Finite Group Databasebeta

← Group #11788787

Character table — Group #11788787

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11222222222222222444444444444444444444444888888888888888888882424242424242424242424242424242424242424242424243636363636363636
order1222233444466121212123444466666666612121212121212121212661212121212121212121212121212121212122444668888121212121212242424242424242422224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1
χ911-11-11111-1-11111-1-11ii−i−i-11-1-1-11-1-111-111-111-1-1-11-11-1iiiiiiii−i−i−i−i−i−i−i−i1-11-111i−ii−i-1-111-1-1ii−i−iii−i−i11-1-1ii−i−i
χ1011-11-11111-1-11111-1-11ii−i−i-11-1-1-11-1-111-111-111-1-1-11-11-1iiiiiiii−i−i−i−i−i−i−i−i1-1-1111i−i−ii-1-1-1-111ii−i−i−i−iii-1-111−i−iii
χ1111-11-11111-1-11111-1-11ii−i−i-11-1-1-11-1-111-111-111-1-1-11-11-1iiiiiiii−i−i−i−i−i−i−i−i-111-1-1-1−iii−i1111-1-1−i−iiiii−i−i-1-111−i−iii
χ1211-11-11111-1-11111-1-11ii−i−i-11-1-1-11-1-111-111-111-1-1-11-11-1iiiiiiii−i−i−i−i−i−i−i−i-11-11-1-1−ii−ii11-1-111−i−iii−i−iii11-1-1ii−i−i
χ1311-11-11111-1-11111-1-11−i−iii-11-1-1-11-1-111-111-111-1-1-11-11-1−i−i−i−i−i−i−i−iiiiiiiii1-11-111−ii−ii-1-111-1-1−i−iii−i−iii11-1-1−i−iii
χ1411-11-11111-1-11111-1-11−i−iii-11-1-1-11-1-111-111-111-1-1-11-11-1−i−i−i−i−i−i−i−iiiiiiiii1-1-1111−iii−i-1-1-1-111−i−iiiii−i−i-1-111ii−i−i
χ1511-11-11111-1-11111-1-11−i−iii-11-1-1-11-1-111-111-111-1-1-11-11-1−i−i−i−i−i−i−i−iiiiiiiii-111-1-1-1i−i−ii1111-1-1ii−i−i−i−iii-1-111ii−i−i
χ1611-11-11111-1-11111-1-11−i−iii-11-1-1-11-1-111-111-111-1-1-11-11-1−i−i−i−i−i−i−i−iiiiiiiii-11-11-1-1i−ii−i11-1-111ii−i−iii−i−i11-1-1−i−iii
χ172222222-2-2-2-222-2-2-2-220000222222222-2-2-2-2-2-2-2-2-2-222-2-200000000000000000000000000000000000000002-22-20000
χ182222222-2-2-2-222-2-2-2-220000222222222-2-2-2-2-2-2-2-2-2-222-2-20000000000000000000000000000000000000000-22-220000
χ19222222-122222-122-1-1-122222-1-12-1-1-1-1222-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12200-1-12200-1-10000-1-1-1-1000000000000
χ20222222-122222-122-1-1-122222-1-12-1-1-1-1222-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-20011-2-2001100001111000000000000
χ21222222-122222-122-1-1-1-2-2-2-22-1-12-1-1-1-1222-1-1-1-1-1-1-12-1-1-1-1-2-2111111-2-21111112200-1-1-2-200-1-100001111000000000000
χ22222222-122222-122-1-1-1-2-2-2-22-1-12-1-1-1-1222-1-1-1-1-1-1-12-1-1-1-1-2-2111111-2-2111111-2-200112200110000-1-1-1-1000000000000
χ2322222-122222-12-1-122-12222-122-12-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1002200002200-1-1-1-10000-1-1-1-100000000
χ2422222-122222-12-1-122-12222-122-12-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100-2-20000-2-20011110000111100000000
χ2522222-122222-12-1-122-1-2-2-2-2-122-12-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-111-2-2111111-2-2111100220000-2-200-1-1-1-10000111100000000
χ2622222-122222-12-1-122-1-2-2-2-2-122-12-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-111-2-2111111-2-2111100-2-20000220011110000-1-1-1-100000000
