Finite Group Databasebeta

← Group #11920664

Character table — Group #11920664

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111111122222222666666668888888812121212121212121212121212121212161616161616161624242424242424242424242424243636363636367272
order122222223666666644444444366666668888121212122424242424242424366666664412121212121212121212121244888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ31111111111111111-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111-1-1-1-11111-1-1-11-1ii−i−i1-1-111111-1-1-1-1ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1i−iii−i−iiiii−i−i−i−ii−i11-1-11-1
χ6111-1-1-1-11111-1-1-11-1ii−i−i1-1-111111-1-1-1-1−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−ii−i−iiiiiii−i−i−i−ii−i-1-111-11
χ7111-1-1-1-11111-1-1-11-1−i−iii1-1-111111-1-1-1-1ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1i−iii−i−i−i−i−i−iiiii−ii-1-111-11
χ8111-1-1-1-11111-1-1-11-1−i−iii1-1-111111-1-1-1-1−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−ii−i−iii−i−i−i−iiiii−ii11-1-11-1
χ9222222222222222222222222-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000000-1-1-1-1-1-1-1-122000000
χ102222222222222222-2-2-2-22222-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100000011111111-2-2000000
χ1122222222-1-1-1-1-1-1-1-100002222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10000000000000000
χ1222222222-1-1-1-1-1-1-1-10000222222222222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-2-211110000000000000000
χ13222-2-2-2-22222-2-2-22-22i2i−2i−2i2-2-22-1-1-1-11111000022-2-200000000-1-1-1-11111000000−i−i−i−iiiii2i−2i000000
χ14222-2-2-2-22222-2-2-22-2−2i−2i2i2i2-2-22-1-1-1-11111000022-2-200000000-1-1-1-11111000000iiii−i−i−i−i−2i2i000000
χ15222-2-2-2-22-1-1-1111-1100002-2-222222-2-2-2-22i2i−2i−2i-1-111−i−i−i−iiiii-1-1-1-111112i−2i−i−iii0000000000000000
χ16222-2-2-2-22-1-1-1111-1100002-2-222222-2-2-2-2−2i−2i2i2i-1-111iiii−i−i−i−i-1-1-1-11111−2i2iii−i−i0000000000000000
χ1722-222-2-2-222-222-2-2-22-22-20000-111-111-1-12−22−2000022−2−222−2−2-111-111-1-100000011-1-111-1-1002−22−200
χ1822-222-2-2-222-222-2-2-22-22-20000-111-111-1-1−22−220000−2−222−2−222-111-111-1-100000011-1-111-1-100−22−2200
χ1922-222-2-2-222-222-2-2-2-22-220000-111-111-1-12−22−2000022−2−222−2−2-111-111-1-1000000-1-111-1-11100−22−2200
χ2022-222-2-2-222-222-2-2-2-22-220000-111-111-1-1−22−220000−2−222−2−222-111-111-1-1000000-1-111-1-111002−22−200
χ2122-2-2-222-222-2-2-22-222i−2i−2i2i0000-111-1-1-111−i2i2i2−i20000−i2−i2i2i2i2i2−i2−i2-111-1-1-111000000ii−i−i−i−iii00−222−200
χ2222-2-2-222-222-2-2-22-222i−2i−2i2i0000-111-1-1-111i2−i2−i2i20000i2i2−i2−i2−i2−i2i2i2-111-1-1-111000000ii−i−i−i−iii002−2−2200
χ2322-2-2-222-222-2-2-22-22−2i2i2i−2i0000-111-1-1-111−i2i2i2−i20000−i2−i2i2i2i2i2−i2−i2-111-1-1-111000000−i−iiiii−i−i002−2−2200
χ2422-2-2-222-222-2-2-22-22−2i2i2i−2i0000-111-1-1-111i2−i2−i2i20000i2i2−i2−i2−i2−i2i2i2-111-1-1-111000000−i−iiiii−i−i00−222−200
