Finite Group Databasebeta

← Group #11921865

Character table — Group #11921865

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222233336666668888121212121212121212121212161616161818242424243636363611112222333366666688881212121212121212121212121616161618182424242436363636
order124436121222446688121236121224446612121212121236121288242424248888224466121222446688121266121224446612121212121266121288242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ311111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ511-1-111-1-111-1-111i−i-1-111-1-11-11-111-1-111-1-111-1-1i−iii−i−ii−ii−i11-1-111-1-111-1-111i−i-1-111-1-11-11-111-1-111-1-111-1-1i−iii−i−ii−ii−i
χ611-1-111-1-111-1-111i−i-1-111-1-1-11-11-1-111-1-11111-1-1i−iii−i−i−ii−ii11-1-111-1-111-1-111i−i-1-111-1-1-11-11-1-111-1-11111-1-1i−iii−i−i−ii−ii
χ711-1-111-1-111-1-111−ii-1-111-1-11-11-111-1-111-1-111-1-1−ii−i−iii−ii−ii11-1-111-1-111-1-111−ii-1-111-1-11-11-111-1-111-1-111-1-1−ii−i−iii−ii−ii
χ811-1-111-1-111-1-111−ii-1-111-1-1-11-11-1-111-1-11111-1-1−ii−i−iiii−ii−i11-1-111-1-111-1-111−ii-1-111-1-1-11-11-1-111-1-11111-1-1−ii−i−iiii−ii−i
χ9222222222222222222-1-1-1-1000000000000-1-1-1-122-1-1-1-10000222222222222222222-1-1-1-1000000000000-1-1-1-122-1-1-1-10000
χ1022222222222222-2-222-1-1-1-1000000000000-1-1-1-1-2-21111000022222222222222-2-222-1-1-1-1000000000000-1-1-1-1-2-211110000
χ112222-1-1-1-12222-1-100-1-122222222-1-1-1-1-1-1-1-1-1-1-1-100000000002222-1-1-1-12222-1-100-1-122222222-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ122222-1-1-1-12222-1-100-1-12222-2-2-2-211111111-1-1-1-100000000002222-1-1-1-12222-1-100-1-12222-2-2-2-211111111-1-1-1-10000000000
χ1322-2-222-2-222-2-2222i−2i-2-2-1-111000000000000-1-1112i−2i−i−iii000022-2-222-2-222-2-2222i−2i-2-2-1-111000000000000-1-1112i−2i−i−iii0000
χ1422-2-222-2-222-2-222−2i2i-2-2-1-111000000000000-1-111−2i2iii−i−i000022-2-222-2-222-2-222−2i2i-2-2-1-111000000000000-1-111−2i2iii−i−i0000
χ1522-2-2-1-11122-2-2-1-1001122-2-22-22-2-1-111-1-111-1-111000000000022-2-2-1-11122-2-2-1-1001122-2-22-22-2-1-111-1-111-1-1110000000000
χ1622-2-2-1-11122-2-2-1-1001122-2-2-22-2211-1-111-1-1-1-111000000000022-2-2-1-11122-2-2-1-1001122-2-2-22-2211-1-111-1-1-1-1110000000000
χ172-22i−2i2-22i−2i2-22i−2i2-2002i−2i2-22i−2i0000000000002-22i−2i00000000002-22i−2i2-22i−2i2-22i−2i2-2002i−2i2-22i−2i0000000000002-22i−2i0000000000
χ182-22i−2i2-22i−2i2-22i−2i2-2002i−2i-11−ii000000000000-11−ii00−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300002-22i−2i2-22i−2i2-22i−2i2-2002i−2i-11−ii000000000000-11−ii00−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000
χ192-22i−2i2-22i−2i2-22i−2i2-2002i−2i-11−ii000000000000-11−ii00ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300002-22i−2i2-22i−2i2-22i−2i2-2002i−2i-11−ii000000000000-11−ii00ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000
