Finite Group Databasebeta

← Group #11775310

Character table — Group #11775310

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122224444444444444444488888888181824242424242424242424242424242424242424242424242436363672727272
order1222224433466666666661212121266121212121212222244666688881212121224242424242424242444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111-1-1-1-1
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
χ5111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i-111ii−i−i
χ6111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111−i−iii-1-1-1-1−i−i−i−iiiii-111−i−iii
χ7111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1ii−i−i1111iiii−i−i−i−i-111−i−iii
χ8111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1−i−iii1111−i−i−i−iiiii-111ii−i−i
χ91111-1-11111-1111-1-1-1-11111111-1-111-1-1-1-1111-11-111-1-11-11-111-1-111-1-111-1-1-11-11-11-1
χ101111-1-11111-1111-1-1-1-11111111-1-111-1-1-1-1111-11-111-1-1-11-1111-1-1-1-111-1-111-11-1-11-11
χ111111-1-11111-1111-1-1-1-11111111-1-111-1-1-1-111-11-11-1-1111-11-1-1-11111-1-111-1-1-11-1-11-11
χ121111-1-11111-1111-1-1-1-11111111-1-111-1-1-1-111-11-11-1-111-11-11-1-111-1-111-1-111-11-11-11-1
χ131111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-11-1-1111-1-1i−i−ii-1-111ii−i−i−i−iii11-1i−i−ii
χ141111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-11-1-1111-1-1−iii−i-1-111−i−iiiii−i−i11-1−iii−i
χ151111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-111-1-1-111i−i−ii11-1-1ii−i−i−i−iii11-1−iii−i
χ161111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-111-1-1-111−iii−i11-1-1−i−iiiii−i−i11-1i−i−ii
χ17222222222222222222222222222222222-2-2000000000000000000000000-2-2-20000
χ18222222-2-222-22222222222-2-2-2-222-2-2-2-2-2-2220000000000000000000000002-2-20000
χ192222-2-22222-2222-2-2-2-22222222-2-222-2-2-2-2-2-20000000000000000000000002-220000
χ202222-2-2-2-2222222-2-2-2-2222-2-2-2-2-2-2-2-2222222000000000000000000000000-2-220000
χ21444444441-2411-2-2-2-2-21-2-2111111-2-211-2-2000000000022220000-1-1-1-1-1-1-1-10000000
χ22444444441-2411-2-2-2-2-21-2-2111111-2-211-2-20000000000-2-2-2-20000111111110000000
χ2344444444-214-2-211111-211-2-2-2-2-2-211-2-211002222-1-1-1-10000-1-1-1-1000000000000000
χ2444444444-214-2-211111-211-2-2-2-2-2-211-2-21100-2-2-2-2111100001111000000000000000
χ25444444-4-41-2-411-2-2-2-2-21-2-2-1-1-1-11122-1-12200000000002i2i−2i−2i0000−i−i−i−iiiii0000000
χ26444444-4-41-2-411-2-2-2-2-21-2-2-1-1-1-11122-1-1220000000000−2i−2i2i2i0000iiii−i−i−i−i0000000
χ27444444-4-4-21-4-2-211111-2112222-2-2-1-122-1-10022-2-2-1-1-1-100001111000000000000000
χ28444444-4-4-21-4-2-211111-2112222-2-2-1-122-1-100-2-22211110000-1-1-1-1000000000000000
χ294444-4-4441-2-411-222221-2-21111-1-1-2-2-1-12200000000002-22-20000-1-111-1-1110000000
χ304444-4-4441-2-411-222221-2-21111-1-1-2-2-1-1220000000000-22-22000011-1-111-1-10000000
χ314444-4-444-21-4-2-21-1-1-1-1-211-2-2-2-2221122-1-1002-22-2-1-1110000-1-111000000000000000
χ324444-4-444-21-4-2-21-1-1-1-1-211-2-2-2-2221122-1-100-22-2211-1-1000011-1-1000000000000000