χ27222-2-2222-22-22222-2-222i−2i2i−2i2-22-2-22-2-2-2-2-22-2222-2-22-22-222i−2i2i−2i2i2i−2i−2i2i−2i2i−2i2i2i−2i−2i00000000000000000000000000000000
χ28222-2-2222-22-22222-2-22−2i2i−2i2i2-22-2-22-2-2-2-2-22-2222-2-22-22-22−2i2i−2i2i−2i−2i2i2i−2i2i−2i2i−2i−2i2i2i00000000000000000000000000000000
χ29222-2-222-22-2222-2-222200002-22-2-22-2-2-222-22-2-2-222-2-222-2000000000000000000000000000000000000000000002i−2i2i−2i
χ30222-2-222-22-2222-2-222200002-22-2-22-2-2-222-22-2-2-222-2-222-200000000000000000000000000000000000000000000−2i2i−2i2i
χ31222-2-22-12-22-22-12211-12i−2i2i−2i21-1-21-111-2-2-2-11-1-1-11121-11-12i−2i−ii−i−iii2i−2i−ii−i−iii0000−i3i30000−i3i300003−33−3000000000000
χ32222-2-22-12-22-22-12211-12i−2i2i−2i21-1-21-111-2-2-2-11-1-1-11121-11-12i−2i−ii−i−iii2i−2i−ii−i−iii0000i3−i30000i3−i30000−33−33000000000000
χ33222-2-22-12-22-22-12211-1−2i2i−2i2i21-1-21-111-2-2-2-11-1-1-11121-11-1−2i2ii−iii−i−i−2i2ii−iii−i−i0000−i3i30000−i3i30000−33−33000000000000
χ34222-2-22-12-22-22-12211-1−2i2i−2i2i21-1-21-111-2-2-2-11-1-1-11121-11-1−2i2ii−iii−i−i−2i2ii−iii−i−i0000i3−i30000i3−i300003−33−3000000000000
χ35222-2-2-122-22-2-12-1-1-2-2-12i−2i2i−2i-1-221-2-1111112-22-1-111-11-11-1−ii2i−2i−i−iii−ii2i−2i−i−iii0000000000003−33−30000−i3i3−i3i300000000
χ36222-2-2-122-22-2-12-1-1-2-2-12i−2i2i−2i-1-221-2-1111112-22-1-111-11-11-1−ii2i−2i−i−iii−ii2i−2i−i−iii000000000000−33−330000i3−i3i3−i300000000
χ37222-2-2-122-22-2-12-1-1-2-2-1−2i2i−2i2i-1-221-2-1111112-22-1-111-11-11-1i−i−2i2iii−i−ii−i−2i2iii−i−i0000000000003−33−30000i3−i3i3−i300000000
χ38222-2-2-122-22-2-12-1-1-2-2-1−2i2i−2i2i-1-221-2-1111112-22-1-111-11-11-1i−i−2i2iii−i−ii−i−2i2iii−i−i000000000000−33−330000−i3i3−i3i300000000
χ3922-22-222-2-22222-2-22220000-22-2-2-22-2-22-22-2-22-2-22222-2-2200000000000000000000000000000000000000002-2-220000
χ4022-22-222-2-22222-2-22220000-22-2-2-22-2-22-22-2-22-2-22222-2-220000000000000000000000000000000000000000-222-20000
χ4122-22-22-122-2-22-12211-12i2i−2i−2i-2-11-21-11122-2-1-11-1-111-2-11-112i2i−i−i−i−i−i−i−2i−2iiiiiii2-200-1-12i−2i00110000−i−iii000000000000
χ4222-22-22-122-2-22-12211-12i2i−2i−2i-2-11-21-11122-2-1-11-1-111-2-11-112i2i−i−i−i−i−i−i−2i−2iiiiiii-220011−2i2i00-1-10000ii−i−i000000000000
χ4322-22-22-122-2-22-12211-1−2i−2i2i2i-2-11-21-11122-2-1-11-1-111-2-11-11−2i−2iiiiiii2i2i−i−i−i−i−i−i2-200-1-1−2i2i00110000ii−i−i000000000000
χ4422-22-22-122-2-22-12211-1−2i−2i2i2i-2-11-21-11122-2-1-11-1-111-2-11-11−2i−2iiiiiii2i2i−i−i−i−i−i−i-2200112i−2i00-1-10000−i−iii000000000000
χ4522-22-2-1222-2-2-12-1-1-2-2-12i2i−2i−2i12-21-2-111-1-1122-2-1-1111-11-11−i−i2i2i−i−i−i−iii−2i−2iiiii002-200002i−2i00-1-1110000−i−iii00000000
χ4622-22-2-1222-2-2-12-1-1-2-2-12i2i−2i−2i12-21-2-111-1-1122-2-1-1111-11-11−i−i2i2i−i−i−i−iii−2i−2iiiii00-220000−2i2i0011-1-10000ii−i−i00000000
χ4722-22-2-1222-2-2-12-1-1-2-2-1−2i−2i2i2i12-21-2-111-1-1122-2-1-1111-11-11ii−2i−2iiiii−i−i2i2i−i−i−i−i002-20000−2i2i00-1-1110000ii−i−i00000000