χ202-22i−2i-11−ii2-22i−2i-1100−ii2-22i−2i0000−i3i33−3−i3i33−3-11−ii00000000002-22i−2i-11−ii2-22i−2i-1100−ii2-22i−2i0000−i3i33−3−i3i33−3-11−ii0000000000
χ212-22i−2i-11−ii2-22i−2i-1100−ii2-22i−2i0000i3−i3−33i3−i3−33-11−ii00000000002-22i−2i-11−ii2-22i−2i-1100−ii2-22i−2i0000i3−i3−33i3−i3−33-11−ii0000000000
χ222-2−2i2i2-2−2i2i2-2−2i2i2-200−2i2i2-2−2i2i0000000000002-2−2i2i00000000002-2−2i2i2-2−2i2i2-2−2i2i2-200−2i2i2-2−2i2i0000000000002-2−2i2i0000000000
χ232-2−2i2i2-2−2i2i2-2−2i2i2-200−2i2i-11i−i000000000000-11i−i00ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300002-2−2i2i2-2−2i2i2-2−2i2i2-200−2i2i-11i−i000000000000-11i−i00ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000
χ242-2−2i2i2-2−2i2i2-2−2i2i2-200−2i2i-11i−i000000000000-11i−i00−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300002-2−2i2i2-2−2i2i2-2−2i2i2-200−2i2i-11i−i000000000000-11i−i00−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000
χ252-2−2i2i-11i−i2-2−2i2i-1100i−i2-2−2i2i0000−i3i3−33−i3i3−33-11i−i00000000002-2−2i2i-11i−i2-2−2i2i-1100i−i2-2−2i2i0000−i3i3−33−i3i3−33-11i−i0000000000
χ262-2−2i2i-11i−i2-2−2i2i-1100i−i2-2−2i2i0000i3−i33−3i3−i33−3-11i−i00000000002-2−2i2i-11i−i2-2−2i2i-1100i−i2-2−2i2i0000i3−i33−3i3−i33−3-11i−i0000000000
χ2733333333-1-1-1-1-1-133-1-1000011-1-11111-1-1-1-10000-1-1000011-1-133333333-1-1-1-1-1-133-1-1000011-1-11111-1-1-1-10000-1-1000011-1-1
χ2833333333-1-1-1-1-1-133-1-10000-1-111-1-1-1-111110000-1-10000-1-11133333333-1-1-1-1-1-133-1-10000-1-111-1-1-1-111110000-1-10000-1-111
χ2933333333-1-1-1-1-1-1-3-3-1-1000011-1-11111-1-1-1-10000110000-1-11133333333-1-1-1-1-1-1-3-3-1-1000011-1-11111-1-1-1-10000110000-1-111
χ3033333333-1-1-1-1-1-1-3-3-1-10000-1-111-1-1-1-11111000011000011-1-133333333-1-1-1-1-1-1-3-3-1-10000-1-111-1-1-1-11111000011000011-1-1
χ3133-3-333-3-3-1-111-1-13i−3i1100001-1-1111-1-1-1-1110000−ii0000i−i−ii33-3-333-3-3-1-111-1-13i−3i1100001-1-1111-1-1-1-1110000−ii0000i−i−ii
χ3233-3-333-3-3-1-111-1-13i−3i110000-111-1-1-11111-1-10000−ii0000−iii−i33-3-333-3-3-1-111-1-13i−3i110000-111-1-1-11111-1-10000−ii0000−iii−i
χ3333-3-333-3-3-1-111-1-1−3i3i1100001-1-1111-1-1-1-1110000i−i0000−iii−i33-3-333-3-3-1-111-1-1−3i3i1100001-1-1111-1-1-1-1110000i−i0000−iii−i
χ3433-3-333-3-3-1-111-1-1−3i3i110000-111-1-1-11111-1-10000i−i0000i−i−ii33-3-333-3-3-1-111-1-1−3i3i110000-111-1-1-11111-1-10000i−i0000i−i−ii
χ354444-2-2-2-24444-2-200-2-2-2-2-2-2000000000000111100000000004444-2-2-2-24444-2-200-2-2-2-2-2-200000000000011110000000000
χ3644-4-4-2-22244-4-4-2-20022-2-22200000000000011-1-1000000000044-4-4-2-22244-4-4-2-20022-2-22200000000000011-1-10000000000
χ374-44i−4i-22−2i2i4-44i−4i-2200−2i2i-22−2i2i0000000000001-1i−i00000000004-44i−4i-22−2i2i4-44i−4i-2200−2i2i-22−2i2i0000000000001-1i−i0000000000
