Finite Group Databasebeta

← Group #11921702

Character table — Group #11921702

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111111122222222666666668888888812121212121212121212121212121212161616161616161624242424242424242424242424243636363636367272
order122244443666121212122244444436661212121288881212121224242424242424243666121212122466666612121212121244888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1
χ31111111111111111-1-111-1-111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ51111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-11-111-1-1-11
χ61111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-11-1-1111111-1-1-1-11-1-1-1111-1
χ71111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11-111-1-1-1-1-1-11111-11-1-1111-1
χ81111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-11-1-1-1-1-1-1111111-1111-1-1-11
χ9222222222222222222222222-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-10000-1-1-1-100-1-1-1-122000000
χ102222222222222222-2-222-2-222-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100001111001111-2-2000000
χ1122222222-1-1-1-1-1-1-1-100220022222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-10000-1-1000000000000
χ1222222222-1-1-1-1-1-1-1-10022002222222222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-2-211000011000000000000
χ132222-2-2-2-22222-2-2-2-222-2-2-2-222-1-1-1-111110000-2-22200000000-1-1-1-111110000-1-1-1-10011112-2000000
χ142222-2-2-2-22222-2-2-2-2-2-2-2-22222-1-1-1-111110000-2-22200000000-1-1-1-111110000111100-1-1-1-1-22000000
χ152222-2-2-2-2-1-1-1-1111100-2-200222222-2-2-2-222-2-211-1-1-1-1-1-11111-1-1-1-111112-2-1-1000011000000000000
χ162222-2-2-2-2-1-1-1-1111100-2-200222222-2-2-2-2-2-22211-1-11111-1-1-1-1-1-1-1-11111-22110000-1-1000000000000
χ1722-2-22i2i−2i−2i22-2-22i2i−2i−2i002i−2i002-222-2-22i2i−2i−2i00002i−2i2-20000000022-2-22i2i−2i−2i0000000000000000000000
χ1822-2-22i2i−2i−2i22-2-22i2i−2i−2i002i−2i002-2-1-111−i−iii00002i−2i2-200000000-1-111−i−iii0000−i3−i3i3i30033−3−300000000
χ1922-2-22i2i−2i−2i22-2-22i2i−2i−2i002i−2i002-2-1-111−i−iii00002i−2i2-200000000-1-111−i−iii0000i3i3−i3−i300−3−33300000000
χ2022-2-22i2i−2i−2i-1-111−i−iii002i−2i002-222-2-22i2i−2i−2i0000−ii-11−i3−i3i3i333−3−3-1-111−i−iii00−i3i300003−3000000000000
χ2122-2-22i2i−2i−2i-1-111−i−iii002i−2i002-222-2-22i2i−2i−2i0000−ii-11i3i3−i3−i3−3−333-1-111−i−iii00i3−i30000−33000000000000
χ2222-2-2−2i−2i2i2i22-2-2−2i−2i2i2i00−2i2i002-222-2-2−2i−2i2i2i0000−2i2i2-20000000022-2-2−2i−2i2i2i0000000000000000000000
χ2322-2-2−2i−2i2i2i22-2-2−2i−2i2i2i00−2i2i002-2-1-111ii−i−i0000−2i2i2-200000000-1-111ii−i−i0000−i3−i3i3i300−3−33300000000
χ2422-2-2−2i−2i2i2i22-2-2−2i−2i2i2i00−2i2i002-2-1-111ii−i−i0000−2i2i2-200000000-1-111ii−i−i0000i3i3−i3−i30033−3−300000000
χ2522-2-2−2i−2i2i2i-1-111ii−i−i00−2i2i002-222-2-2−2i−2i2i2i0000i−i-11−i3−i3i3i3−3−333-1-111ii−i−i00−i3i30000−33000000000000
