Finite Group Databasebeta

← Group #11771933

Character table — Group #11771933

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222222222224444444444444444444444444444888888888888888888888888888888888888888888888888888887272727272727272
order122222333366666666666622446666666666666666666666664444412121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244448888
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
χ112222222-1-1-12-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ122222222-1-1-12-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100000000
χ132222222-1-1-12-1-1-122-1-1-1-1-1-122-2-222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-20000-2-2111111-2-21111110000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i30000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i300000000
χ142222222-1-1-12-1-1-122-1-1-1-1-1-122-2-222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-20000-2-2111111-2-21111110000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i30000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i300000000
χ152222222-1-1-12-1-1-122-1-1-1-1-1-1-2-22222-1-1-1-1-1-1-2-2111111-2-2111111-20000-2-211111122-1-1-1-1-1-10000333333−3−3−3−3−3−30000−3−3−3−3−3−333333300000000
χ162222222-1-1-12-1-1-122-1-1-1-1-1-1-2-22222-1-1-1-1-1-1-2-2111111-2-2111111-20000-2-211111122-1-1-1-1-1-10000−3−3−3−3−3−33333330000333333−3−3−3−3−3−300000000
χ172222222-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-2-2111111-2-211111122i2i−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
χ182222222-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-2-2111111-2-21111112−2i−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
χ19222222-12-1-1-12-1-1-1-122-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-100000000
χ20222222-12-1-1-12-1-1-1-122-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-11111-2-21111-2-211111111-2-21111-2-2111100000000
χ21222222-12-1-1-12-1-1-1-122-1-1-1-122-2-2-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2000011-2-2111111-2-21111−i3−i3i3i300−i3−i3i3i300−i3−i3i3i3−i3−i3i3i300−i3−i3i3i300−i3−i3i3i300000000
χ22222222-12-1-1-12-1-1-1-122-1-1-1-122-2-2-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2000011-2-2111111-2-21111i3i3−i3−i300i3i3−i3−i300i3i3−i3−i3i3i3−i3−i300i3i3−i3−i300i3i3−i3−i300000000
χ23222222-12-1-1-12-1-1-1-122-1-1-1-1-2-222-1-122-1-1-1-111-2-2111111-2-21111-2000011-2-21111-1-122-1-1-1-133−3−30033−3−30033−3−3−3−33300−3−33300−3−33300000000
χ24222222-12-1-1-12-1-1-1-122-1-1-1-1-2-222-1-122-1-1-1-111-2-2111111-2-21111-2000011-2-21111-1-122-1-1-1-1−3−33300−3−33300−3−33333−3−30033−3−30033−3−300000000
χ25222222-12-1-1-12-1-1-1-122-1-1-1-1-2-2-2-2-1-122-1-1-1-111-2-2111111-2-2111122i2i−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
χ26222222-12-1-1-12-1-1-1-122-1-1-1-1-2-2-2-2-1-122-1-1-1-111-2-2111111-2-211112−2i−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
χ27222222-1-12-1-1-12-1-1-1-1-122-1-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-122222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12200000000
χ28222222-1-12-1-1-12-1-1-1-1-122-1-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-12-2-2-2-2-1-1-1-122-1-1-1-1-1-122-1-1111111-2-2111111-2-2111111-2-2111111-2-200000000
χ29222222-1-12-1-1-12-1-1-1-1-122-1-122-2-2-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-200001111-2-2111111-2-211−i3−i3i3i3i3i300−i3−i3−i3−i3i3i300−i3−i3i3i3i3i300−i3−i3−i3−i3i3i30000000000
χ30222222-1-12-1-1-12-1-1-1-1-122-1-122-2-2-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-200001111-2-2111111-2-211i3i3−i3−i3−i3−i300i3i3i3i3−i3−i300i3i3−i3−i3−i3−i300i3i3i3i3−i3−i30000000000
χ31222222-1-12-1-1-12-1-1-1-1-122-1-1-2-222-1-1-1-122-1-11111-2-2111111-2-211-200001111-2-211-1-1-1-122-1-133−3−3−3−3003333−3−300−3−3333300−3−3−3−3330000000000
χ32222222-1-12-1-1-12-1-1-1-1-122-1-1-2-222-1-1-1-122-1-11111-2-2111111-2-211-200001111-2-211-1-1-1-122-1-1−3−3333300−3−3−3−3330033−3−3−3−3003333−3−30000000000
χ33222222-1-12-1-1-12-1-1-1-1-122-1-1-2-2-2-2-1-1-1-122-1-11111-2-2111111-2-21122i2i−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
χ34222222-1-12-1-1-12-1-1-1-1-122-1-1-2-2-2-2-1-1-1-122-1-11111-2-2111111-2-2112−2i−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
χ35222222-1-1-12-1-1-12-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-122-1-100000000
χ36222222-1-1-12-1-1-12-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-12211111111-2-211-2-21111111111-2-211-2-21100000000
χ37222222-1-1-12-1-1-12-1-1-1-1-1-12222-2-2-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-20000111111-2-2111111-2-2−i3−i3i3i3−i3−i3i3i300i3i300−i3−i3−i3−i3i3i3−i3−i3i3i300i3i300−i3−i300000000
