Finite Group Databasebeta

← Group #11797106

Character table — Group #11797106

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122222222244444448888881212121224242244444444488888881616161616162424242448483366666666612121212121212242424242424363636367272
order122344688121268122424242488242424241616161644366312126242412126241224242424242424242424484848481212222644688121268122424242488242424241616161644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-11111-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111
χ511-111-1111-1-1-1-1111-1-1i−iii−i−i11-1-1i−i11-111-1111-1-1-1-1111-1-1i−iii−i−i11-1-1i−i11-111-1111-1-1-1-1111-1-1i−iii−i−i11-1-1i−i
χ611-111-1111-1-1-1-1111-1-1i−iii−i−i-1-111−ii11-111-1111-1-1-1-1111-1-1i−iii−i−i-1-111−ii11-111-1111-1-1-1-1111-1-1i−iii−i−i-1-111−ii
χ711-111-1111-1-1-1-1111-1-1−ii−i−iii11-1-1−ii11-111-1111-1-1-1-1111-1-1−ii−i−iii11-1-1−ii11-111-1111-1-1-1-1111-1-1−ii−i−iii11-1-1−ii
χ811-111-1111-1-1-1-1111-1-1−ii−i−iii-1-111i−i11-111-1111-1-1-1-1111-1-1−ii−i−iii-1-111i−i11-111-1111-1-1-1-1111-1-1−ii−i−iii-1-111i−i
χ92222222-2-2222-22-2-2-2-20000000000002222222-2-2222-22-2-2-2-20000000000002222222-2-2222-22-2-2-2-2000000000000
χ102222-2-2200-2-220-20000000000−i2i2−i2i2002222-2-2200-2-220-20000000000−i2i2−i2i2002222-2-2200-2-220-20000000000−i2i2−i2i200
χ112222-2-2200-2-220-20000000000i2−i2i2−i2002222-2-2200-2-220-20000000000i2−i2i2−i2002222-2-2200-2-220-20000000000i2−i2i2−i200
χ12222-122-122-1-1-12-1-1-1-1-122-1-1-1-1000000222-122-122-1-1-12-1-1-1-1-122-1-1-1-1000000222-122-122-1-1-12-1-1-1-1-122-1-1-1-1000000
χ13222-122-122-1-1-12-1-1-1-1-1-2-21111000000222-122-122-1-1-12-1-1-1-1-1-2-21111000000222-122-122-1-1-12-1-1-1-1-1-2-21111000000
χ14222-122-1-2-2-1-1-1-2-1111100−i3i3−i3i3000000222-122-1-2-2-1-1-1-2-1111100−i3i3−i3i3000000222-122-1-2-2-1-1-1-2-1111100−i3i3−i3i3000000
χ15222-122-1-2-2-1-1-1-2-1111100i3−i3i3−i3000000222-122-1-2-2-1-1-1-2-1111100i3−i3i3−i3000000222-122-1-2-2-1-1-1-2-1111100i3−i3i3−i3000000
χ1622-222-22-2-2-2-2-222-2-22200000000000022-222-22-2-2-2-2-222-2-22200000000000022-222-22-2-2-2-2-222-2-222000000000000
χ1722-22-2220022-20-20000000000−i2i2i2−i20022-22-2220022-20-20000000000−i2i2i2−i20022-22-2220022-20-20000000000−i2i2i2−i200
χ1822-22-2220022-20-20000000000i2−i2−i2i20022-22-2220022-20-20000000000i2−i2−i2i20022-22-2220022-20-20000000000i2−i2−i2i200
χ1922-2-12-2-122111-2-1-1-1112i−2i−i−iii00000022-2-12-2-122111-2-1-1-1112i−2i−i−iii00000022-2-12-2-122111-2-1-1-1112i−2i−i−iii000000
χ2022-2-12-2-122111-2-1-1-111−2i2iii−i−i00000022-2-12-2-122111-2-1-1-111−2i2iii−i−i00000022-2-12-2-122111-2-1-1-111−2i2iii−i−i000000
χ2122-2-12-2-1-2-21112-111-1-1003−3−3300000022-2-12-2-1-2-21112-111-1-1003−3−3300000022-2-12-2-1-2-21112-111-1-1003−3−33000000