χ384-4−4i4i-222i−2i4-4−4i4i-22002i−2i-222i−2i0000000000001-1−ii00000000004-4−4i4i-222i−2i4-4−4i4i-22002i−2i-222i−2i0000000000001-1−ii0000000000
χ396666-3-3-3-3-2-2-2-2110011000022-2-2-1-1-1-11111000000000000006666-3-3-3-3-2-2-2-2110011000022-2-2-1-1-1-1111100000000000000
χ406666-3-3-3-3-2-2-2-21100110000-2-2221111-1-1-1-1000000000000006666-3-3-3-3-2-2-2-21100110000-2-2221111-1-1-1-100000000000000
χ4166-6-6-3-333-2-2221100-1-100002-2-22-1-11111-1-10000000000000066-6-6-3-333-2-2221100-1-100002-2-22-1-11111-1-100000000000000
χ4266-6-6-3-333-2-2221100-1-10000-222-211-1-1-1-1110000000000000066-6-6-3-333-2-2221100-1-10000-222-211-1-1-1-11100000000000000
χ436-66i−6i6-66i−6i-22−2i2i-2200−2i2i0000000000000000000000000000006-66i−6i6-66i−6i-22−2i2i-2200−2i2i000000000000000000000000000000
χ446-66i−6i-33−3i3i-22−2i2i1-100i−i00000000−i3i33−3i3−i3−33000000000000006-66i−6i-33−3i3i-22−2i2i1-100i−i00000000−i3i33−3i3−i3−3300000000000000
χ456-66i−6i-33−3i3i-22−2i2i1-100i−i00000000i3−i3−33−i3i33−3000000000000006-66i−6i-33−3i3i-22−2i2i1-100i−i00000000i3−i3−33−i3i33−300000000000000
χ466-6−6i6i6-6−6i6i-222i−2i-22002i−2i0000000000000000000000000000006-6−6i6i6-6−6i6i-222i−2i-22002i−2i000000000000000000000000000000
χ476-6−6i6i-333i−3i-222i−2i1-100−ii00000000−i3i3−33i3−i33−3000000000000006-6−6i6i-333i−3i-222i−2i1-100−ii00000000−i3i3−33i3−i33−300000000000000
χ486-6−6i6i-333i−3i-222i−2i1-100−ii00000000i3−i33−3−i3i3−33000000000000006-6−6i6i-333i−3i-222i−2i1-100−ii00000000i3−i33−3−i3i3−3300000000000000
χ49111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ501111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ5211111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1
χ5311-1-111-1-111-1-111i−i-1-111-1-11-11-111-1-111-1-111-1-1i−iii−i−ii−ii−i-1-111-1-111-1-111-1-1−ii11-1-111-11-11-1-111-1-111-1-111−ii−i−iii−ii−ii
χ5411-1-111-1-111-1-111i−i-1-111-1-1-11-11-1-111-1-11111-1-1i−iii−i−i−ii−ii-1-111-1-111-1-111-1-1−ii11-1-1111-11-111-1-111-1-1-1-111−ii−i−iiii−ii−i
χ5511-1-111-1-111-1-111−ii-1-111-1-11-11-111-1-111-1-111-1-1−ii−i−iii−ii−ii-1-111-1-111-1-111-1-1i−i11-1-111-11-11-1-111-1-111-1-111i−iii−i−ii−ii−i
χ5611-1-111-1-111-1-111−ii-1-111-1-1-11-11-1-111-1-11111-1-1−ii−i−iiii−ii−i-1-111-1-111-1-111-1-1i−i11-1-1111-11-111-1-111-1-1-1-111i−iii−i−i−ii−ii
χ57222222222222222222-1-1-1-1000000000000-1-1-1-122-1-1-1-10000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211110000000000001111-2-211110000
χ5822222222222222-2-222-1-1-1-1000000000000-1-1-1-1-2-211110000-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-21111000000000000111122-1-1-1-10000
χ592222-1-1-1-12222-1-100-1-122222222-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-2-2-21111-2-2-2-2110011-2-2-2-2-2-2-2-21111111111110000000000
