Finite Group Databasebeta

← Group #11775436

Character table — Group #11775436

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122224444444444444444488888888181824242424242424242424242424242424242424242424242436363672727272
order1222224433466666666661212121266121212121212442244444466661212121212121212121212124448888
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1111-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ5111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1111-11-111-1-111-1-11111-1-1-1-111-1-11-1-111-1-1
χ6111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1111-11-1-1-11111-1-1-1-1-1-1111111-1-11-1-1-1-111
χ7111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-111-11-1111-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-111
χ8111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-111-11-11-1-111-1-111-1-1-1-11111-1-1111-1-111-1-1
χ91111-1-11111-111-1-1111-1-111111-1-111-1-1-1-1-1-11-1-11i−ii−i11-1-1ii−i−iii−i−i-1-11111-1i−ii−i
χ101111-1-11111-111-1-1111-1-111111-1-111-1-1-1-1-1-11-1-11−ii−ii11-1-1−i−iii−i−iii-1-11111-1−ii−ii
χ111111-1-11111-111-1-1111-1-111111-1-111-1-1-1-1-1-1-111-1i−ii−i-1-111ii−i−iii−i−i11-1-111-1−ii−ii
χ121111-1-11111-111-1-1111-1-111111-1-111-1-1-1-1-1-1-111-1−ii−ii-1-111−i−iii−i−iii11-1-111-1i−ii−i
χ131111-1-1-1-111111-1-1111-1-11-1-1-1-1-1-1-1-11111-1-111-1-1i−i−ii1111ii−i−i−i−iii-1-1-1-11-11i−i−ii
χ141111-1-1-1-111111-1-1111-1-11-1-1-1-1-1-1-1-11111-1-111-1-1−iii−i1111−i−iiiii−i−i-1-1-1-11-11−iii−i
χ151111-1-1-1-111111-1-1111-1-11-1-1-1-1-1-1-1-11111-1-1-1-111i−i−ii-1-1-1-1ii−i−i−i−iii11111-11−iii−i
χ161111-1-1-1-111111-1-1111-1-11-1-1-1-1-1-1-1-11111-1-1-1-111−iii−i-1-1-1-1−i−iiiii−i−i11111-11i−i−ii
χ17222222222222222222222222222222222-2-2000000000000000000000000-2-2-20000
χ18222222-2-222-22222222222-2-2-2-222-2-2-2-2-2-2-2-2000000000000000000000000-2220000
χ192222-2-22222-222-2-2222-2-222222-2-222-2-2-2-222000000000000000000000000-2-220000
χ202222-2-2-2-222222-2-2222-2-22-2-2-2-2-2-2-2-2222222000000000000000000000000-22-20000
χ21444444441-241111-2-2111-2-2-2-2-2-2-21111-2-200000022220000-1-1-1-1-1-1-1-100000000000
χ22444444441-241111-2-2111-2-2-2-2-2-2-21111-2-2000000-2-2-2-200001111111100000000000
χ2344444444-214-2-2-2-211-2-2-21111111-2-2-2-2110022220000-1-1-1-100000000-1-1-1-10000000
χ2444444444-214-2-2-2-211-2-2-21111111-2-2-2-21100-2-2-2-2000011110000000011110000000
χ25444444-4-41-2-41111-2-2111-22222-2-2-1-1-1-12200000022-2-20000-1-1-1-1111100000000000
χ26444444-4-41-2-41111-2-2111-22222-2-2-1-1-1-122000000-2-22200001111-1-1-1-100000000000
χ27444444-4-4-21-4-2-2-2-211-2-2-21-1-1-1-1112222-1-1002-22-20000-1-11100000000-1-1110000000
χ28444444-4-4-21-4-2-2-2-211-2-2-21-1-1-1-1112222-1-100-22-22000011-1-10000000011-1-10000000
χ294444-4-4441-2-411-1-1-2-21-1-1-2-2-2-2-22211-1-1220000002i−2i2i−2i0000−i−iii−i−iii00000000000
χ304444-4-4441-2-411-1-1-2-21-1-1-2-2-2-2-22211-1-122000000−2i2i−2i2i0000ii−i−iii−i−i00000000000
χ314444-4-444-21-4-2-22211-22211111-1-1-2-222-1-1002-2-220000-1-1110000000011-1-10000000
χ324444-4-444-21-4-2-22211-22211111-1-1-2-222-1-100-222-2000011-1-100000000-1-1110000000
