Finite Group Databasebeta

← Group #11788751

Character table — Group #11788751

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order1222233444466661212366666666121212121212121212121244661212121212121212121212121212121212128888888822446666121212122424242424242424224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1
χ911-11-11111-1-111-1-1111-11-1-11-1-11111-1-111-1-1-1-1i−i1-1ii−i−i1-1iiiiii−i−i−i−i−i−iii−i−iii−i−i1-11-111-1-111-1-1ii−i−iii−i−i11-1-1i−i
χ1011-11-11111-1-111-1-1111-11-1-11-1-11111-1-111-1-1-1-1i−i1-1ii−i−i1-1iiiiii−i−i−i−i−i−iii−i−i−i−iii1-1-1111-1-1-1-111ii−i−i−i−iii-1-111−ii
χ1111-11-11111-1-111-1-1111-11-1-11-1-11111-1-111-1-1-1-1i−i1-1ii−i−i1-1iiiiii−i−i−i−i−i−i−i−iiiii−i−i-111-1-1-11111-1-1−i−iiiii−i−i-1-111−ii
χ1211-11-11111-1-111-1-1111-11-1-11-1-11111-1-111-1-1-1-1i−i1-1ii−i−i1-1iiiiii−i−i−i−i−i−i−i−iii−i−iii-11-11-1-111-1-111−i−iii−i−iii11-1-1i−i
χ1311-11-11111-1-111-1-1111-11-1-11-1-11111-1-111-1-1-1-1−ii1-1−i−iii1-1−i−i−i−i−i−iiiiiiiii−i−iii−i−i-11-11-1-111-1-111ii−i−iii−i−i11-1-1−ii
χ1411-11-11111-1-111-1-1111-11-1-11-1-11111-1-111-1-1-1-1−ii1-1−i−iii1-1−i−i−i−i−i−iiiiiiiii−i−i−i−iii-111-1-1-11111-1-1ii−i−i−i−iii-1-111i−i
χ1511-11-11111-1-111-1-1111-11-1-11-1-11111-1-111-1-1-1-1−ii1-1−i−iii1-1−i−i−i−i−i−iiiiiii−i−iiiii−i−i1-1-1111-1-1-1-111−i−iiiii−i−i-1-111i−i
χ1611-11-11111-1-111-1-1111-11-1-11-1-11111-1-111-1-1-1-1−ii1-1−i−iii1-1−i−i−i−i−i−iiiiiii−i−iii−i−iii1-11-111-1-111-1-1−i−iii−i−iii11-1-1−ii
χ172222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-200220000-2-200000000000000000000000000000000000000002-22-200
χ182222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-200220000-2-20000000000000000000000000000000000000000-22-2200
χ19222222-122222-1-1-122-12-1-12-1-1-122-1-12-1-1-1-1-12-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1222200002200-1-1-1-10000-1-1-1-10000000000
χ20222222-122222-1-1-122-12-1-12-1-1-122-1-12-1-1-1-1-12-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-20000-2-2001111000011110000000000
χ21222222-122222-1-1-122-12-1-12-1-1-122-1-12-1-1-1-1-12-1-2-2-1-11111-1-1-2-21111-2-2111122220000-2-20011110000-1-1-1-10000000000
χ22222222-122222-1-1-122-12-1-12-1-1-122-1-12-1-1-1-1-12-1-2-2-1-11111-1-1-2-21111-2-21111-2-2-2-200002200-1-1-1-1000011110000000000
χ2322222-122222-1222-1-1-1-122-1-1-1-1-1-122-12-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200220000-1-1-1-10000-1-1-1-1000000
χ2422222-122222-1222-1-1-1-122-1-1-1-1-1-122-12-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200-2-20000111100001111000000
χ2522222-122222-1222-1-1-1-122-1-1-1-1-1-122-12-1-1-1-1-12-2-2-1-1-2-2-2-2-1-11111111111110000222200-2-2000011110000-1-1-1-1000000
χ2622222-122222-1222-1-1-1-122-1-1-1-1-1-122-12-1-1-1-1-12-2-2-1-1-2-2-2-2-1-11111111111110000-2-2-2-200220000-1-1-1-100001111000000
χ27222-2-2222-22-22222222-2-2-22222-2-22-2222222-2-200-2-20000-2-200000000000000002i−2i2i−2i00000000000000002i−2i2i−2i000000
