Finite Group Databasebeta

← Group #11922419

Character table — Group #11922419

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111111122222222666666668888888812121212121212121212121212121212161616161616161624242424242424242424242424243636363636367272
order122244443666121212122222444436661212121266888812122424242424242424366612121212446666121212121212121224888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1-1111-1-11-1
χ61111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111111-1-111-1-1-1-1-11-1-111-11
χ71111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11-1-1-1-1-111-1-111111-1-1-111-11
χ81111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1-1-1-1-1-11111111-111-1-11-1
χ9222222222222222222222222-1-1-1-1-1-1-1-12200002200000000-1-1-1-1-1-1-1-100-1-1-1-10000-1-1-1-122000000
χ10222222222222222222-2-2-2-222-1-1-1-1-1-1-1-12200002200000000-1-1-1-1-1-1-1-100111100001111-2-2000000
χ1122222222-1-1-1-1-1-1-1-12200002222222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000-1-1-1-1000000000000
χ1222222222-1-1-1-1-1-1-1-12200002222222222-1-1-2-2-2-2-1-111111111-1-1-1-1-1-1-1-1-2-200001111000000000000
χ132222-2-2-2-22222-2-2-2-2-2-222-2-222-1-1-1-11111-2-200002200000000-1-1-1-1111100-1-1-1-100001111-22000000
χ142222-2-2-2-22222-2-2-2-2-2-2-2-22222-1-1-1-11111-2-200002200000000-1-1-1-111110011110000-1-1-1-12-2000000
χ152222-2-2-2-2-1-1-1-11111-2-20000222222-2-2-2-21122-2-2-1-1-1-1-1-11111-1-1-1-111112-20000-1-111000000000000
χ162222-2-2-2-2-1-1-1-11111-2-20000222222-2-2-2-211-2-222-1-11111-1-1-1-1-1-1-1-11111-22000011-1-1000000000000
χ1722-2-22i2i−2i−2i2-22-22i2i−2i−2i002-22i−2i00-11-11ii−i−i00−i2i22−200−i2−i2i2i222−2−2-11-11ii−i−i0011-1-10000ii−i−i00−i2i22−200
χ1822-2-22i2i−2i−2i2-22-22i2i−2i−2i002-22i−2i00-11-11ii−i−i00i2−i2−2200i2i2−i2−i2−2−222-11-11ii−i−i0011-1-10000ii−i−i00i2−i2−2200
χ1922-2-22i2i−2i−2i2-22-22i2i−2i−2i00-22−2i2i00-11-11ii−i−i00−i2i22−200−i2−i2i2i222−2−2-11-11ii−i−i00-1-1110000−i−iii00i2−i2−2200
χ2022-2-22i2i−2i−2i2-22-22i2i−2i−2i00-22−2i2i00-11-11ii−i−i00i2−i2−2200i2i2−i2−i2−2−222-11-11ii−i−i00-1-1110000−i−iii00−i2i22−200
χ2122-2-2−2i−2i2i2i2-22-2−2i−2i2i2i002-2−2i2i00-11-11−i−iii00−i2i2−2200−i2−i2i2i2−2−222-11-11−i−iii0011-1-10000−i−iii00−i2i2−2200
χ2222-2-2−2i−2i2i2i2-22-2−2i−2i2i2i002-2−2i2i00-11-11−i−iii00i2−i22−200i2i2−i2−i222−2−2-11-11−i−iii0011-1-10000−i−iii00i2−i22−200
χ2322-2-2−2i−2i2i2i2-22-2−2i−2i2i2i00-222i−2i00-11-11−i−iii00−i2i2−2200−i2−i2i2i2−2−222-11-11−i−iii00-1-1110000ii−i−i00i2−i22−200
χ2422-2-2−2i−2i2i2i2-22-2−2i−2i2i2i00-222i−2i00-11-11−i−iii00i2−i22−200i2i2−i2−i222−2−2-11-11−i−iii00-1-1110000ii−i−i00−i2i2−2200
χ252-2-222-22-222-2-22-22-22-20000-222-2-222-22-22-200002-2000000002-2-222-22-20000000000000000000000
χ262-2-222-22-222-2-22-22-22-20000-22-111-1-11-112-200002-200000000-111-1-11-1100−i3i3−i3i30000−i3i3−i3i300000000