χ2222-2-12-2-1-2-21112-111-1-100−333−300000022-2-12-2-1-2-21112-111-1-100−333−300000022-2-12-2-1-2-21112-111-1-100−333−3000000
χ23444-2-4-4-20022-2020000000000000000444-2-4-4-20022-2020000000000000000444-2-4-4-20022-2020000000000000000
χ2444-4-2-44-200-2-2202000000000000000044-4-2-44-200-2-2202000000000000000044-4-2-44-200-2-22020000000000000000
χ254-40400-4−2i22i200000−2i22i2000000000000004-40400-4−2i22i200000−2i22i2000000000000004-40400-4−2i22i200000−2i22i200000000000000
χ264-40400-42i2−2i2000002i2−2i2000000000000004-40400-42i2−2i2000002i2−2i2000000000000004-40400-42i2−2i2000002i2−2i200000000000000
χ274-40-2002−2i22i223−23000i2−i2i6−i60000000000004-40-2002−2i22i223−23000i2−i2i6−i60000000000004-40-2002−2i22i223−23000i2−i2i6−i6000000000000
χ284-40-2002−2i22i2−2323000i2−i2−i6i60000000000004-40-2002−2i22i2−2323000i2−i2−i6i60000000000004-40-2002−2i22i2−2323000i2−i2−i6i6000000000000
χ294-40-20022i2−2i223−23000−i2i2−i6i60000000000004-40-20022i2−2i223−23000−i2i2−i6i60000000000004-40-20022i2−2i223−23000−i2i2−i6i6000000000000
χ304-40-20022i2−2i2−2323000−i2i2i6−i60000000000004-40-20022i2−2i2−2323000−i2i2i6−i60000000000004-40-20022i2−2i2−2323000−i2i2i6−i6000000000000
χ31111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ32111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ33111111111111111111-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ34111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ3511-111-1111-1-1-1-1111-1-1i−iii−i−i11-1-1i−i11-111-1111-1-1-1-1111-1-1i−iii−i−i11-1-1i−i-1-11-1-11-1-1-11111-1-1-111−ii−i−iii-1-111−ii
χ3611-111-1111-1-1-1-1111-1-1i−iii−i−i-1-111−ii11-111-1111-1-1-1-1111-1-1i−iii−i−i-1-111−ii-1-11-1-11-1-1-11111-1-1-111−ii−i−iii11-1-1i−i
χ3711-111-1111-1-1-1-1111-1-1−ii−i−iii11-1-1−ii11-111-1111-1-1-1-1111-1-1−ii−i−iii11-1-1−ii-1-11-1-11-1-1-11111-1-1-111i−iii−i−i-1-111i−i
χ3811-111-1111-1-1-1-1111-1-1−ii−i−iii-1-111i−i11-111-1111-1-1-1-1111-1-1−ii−i−iii-1-111i−i-1-11-1-11-1-1-11111-1-1-111i−iii−i−i11-1-1−ii
χ392222222-2-2222-22-2-2-2-20000000000002222222-2-2222-22-2-2-2-2000000000000-2-2-2-2-2-2-222-2-2-22-22222000000000000
χ402222-2-2200-2-220-20000000000−i2i2−i2i2002222-2-2200-2-220-20000000000−i2i2−i2i200-2-2-2-222-20022-2020000000000i2−i2i2−i200
χ412222-2-2200-2-220-20000000000i2−i2i2−i2002222-2-2200-2-220-20000000000i2−i2i2−i200-2-2-2-222-20022-2020000000000−i2i2−i2i200
χ42222-122-122-1-1-12-1-1-1-1-122-1-1-1-1000000222-122-122-1-1-12-1-1-1-1-122-1-1-1-1000000-2-2-21-2-21-2-2111-211111-2-21111000000
χ43222-122-122-1-1-12-1-1-1-1-1-2-21111000000222-122-122-1-1-12-1-1-1-1-1-2-21111000000-2-2-21-2-21-2-2111-21111122-1-1-1-1000000
χ44222-122-1-2-2-1-1-1-2-1111100−i3i3−i3i3000000222-122-1-2-2-1-1-1-2-1111100−i3i3−i3i3000000-2-2-21-2-212211121-1-1-1-100i3−i3i3−i3000000
χ45222-122-1-2-2-1-1-1-2-1111100i3−i3i3−i3000000222-122-1-2-2-1-1-1-2-1111100i3−i3i3−i3000000-2-2-21-2-212211121-1-1-1-100−i3i3−i3i3000000