χ334444-4-4-4-41-2411-222221-2-2-1-1-1-1-1-12211-2-200000000002i−2i−2i2i0000−i−iiiii−i−i0000000
χ344444-4-4-4-41-2411-222221-2-2-1-1-1-1-1-12211-2-20000000000−2i2i2i−2i0000ii−i−i−i−iii0000000
χ354444-4-4-4-4-214-2-21-1-1-1-1-211222222-1-1-2-211002-2-22-1-111000011-1-1000000000000000
χ364444-4-4-4-4-214-2-21-1-1-1-1-211222222-1-1-2-21100-222-211-1-10000-1-111000000000000000
χ3744-4-4004i−4i4404-440000-4-4-44i−4i4i−4i004i−4i0000000000000000000000000000000000000
χ3844-4-4004i−4i-210-22133-3-32-1-1−2i2i−2i2i00i−i003i−3i000000−i3i3−i3i300003−33−3000000000000000
χ3944-4-4004i−4i-210-22133-3-32-1-1−2i2i−2i2i00i−i003i−3i000000i3−i3i3−i30000−33−33000000000000000
χ4044-4-4004i−4i-210-221-3-3332-1-1−2i2i−2i2i00i−i00−3i3i000000−i3i3i3−i300003−3−33000000000000000
χ4144-4-4004i−4i-210-221-3-3332-1-1−2i2i−2i2i00i−i00−3i3i000000i3−i3−i3i30000−333−3000000000000000
χ4244-4-400−4i4i4404-440000-4-4-4−4i4i−4i4i00−4i4i0000000000000000000000000000000000000
χ4344-4-400−4i4i-210-22133-3-32-1-12i−2i2i−2i00−ii00−3i3i000000−i3i3−i3i30000−33−33000000000000000
χ4444-4-400−4i4i-210-22133-3-32-1-12i−2i2i−2i00−ii00−3i3i000000i3−i3i3−i300003−33−3000000000000000
χ4544-4-400−4i4i-210-221-3-3332-1-12i−2i2i−2i00−ii003i−3i000000−i3i3i3−i30000−333−3000000000000000
χ4644-4-400−4i4i-210-221-3-3332-1-12i−2i2i−2i00−ii003i−3i000000i3−i3−i3i300003−3−33000000000000000
χ474-44-40000440-44-40000-4-440000000000004-40000000000000000000000000000000
χ484-44-40000440-44-40000-4-44000000000000-440000000000000000000000000000000
χ494-4-444-4001-20-1-122-22-21-2233-3-31-1003-300000000000000000000−i3i3−i3i3−i3i3−i3i30000000
χ504-4-444-4001-20-1-122-22-21-2233-3-31-1003-300000000000000000000i3−i3i3−i3i3−i3i3−i30000000
χ514-4-444-4001-20-1-122-22-21-22-3-3331-100-33000000000000000000003−33−3−33−330000000
χ524-4-444-4001-20-1-122-22-21-22-3-3331-100-3300000000000000000000−33−333−33−30000000
χ534-4-444-400440-4-4-4-44-4444-400004-4000000000000000000000000000000000000000
χ544-4-44-44001-20-1-12-22-221-2233-3-3-1100-3300000000000000000000−i3i3i3−i3−i3i3i3−i30000000
χ554-4-44-44001-20-1-12-22-221-2233-3-3-1100-3300000000000000000000i3−i3−i3i3i3−i3−i3i30000000
χ564-4-44-44001-20-1-12-22-221-22-3-333-11003-3000000000000000000003−3−33−333−30000000
χ574-4-44-44001-20-1-12-22-221-22-3-333-11003-300000000000000000000−333−33−3−330000000
χ584-4-44-4400440-4-4-44-44-444-40000-44000000000000000000000000000000000000000
χ5988-8-8008i−8i2-402-2-40000-2442i−2i2i−2i00−4i4i0000000000000000000000000000000000000
χ6088-8-800−8i8i2-402-2-40000-244−2i2i−2i2i004i−4i0000000000000000000000000000000000000
χ618-88-800002-40-2240000-24-46i−6i−6i6i00000000000000000000000000000000000000000
χ628-88-800002-40-2240000-24-4−6i6i6i−6i00000000000000000000000000000000000000000
χ638-88-80000-4204-4-26-6-664-22000000000000000000000000000000000000000000000
χ648-88-80000-4204-4-2-666-64-22000000000000000000000000000000000000000000000
χ658-8-888-800-42044-2-22-22-42-20000-44000000000000000000000000000000000000000
χ668-8-88-8800-42044-22-22-2-42-200004-4000000000000000000000000000000000000000

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