Finite Group Databasebeta

← Group #11922348

Character table — Group #11922348

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111111122222222666666668888888812121212121212121212121212121212161616161616161624242424242424242424242424243636363636367272
order1222444436661212121222444444366612121212668888121224242424242424243666121212124412121212121212121212121244888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111-1-1-1-11111-1-1-1-1-1-1111-1-111111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11-111-1-11111-1-1-1-11-111-1-11-1
χ61111-1-1-1-11111-1-1-1-1-1-1111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1-1111111-1-1-1-11-1-1-111-11
χ71111-1-1-1-11111-1-1-1-1-1-11-1-11111111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11-111-1-1-1-1-1-11111-11-1-111-11
χ81111-1-1-1-11111-1-1-1-1-1-11-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1-111-1-1-1-11111-1111-1-11-1
χ9222222222222222222222222-1-1-1-1-1-1-1-12200002200000000-1-1-1-1-1-1-1-1000000-1-1-1-1-1-1-1-122000000
χ102222222222222222222-2-2-2-22-1-1-1-1-1-1-1-12200002200000000-1-1-1-1-1-1-1-100000011111111-2-2000000
χ1122222222-1-1-1-1-1-1-1-12220000222222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10000000000000000
χ1222222222-1-1-1-1-1-1-1-12220000222222222-1-1-2-2-2-2-1-111111111-1-1-1-1-1-1-1-1-2-211110000000000000000
χ132222-2-2-2-22222-2-2-2-2-2-2222-2-22-1-1-1-11111-2-200002200000000-1-1-1-11111000000-1-1-1-111112-2000000
χ142222-2-2-2-22222-2-2-2-2-2-22-2-2222-1-1-1-11111-2-200002200000000-1-1-1-111110000001111-1-1-1-1-22000000
χ152222-2-2-2-2-1-1-1-11111-2-22000022222-2-2-2-21122-2-2-1-1-1-1-1-11111-1-1-1-111112-2-1-1110000000000000000
χ162222-2-2-2-2-1-1-1-11111-2-22000022222-2-2-2-211-2-222-1-11111-1-1-1-1-1-1-1-11111-2211-1-10000000000000000
χ1722-2-222-2-222-2-222-2-22-220000-222-2-222-2-22-200002-2000000002-2-2222-2-20000000000000000000000
χ1822-2-222-2-222-2-222-2-22-220000-2-1-111-1-1112-200002-200000000-111-1-1-11100000033−3−333−3−300000000
χ1922-2-222-2-222-2-222-2-22-220000-2-1-111-1-1112-200002-200000000-111-1-1-111000000−3−333−3−33300000000
χ2022-2-222-2-2-1-111-1-1112-220000-222-2-222-2-2-110000-1133−3−333−3−3-111-1-1-111003−33−30000000000000000
χ2122-2-222-2-2-1-111-1-1112-220000-222-2-222-2-2-110000-11−3−333−3−333-111-1-1-11100−33−330000000000000000
χ2222-2-2-2-22222-2-2-2-222-2220000-222-2-2-2-222-2200002-2000000002-2-22-2-2220000000000000000000000
χ2322-2-2-2-22222-2-2-2-222-2220000-2-1-11111-1-1-2200002-200000000-111-111-1-100000033−3−3−3−33300000000
χ2422-2-2-2-22222-2-2-2-222-2220000-2-1-11111-1-1-2200002-200000000-111-111-1-1000000−3−33333−3−300000000
χ2522-2-2-2-222-1-11111-1-1-2220000-222-2-2-2-2221-10000-1133−3−3−3−333-111-111-1-1003−3−330000000000000000
χ2622-2-2-2-222-1-11111-1-1-2220000-222-2-2-2-2221-10000-11−3−33333−3−3-111-111-1-100−333−30000000000000000
χ272-22-22i−2i2i−2i2-22-22i−2i2i−2i0002-22i−2i0-111-1i−ii−i002−2−i2i2002−22−2−i2i2−i2i2-11-11i−ii−i0000001-11-1i−ii−i002−2−i2i200