χ4622-222-22-2-2-2-2-222-2-22200000000000022-222-22-2-2-2-2-222-2-222000000000000-2-22-2-22-222222-2-222-2-2000000000000
χ4722-22-2220022-20-20000000000−i2i2i2−i20022-22-2220022-20-20000000000−i2i2i2−i200-2-22-22-2-200-2-22020000000000i2−i2−i2i200
χ4822-22-2220022-20-20000000000i2−i2−i2i20022-22-2220022-20-20000000000i2−i2−i2i200-2-22-22-2-200-2-22020000000000−i2i2i2−i200
χ4922-2-12-2-122111-2-1-1-1112i−2i−i−iii00000022-2-12-2-122111-2-1-1-1112i−2i−i−iii000000-2-221-221-2-2-1-1-12111-1-1−2i2iii−i−i000000
χ5022-2-12-2-122111-2-1-1-111−2i2iii−i−i00000022-2-12-2-122111-2-1-1-111−2i2iii−i−i000000-2-221-221-2-2-1-1-12111-1-12i−2i−i−iii000000
χ5122-2-12-2-1-2-21112-111-1-1003−3−3300000022-2-12-2-1-2-21112-111-1-1003−3−33000000-2-221-22122-1-1-1-21-1-11100−333−3000000
χ5222-2-12-2-1-2-21112-111-1-100−333−300000022-2-12-2-1-2-21112-111-1-100−333−3000000-2-221-22122-1-1-1-21-1-111003−3−33000000
χ53444-2-4-4-20022-2020000000000000000444-2-4-4-20022-2020000000000000000-4-4-4244200-2-220-20000000000000000
χ5444-4-2-44-200-2-2202000000000000000044-4-2-44-200-2-22020000000000000000-4-4424-420022-20-20000000000000000
χ554-40400-4−2i22i200000−2i22i2000000000000004-40400-4−2i22i200000−2i22i200000000000000-440-40042i2−2i2000002i2−2i200000000000000
χ564-40400-42i2−2i2000002i2−2i2000000000000004-40400-42i2−2i2000002i2−2i200000000000000-440-4004−2i22i200000−2i22i200000000000000
χ574-40-2002−2i22i223−23000i2−i2i6−i60000000000004-40-2002−2i22i223−23000i2−i2i6−i6000000000000-440200-22i2−2i2−2323000−i2i2−i6i6000000000000
χ584-40-2002−2i22i2−2323000i2−i2−i6i60000000000004-40-2002−2i22i2−2323000i2−i2−i6i6000000000000-440200-22i2−2i223−23000−i2i2i6−i6000000000000
χ594-40-20022i2−2i223−23000−i2i2−i6i60000000000004-40-20022i2−2i223−23000−i2i2−i6i6000000000000-440200-2−2i22i2−2323000i2−i2i6−i6000000000000
χ604-40-20022i2−2i2−2323000−i2i2i6−i60000000000004-40-20022i2−2i2−2323000−i2i2i6−i6000000000000-440200-2−2i22i223−23000i2−i2−i6i6000000000000
χ61222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000
χ62222222222222222222222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111000000000000000000000000000000
χ63222222222222222222-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111000000000000000000000000000000
χ64222222222222222222-2-2-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1000000000000000000000000000000
χ6522-222-2222-2-2-2-2222-2-22i−2i2i2i−2i−2i22-2-22i−2i-1-11-1-11-1-1-11111-1-1-111−ii−i−iii-1-111−ii000000000000000000000000000000
χ6622-222-2222-2-2-2-2222-2-22i−2i2i2i−2i−2i-2-222−2i2i-1-11-1-11-1-1-11111-1-1-111−ii−i−iii11-1-1i−i000000000000000000000000000000
χ6722-222-2222-2-2-2-2222-2-2−2i2i−2i−2i2i2i22-2-2−2i2i-1-11-1-11-1-1-11111-1-1-111i−iii−i−i-1-111i−i000000000000000000000000000000
