000000
χ442-2-222-22222-2-2-2-22222-2-2-2-2002i−2i2-22-22-22-200000000000000000−1−i1+i−1+i1−i000000002i−2i2i−2i2i−2i2i−2i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i00000000
χ452-2-222-22222-2-2-2-22222-2-2-2-200−2i2i2-22-22-22-2000000000000000001−i−1+i1+i−1−i00000000−2i2i−2i2i−2i2i−2i2i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i00000000
χ462-2-222-22222-2-2-2-22222-2-2-2-200−2i2i2-22-22-22-200000000000000000−1+i1−i−1−i1+i00000000−2i2i−2i2i−2i2i−2i2i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i00000000
χ472-2-222-22-1-1-1-21112-1-1-1-2111002i−2i2-2-11-11-1100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i301+i−1−i1−i−1+i003−33−33−32i−2i−ii−ii−ii1+i−1−i1+i−1−i−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ20−ζ221−i−1+i1−i−1+i−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ20+ζ2200000000
χ482-2-222-22-1-1-1-21112-1-1-1-2111002i−2i2-2-11-11-1100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i30−1−i1+i−1+i1−i003−33−33−32i−2i−ii−ii−ii−1−i1+i−1−i1+iζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ20+ζ22−1+i1−i−1+i1−iζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ20−ζ2200000000
χ492-2-222-22-1-1-1-21112-1-1-1-2111002i−2i2-2-11-11-1100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i301+i−1−i1−i−1+i00−33−33−332i−2i−ii−ii−ii1+i−1−i1+i−1−i−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ4−ζ141−i−1+i1−i−1+i−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ4+ζ1400000000
χ502-2-222-22-1-1-1-21112-1-1-1-2111002i−2i2-2-11-11-1100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i30−1−i1+i−1+i1−i00−33−33−332i−2i−ii−ii−ii−1−i1+i−1−i1+iζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ4+ζ14−1+i1−i−1+i1−iζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ4−ζ1400000000
χ512-2-222-22-1-1-1-21112-1-1-1-211100−2i2i2-2-11-11-1100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i301−i−1+i1+i−1−i00−33−33−33−2i2ii−ii−ii−i1−i−1+i1−i−1+i−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ20+ζ221+i−1−i1+i−1−i−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ20−ζ2200000000
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χ964-4-44-444-2-2-2-42224-2-2-2-42224-400-442-22-22-244-2-2-2-2-2-2-4-42222220000000000000000000000000000000000000000000000000000000000000
χ974-4-44-444-2-2-2-42224-2-2-2-4222-4400-442-22-22-2-4-422222244-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000
χ984-4-44-44-24-2-22-422-24-2-22-4224-4002-2-442-22-2-2-244-2-2-2-222-4-422220000000000000000000000000000000000000000000000000000000000000
χ994-4-44-44-24-2-22-422-24-2-22-422-44002-2-442-22-222-4-42222-2-244-2-2-2-20000000000000000000000000000000000000000000000000000000000000
χ1004-4-44-44-2-24-222-42-2-24-222-424-4002-22-2-442-2-2-2-2-244-2-22222-4-4220000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-44-2-24-222-42-2-24-222-42-44002-22-2-442-22222-4-422-2-2-2-244-2-20000000000000000000000000000000000000000000000000000000000000
χ1024-4-44-44-2-2-24222-4-2-2-24222-44-4002-22-22-2-44-2-2-2-2-2-244222222-4-40000000000000000000000000000000000000000000000000000000000000
χ1034-4-44-44-2-2-24222-4-2-2-24222-4-44002-22-22-2-44222222-4-4-2-2-2-2-2-2440000000000000000000000000000000000000000000000000000000000000
χ10488-8-8008-4-4-48-4-4-4-8444-844400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-800-48-4-4-48-4-44-8444-84400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-800-4-48-4-4-48-444-8444-8400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-800-4-4-48-4-4-48444-8444-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8008-4-4-4-8444-84448-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-800-48-4-44-8444-844-48-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-800-4-48-444-8444-84-4-48-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-800-4-4-48444-8444-8-4-4-4800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.