χ282-22-22i−2i2i−2i2-22-22i−2i2i−2i0002-22i−2i0-111-1i−ii−i00−22i2−i200−22−22i2−i2i2−i2-11-11i−ii−i0000001-11-1i−ii−i00−22i2−i200
χ292-22-22i−2i2i−2i2-22-22i−2i2i−2i000-22−2i2i0-111-1i−ii−i002−2−i2i2002−22−2−i2i2−i2i2-11-11i−ii−i000000-11-11−ii−ii00−22i2−i200
χ302-22-22i−2i2i−2i2-22-22i−2i2i−2i000-22−2i2i0-111-1i−ii−i00−22i2−i200−22−22i2−i2i2−i2-11-11i−ii−i000000-11-11−ii−ii002−2−i2i200
χ312-22-2−2i2i−2i2i2-22-2−2i2i−2i2i0002-2−2i2i0-111-1−ii−ii002−2i2−i2002−22−2i2−i2i2−i2-11-11−ii−ii0000001-11-1−ii−ii002−2i2−i200
χ322-22-2−2i2i−2i2i2-22-2−2i2i−2i2i0002-2−2i2i0-111-1−ii−ii00−22−i2i200−22−22−i2i2−i2i2-11-11−ii−ii0000001-11-1−ii−ii00−22−i2i200
χ332-22-2−2i2i−2i2i2-22-2−2i2i−2i2i000-222i−2i0-111-1−ii−ii002−2i2−i2002−22−2i2−i2i2−i2-11-11−ii−ii000000-11-11i−ii−i00−22−i2i200
χ342-22-2−2i2i−2i2i2-22-2−2i2i−2i2i000-222i−2i0-111-1−ii−ii00−22−i2i200−22−22−i2i2−i2i2-11-11−ii−ii000000-11-11i−ii−i002−2i2−i200
χ353333333333333333-1-1-13333-100000000-1-11111-1-11111111100000000-1-1-1-1-1-100000000-1-11111-1-1
χ363333333333333333-1-1-13333-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000011111100000000-1-1-1-1-1-111
χ373333333333333333-1-1-1-3-3-3-3-100000000-1-11111-1-11111111100000000-1-1-1-1-1-10000000011-1-1-1-111
χ383333333333333333-1-1-1-3-3-3-3-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000011111100000000111111-1-1
χ393333-3-3-3-33333-3-3-3-311-133-3-3-1000000001111-1-1-1-11111-1-1-1-100000000-11-1-11100000000-1111-1-1-11
χ403333-3-3-3-33333-3-3-3-311-133-3-3-10000000011-1-111-1-1-1-1-1-11111000000001-111-1-100000000-11-1-1111-1
χ413333-3-3-3-33333-3-3-3-311-1-3-333-1000000001111-1-1-1-11111-1-1-1-100000000-11-1-111000000001-1-1-1111-1
χ423333-3-3-3-33333-3-3-3-311-1-3-333-10000000011-1-111-1-1-1-1-1-11111000000001-111-1-1000000001-111-1-1-11
χ4344444444-2-2-2-2-2-2-2-244400004-2-2-2-2-2-2-2-2-2-20000-2-200000000111111110000000000000000000000
χ444444-4-4-4-4-2-2-2-22222-4-4400004-2-2-2-22222220000-2-2000000001111-1-1-1-10000000000000000000000
χ4544-4-444-4-4-2-222-2-2224-440000-4-2-222-2-222-220000-22000000001-1-1111-1-10000000000000000000000
χ4644-4-4-4-444-2-22222-2-2-4440000-4-2-22222-2-22-20000-22000000001-1-11-1-1110000000000000000000000
χ474-44-44i−4i4i−4i4-44-44i−4i4i−4i0004-44i−4i01-1-11−ii−ii00000000000000001-11-1−ii−ii000000-11-11−ii−ii00000000
χ484-44-44i−4i4i−4i4-44-44i−4i4i−4i000-44−4i4i01-1-11−ii−ii00000000000000001-11-1−ii−ii0000001-11-1i−ii−i00000000
χ494-44-44i−4i4i−4i-22-22−2i2i−2i2i00000000-222-22i−2i2i−2i0022−22−2i22i200−22−22i2−i2i2−i21-11-1−ii−ii0000000000000000000000
χ504-44-44i−4i4i−4i-22-22−2i2i−2i2i00000000-222-22i−2i2i−2i00−22222i2−2i2002−22−2−i2i2−i2i21-11-1−ii−ii0000000000000000000000
χ514-44-4−4i4i−4i4i4-44-4−4i4i−4i4i0004-4−4i4i01-1-11i−ii−i00000000000000001-11-1i−ii−i000000-11-11i−ii−i00000000
χ524-44-4−4i4i−4i4i4-44-4−4i4i−4i4i000-444i−4i01-1-11i−ii−i00000000000000001-11-1i−ii−i0000001-11-1−ii−ii00000000