χ2622-2-2−2i−2i2i2i-1-111ii−i−i00−2i2i002-222-2-2−2i−2i2i2i0000i−i-11i3i3−i3−i333−3−3-1-111ii−i−i00i3−i300003−3000000000000
χ272-2-222-22-22-2-222-22-22-2002-200-111-11-11-1−i2i2−i2i20000−i2i2−i2i2−i2i2−i2i2-111-11-11-100001-11-1001-11-100−i2i2−i2i200
χ282-2-222-22-22-2-222-22-22-2002-200-111-11-11-1i2−i2i2−i20000i2−i2i2−i2i2−i2i2−i2-111-11-11-100001-11-1001-11-100i2−i2i2−i200
χ292-2-222-22-22-2-222-22-2-2200-2200-111-11-11-1−i2i2−i2i20000−i2i2−i2i2−i2i2−i2i2-111-11-11-10000-11-1100-11-1100i2−i2i2−i200
χ302-2-222-22-22-2-222-22-2-2200-2200-111-11-11-1i2−i2i2−i20000i2−i2i2−i2i2−i2i2−i2-111-11-11-10000-11-1100-11-1100−i2i2−i2i200
χ312-2-22-22-222-2-22-22-222-200-2200-111-1-11-11−i2i2i2−i20000−i2i2−i2i2i2−i2i2−i2-111-1-11-1100001-11-100-11-1100−i2i2i2−i200
χ322-2-22-22-222-2-22-22-222-200-2200-111-1-11-11i2−i2−i2i20000i2−i2i2−i2−i2i2−i2i2-111-1-11-1100001-11-100-11-1100i2−i2−i2i200
χ332-2-22-22-222-2-22-22-22-22002-200-111-1-11-11−i2i2i2−i20000−i2i2−i2i2i2−i2i2−i2-111-1-11-110000-11-11001-11-100i2−i2−i2i200
χ342-2-22-22-222-2-22-22-22-22002-200-111-1-11-11i2−i2−i2i20000i2−i2i2−i2−i2i2−i2i2-111-1-11-110000-11-11001-11-100−i2i2i2−i200
χ35333333333333333333-1-133-1-1000000001111-1-1-1-11111111100000000-1-1-1-10000-1-10000-1-11111-1-1
χ36333333333333333333-1-133-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000011110000110000-1-1-1-1-1-111
χ373333333333333333-3-3-1-1-3-3-1-1000000001111-1-1-1-11111111100000000-1-1-1-10000-1-1000011-1-1-1-111
χ383333333333333333-3-3-1-1-3-3-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000011110000110000111111-1-1
χ393333-3-3-3-33333-3-3-3-33311-3-3-1-10000000011-1-111-1-11111-1-1-1-100000000-11-1-10000110000-1111-1-11-1
χ403333-3-3-3-33333-3-3-3-33311-3-3-1-100000000-1-11111-1-1-1-1-1-11111000000001-1110000-1-10000-11-1-111-11
χ413333-3-3-3-33333-3-3-3-3-3-31133-1-10000000011-1-111-1-11111-1-1-1-100000000-11-1-100001100001-1-1-111-11
χ423333-3-3-3-33333-3-3-3-3-3-31133-1-100000000-1-11111-1-1-1-1-1-11111000000001-1110000-1-100001-111-1-11-1
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-2-222−2i−2i2i2i004i−4i004-4-2-222−2i−2i2i2i0000−2i2i-220000000011-1-1ii−i−i0000000000000000000000
χ4644-4-4−4i−4i4i4i-2-2222i2i−2i−2i00−4i4i004-4-2-2222i2i−2i−2i00002i−2i-220000000011-1-1−i−iii0000000000000000000000
χ474-44-44i−4i−4i4i4-44-44i−4i−4i4i000000001-11-1−iii−i00000000000000001-11-1−iii−i0000−i3i3i3−i3003−3−3300000000
χ484-44-44i−4i−4i4i4-44-44i−4i−4i4i000000001-11-1−iii−i00000000000000001-11-1−iii−i0000i3−i3−i3i300−333−300000000
χ494-44-44i−4i−4i4i4-44-44i−4i−4i4i00000000-22-222i−2i−2i2i0000000000000000-22-222i−2i−2i2i0000000000000000000000
χ504-44-44i−4i−4i4i-22-22−2i2i2i−2i00000000-22-222i−2i−2i2i000000006−6−66i6−i6−i6i61-11-1−iii−i0000000000000000000000
χ514-44-44i−4i−4i4i-22-22−2i2i2i−2i00000000-22-222i−2i−2i2i00000000−666−6−i6i6i6−i61-11-1−iii−i0000000000000000000000
χ524-44-4−4i4i4i−4i4-44-4−4i4i4i−4i000000001-11-1i−i−ii00000000000000001-11-1i−i−ii0000−i3i3i3−i300−333−300000000