χ4822-22-2-1222-2-2-12-1-1-2-2-1−2i−2i2i2i12-21-2-111-1-1122-2-1-1111-11-11ii−2i−2iiiii−i−i2i2i−i−i−i−i00-2200002i−2i0011-1-10000−i−iii00000000
χ4922-2-22222-2-2222222222-2-22-2-2-222222-2-222-2-22222-2-2-2-2-22-22-222-2-2-22-22-2-22200000000000000000000000000000000
χ5022-2-22222-2-222222222-222-2-2-2-222222-2-222-2-22222-2-2-2-2-2-22-22-2-2222-22-222-2-200000000000000000000000000000000
χ5122-2-2222-222-222-2-2-2-220000-2-2-222222-22-2-222-2-2-2-22-2-222000000000000000000000000000000000000000000002-2-22
χ5222-2-2222-222-222-2-2-2-220000-2-2-222222-22-2-222-2-2-2-22-2-22200000000000000000000000000000000000000000000-222-2
χ5322-2-222-12-2-222-122-1-1-12-2-22-2112-1-1-1-1-2-22-111-1-1-1-1-211112-2-11-1-111-221-111-1-10000−i3i30000i3−i30000−i3i3i3−i3000000000000
χ5422-2-222-12-2-222-122-1-1-12-2-22-2112-1-1-1-1-2-22-111-1-1-1-1-211112-2-11-1-111-221-111-1-10000i3−i30000−i3i30000i3−i3−i3i3000000000000
χ5522-2-222-12-2-222-122-1-1-1-222-2-2112-1-1-1-1-2-22-111-1-1-1-1-21111-221-111-1-12-2-11-1-1110000−i3i30000i3−i30000i3−i3−i3i3000000000000
χ5622-2-222-12-2-222-122-1-1-1-222-2-2112-1-1-1-1-2-22-111-1-1-1-1-21111-221-111-1-12-2-11-1-1110000i3−i30000−i3i30000−i3i3i3−i3000000000000
χ5722-2-22-122-2-22-12-1-122-12-2-221-2-2-12-1-1-111-12-2-2-1-1-1-111111-112-2-1-1111-1-2211-1-10000000000003−3−330000−333−300000000
χ5822-2-22-122-2-22-12-1-122-12-2-221-2-2-12-1-1-111-12-2-2-1-1-1-111111-112-2-1-1111-1-2211-1-1000000000000−333−300003−3−3300000000
χ5922-2-22-122-2-22-12-1-122-1-222-21-2-2-12-1-1-111-12-2-2-1-1-1-1111111-1-2211-1-1-112-2-1-1110000000000003−3−3300003−3−3300000000
χ6022-2-22-122-2-22-12-1-122-1-222-21-2-2-12-1-1-111-12-2-2-1-1-1-1111111-1-2211-1-1-112-2-1-111000000000000−333−30000−333−300000000
χ61444444-2-4-4-4-44-2-4-422-200004-2-24-2-2-2-24-4-42222222-4-2-222000000000000000000000000000000000000000000000000
χ6244444-24-4-4-4-4-2422-4-4-20000-244-24-2-2-2-222-4-4-422222-2-222000000000000000000000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-2-214444-2-2-2-2-2111-2-2-2-2-2-21111-21111-2-2-2-21111-2-2-2-2111100000000000000000000000000000000
χ6444444-2-24444-2-2-2-2-2-21-4-4-4-4-2-2-2-2-2111-2-2-2-2-2-21111-211112222-1-1-1-12222-1-1-1-100000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-2222210000-2-2-2-2-2111-222222-1-1-1-1211-1-100003-33-300003-33-300000000000000000000000000000000
χ6644444-2-2-4-4-4-4-2-2222210000-2-2-2-2-2111-222222-1-1-1-1211-1-10000-33-330000-33-3300000000000000000000000000000000
χ67444-4-44-2-44-444-2-4-4-2-2-2000042-2-42-222-4442-2222-2-2-42-2-22000000000000000000000000000000000000000000000000
χ68444-4-4-24-44-44-242244-20000-2-442-4-2222-2-2-44-422-2-222-2-22000000000000000000000000000000000000000000000000
χ69444-4-4-2-24-44-4-2-2-2-22214i−4i4i−4i-22-2221-1-1222-22-211-1-1-2-11-11−2i2i−2i2iii−i−i−2i2i−2i2iii−i−i00000000000000000000000000000000