χ602222-1-1-1-12222-1-100-1-12222-2-2-2-211111111-1-1-1-10000000000-2-2-2-21111-2-2-2-2110011-2-2-2-22222-1-1-1-1-1-1-1-111110000000000
χ6122-2-222-2-222-2-2222i−2i-2-2-1-111000000000000-1-1112i−2i−i−iii0000-2-222-2-222-2-222-2-2−2i2i2211-1-100000000000011-1-1−2i2iii−i−i0000
χ6222-2-222-2-222-2-222−2i2i-2-2-1-111000000000000-1-111−2i2iii−i−i0000-2-222-2-222-2-222-2-22i−2i2211-1-100000000000011-1-12i−2i−i−iii0000
χ6322-2-2-1-11122-2-2-1-1001122-2-22-22-2-1-111-1-111-1-1110000000000-2-22211-1-1-2-2221100-1-1-2-222-22-2211-1-111-1-111-1-10000000000
χ6422-2-2-1-11122-2-2-1-1001122-2-2-22-2211-1-111-1-1-1-1110000000000-2-22211-1-1-2-2221100-1-1-2-2222-22-2-1-111-1-11111-1-10000000000
χ652-22i−2i2-22i−2i2-22i−2i2-2002i−2i2-22i−2i0000000000002-22i−2i0000000000-22−2i2i-22−2i2i-22−2i2i-2200−2i2i-22−2i2i000000000000-22−2i2i0000000000
χ662-22i−2i2-22i−2i2-22i−2i2-2002i−2i-11−ii000000000000-11−ii00−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000-22−2i2i-22−2i2i-22−2i2i-2200−2i2i1-1i−i0000000000001-1i−i00ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000
χ672-22i−2i2-22i−2i2-22i−2i2-2002i−2i-11−ii000000000000-11−ii00ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000-22−2i2i-22−2i2i-22−2i2i-2200−2i2i1-1i−i0000000000001-1i−i00−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000
χ682-22i−2i-11−ii2-22i−2i-1100−ii2-22i−2i0000−i3i33−3−i3i33−3-11−ii0000000000-22−2i2i1-1i−i-22−2i2i1-100i−i-22−2i2i0000i3−i3−33i3−i3−331-1i−i0000000000
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χ702-2−2i2i2-2−2i2i2-2−2i2i2-200−2i2i2-2−2i2i0000000000002-2−2i2i0000000000-222i−2i-222i−2i-222i−2i-22002i−2i-222i−2i000000000000-222i−2i0000000000
χ712-2−2i2i2-2−2i2i2-2−2i2i2-200−2i2i-11i−i000000000000-11i−i00ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000-222i−2i-222i−2i-222i−2i-22002i−2i1-1−ii0000000000001-1−ii00−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000
χ722-2−2i2i2-2−2i2i2-2−2i2i2-200−2i2i-11i−i000000000000-11i−i00−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000-222i−2i-222i−2i-222i−2i-22002i−2i1-1−ii0000000000001-1−ii00ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000
χ732-2−2i2i-11i−i2-2−2i2i-1100i−i2-2−2i2i0000−i3i3−33−i3i3−33-11i−i0000000000-222i−2i1-1−ii-222i−2i1-100−ii-222i−2i0000i3−i33−3i3−i33−31-1−ii0000000000
χ742-2−2i2i-11i−i2-2−2i2i-1100i−i2-2−2i2i0000i3−i33−3i3−i33−3-11i−i0000000000-222i−2i1-1−ii-222i−2i1-100−ii-222i−2i0000−i3i3−33−i3i3−331-1−ii0000000000
χ7533333333-1-1-1-1-1-133-1-1000011-1-11111-1-1-1-10000-1-1000011-1-1-3-3-3-3-3-3-3-3111111-3-3110000-1-111-1-1-1-111110000110000-1-111
χ7633333333-1-1-1-1-1-133-1-10000-1-111-1-1-1-111110000-1-10000-1-111-3-3-3-3-3-3-3-3111111-3-311000011-1-11111-1-1-1-1000011000011-1-1