χ534-44-4−4i4i4i−4i4-44-4−4i4i4i−4i000000001-11-1i−i−ii00000000000000001-11-1i−i−ii0000i3−i3−i3i3003−3−3300000000
χ544-44-4−4i4i4i−4i4-44-4−4i4i4i−4i00000000-22-22−2i2i2i−2i0000000000000000-22-22−2i2i2i−2i0000000000000000000000
χ554-44-4−4i4i4i−4i-22-222i−2i−2i2i00000000-22-22−2i2i2i−2i000000006−6−66−i6i6i6−i61-11-1i−i−ii0000000000000000000000
χ564-44-4−4i4i4i−4i-22-222i−2i−2i2i00000000-22-22−2i2i2i−2i00000000−666−6i6−i6−i6i61-11-1i−i−ii0000000000000000000000
χ574-4-444-44-44-4-444-44-44-4004-4001-1-11-11-1100000000000000001-1-11-11-110000-11-1100-11-1100000000
χ584-4-444-44-44-4-444-44-4-4400-44001-1-11-11-1100000000000000001-1-11-11-1100001-11-1001-11-100000000
χ594-4-444-44-4-222-2-22-2200000000-222-22-22-2−2i22i2−2i22i20000i2−i2i2−i2i2−i2i2−i21-1-11-11-110000000000000000000000
χ604-4-444-44-4-222-2-22-2200000000-222-22-22-22i2−2i22i2−2i20000−i2i2−i2i2−i2i2−i2i21-1-11-11-110000000000000000000000
χ614-4-44-44-444-4-44-44-444-400-44001-1-111-11-100000000000000001-1-111-11-10000-11-11001-11-100000000
χ624-4-44-44-444-4-44-44-44-44004-4001-1-111-11-100000000000000001-1-111-11-100001-11-100-11-1100000000
χ634-4-44-44-44-222-22-22-200000000-222-2-22-22−2i22i22i2−2i20000i2−i2i2−i2−i2i2−i2i21-1-111-11-10000000000000000000000
χ644-4-44-44-44-222-22-22-200000000-222-2-22-222i2−2i2−2i22i20000−i2i2−i2i2i2−i2i2−i21-1-111-11-10000000000000000000000
χ6566666666-3-3-3-3-3-3-3-300-2-200-2-20000000022221111-1-1-1-1-1-1-1-100000000-2-211000011000000000000
χ6666666666-3-3-3-3-3-3-3-300-2-200-2-200000000-2-2-2-21111111111110000000022-1-10000-1-1000000000000
χ676666-6-6-6-6-3-3-3-33333002200-2-20000000022-2-2-1-111-1-1-1-1111100000000-22110000-1-1000000000000
χ686666-6-6-6-6-3-3-3-33333002200-2-200000000-2-222-1-1111111-1-1-1-1000000002-2-1-1000011000000000000
χ6966-6-66i6i−6i−6i66-6-66i6i−6i−6i00−2i2i00-22000000000000−2i2i-2200000000000000000000000000000000000000
χ7066-6-66i6i−6i−6i-3-333−3i−3i3i3i00−2i2i00-22000000000000i−i1-1−i3−i3i3i333−3−30000000000i3−i30000−33000000000000
χ7166-6-66i6i−6i−6i-3-333−3i−3i3i3i00−2i2i00-22000000000000i−i1-1i3i3−i3−i3−3−3330000000000−i3i300003−3000000000000
χ7266-6-6−6i−6i6i6i66-6-6−6i−6i6i6i002i−2i00-220000000000002i−2i-2200000000000000000000000000000000000000
χ7366-6-6−6i−6i6i6i-3-3333i3i−3i−3i002i−2i00-22000000000000−ii1-1−i3−i3i3i3−3−3330000000000i3−i300003−3000000000000
χ7466-6-6−6i−6i6i6i-3-3333i3i−3i−3i002i−2i00-22000000000000−ii1-1i3i3−i3−i333−3−30000000000−i3i30000−33000000000000
χ758-88-88i−8i−8i8i-44-44−4i4i4i−4i000000002-22-2−2i2i2i−2i0000000000000000-11-11i−i−ii0000000000000000000000
χ768-88-8−8i8i8i−8i-44-444i−4i−4i4i000000002-22-22i−2i−2i2i0000000000000000-11-11−iii−i0000000000000000000000
χ778-8-888-88-8-444-4-44-44000000002-2-22-22-220000000000000000-111-11-11-10000000000000000000000
χ788-8-88-88-88-444-44-44-4000000002-2-222-22-20000000000000000-111-1-11-110000000000000000000000

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