Finite Group Databasebeta

← Group #11921717

Character table — Group #11921717

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111111122222222666666668888888812121212121212121212121212121212161616161616161624242424242424242424242424243636363636367272
order12224444366612121212224444443666121212128888121212122424242424242424366612121212446666121212121212121244888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ31111111111111111-1-111-1-1111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-11-111-1-11-1
χ61111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-111111-1-111-1-1-1-11-1-1-111-11
χ71111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-1-1-1-111-1-11111-11-1-111-11
χ81111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-11-1-1-1-1-1-1111111-1111-1-11-1
χ9222222222222222222222222-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100-1-1-1-10000-1-1-1-122000000
χ102222222222222222-2-222-2-222-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100111100001111-2-2000000
χ1122222222-1-1-1-1-1-1-1-100220022222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000-1-1-1-1000000000000
χ1222222222-1-1-1-1-1-1-1-10022002222222222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-2-200001111000000000000
χ132222-2-2-2-22222-2-2-2-222-2-2-2-222-1-1-1-111110000-2-22200000000-1-1-1-1111100-1-1-1-1000011112-2000000
χ142222-2-2-2-22222-2-2-2-2-2-2-2-22222-1-1-1-111110000-2-22200000000-1-1-1-111110011110000-1-1-1-1-22000000
χ152222-2-2-2-2-1-1-1-1111100-2-200222222-2-2-2-222-2-211-1-1-1-1-1-11111-1-1-1-111112-20000-1-111000000000000
χ162222-2-2-2-2-1-1-1-1111100-2-200222222-2-2-2-2-2-22211-1-11111-1-1-1-1-1-1-1-11111-22000011-1-1000000000000
χ1722-2-22i2i−2i−2i2-22-22i2i−2i−2i002i−2i002-222-2-22i2i−2i−2i00002i−2i2-20000000022-2-22i2i−2i−2i0000000000000000000000
χ1822-2-22i2i−2i−2i2-22-22i2i−2i−2i002i−2i002-2-1-111−i−iii00002i−2i2-200000000-1-111−i−iii00−i3−i3i3i3000033−3−300000000
χ1922-2-22i2i−2i−2i2-22-22i2i−2i−2i002i−2i002-2-1-111−i−iii00002i−2i2-200000000-1-111−i−iii00i3i3−i3−i30000−3−33300000000
χ2022-2-22i2i−2i−2i-11-11−i−iii002i−2i002-222-2-22i2i−2i−2i0000−ii-1133−3−3−i3−i3i3i3-1-111−i−iii0000003−3−i3i3000000000000
χ2122-2-22i2i−2i−2i-11-11−i−iii002i−2i002-222-2-22i2i−2i−2i0000−ii-11−3−333i3i3−i3−i3-1-111−i−iii000000−33i3−i3000000000000
χ2222-2-2−2i−2i2i2i2-22-2−2i−2i2i2i00−2i2i002-222-2-2−2i−2i2i2i0000−2i2i2-20000000022-2-2−2i−2i2i2i0000000000000000000000
χ2322-2-2−2i−2i2i2i2-22-2−2i−2i2i2i00−2i2i002-2-1-111ii−i−i0000−2i2i2-200000000-1-111ii−i−i00−i3−i3i3i30000−3−33300000000
χ2422-2-2−2i−2i2i2i2-22-2−2i−2i2i2i00−2i2i002-2-1-111ii−i−i0000−2i2i2-200000000-1-111ii−i−i00i3i3−i3−i3000033−3−300000000
χ2522-2-2−2i−2i2i2i-11-11ii−i−i00−2i2i002-222-2-2−2i−2i2i2i0000i−i-1133−3−3i3i3−i3−i3-1-111ii−i−i0000003−3i3−i3000000000000
χ2622-2-2−2i−2i2i2i-11-11ii−i−i00−2i2i002-222-2-2−2i−2i2i2i0000i−i-11−3−333−i3−i3i3i3-1-111ii−i−i000000−33−i3i3000000000000