χ70444-4-4-2-24-44-4-2-2-2-2221−4i4i−4i4i-22-2221-1-1222-22-211-1-1-2-11-112i−2i2i−2i−i−iii2i−2i2i−2i−i−iii00000000000000000000000000000000
χ71444-4-4-2-2-44-44-2-222-2-210000-22-2221-1-12-2-22-22-1-1112-111-100003i−3i−3i3i00003i−3i−3i3i00000000000000000000000000000000
χ72444-4-4-2-2-44-44-2-222-2-210000-22-2221-1-12-2-22-22-1-1112-111-10000−3i3i3i−3i0000−3i3i3i−3i00000000000000000000000000000000
χ7344-44-44-2-4-4444-2-4-4-2-2-20000-4-22-42-2224-4422-222-2-24-222-2000000000000000000000000000000000000000000000000
χ7444-44-4-24-4-444-242244-2000024-42-4-222-22-2-4-4422-2-2-2-222-2000000000000000000000000000000000000000000000000
χ7544-44-4-2-244-4-4-2-2-2-22214i4i−4i−4i2-22221-1-1-2-22-2-2211-1-121-11-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i00000000000000000000000000000000
χ7644-44-4-2-244-4-4-2-2-2-2221−4i−4i4i4i2-22221-1-1-2-22-2-2211-1-121-11-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii00000000000000000000000000000000
χ7744-44-4-2-2-4-444-2-222-2-2100002-22221-1-1-22-222-2-1-111-21-1-1100003i−3i3i−3i0000−3i3i−3i3i00000000000000000000000000000000
χ7844-44-4-2-2-4-444-2-222-2-2100002-22221-1-1-22-222-2-1-111-21-1-110000−3i3i−3i3i00003i−3i3i−3i00000000000000000000000000000000
χ7944-4-444-2-444-44-2-4-422-20000-4224-2-2-2-2-44-42-2-22222422-2-2000000000000000000000000000000000000000000000000
χ8044-4-44-24-444-4-2422-4-4-200002-4-4-24-2-2-22-22-4442222-222-2-2000000000000000000000000000000000000000000000000
χ8144-4-44-2-24-4-44-2-2-2-2-2-214-4-44222-2-211122-2-22211112-1-1-1-1-22-2211-1-12-22-2-1-11100000000000000000000000000000000
χ8244-4-44-2-24-4-44-2-2-2-2-2-21-444-4222-2-211122-2-22211112-1-1-1-12-22-2-1-111-22-2211-1-100000000000000000000000000000000
χ8344-4-44-2-2-444-4-2-2222210000222-2-21112-222-2-2-1-1-1-1-2-1-11100003-3-330000-333-300000000000000000000000000000000
χ8444-4-44-2-2-444-4-2-2222210000222-2-21112-222-2-2-1-1-1-1-2-1-1110000-333-300003-3-3300000000000000000000000000000000
χ858-8000880000-8-800008000000000-800000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000-840043−43-40000000004000000000043−4300000000000000000000000000000000000000000000000000000
χ878-80008-40000-8400−4343-400000000040000000000−434300000000000000000000000000000000000000000000000000000
χ888-8000-4800004-843−4300-400000000040000000043−430000000000000000000000000000000000000000000000000000000
χ898-8000-4800004-8−434300-4000000000400000000−43430000000000000000000000000000000000000000000000000000000
χ908-8000-4-400004443−4343−432000000000-26-6000000−2323−232300000000000000000000000000000000000000000000000000000
χ918-8000-4-400004443−43−43432000000000-2-66000000−232323−2300000000000000000000000000000000000000000000000000000
χ928-8000-4-4000044−434343−432000000000-2-6600000023−23−232300000000000000000000000000000000000000000000000000000
χ938-8000-4-4000044−4343−43432000000000-26-600000023−2323−2300000000000000000000000000000000000000000000000000000

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