χ272-2-222-22-222-2-22-22-22-20000-22-111-1-11-112-200002-200000000-111-1-11-1100i3−i3i3−i30000i3−i3i3−i300000000
χ282-2-222-22-2-1-111-11-112-20000-222-2-222-22-2-110000-113−33−33−33−3-111-1-11-110000003−33−3000000000000
χ292-2-222-22-2-1-111-11-112-20000-222-2-222-22-2-110000-11−33−33−33−33-111-1-11-11000000−33−33000000000000
χ302-2-22-22-2222-2-2-22-22-220000-222-2-22-22-22-2200002-2000000002-2-22-22-220000000000000000000000
χ312-2-22-22-2222-2-2-22-22-220000-22-111-11-11-1-2200002-200000000-111-11-11-100−i3i3−i3i30000i3−i3i3−i300000000
χ322-2-22-22-2222-2-2-22-22-220000-22-111-11-11-1-2200002-200000000-111-11-11-100i3−i3i3−i30000−i3i3−i3i300000000
χ332-2-22-22-22-1-1111-11-1-220000-222-2-22-22-221-10000-113−33−3−33−33-111-11-11-10000003−3−33000000000000
χ342-2-22-22-22-1-1111-11-1-220000-222-2-22-22-221-10000-11−33−333−33−3-111-11-11-1000000−333−3000000000000
χ353333333333333333-1-13333-1-100000000-1-11111-1-11111111100000000-1-10000-1-1-1-10000-1-11111-1-1
χ363333333333333333-1-13333-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000011000011110000-1-1-1-1-1-111
χ373333333333333333-1-1-3-3-3-3-1-100000000-1-11111-1-11111111100000000-1-10000-1-1-1-1000011-1-1-1-111
χ383333333333333333-1-1-3-3-3-3-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000011000011110000111111-1-1
χ393333-3-3-3-33333-3-3-3-31133-3-3-1-1000000001111-1-1-1-11111-1-1-1-100000000-110000-1-11100001-111-1-1-11
χ403333-3-3-3-33333-3-3-3-31133-3-3-1-10000000011-1-111-1-1-1-1-1-11111000000001-1000011-1-100001-1-1-1111-1
χ413333-3-3-3-33333-3-3-3-311-3-333-1-1000000001111-1-1-1-11111-1-1-1-100000000-110000-1-1110000-11-1-1111-1
χ423333-3-3-3-33333-3-3-3-311-3-333-1-10000000011-1-111-1-1-1-1-1-11111000000001-1000011-1-10000-1111-1-1-11
χ4344444444-2-2-2-2-2-2-2-244000044-2-2-2-2-2-2-2-2-2-20000-2-200000000111111110000000000000000000000
χ444444-4-4-4-4-2-2-2-22222-4-4000044-2-2-2-22222220000-2-2000000001111-1-1-1-10000000000000000000000
χ4544-4-44i4i−4i−4i4-44-44i4i−4i−4i004-44i−4i001-11-1−i−iii00000000000000001-11-1−i−iii00-1-1110000−i−iii00000000
χ4644-4-44i4i−4i−4i4-44-44i4i−4i−4i00-44−4i4i001-11-1−i−iii00000000000000001-11-1−i−iii0011-1-10000ii−i−i00000000
χ4744-4-44i4i−4i−4i-22-22−2i−2i2i2i00000000-22-222i2i−2i−2i00−2i22i222−2200i2i2−i2−i2−2−2221-11-1−i−iii0000000000000000000000
χ4844-4-44i4i−4i−4i-22-22−2i−2i2i2i00000000-22-222i2i−2i−2i002i2−2i2−222200−i2−i2i2i222−2−21-11-1−i−iii0000000000000000000000
χ4944-4-4−4i−4i4i4i4-44-4−4i−4i4i4i004-4−4i4i001-11-1ii−i−i00000000000000001-11-1ii−i−i00-1-1110000ii−i−i00000000
χ5044-4-4−4i−4i4i4i4-44-4−4i−4i4i4i00-444i−4i001-11-1ii−i−i00000000000000001-11-1ii−i−i0011-1-10000−i−iii00000000
χ5144-4-4−4i−4i4i4i-22-222i2i−2i−2i00000000-22-22−2i−2i2i2i00−2i22i2−222200i2i2−i2−i222−2−21-11-1ii−i−i0000000000000000000000
χ5244-4-4−4i−4i4i4i-22-222i2i−2i−2i00000000-22-22−2i−2i2i2i002i2−2i222−2200−i2−i2i2i2−2−2221-11-1ii−i−i0000000000000000000000
