Finite Group Databasebeta

← Group #11775372

Character table — Group #11775372

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122224444444444444444488888888181824242424242424242424242424242424242424242424242436363672727272
order122222443346666666666121212126612121212121244244444446612121212121212121212121212124448888
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
χ5111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1111-11-111-1-11111-1-1-1-11111-1-1-1-11-1-111-1-1
χ6111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1111-11-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-111
χ7111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-111-11-1111-1-1-1-1-1-111111111-1-1-1-11-1-1-1-111
χ8111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-111-11-11-1-111-1-1-1-11111-1-1-1-111111-1-111-1-1
χ91111-1-11111-111-1-11111-1-11111-1-111-1-1-1-1-1-111-1-1i−ii−i11-1-1-1-111ii−i−iii−i−i11-1i−ii−i
χ101111-1-11111-111-1-11111-1-11111-1-111-1-1-1-1-1-111-1-1−ii−ii11-1-1-1-111−i−iii−i−iii11-1−ii−ii
χ111111-1-11111-111-1-11111-1-11111-1-111-1-1-1-1-1-1-1-111i−ii−i-1-11111-1-1ii−i−iii−i−i11-1−ii−ii
χ121111-1-11111-111-1-11111-1-11111-1-111-1-1-1-1-1-1-1-111−ii−ii-1-11111-1-1−i−iii−i−iii11-1i−ii−i
χ131111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11-1-11i−i−ii11-1-111-1-1ii−i−i−i−iii1-11i−i−ii
χ141111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11-1-11−iii−i11-1-111-1-1−i−iiiii−i−i1-11−iii−i
χ151111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1i−i−ii-1-111-1-111ii−i−i−i−iii1-11−iii−i
χ161111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1−iii−i-1-111-1-111−i−iiiii−i−i1-11i−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
χ192222-2-22222-222-2-22222-2-22222-2-222-2-2-2-222000000000000000000000000-2-220000
χ202222-2-2-2-222222-2-22222-2-2-2-2-2-2-2-2-2-2222222000000000000000000000000-22-20000
χ21444444441-2411111-2-2-211-2-2-2-2-2-21111-2-2000000222200000000-1-1-1-1-1-1-1-10000000
χ22444444441-2411111-2-2-211-2-2-2-2-2-21111-2-2000000-2-2-2-200000000111111110000000
χ2344444444-214-2-2-2-2-2111-2-2111111-2-2-2-2110022220000-1-1-1-1-1-1-1-1000000000000000
χ2444444444-214-2-2-2-2-2111-2-2111111-2-2-2-21100-2-2-2-2000011111111000000000000000
χ25444444-4-41-2-411111-2-2-2112222-2-2-1-1-1-12200000022-2-200000000-1-1-1-111110000000
χ26444444-4-41-2-411111-2-2-2112222-2-2-1-1-1-122000000-2-222000000001111-1-1-1-10000000
χ27444444-4-4-21-4-2-2-2-2-2111-2-2-1-1-1-1112222-1-1002-22-20000-1-1-1-11111000000000000000
χ28444444-4-4-21-4-2-2-2-2-2111-2-2-1-1-1-1112222-1-100-22-2200001111-1-1-1-1000000000000000
χ294444-4-4441-2-411-1-11-2-2-2-1-1-2-2-2-22211-1-1220000002i−2i2i−2i00000000−i−iii−i−iii0000000
χ304444-4-4441-2-411-1-11-2-2-2-1-1-2-2-2-22211-1-122000000−2i2i−2i2i00000000ii−i−iii−i−i0000000
χ314444-4-444-21-4-2-222-2111221111-1-1-2-222-1-10022-2-20000-1-11111-1-1000000000000000
χ324444-4-444-21-4-2-222-2111221111-1-1-2-222-1-100-2-222000011-1-1-1-111000000000000000
χ334444-4-4-4-41-2411-1-11-2-2-2-1-1222222-1-111-2-20000002i−2i−2i2i00000000−i−iiiii−i−i0000000