χ28222-2-2222-22-22222222-2-2-22222-2-22-2222222-2-200-2-20000-2-20000000000000000−2i2i−2i2i0000000000000000−2i2i−2i2i000000
χ29222-2-222-22-222222-2-22-2-2-22222-22-22-2-2-2-2-2-22200-2-20000220000000000002-22-200000000000000002-22-20000000000
χ30222-2-222-22-222222-2-22-2-2-22222-22-22-2-2-2-2-2-22200-2-2000022000000000000-22-220000000000000000-22-220000000000
χ31222-2-22-1-22-222-1-1-1-2-2-1-2112-1-1-1-221-1-2111112-10011−i3i3−i3i3-1-100−i3−i3i3i300−i3−i3i3i32-22-200000000−i3i3−i3i30000-11-110000000000
χ32222-2-22-1-22-222-1-1-1-2-2-1-2112-1-1-1-221-1-2111112-10011−i3i3−i3i3-1-100−i3−i3i3i300−i3−i3i3i3-22-2200000000i3−i3i3−i300001-11-10000000000
χ33222-2-22-1-22-222-1-1-1-2-2-1-2112-1-1-1-221-1-2111112-10011i3−i3i3−i3-1-100i3i3−i3−i300i3i3−i3−i32-22-200000000i3−i3i3−i30000-11-110000000000
χ34222-2-22-1-22-222-1-1-1-2-2-1-2112-1-1-1-221-1-2111112-10011i3−i3i3−i3-1-100i3i3−i3−i300i3i3−i3−i3-22-2200000000−i3i3−i3i300001-11-10000000000
χ35222-2-2-122-22-2-1222-1-1-11-2-2-1-1-1-1112-2-12-1-1-1-11-20011000011−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300002i−2i2i−2i000000003−33−30000−ii−ii000000
χ36222-2-2-122-22-2-1222-1-1-11-2-2-1-1-1-1112-2-12-1-1-1-11-20011000011−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000−2i2i−2i2i00000000−33−330000i−ii−i000000
χ37222-2-2-122-22-2-1222-1-1-11-2-2-1-1-1-1112-2-12-1-1-1-11-20011000011i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300002i−2i2i−2i00000000−33−330000−ii−ii000000
χ38222-2-2-122-22-2-1222-1-1-11-2-2-1-1-1-1112-2-12-1-1-1-11-20011000011i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000−2i2i−2i2i000000003−33−30000i−ii−i000000
χ3922-22-222-2-22222-2-2-2-22-22-2-22-2-22-2-2-222-2-22222002-20000-2200000000000000000000000000000000000000002-2-2200
χ4022-22-222-2-22222-2-2-2-22-22-2-22-2-22-2-2-222-2-22222002-20000-220000000000000000000000000000000000000000-222-200
χ4122-22-22-122-2-22-11122-1-2-11-2-11122-1-1-21-1-111-212i−2i-11−i−iii-112i2i−i−i−i−i−2i−2iiiii2i2i−2i−2i00002-200-1-1110000−i−iii0000000000
χ4222-22-22-122-2-22-11122-1-2-11-2-11122-1-1-21-1-111-212i−2i-11−i−iii-112i2i−i−i−i−i−2i−2iiiii−2i−2i2i2i0000-220011-1-10000ii−i−i0000000000
χ4322-22-22-122-2-22-11122-1-2-11-2-11122-1-1-21-1-111-21−2i2i-11ii−i−i-11−2i−2iiiii2i2i−i−i−i−i2i2i−2i−2i0000-220011-1-10000−i−iii0000000000
χ4422-22-22-122-2-22-11122-1-2-11-2-11122-1-1-21-1-111-21−2i2i-11ii−i−i-11−2i−2iiiii2i2i−i−i−i−i−2i−2i2i2i00002-200-1-1110000ii−i−i0000000000
χ4522-22-2-1222-2-2-12-2-2-1-1-112-21-111-1-1221-2-1-1111-22i−2i-112i2i−2i−2i-11−i−i−i−i−i−iiiiiii00002i2i−2i−2i002-20000-1-1110000−i−iii000000
χ4622-22-2-1222-2-2-12-2-2-1-1-112-21-111-1-1221-2-1-1111-22i−2i-112i2i−2i−2i-11−i−i−i−i−i−iiiiiii0000−2i−2i2i2i00-22000011-1-10000ii−i−i000000
χ4722-22-2-1222-2-2-12-2-2-1-1-112-21-111-1-1221-2-1-1111-2−2i2i-11−2i−2i2i2i-11iiiiii−i−i−i−i−i−i00002i2i−2i−2i00-22000011-1-10000−i−iii000000