χ534-44-4−4i4i−4i4i-22-222i−2i2i−2i00000000-222-2−2i2i−2i2i0022−222i2−2i200−22−22−i2i2−i2i21-11-1i−ii−i0000000000000000000000
χ544-44-4−4i4i−4i4i-22-222i−2i2i−2i00000000-222-2−2i2i−2i2i00−2222−2i22i2002−22−2i2−i2i2−i21-11-1i−ii−i0000000000000000000000
χ554-4-444i−4i−4i4i4-4-444i−4i−4i4i000000001-11-1−iii−i000000000000000011-1-1−iii−i0000003−3−33i3−i3−i3i300000000
χ564-4-444i−4i−4i4i4-4-444i−4i−4i4i000000001-11-1−iii−i000000000000000011-1-1−iii−i000000−333−3−i3i3i3−i300000000
χ574-4-444i−4i−4i4i4-4-444i−4i−4i4i00000000-22-222i−2i−2i2i0000000000000000-2-2222i−2i−2i2i0000000000000000000000
χ584-4-444i−4i−4i4i-222-2−2i2i2i−2i00000000-22-222i−2i−2i2i000000006−6−66−i6i6i6−i611-1-1−iii−i0000000000000000000000
χ594-4-444i−4i−4i4i-222-2−2i2i2i−2i00000000-22-222i−2i−2i2i00000000−666−6i6−i6−i6i611-1-1−iii−i0000000000000000000000
χ604-4-44−4i4i4i−4i4-4-44−4i4i4i−4i000000001-11-1i−i−ii000000000000000011-1-1i−i−ii0000003−3−33−i3i3i3−i300000000
χ614-4-44−4i4i4i−4i4-4-44−4i4i4i−4i000000001-11-1i−i−ii000000000000000011-1-1i−i−ii000000−333−3i3−i3−i3i300000000
χ624-4-44−4i4i4i−4i4-4-44−4i4i4i−4i00000000-22-22−2i2i2i−2i0000000000000000-2-222−2i2i2i−2i0000000000000000000000
χ634-4-44−4i4i4i−4i-222-22i−2i−2i2i00000000-22-22−2i2i2i−2i000000006−6−66i6−i6−i6i611-1-1i−i−ii0000000000000000000000
χ644-4-44−4i4i4i−4i-222-22i−2i−2i2i00000000-22-22−2i2i2i−2i00000000−666−6−i6i6i6−i611-1-1i−i−ii0000000000000000000000
χ6566666666-3-3-3-3-3-3-3-3-2-2-20000-20000000011222211-1-1-1-1-1-1-1-100000000-2-211110000000000000000
χ6666666666-3-3-3-3-3-3-3-3-2-2-20000-20000000011-2-2-2-211111111110000000022-1-1-1-10000000000000000
χ676666-6-6-6-6-3-3-3-3333322-20000-200000000-1-122-2-211-1-1-1-1111100000000-2211-1-10000000000000000
χ686666-6-6-6-6-3-3-3-3333322-20000-200000000-1-1-2-222111111-1-1-1-1000000002-2-1-1110000000000000000
χ6966-6-666-6-666-6-666-6-6-22-20000200000000-220000-2200000000000000000000000000000000000000
χ7066-6-666-6-6-3-333-3-333-22-200002000000001-100001-133−3−333−3−30000000000−33−330000000000000000
χ7166-6-666-6-6-3-333-3-333-22-200002000000001-100001-1−3−333−3−33300000000003−33−30000000000000000
χ7266-6-6-6-66666-6-6-6-6662-2-200002000000002-20000-2200000000000000000000000000000000000000
χ7366-6-6-6-666-3-33333-3-32-2-20000200000000-1100001-133−3−3−3−3330000000000−333−30000000000000000
χ7466-6-6-6-666-3-33333-3-32-2-20000200000000-1100001-1−3−33333−3−300000000003−3−330000000000000000
χ758-88-88i−8i8i−8i-44-44−4i4i−4i4i000000002-2-22−2i2i−2i2i0000000000000000-11-11i−ii−i0000000000000000000000
χ768-88-8−8i8i−8i8i-44-444i−4i4i−4i000000002-2-222i−2i2i−2i0000000000000000-11-11−ii−ii0000000000000000000000
χ778-8-888i−8i−8i8i-444-4−4i4i4i−4i000000002-22-2−2i2i2i−2i0000000000000000-1-111i−i−ii0000000000000000000000
χ788-8-88−8i8i8i−8i-444-44i−4i−4i4i000000002-22-22i−2i−2i2i0000000000000000-1-111−iii−i0000000000000000000000

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