χ6822-222-2222-2-2-2-2222-2-2−2i2i−2i−2i2i2i-2-2222i−2i-1-11-1-11-1-1-11111-1-1-111i−iii−i−i11-1-1−ii000000000000000000000000000000
χ694444444-4-4444-44-4-4-4-4000000000000-2-2-2-2-2-2-222-2-2-22-22222000000000000000000000000000000000000000000
χ704444-4-4400-4-440-40000000000−2i22i2−2i22i200-2-2-2-222-20022-2020000000000i2−i2i2−i200000000000000000000000000000000
χ714444-4-4400-4-440-400000000002i2−2i22i2−2i200-2-2-2-222-20022-2020000000000−i2i2−i2i200000000000000000000000000000000
χ72444-244-244-2-2-24-2-2-2-2-244-2-2-2-2000000-2-2-21-2-21-2-2111-211111-2-21111000000000000000000000000000000000000
χ73444-244-244-2-2-24-2-2-2-2-2-4-42222000000-2-2-21-2-21-2-2111-21111122-1-1-1-1000000000000000000000000000000000000
χ74444-244-2-4-4-2-2-2-4-2222200−2i32i3−2i32i3000000-2-2-21-2-212211121-1-1-1-100i3−i3i3−i3000000000000000000000000000000000000
χ75444-244-2-4-4-2-2-2-4-22222002i3−2i32i3−2i3000000-2-2-21-2-212211121-1-1-1-100−i3i3−i3i3000000000000000000000000000000000000
χ7644-444-44-4-4-4-4-444-4-444000000000000-2-22-2-22-222222-2-222-2-2000000000000000000000000000000000000000000
χ7744-44-4440044-40-40000000000−2i22i22i2−2i200-2-22-22-2-200-2-22020000000000i2−i2−i2i200000000000000000000000000000000
χ7844-44-4440044-40-400000000002i2−2i2−2i22i200-2-22-22-2-200-2-22020000000000−i2i2i2−i200000000000000000000000000000000
χ7944-4-24-4-244222-4-2-2-2224i−4i−2i−2i2i2i000000-2-221-221-2-2-1-1-12111-1-1−2i2iii−i−i000000000000000000000000000000000000
χ8044-4-24-4-244222-4-2-2-222−4i4i2i2i−2i−2i000000-2-221-221-2-2-1-1-12111-1-12i−2i−i−iii000000000000000000000000000000000000
χ8144-4-24-4-2-4-42224-222-2-20023−23−2323000000-2-221-22122-1-1-1-21-1-11100−333−3000000000000000000000000000000000000
χ8244-4-24-4-2-4-42224-222-2-200−232323−23000000-2-221-22122-1-1-1-21-1-111003−3−33000000000000000000000000000000000000
χ83888-4-8-8-40044-4040000000000000000-4-4-4244200-2-220-20000000000000000000000000000000000000000000000
χ8488-8-4-88-400-4-44040000000000000000-4-4424-420022-20-20000000000000000000000000000000000000000000000
χ858-80800-8−4i24i200000−4i24i200000000000000-440-40042i2−2i2000002i2−2i200000000000000000000000000000000000000000000
χ868-80800-84i2−4i2000004i2−4i200000000000000-440-4004−2i22i200000−2i22i200000000000000000000000000000000000000000000
χ878-80-4004−4i24i243−430002i2−2i22i6−2i6000000000000-440200-22i2−2i2−2323000−i2i2−i6i6000000000000000000000000000000000000000000
χ888-80-4004−4i24i2−43430002i2−2i2−2i62i6000000000000-440200-22i2−2i223−23000−i2i2i6−i6000000000000000000000000000000000000000000
χ898-80-40044i2−4i243−43000−2i22i2−2i62i6000000000000-440200-2−2i22i2−2323000i2−i2i6−i6000000000000000000000000000000000000000000
χ908-80-40044i2−4i2−4343000−2i22i22i6−2i6000000000000-440200-2−2i22i223−23000i2−i2−i6i6000000000000000000000000000000000000000000

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