χ272-22-22i−2i2i−2i2-2-222i−2i2i−2i2-2002i−2i00-11-11i−ii−i−i2i22−20000−i2i2−i2i22−22−2-11-11i−ii−i001-11-10000i−ii−i00−i2i22−200
χ282-22-22i−2i2i−2i2-2-222i−2i2i−2i2-2002i−2i00-11-11i−ii−ii2−i2−220000i2−i2i2−i2−22−22-11-11i−ii−i001-11-10000i−ii−i00i2−i2−2200
χ292-22-22i−2i2i−2i2-2-222i−2i2i−2i-2200−2i2i00-11-11i−ii−i−i2i22−20000−i2i2−i2i22−22−2-11-11i−ii−i00-11-110000−ii−ii00i2−i2−2200
χ302-22-22i−2i2i−2i2-2-222i−2i2i−2i-2200−2i2i00-11-11i−ii−ii2−i2−220000i2−i2i2−i2−22−22-11-11i−ii−i00-11-110000−ii−ii00−i2i22−200
χ312-22-2−2i2i−2i2i2-2-22−2i2i−2i2i2-200−2i2i00-11-11−ii−ii−i2i2−220000−i2i2−i2i2−22−22-11-11−ii−ii001-11-10000−ii−ii00−i2i2−2200
χ322-22-2−2i2i−2i2i2-2-22−2i2i−2i2i2-200−2i2i00-11-11−ii−iii2−i22−20000i2−i2i2−i22−22−2-11-11−ii−ii001-11-10000−ii−ii00i2−i22−200
χ332-22-2−2i2i−2i2i2-2-22−2i2i−2i2i-22002i−2i00-11-11−ii−ii−i2i2−220000−i2i2−i2i2−22−22-11-11−ii−ii00-11-110000i−ii−i00i2−i22−200
χ342-22-2−2i2i−2i2i2-2-22−2i2i−2i2i-22002i−2i00-11-11−ii−iii2−i22−20000i2−i2i2−i22−22−2-11-11−ii−ii00-11-110000i−ii−i00−i2i2−2200
χ35333333333333333333-1-133-1-1000000001111-1-1-1-11111111100000000-1-10000-1-1-1-10000-1-11111-1-1
χ36333333333333333333-1-133-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000011000011110000-1-1-1-1-1-111
χ373333333333333333-3-3-1-1-3-3-1-1000000001111-1-1-1-11111111100000000-1-10000-1-1-1-1000011-1-1-1-111
χ383333333333333333-3-3-1-1-3-3-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000011000011110000111111-1-1
χ393333-3-3-3-33333-3-3-3-33311-3-3-1-10000000011-1-111-1-11111-1-1-1-100000000-110000-1-1110000-1111-1-1-11
χ403333-3-3-3-33333-3-3-3-33311-3-3-1-100000000-1-11111-1-1-1-1-1-11111000000001-1000011-1-10000-11-1-1111-1
χ413333-3-3-3-33333-3-3-3-3-3-31133-1-10000000011-1-111-1-11111-1-1-1-100000000-110000-1-11100001-1-1-1111-1
χ423333-3-3-3-33333-3-3-3-3-3-31133-1-100000000-1-11111-1-1-1-1-1-11111000000001-1000011-1-100001-111-1-1-11
χ4344444444-2-2-2-2-2-2-2-200440044-2-2-2-2-2-2-2-20000-2-2-2-200000000111111110000000000000000000000
χ444444-4-4-4-4-2-2-2-2222200-4-40044-2-2-2-22222000022-2-2000000001111-1-1-1-10000000000000000000000
χ4544-4-44i4i−4i−4i-22-22−2i−2i2i2i004i−4i004-4-2-222−2i−2i2i2i0000−2i2i-220000000011-1-1ii−i−i0000000000000000000000
χ4644-4-4−4i−4i4i4i-22-222i2i−2i−2i00−4i4i004-4-2-2222i2i−2i−2i00002i−2i-220000000011-1-1−i−iii0000000000000000000000
χ474-44-44i−4i4i−4i4-4-444i−4i4i−4i4-4004i−4i001-11-1−ii−ii00000000000000001-11-1−ii−ii00-11-110000−ii−ii00000000
χ484-44-44i−4i4i−4i4-4-444i−4i4i−4i-4400−4i4i001-11-1−ii−ii00000000000000001-11-1−ii−ii001-11-10000i−ii−i00000000
χ494-44-44i−4i4i−4i-222-2−2i2i−2i2i00000000-22-222i−2i2i−2i−2i22i222−220000i2−i2i2−i2−22−221-11-1−ii−ii0000000000000000000000
χ504-44-44i−4i4i−4i-222-2−2i2i−2i2i00000000-22-222i−2i2i−2i2i2−2i2−22220000−i2i2−i2i22−22−21-11-1−ii−ii0000000000000000000000
χ514-44-4−4i4i−4i4i4-4-44−4i4i−4i4i4-400−4i4i001-11-1i−ii−i00000000000000001-11-1i−ii−i00-11-110000i−ii−i00000000