χ38222222-1-1-12-1-1-12-1-1-1-1-1-12222-2-2-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-20000111111-2-2111111-2-2i3i3−i3−i3i3i3−i3−i300−i3−i300i3i3i3i3−i3−i3i3i3−i3−i300−i3−i300i3i300000000
χ39222222-1-1-12-1-1-12-1-1-1-1-1-122-2-222-1-1-1-1-1-122111111-2-2111111-2-2-20000111111-2-2-1-1-1-1-1-12233−3−333−3−300−3−30033−3−333−3−333003300−3−300000000
χ40222222-1-1-12-1-1-12-1-1-1-1-1-122-2-222-1-1-1-1-1-122111111-2-2111111-2-2-20000111111-2-2-1-1-1-1-1-122−3−333−3−333003300−3−333−3−333−3−300−3−3003300000000
χ41222222-1-1-12-1-1-12-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-122111111-2-2111111-2-222i2i−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
χ42222222-1-1-12-1-1-12-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-122111111-2-2111111-2-22−2i−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
χ4322-2-22-222222222-2-2-2-2-2-2-2-22-2002-22-22-22-222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000002−22−2
χ4422-2-22-222222222-2-2-2-2-2-2-2-22-2002-22-22-22-222222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000−22−22
χ4522-2-22-222222222-2-2-2-2-2-2-2-2-22002-22-22-22-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000000000000000000000000−i2i2i2−i2
χ4622-2-22-222222222-2-2-2-2-2-2-2-2-22002-22-22-22-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000000000000000000000000i2−i2−i2i2
χ4722-2-2-2222222222-2-2-2-2-2-2-2-2002i−2i-22-22-22-22000000000000000001+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
χ4822-2-2-2222222222-2-2-2-2-2-2-2-2002i−2i-22-22-22-2200000000000000000−1−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
χ4922-2-2-2222222222-2-2-2-2-2-2-2-200−2i2i-22-22-22-22000000000000000001−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
χ5022-2-2-2222222222-2-2-2-2-2-2-2-200−2i2i-22-22-22-2200000000000000000−1+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
χ5122-2-2-222-1-1-12-1-1-1-2-2111111002i−2i-221-11-11-100−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
χ5222-2-2-222-1-1-12-1-1-1-2-2111111002i−2i-221-11-11-100−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
χ5322-2-2-222-1-1-12-1-1-1-2-2111111002i−2i-221-11-11-100i3−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
χ5422-2-2-222-1-1-12-1-1-1-2-2111111002i−2i-221-11-11-100i3−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
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χ5622-2-2-222-1-1-12-1-1-1-2-211111100−2i2i-221-11-11-100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i30−1+i1−i−1−i1+i00−33−33−33−2i2ii−ii−ii−i−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
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χ9344-4-44-44-2-2-24-2-2-2-4-4222222-44004-4-22-22-22-4-422222244-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000
χ9444-4-44-4-24-2-2-24-2-222-4-422224-400-224-4-22-22-2-244-2-2-2-222-4-422220000000000000000000000000000000000000000000000000000000000000
χ9544-4-44-4-24-2-2-24-2-222-4-42222-4400-224-4-22-2222-4-42222-2-244-2-2-2-20000000000000000000000000000000000000000000000000000000000000
χ9644-4-44-4-2-24-2-2-24-22222-4-4224-400-22-224-4-22-2-2-2-244-2-22222-4-4220000000000000000000000000000000000000000000000000000000000000
χ9744-4-44-4-2-24-2-2-24-22222-4-422-4400-22-224-4-222222-4-422-2-2-2-244-2-20000000000000000000000000000000000000000000000000000000000000
χ9844-4-44-4-2-2-24-2-2-24222222-4-44-400-22-22-224-4-2-2-2-2-2-244222222-4-40000000000000000000000000000000000000000000000000000000000000
χ9944-4-44-4-2-2-24-2-2-24222222-4-4-4400-22-22-224-4222222-4-4-2-2-2-2-2-2440000000000000000000000000000000000000000000000000000000000000
χ1004-44-4004444-4-4-4-44-44-44-44-40000000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i000000
χ1014-44-4004444-4-4-4-44-44-44-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i000000
χ1024-4-44004444-4-4-4-4-44-44-44-44000000000000000000000000000000000000000000000000000000000000000000000000000000000002-20000
χ1034-4-44004444-4-4-4-4-44-44-44-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000-220000
χ1048-88-8008-4-4-4-84448-8-44-44-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-800-48-4-44-844-448-8-44-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-800-4-48-444-84-44-448-8-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-800-4-4-48444-8-44-44-448-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88008-4-4-4-8444-884-44-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-8800-48-4-44-8444-4-884-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-8800-4-48-444-844-44-4-884-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-8800-4-4-48444-84-44-44-4-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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