χ534-44-44i−4i−4i4i4-4-444i−4i−4i4i0000000011-1-1−iii−i000000000000000011-1-1−iii−i00−i3i3i3−i300003−3−3300000000
χ544-44-44i−4i−4i4i4-4-444i−4i−4i4i0000000011-1-1−iii−i000000000000000011-1-1−iii−i00i3−i3−i3i30000−333−300000000
χ554-44-44i−4i−4i4i4-4-444i−4i−4i4i00000000-2-2222i−2i−2i2i0000000000000000-2-2222i−2i−2i2i0000000000000000000000
χ564-44-44i−4i−4i4i-222-2−2i2i2i−2i00000000-2-2222i−2i−2i2i00000000i6−i6−i6i6−666−611-1-1−iii−i0000000000000000000000
χ574-44-44i−4i−4i4i-222-2−2i2i2i−2i00000000-2-2222i−2i−2i2i00000000−i6i6i6−i66−6−6611-1-1−iii−i0000000000000000000000
χ584-44-4−4i4i4i−4i4-4-44−4i4i4i−4i0000000011-1-1i−i−ii000000000000000011-1-1i−i−ii00−i3i3i3−i30000−333−300000000
χ594-44-4−4i4i4i−4i4-4-44−4i4i4i−4i0000000011-1-1i−i−ii000000000000000011-1-1i−i−ii00i3−i3−i3i300003−3−3300000000
χ604-44-4−4i4i4i−4i4-4-44−4i4i4i−4i00000000-2-222−2i2i2i−2i0000000000000000-2-222−2i2i2i−2i0000000000000000000000
χ614-44-4−4i4i4i−4i-222-22i−2i−2i2i00000000-2-222−2i2i2i−2i00000000i6−i6−i6i66−6−6611-1-1i−i−ii0000000000000000000000
χ624-44-4−4i4i4i−4i-222-22i−2i−2i2i00000000-2-222−2i2i2i−2i00000000−i6i6i6−i6−666−611-1-1i−i−ii0000000000000000000000
χ634-4-444-44-4-2-222-22-224-40000-44-222-2-22-22-220000-22000000001-1-111-11-10000000000000000000000
χ644-4-44-44-44-2-2222-22-2-440000-44-222-22-22-22-20000-22000000001-1-11-11-110000000000000000000000
χ6566666666-3-3-3-3-3-3-3-3-2-20000-2-20000000011222211-1-1-1-1-1-1-1-100000000-2-200001111000000000000
χ6666666666-3-3-3-3-3-3-3-3-2-20000-2-20000000011-2-2-2-2111111111100000000220000-1-1-1-1000000000000
χ676666-6-6-6-6-3-3-3-33333220000-2-200000000-1-122-2-211-1-1-1-1111100000000-22000011-1-1000000000000
χ686666-6-6-6-6-3-3-3-33333220000-2-200000000-1-1-2-222111111-1-1-1-1000000002-20000-1-111000000000000
χ696-6-666-66-666-6-66-66-6-2200002-200000000-220000-2200000000000000000000000000000000000000
χ706-6-666-66-6-3-333-33-33-2200002-2000000001-100001-13−33−33−33−300000000000000−33−33000000000000
χ716-6-666-66-6-3-333-33-33-2200002-2000000001-100001-1−33−33−33−33000000000000003−33−3000000000000
χ726-6-66-66-6666-6-6-66-662-200002-2000000002-20000-2200000000000000000000000000000000000000
χ736-6-66-66-66-3-3333-33-32-200002-200000000-1100001-13−33−3−33−3300000000000000−333−3000000000000
χ746-6-66-66-66-3-3333-33-32-200002-200000000-1100001-1−33−333−33−3000000000000003−3−33000000000000
χ7588-8-88i8i−8i−8i-44-44−4i−4i4i4i000000002-22-2−2i−2i2i2i0000000000000000-11-11ii−i−i0000000000000000000000
χ7688-8-8−8i−8i8i8i-44-444i4i−4i−4i000000002-22-22i2i−2i−2i0000000000000000-11-11−i−iii0000000000000000000000
χ778-88-88i−8i−8i8i-444-4−4i4i4i−4i0000000022-2-2−2i2i2i−2i0000000000000000-1-111i−i−ii0000000000000000000000
χ788-88-8−8i8i8i−8i-444-44i−4i−4i4i0000000022-2-22i−2i−2i2i0000000000000000-1-111−iii−i0000000000000000000000

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