χ252-2-22-22-222-2-22-2-2220000-2-22222-2-22-22-200002-2-220000000022-2-22-22-20000000000000000000000
χ262-2-22-22-222-2-22-2-2220000-2-222-1-111-11-1100002-2-2200000000-1-111-11-110000003−33−33−33−300000000
χ272-2-22-22-222-2-22-2-2220000-2-222-1-111-11-1100002-2-2200000000-1-111-11-11000000−33−33−33−3300000000
χ282-2-22-22-22-111-111-1-10000-2-22222-2-22-22-20000-111-1−i3i3−i3i3−i3i3−i3i3-1-111-11-1100−i3i3−i3i30000000000000000
χ292-2-22-22-22-111-111-1-10000-2-22222-2-22-22-20000-111-1i3−i3i3−i3i3−i3i3−i3-1-111-11-1100i3−i3i3−i30000000000000000
χ302-2-2-22-2222-2-2-2222-20000-22-2222-2-2-22-2200002-22-20000000022-2-2-22-220000000000000000000000
χ312-2-2-22-2222-2-2-2222-20000-22-22-1-1111-11-100002-22-200000000-1-1111-11-1000000−i3i3−i3i3i3−i3i3−i300000000
χ322-2-2-22-2222-2-2-2222-20000-22-22-1-1111-11-100002-22-200000000-1-1111-11-1000000i3−i3i3−i3−i3i3−i3i300000000
χ332-2-2-22-222-1111-1-1-110000-22-2222-2-2-22-220000-11-113−33−3−33−33-1-1111-11-1003−3−330000000000000000
χ342-2-2-22-222-1111-1-1-110000-22-2222-2-2-22-220000-11-11−33−333−33−3-1-1111-11-100−333−30000000000000000
χ3533333333333333333333-1-1-1-1000000001111-1-1-1-11111111100000000-1-1-1-1-1-100000000-1-11111-1-1
χ3633333333333333333333-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000011111100000000-1-1-1-1-1-111
χ373333333333333333-3-3-3-3-1-1-1-1000000001111-1-1-1-11111111100000000-1-1-1-1-1-10000000011-1-1-1-111
χ383333333333333333-3-3-3-3-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000011111100000000111111-1-1
χ39333-3-3-3-33333-3-3-33-33i3i−3i−3i-111-100000000ii−i−i-1-111iiii−i−i−i−i00000000−ii−i−iii00000000−ii11-1-1-11
χ40333-3-3-3-33333-3-3-33-33i3i−3i−3i-111-100000000−i−iii-1-111−i−i−i−iiiii00000000i−iii−i−i00000000−ii-1-1111-1
χ41333-3-3-3-33333-3-3-33-3−3i−3i3i3i-111-100000000ii−i−i-1-111iiii−i−i−i−i00000000−ii−i−iii00000000i−i-1-1111-1
χ42333-3-3-3-33333-3-3-33-3−3i−3i3i3i-111-100000000−i−iii-1-111−i−i−i−iiiii00000000i−iii−i−i00000000i−i11-1-1-11
χ4344444444-2-2-2-2-2-2-2-200004444-2-2-2-2-2-2-2-20000-2-2-2-200000000111111110000000000000000000000
χ44444-4-4-4-44-2-2-2222-2200004-4-44-2-2-2-222220000-2-222000000001111-1-1-1-10000000000000000000000
χ4544-444-4-4-444-444-4-4-44-44-400001-1-11-1-11100000000000000001-1-11-1-111000000-1-111-1-11100000000
χ4644-444-4-4-444-444-4-4-4-44-4400001-1-11-1-11100000000000000001-1-11-1-11100000011-1-111-1-100000000
χ4744-444-4-4-4-2-22-2-222200000000-222-222-2-222−2222−220000−2−222−2−2221-1-11-1-1110000000000000000000000
χ4844-444-4-4-4-2-22-2-222200000000-222-222-2-2−2222−2222000022−2−222−2−21-1-11-1-1110000000000000000000000
χ4944-4-4-444-444-4-4-44-444i−4i−4i4i00001-1-1111-1-100000000000000001-1-1111-1-1000000−i−iiiii−i−i00000000
χ5044-4-4-444-444-4-4-44-44−4i4i4i−4i00001-1-1111-1-100000000000000001-1-1111-1-1000000ii−i−i−i−iii00000000
χ5144-4-4-444-4-2-2222-22-200000000-222-2-2-222−2i22i22i2−2i20000i2i2−i2−i2−i2−i2i2i21-1-1111-1-10000000000000000000000