χ7733333333-1-1-1-1-1-1-3-3-1-1000011-1-11111-1-1-1-10000110000-1-111-3-3-3-3-3-3-3-311111133110000-1-111-1-1-1-111110000-1-1000011-1-1
χ7833333333-1-1-1-1-1-1-3-3-1-10000-1-111-1-1-1-11111000011000011-1-1-3-3-3-3-3-3-3-31111113311000011-1-11111-1-1-1-10000-1-10000-1-111
χ7933-3-333-3-3-1-111-1-13i−3i1100001-1-1111-1-1-1-1110000−ii0000i−i−ii-3-333-3-33311-1-111−3i3i-1-10000-111-1-1-11111-1-10000i−i0000−iii−i
χ8033-3-333-3-3-1-111-1-13i−3i110000-111-1-1-11111-1-10000−ii0000−iii−i-3-333-3-33311-1-111−3i3i-1-100001-1-1111-1-1-1-1110000i−i0000i−i−ii
χ8133-3-333-3-3-1-111-1-1−3i3i1100001-1-1111-1-1-1-1110000i−i0000−iii−i-3-333-3-33311-1-1113i−3i-1-10000-111-1-1-11111-1-10000−ii0000i−i−ii
χ8233-3-333-3-3-1-111-1-1−3i3i110000-111-1-1-11111-1-10000i−i0000i−i−ii-3-333-3-33311-1-1113i−3i-1-100001-1-1111-1-1-1-1110000−ii0000−iii−i
χ834444-2-2-2-24444-2-200-2-2-2-2-2-200000000000011110000000000-4-4-4-42222-4-4-4-42200222222000000000000-1-1-1-10000000000
χ8444-4-4-2-22244-4-4-2-20022-2-22200000000000011-1-10000000000-4-44422-2-2-4-4442200-2-222-2-2000000000000-1-1110000000000
χ854-44i−4i-22−2i2i4-44i−4i-2200−2i2i-22−2i2i0000000000001-1i−i0000000000-44−4i4i2-22i−2i-44−4i4i2-2002i−2i2-22i−2i000000000000-11−ii0000000000
χ864-4−4i4i-222i−2i4-4−4i4i-22002i−2i-222i−2i0000000000001-1−ii0000000000-444i−4i2-2−2i2i-444i−4i2-200−2i2i2-2−2i2i000000000000-11i−i0000000000
χ876666-3-3-3-3-2-2-2-2110011000022-2-2-1-1-1-1111100000000000000-6-6-6-633332222-1-100-1-10000-2-2221111-1-1-1-100000000000000
χ886666-3-3-3-3-2-2-2-21100110000-2-2221111-1-1-1-100000000000000-6-6-6-633332222-1-100-1-1000022-2-2-1-1-1-1111100000000000000
χ8966-6-6-3-333-2-2221100-1-100002-2-22-1-11111-1-100000000000000-6-66633-3-322-2-2-1-100110000-222-211-1-1-1-11100000000000000
χ9066-6-6-3-333-2-2221100-1-10000-222-211-1-1-1-11100000000000000-6-66633-3-322-2-2-1-1001100002-2-22-1-11111-1-100000000000000
χ916-66i−6i6-66i−6i-22−2i2i-2200−2i2i000000000000000000000000000000-66−6i6i-66−6i6i2-22i−2i2-2002i−2i000000000000000000000000000000
χ926-66i−6i-33−3i3i-22−2i2i1-100i−i00000000−i3i33−3i3−i3−3300000000000000-66−6i6i3-33i−3i2-22i−2i-1100−ii00000000i3−i3−33−i3i33−300000000000000
χ936-66i−6i-33−3i3i-22−2i2i1-100i−i00000000i3−i3−33−i3i33−300000000000000-66−6i6i3-33i−3i2-22i−2i-1100−ii00000000−i3i33−3i3−i3−3300000000000000
χ946-6−6i6i6-6−6i6i-222i−2i-22002i−2i000000000000000000000000000000-666i−6i-666i−6i2-2−2i2i2-200−2i2i000000000000000000000000000000
χ956-6−6i6i-333i−3i-222i−2i1-100−ii00000000−i3i3−33i3−i33−300000000000000-666i−6i3-3−3i3i2-2−2i2i-1100i−i00000000i3−i33−3−i3i3−3300000000000000
χ966-6−6i6i-333i−3i-222i−2i1-100−ii00000000i3−i33−3−i3i3−3300000000000000-666i−6i3-3−3i3i2-2−2i2i-1100i−i00000000−i3i3−33i3−i33−300000000000000

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