χ344444-4-4-4-41-2411-1-11-2-2-2-1-1222222-1-111-2-2000000−2i2i2i−2i00000000ii−i−i−i−iii0000000
χ354444-4-4-4-4-214-2-222-211122-1-1-1-1-1-122-2-211002-2-220000-1-111-1-111000000000000000
χ364444-4-4-4-4-214-2-222-211122-1-1-1-1-1-122-2-21100-222-2000011-1-111-1-1000000000000000
χ3744-4-40000440-4-4004-4-44000000000000004i−4i0000000000000000000000000000000
χ3844-4-40000440-4-4004-4-4400000000000000−4i4i0000000000000000000000000000000
χ394-44-4004i−4i1-201-13-3-12-223-32i2i−2i−2i00i−i3i−3i00000000000000000000−i3i3−i3i33−33−30000000
χ404-44-4004i−4i1-201-13-3-12-223-32i2i−2i−2i00i−i3i−3i00000000000000000000i3−i3i3−i3−33−330000000
χ414-44-4004i−4i1-201-1-33-12-22-332i2i−2i−2i00i−i−3i3i000000000000000000003−3−33i3−i3−i3i30000000
χ424-44-4004i−4i1-201-1-33-12-22-332i2i−2i−2i00i−i−3i3i00000000000000000000−333−3−i3i3i3−i30000000
χ434-44-4004i−4i4404-400-4-44-400−4i−4i4i4i004i−4i0000000000000000000000000000000000000
χ444-44-400−4i4i1-201-13-3-12-223-3−2i−2i2i2i00−ii−3i3i00000000000000000000−i3i3−i3i3−33−330000000
χ454-44-400−4i4i1-201-13-3-12-223-3−2i−2i2i2i00−ii−3i3i00000000000000000000i3−i3i3−i33−33−30000000
χ464-44-400−4i4i1-201-1-33-12-22-33−2i−2i2i2i00−ii3i−3i000000000000000000003−3−33−i3i3i3−i30000000
χ474-44-400−4i4i1-201-1-33-12-22-33−2i−2i2i2i00−ii3i−3i00000000000000000000−333−3i3−i3−i3i30000000
χ484-44-400−4i4i4404-400-4-44-4004i4i−4i−4i00−4i4i0000000000000000000000000000000000000
χ494-4-444-400440-4444-44-4-4-4-400004-4000000000000000000000000000000000000000
χ504-4-444-400-2102-2-2-221-1-1223i−3i3i−3i1-100003i−3i0000000000−i3i3−i3i33−33−3000000000000000
χ514-4-444-400-2102-2-2-221-1-1223i−3i3i−3i1-100003i−3i0000000000i3−i3i3−i3−33−33000000000000000
χ524-4-444-400-2102-2-2-221-1-122−3i3i−3i3i1-10000−3i3i0000000000−i3i3−i3i3−33−33000000000000000
χ534-4-444-400-2102-2-2-221-1-122−3i3i−3i3i1-10000−3i3i0000000000i3−i3i3−i33−33−3000000000000000
χ544-4-44-4400440-44-4-4-44-4-4440000-44000000000000000000000000000000000000000
χ554-4-44-4400-2102-22221-1-1-2-23i−3i3i−3i-110000−3i3i0000000000−i3i3i3−i3−333−3000000000000000
χ564-4-44-4400-2102-22221-1-1-2-23i−3i3i−3i-110000−3i3i0000000000i3−i3−i3i33−3−33000000000000000
χ574-4-44-4400-2102-22221-1-1-2-2−3i3i−3i3i-1100003i−3i0000000000−i3i3i3−i33−3−33000000000000000
χ584-4-44-4400-2102-22221-1-1-2-2−3i3i−3i3i-1100003i−3i0000000000i3−i3−i3i3−333−3000000000000000
χ5988-8-800002-40-2-26-6244-4-66000000000000000000000000000000000000000000000
χ6088-8-800002-40-2-2-66244-46-6000000000000000000000000000000000000000000000
χ6188-8-80000-4204400-4-2-22006-6-6600000000000000000000000000000000000000000
χ6288-8-80000-4204400-4-2-2200-666-600000000000000000000000000000000000000000
χ638-88-8008i−8i-420-44004-22-200−2i−2i2i2i00−4i4i0000000000000000000000000000000000000
χ648-88-800−8i8i-420-44004-22-2002i2i−2i−2i004i−4i0000000000000000000000000000000000000
χ658-8-888-8002-40-2222-2-444-2-20000-44000000000000000000000000000000000000000
χ668-8-88-88002-40-22-2-2-2-4442200004-4000000000000000000000000000000000000000

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