χ524-44-4−4i4i−4i4i4-4-44−4i4i−4i4i-44004i−4i001-11-1i−ii−i00000000000000001-11-1i−ii−i001-11-10000−ii−ii00000000
χ534-44-4−4i4i−4i4i-222-22i−2i2i−2i00000000-22-22−2i2i−2i2i−2i22i2−22220000i2−i2i2−i22−22−21-11-1i−ii−i0000000000000000000000
χ544-44-4−4i4i−4i4i-222-22i−2i2i−2i00000000-22-22−2i2i−2i2i2i2−2i222−220000−i2i2−i2i2−22−221-11-1i−ii−i0000000000000000000000
χ554-4-444-4-4444-4-44-4-44000000001-1-11-111-100000000000000001-1-11-111-100−i3i3i3−i30000−i3i3i3−i300000000
χ564-4-444-4-4444-4-44-4-44000000001-1-11-111-100000000000000001-1-11-111-100i3−i3−i3i30000i3−i3−i3i300000000
χ574-4-444-4-4444-4-44-4-4400000000-222-22-2-220000000000000000-222-22-2-220000000000000000000000
χ584-4-444-4-44-2-222-222-200000000-222-22-2-2200000000i6−i6−i6i6−i6i6i6−i61-1-11-111-10000000000000000000000
χ594-4-444-4-44-2-222-222-200000000-222-22-2-2200000000−i6i6i6−i6i6−i6−i6i61-1-11-111-10000000000000000000000
χ604-4-44-444-444-4-4-444-4000000001-1-111-1-1100000000000000001-1-111-1-1100−i3i3i3−i30000i3−i3−i3i300000000
χ614-4-44-444-444-4-4-444-4000000001-1-111-1-1100000000000000001-1-111-1-1100i3−i3−i3i30000−i3i3i3−i300000000
χ624-4-44-444-444-4-4-444-400000000-222-2-222-20000000000000000-222-2-222-20000000000000000000000
χ634-4-44-444-4-2-2222-2-2200000000-222-2-222-200000000i6−i6−i6i6i6−i6−i6i61-1-111-1-110000000000000000000000
χ644-4-44-444-4-2-2222-2-2200000000-222-2-222-200000000−i6i6i6−i6−i6i6i6−i61-1-111-1-110000000000000000000000
χ6566666666-3-3-3-3-3-3-3-300-2-200-2-20000000022221111-1-1-1-1-1-1-1-100000000-2-200001111000000000000
χ6666666666-3-3-3-3-3-3-3-300-2-200-2-200000000-2-2-2-211111111111100000000220000-1-1-1-1000000000000
χ676666-6-6-6-6-3-3-3-33333002200-2-20000000022-2-2-1-111-1-1-1-1111100000000-22000011-1-1000000000000
χ686666-6-6-6-6-3-3-3-33333002200-2-200000000-2-222-1-1111111-1-1-1-1000000002-20000-1-111000000000000
χ6966-6-66i6i−6i−6i6-66-66i6i−6i−6i00−2i2i00-22000000000000−2i2i-2200000000000000000000000000000000000000
χ7066-6-66i6i−6i−6i-33-33−3i−3i3i3i00−2i2i00-22000000000000i−i1-133−3−3−i3−i3i3i300000000000000−33i3−i3000000000000
χ7166-6-66i6i−6i−6i-33-33−3i−3i3i3i00−2i2i00-22000000000000i−i1-1−3−333i3i3−i3−i3000000000000003−3−i3i3000000000000
χ7266-6-6−6i−6i6i6i6-66-6−6i−6i6i6i002i−2i00-220000000000002i−2i-2200000000000000000000000000000000000000
χ7366-6-6−6i−6i6i6i-33-333i3i−3i−3i002i−2i00-22000000000000−ii1-133−3−3i3i3−i3−i300000000000000−33−i3i3000000000000
χ7466-6-6−6i−6i6i6i-33-333i3i−3i−3i002i−2i00-22000000000000−ii1-1−3−333−i3−i3i3i3000000000000003−3i3−i3000000000000
χ758-88-88i−8i8i−8i-444-4−4i4i−4i4i000000002-22-2−2i2i−2i2i0000000000000000-11-11i−ii−i0000000000000000000000
χ768-88-8−8i8i−8i8i-444-44i−4i4i−4i000000002-22-22i−2i2i−2i0000000000000000-11-11−ii−ii0000000000000000000000
χ778-8-888-8-88-4-444-444-4000000002-2-22-222-20000000000000000-111-11-1-110000000000000000000000
χ788-8-88-888-8-4-4444-4-44000000002-2-222-2-220000000000000000-111-1-111-10000000000000000000000

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