χ4822-22-2-1222-2-2-12-2-2-1-1-112-21-111-1-1221-2-1-1111-2−2i2i-11−2i−2i2i2i-11iiiiii−i−i−i−i−i−i0000−2i−2i2i2i002-20000-1-1110000ii−i−i000000
χ4922-2-22222-2-2222-2-22222-22-22-2-2-2-22-2-2-222-2-22200-220000-2200000000000000002-2-2200000000000000002-2-22000000
χ5022-2-22222-2-2222-2-22222-22-22-2-2-2-22-2-2-222-2-22200-220000-220000000000000000-222-20000000000000000-222-2000000
χ5122-2-2222-222-222-2-2-2-222-22-22-2-2-22-2222-2-222-2-200-2200002-20000000000002i−2i−2i2i00000000000000002i−2i−2i2i0000000000
χ5222-2-2222-222-222-2-2-2-222-22-22-2-2-22-2222-2-222-2-200-2200002-2000000000000−2i2i2i−2i0000000000000000−2i2i2i−2i0000000000
χ5322-2-222-1-222-22-111-2-2-121-1-2-111-221-12-111-1-1-21001-13−3−33-110033−3−300−3−3332i−2i−2i2i00000000−i3i3i3−i30000−iii−i0000000000
χ5422-2-222-1-222-22-111-2-2-121-1-2-111-221-12-111-1-1-21001-13−3−33-110033−3−300−3−333−2i2i2i−2i00000000i3−i3−i3i30000i−i−ii0000000000
χ5522-2-222-1-222-22-111-2-2-121-1-2-111-221-12-111-1-1-21001-1−333−3-1100−3−3330033−3−32i−2i−2i2i00000000i3−i3−i3i30000−iii−i0000000000
χ5622-2-222-1-222-22-111-2-2-121-1-2-111-221-12-111-1-1-21001-1−333−3-1100−3−3330033−3−3−2i2i2i−2i00000000−i3i3i3−i30000i−i−ii0000000000
χ5722-2-22-122-2-22-12-2-2-1-1-1-1-221-111112-21-2-1-111-12001-100001-13−33−33−3−33−33−3300002-2-2200000000−333−30000-111-1000000
χ5822-2-22-122-2-22-12-2-2-1-1-1-1-221-111112-21-2-1-111-12001-100001-13−33−33−3−33−33−330000-222-2000000003−3−3300001-1-11000000
χ5922-2-22-122-2-22-12-2-2-1-1-1-1-221-111112-21-2-1-111-12001-100001-1−33−33−333−33−33−300002-2-22000000003−3−330000-111-1000000
χ6022-2-22-122-2-22-12-2-2-1-1-1-1-221-111112-21-2-1-111-12001-100001-1−33−33−333−33−33−30000-222-200000000−333−300001-1-11000000
χ61444444-2-4-4-4-44-2-2-2-4-4-24-2-24-2-2-24-422-422222-4200-2-20000220000000000000000000000000000000000000000000000
χ6244444-24-4-4-4-4-244422-2-244-2-2-2-2-22-4-42-422222-400-2-20000220000000000000000000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-21111-2-24411-2-2-2-211-2-21111-2-211110000000000000000000000000000000000
χ6444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-21111-2-2-4-41122221122-1-1-1-122-1-1-1-10000000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-222222-1-1-1-12200110000-1-1003-3-33003-3-330000000000000000000000000000000000
χ6644444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-222222-1-1-1-12200110000-1-100-333-300-333-30000000000000000000000000000000000
χ67444-4-44-24-44-44-2-2-244-2-4224-2-2-2-4-4-224-2-2-2-2-2-4200220000220000000000000000000000000000000000000000000000
χ68444-4-4-24-44-44-244422-22-4-4-2-2-2-22-2-442-42222-2400220000-2-20000000000000000000000000000000000000000000000
χ69444-4-4-2-24-44-4-2-2-2-2-2-21222-211122-22-2-211112200-1-10000-1-1−2i32i3i3−i3i3−i3−2i32i3i3−i3i3−i30000000000000000000000000000000000
χ70444-4-4-2-24-44-4-2-2-2-2-2-21222-211122-22-2-211112200-1-10000-1-12i3−2i3−i3i3−i3i32i3−2i3−i3i3−i3i30000000000000000000000000000000000
