Finite Group Databasebeta

← Group #11771251

Character table — Group #11771251

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122224444444444444444488888888181824242424242424242424242424242424242424242424242436363672727272
order12222244334666666666612121212661212121212124444448888121212121212121224242424242424242248888
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1
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
χ5111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i11-1ii−i−i
χ6111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii11-1−i−iii
χ7111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i11-1−i−iii
χ8111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiii11-1ii−i−i
χ91111-1-11111-11111-1-111-1-11111-1-111-1-1-1-1-1-1i−ii−i1-11-1ii−i−iii−i−i11-1-111-1-11-11i−ii−i
χ101111-1-11111-11111-1-111-1-11111-1-111-1-1-1-1-1-1i−ii−i-11-11ii−i−iii−i−i-1-111-1-1111-11−ii−ii
χ111111-1-11111-11111-1-111-1-11111-1-111-1-1-1-1-1-1−ii−ii1-11-1−i−iii−i−iii11-1-111-1-11-11−ii−ii
χ121111-1-11111-11111-1-111-1-11111-1-111-1-1-1-1-1-1−ii−ii-11-11−i−iii−i−iii-1-111-1-1111-11i−ii−i
χ131111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1-1111111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii1-1-1-111-1
χ141111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1-1111111i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i1-1-11-1-11
χ151111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1-1111111−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii1-1-11-1-11
χ161111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1-1111111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i1-1-1-111-1
χ17222222222222222222222222222222222-2-2000000000000000000000000-2-2-20000
χ18222222-2-222-22222222222-2-2-2-222-2-2-2-2-2-222000000000000000000000000-2-220000
χ192222-2-22222-22222-2-222-2-22222-2-222-2-2-2-222000000000000000000000000-22-20000
χ202222-2-2-2-22222222-2-222-2-2-2-2-2-2-2-2-2-22222-2-2000000000000000000000000-2220000
χ21444444441-2411-2-2111-211-2-2-2-2-2-21111-2-20022220000-1-1-1-1-1-1-1-1000000000000000
χ22444444441-2411-2-2111-211-2-2-2-2-2-21111-2-200-2-2-2-2000011111111000000000000000
χ2344444444-214-2-211-2-2-21-2-2111111-2-2-2-211000000222200000000-1-1-1-1-1-1-1-10000000
χ2444444444-214-2-211-2-2-21-2-2111111-2-2-2-211000000-2-2-2-200000000111111110000000
χ25444444-4-41-2-411-2-2111-2112222-2-2-1-1-1-1220022-2-20000-1-1-1-11111000000000000000
χ26444444-4-41-2-411-2-2111-2112222-2-2-1-1-1-12200-2-22200001111-1-1-1-1000000000000000
χ27444444-4-4-21-4-2-211-2-2-21-2-2-1-1-1-1112222-1-10000002i2i−2i−2i00000000−i−i−i−iiiii0000000
χ28444444-4-4-21-4-2-211-2-2-21-2-2-1-1-1-1112222-1-1000000−2i−2i2i2i00000000iiii−i−i−i−i0000000
χ294444-4-4441-2-411-2-2-1-11-2-1-1-2-2-2-22211-1-122002i−2i2i−2i0000−i−iii−i−iii000000000000000
χ304444-4-4441-2-411-2-2-1-11-2-1-1-2-2-2-22211-1-12200−2i2i−2i2i0000ii−i−iii−i−i000000000000000
χ314444-4-444-21-4-2-21122-21221111-1-1-2-222-1-10000002-22-200000000-1-111-1-1110000000
χ324444-4-444-21-4-2-21122-21221111-1-1-2-222-1-1000000-22-220000000011-1-111-1-10000000