χ334444-4-4-4-41-2411-1-1-2-21-1-1-2222222-1-111-2-20000002i−2i−2i2i0000−i−iiiii−i−i00000000000
χ344444-4-4-4-41-2411-1-1-2-21-1-1-2222222-1-111-2-2000000−2i2i2i−2i0000ii−i−i−i−iii00000000000
χ354444-4-4-4-4-214-2-22211-2221-1-1-1-1-1-122-2-2110022-2-20000-1-1-1-10000000011110000000
χ364444-4-4-4-4-214-2-22211-2221-1-1-1-1-1-122-2-21100-2-2220000111100000000-1-1-1-10000000
χ3744-4-44-400440-4-44-4-4-444-4400004-4000000000000000000000000000000000000000
χ3844-4-44-400-21022-22-1-1-2-22133-3-31-100003-30000000000−i3i3−i3i300000000−i3i3−i3i30000000
χ3944-4-44-400-21022-22-1-1-2-22133-3-31-100003-30000000000i3−i3i3−i300000000i3−i3i3−i30000000
χ4044-4-44-400-21022-22-1-1-2-221-3-3331-10000-330000000000−i3i3i3−i300000000−i3i3i3−i30000000
χ4144-4-44-400-21022-22-1-1-2-221-3-3331-10000-330000000000i3−i3−i3i300000000i3−i3−i3i30000000
χ4244-4-4-4400440-4-4-44-4-44-4440000-44000000000000000000000000000000000000000
χ4344-4-4-4400-210222-2-1-1-22-2133-3-3-110000-330000000000−i3i3i3−i300000000i3−i3−i3i30000000
χ4444-4-4-4400-210222-2-1-1-22-2133-3-3-110000-330000000000i3−i3−i3i300000000−i3i3i3−i30000000
χ4544-4-4-4400-210222-2-1-1-22-21-3-333-1100003-30000000000−i3i3−i3i300000000i3−i3i3−i30000000
χ4644-4-4-4400-210222-2-1-1-22-21-3-333-1100003-30000000000i3−i3i3−i300000000−i3i3−i3i30000000
χ474-44-400004404-4004-4-400-40000000000004i−4i0000000000000000000000000000000
χ484-44-400004404-4004-4-400-4000000000000−4i4i0000000000000000000000000000000
χ494-4-44004i−4i1-20-113-32-2-1-3322i−2i2i−2i00i−i3i−3i0000000000000000−i3i3−i3i33−33−300000000000
χ504-4-44004i−4i1-20-113-32-2-1-3322i−2i2i−2i00i−i3i−3i0000000000000000i3−i3i3−i3−33−3300000000000
χ514-4-44004i−4i1-20-11-332-2-13-322i−2i2i−2i00i−i−3i3i00000000000000003−3−33i3−i3−i3i300000000000
χ524-4-44004i−4i1-20-11-332-2-13-322i−2i2i−2i00i−i−3i3i0000000000000000−333−3−i3i3i3−i300000000000
χ534-4-44004i−4i440-4400-44-400-4−4i4i−4i4i004i−4i0000000000000000000000000000000000000
χ544-4-4400−4i4i1-20-113-32-2-1-332−2i2i−2i2i00−ii−3i3i0000000000000000−i3i3−i3i3−33−3300000000000
χ554-4-4400−4i4i1-20-113-32-2-1-332−2i2i−2i2i00−ii−3i3i0000000000000000i3−i3i3−i33−33−300000000000
χ564-4-4400−4i4i1-20-11-332-2-13-32−2i2i−2i2i00−ii3i−3i00000000000000003−3−33−i3i3i3−i300000000000
χ574-4-4400−4i4i1-20-11-332-2-13-32−2i2i−2i2i00−ii3i−3i0000000000000000−333−3i3−i3−i3i300000000000
χ584-4-4400−4i4i440-4400-44-400-44i−4i4i−4i00−4i4i0000000000000000000000000000000000000
χ5988-8-88-8002-40-2-22-24422-2-40000-44000000000000000000000000000000000000000
χ6088-8-8-88002-40-2-2-22442-22-400004-4000000000000000000000000000000000000000
χ618-88-800002-402-266-44-2-6-64000000000000000000000000000000000000000000000
χ628-88-800002-402-2-6-6-44-2664000000000000000000000000000000000000000000000
χ638-88-80000-420-44002-2400-26i−6i−6i6i00000000000000000000000000000000000000000
χ648-88-80000-420-44002-2400-2−6i6i6i−6i00000000000000000000000000000000000000000
χ658-8-88008i−8i-4204-400-22400-2−2i2i−2i2i00−4i4i0000000000000000000000000000000000000
χ668-8-8800−8i8i-4204-400-22400-22i−2i2i−2i004i−4i0000000000000000000000000000000000000

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