χ71444-4-4-2-2-44-44-2-2-2-2221222-21112-22-222-1-1-1-1-2-200-1-1−2i32i3−2i32i31100i3i3−i3−i300i3i3−i3−i30000000000000000000000000000000000
χ72444-4-4-2-2-44-44-2-2-2-2221222-21112-22-222-1-1-1-1-2-200-1-12i3−2i32i3−2i31100−i3−i3i3i300−i3−i3i3i30000000000000000000000000000000000
χ7344-44-44-2-4-4444-222-4-4-2-4-22-4-2224-4224-222-2-24-200-2200002-20000000000000000000000000000000000000000000000
χ7444-44-4-24-4-444-24-4-422-224-42-222-22-4-4-2422-2-2-2400-2200002-20000000000000000000000000000000000000000000000
χ7544-44-4-2-244-4-4-2-222-2-212-2221-1-1-2-2-2-22211-1-1224i−4i1-1−2i−2i2i2i1-1−2i−2iiiii2i2i−i−i−i−i0000000000000000000000000000000000
χ7644-44-4-2-244-4-4-2-222-2-212-2221-1-1-2-2-2-22211-1-122−4i4i1-12i2i−2i−2i1-12i2i−i−i−i−i−2i−2iiiii0000000000000000000000000000000000
χ7744-44-4-2-2-4-444-2-2222212-2221-1-1-2222-2-2-1-111-2-2001-10000-11003i−3i−3i3i00−3i3i3i−3i0000000000000000000000000000000000
χ7844-44-4-2-2-4-444-2-2222212-2221-1-1-2222-2-2-1-111-2-2001-10000-1100−3i3i3i−3i003i−3i−3i3i0000000000000000000000000000000000
χ7944-4-444-24-4-444-22244-242-2-4-222-4-4-22-42-2-2224-2002-200002-20000000000000000000000000000000000000000000000
χ8044-4-44-24-444-4-24-4-422-2-2-442-2222-2-44-2422-2-22-4002-20000-220000000000000000000000000000000000000000000000
χ8144-4-44-2-24-4-44-2-222-2-21-22-221-1-122-222211-1-1-2-200-110000-1123−23−33−33−23233−33−30000000000000000000000000000000000
χ8244-4-44-2-24-4-44-2-222-2-21-22-221-1-122-222211-1-1-2-200-110000-11−23233−33−323−23−33−330000000000000000000000000000000000
χ8344-4-44-2-2-444-4-2-222221-22-221-1-12-22-2-2-2-1-1112200-1123−23−23231-100−3−3330033−3−30000000000000000000000000000000000
χ8444-4-44-2-2-444-4-2-222221-22-221-1-12-22-2-2-2-1-1112200-11−232323−231-10033−3−300−3−3330000000000000000000000000000000000
χ858-8000880000-8-8000080000-80000000000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000-84−4i34i300-400004−4i34i300000000000000000000000000000000000000000000000000000000000000000000
χ878-80008-40000-844i3−4i300-4000044i3−4i300000000000000000000000000000000000000000000000000000000000000000000
χ888-8000-4800004-80043−43-4000040000000043−43000000000000000000000000000000000000000000000000000000000000
χ898-8000-4800004-800−4343-40000400000000−4343000000000000000000000000000000000000000000000000000000000000
χ908-8000-4-4000044−4i34i343−4320000-22i3−2i3000000−23236i−6i0000000000000000000000000000000000000000000000000000000000
χ918-8000-4-4000044−4i34i3−434320000-22i3−2i300000023−23−6i6i0000000000000000000000000000000000000000000000000000000000
χ928-8000-4-40000444i3−4i343−4320000-2−2i32i3000000−2323−6i6i0000000000000000000000000000000000000000000000000000000000
χ938-8000-4-40000444i3−4i3−434320000-2−2i32i300000023−236i−6i0000000000000000000000000000000000000000000000000000000000

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