χ334444-4-4-4-41-2411-2-2-1-11-2-1-1222222-1-111-2-2002i−2i−2i2i0000−i−iiiii−i−i000000000000000
χ344444-4-4-4-41-2411-2-2-1-11-2-1-1222222-1-111-2-200−2i2i2i−2i0000ii−i−i−i−iii000000000000000
χ354444-4-4-4-4-214-2-21122-2122-1-1-1-1-1-122-2-2110000002i−2i−2i2i00000000−i−iiiii−i−i0000000
χ364444-4-4-4-4-214-2-21122-2122-1-1-1-1-1-122-2-211000000−2i2i2i−2i00000000ii−i−i−i−iii0000000
χ3744-4-400004404-44-400-4-4000000000000004i−4i0000000000000000000000000000000
χ3844-4-400004404-44-400-4-400000000000000−4i4i0000000000000000000000000000000
χ394-44-4004i−4i1-20-112-23-3-123-32i−2i2i−2i00i−i3i−3i000000000000−i3i3−i3i33−33−3000000000000000
χ404-44-4004i−4i1-20-112-23-3-123-32i−2i2i−2i00i−i3i−3i000000000000i3−i3i3−i3−33−33000000000000000
χ414-44-4004i−4i1-20-112-2-33-12-332i−2i2i−2i00i−i−3i3i0000000000003−3−33i3−i3−i3i3000000000000000
χ424-44-4004i−4i1-20-112-2-33-12-332i−2i2i−2i00i−i−3i3i000000000000−333−3−i3i3i3−i3000000000000000
χ434-44-4004i−4i440-44-4400-4-400−4i4i−4i4i004i−4i0000000000000000000000000000000000000
χ444-44-400−4i4i1-20-112-23-3-123-3−2i2i−2i2i00−ii−3i3i000000000000−i3i3−i3i3−33−33000000000000000
χ454-44-400−4i4i1-20-112-23-3-123-3−2i2i−2i2i00−ii−3i3i000000000000i3−i3i3−i33−33−3000000000000000
χ464-44-400−4i4i1-20-112-2-33-12-33−2i2i−2i2i00−ii3i−3i0000000000003−3−33−i3i3i3−i3000000000000000
χ474-44-400−4i4i1-20-112-2-33-12-33−2i2i−2i2i00−ii3i−3i000000000000−333−3i3−i3−i3i3000000000000000
χ484-44-400−4i4i440-44-4400-4-4004i−4i4i−4i00−4i4i0000000000000000000000000000000000000
χ494-4-444-400440-4-4-4-44-444-4400004-4000000000000000000000000000000000000000
χ504-4-444-400-21022-1-1-22-212-233-3-31-100003-3000000000000000000−i3i3−i3i3−i3i3−i3i30000000
χ514-4-444-400-21022-1-1-22-212-233-3-31-100003-3000000000000000000i3−i3i3−i3i3−i3i3−i30000000
χ524-4-444-400-21022-1-1-22-212-2-3-3331-10000-330000000000000000003−33−3−33−330000000
χ534-4-444-400-21022-1-1-22-212-2-3-3331-10000-33000000000000000000−33−333−33−30000000
χ544-4-44-4400440-4-4-4-4-44444-40000-44000000000000000000000000000000000000000
χ554-4-44-4400-21022-1-12-2-21-2233-3-3-110000-33000000000000000000−i3i3i3−i3−i3i3i3−i30000000
χ564-4-44-4400-21022-1-12-2-21-2233-3-3-110000-33000000000000000000i3−i3−i3i3i3−i3−i3i30000000
χ574-4-44-4400-21022-1-12-2-21-22-3-333-1100003-30000000000000000003−3−33−333−30000000
χ584-4-44-4400-21022-1-12-2-21-22-3-333-1100003-3000000000000000000−333−33−3−330000000
χ5988-8-800002-402-2-4466-24-6-6000000000000000000000000000000000000000000000
χ6088-8-800002-402-2-44-6-6-2466000000000000000000000000000000000000000000000
χ6188-8-80000-420-442-2004-2006i−6i−6i6i00000000000000000000000000000000000000000
χ6288-8-80000-420-442-2004-200−6i6i6i−6i00000000000000000000000000000000000000000
χ638-88-8008i−8i-4204-4-22004-200−2i2i−2i2i00−4i4i0000000000000000000000000000000000000
χ648-88-800−8i8i-4204-4-22004-2002i−2i2i−2i004i−4i0000000000000000000000000000000000000
χ658-8-888-8002-40-2-2442-22-4-220000-44000000000000000000000000000000000000000
χ668-8-88-88002-40-2-244-222-42-200004-4000000000000000000000000000000000000000

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