χ5244-4-4-444-4-2-2222-22-200000000-222-2-2-2222i2−2i2−2i22i20000−i2−i2i2i2i2i2−i2−i21-1-1111-1-10000000000000000000000
χ534-444-4-44-44-444-44-4-4000000001-11-1-111-100000000000000001-11-1-111-10000003−3−333−3−3300000000
χ544-444-4-44-44-444-44-4-4000000001-11-1-111-100000000000000001-11-1-111-1000000−333−3−333−300000000
χ554-444-4-44-44-444-44-4-400000000-22-222-2-220000000000000000-22-222-2-220000000000000000000000
χ564-444-4-44-4-22-2-22-22200000000-22-222-2-2200000000i6−i6−i6i6i6−i6−i6i61-11-1-111-10000000000000000000000
χ574-444-4-44-4-22-2-22-22200000000-22-222-2-2200000000−i6i6i6−i6−i6i6i6−i61-11-1-111-10000000000000000000000
χ584-44-444-4-44-44-44-4-44000000001-11-11-1-1100000000000000001-11-11-1-11000000−i3i3i3−i3i3−i3−i3i300000000
χ594-44-444-4-44-44-44-4-44000000001-11-11-1-1100000000000000001-11-11-1-11000000i3−i3−i3i3−i3i3i3−i300000000
χ604-44-444-4-44-44-44-4-4400000000-22-22-222-20000000000000000-22-22-222-20000000000000000000000
χ614-44-444-4-4-22-22-222-200000000-22-22-222-2000000006−6−66−666−61-11-11-1-110000000000000000000000
χ624-44-444-4-4-22-22-222-200000000-22-22-222-200000000−666−66−6−661-11-11-1-110000000000000000000000
χ634-4-44-44-44-222-222-2-20000-4-444-2-222-22-220000-222-20000000011-1-11-11-10000000000000000000000
χ644-4-4-44-444-2222-2-2-220000-44-44-2-2222-22-20000-22-220000000011-1-1-11-110000000000000000000000
χ6566666666-3-3-3-3-3-3-3-30000-2-2-2-20000000022221111-1-1-1-1-1-1-1-100000000-2-211110000000000000000
χ6666666666-3-3-3-3-3-3-3-30000-2-2-2-200000000-2-2-2-21111111111110000000022-1-1-1-10000000000000000
χ67666-6-6-6-66-3-3-3333-330000-222-2000000002i2i−2i−2i11-1-1−i−i−i−iiiii00000000−2i2iii−i−i0000000000000000
χ68666-6-6-6-66-3-3-3333-330000-222-200000000−2i−2i2i2i11-1-1iiii−i−i−i−i000000002i−2i−i−iii0000000000000000
χ696-6-66-66-666-6-66-6-666000022-2-2000000000000-222-200000000000000000000000000000000000000
χ706-6-66-66-66-333-333-3-3000022-2-20000000000001-1-11−i3i3−i3i3−i3i3−i3i30000000000i3−i3i3−i30000000000000000
χ716-6-66-66-66-333-333-3-3000022-2-20000000000001-1-11i3−i3i3−i3i3−i3i3−i30000000000−i3i3−i3i30000000000000000
χ726-6-6-66-6666-6-6-6666-600002-22-2000000000000-22-2200000000000000000000000000000000000000
χ736-6-6-66-666-3333-3-3-3300002-22-20000000000001-11-13−33−3−33−330000000000−333−30000000000000000
χ746-6-6-66-666-3333-3-3-3300002-22-20000000000001-11-1−33−333−33−300000000003−3−330000000000000000
χ7588-888-8-8-8-4-44-4-4444000000002-2-22-2-2220000000000000000-111-111-1-10000000000000000000000
χ7688-8-8-888-8-4-4444-44-4000000002-2-2222-2-20000000000000000-111-1-1-1110000000000000000000000
χ778-888-8-88-8-44-4-44-444000000002-22-2-222-20000000000000000-11-111-1-110000000000000000000000
χ788-88-888-8-8-44-44-444-4000000002-22-22-2-220000000000000000-11-11-111-10000000000000000000000

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