Finite Group Databasebeta

← Group #11775408

Character table — Group #11775408

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122224444444444444444488888888181824242424242424242424242424242424242424242424242436363672727272
order122222443346666666666121212126612121212121244244444446612121212121212121212121212122248888
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
χ5111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1111-1-1
χ6111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11-1-111
χ7111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11-1-111
χ8111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1111-1-1
χ91111-1-11111-111-1-1-11111-11111-1-111-1-1-1-1-1-11-1-11i−ii−i11-1-1-1-111ii−i−iii−i−i1-11i−ii−i
χ101111-1-11111-111-1-1-11111-11111-1-111-1-1-1-1-1-11-1-11−ii−ii11-1-1-1-111−i−iii−i−iii1-11−ii−ii
χ111111-1-11111-111-1-1-11111-11111-1-111-1-1-1-1-1-1-111-1i−ii−i-1-11111-1-1ii−i−iii−i−i1-11−ii−ii
χ121111-1-11111-111-1-1-11111-11111-1-111-1-1-1-1-1-1-111-1−ii−ii-1-11111-1-1−i−iii−i−iii1-11i−ii−i
χ131111-1-1-1-111111-1-1-11111-1-1-1-1-1-1-1-1-11111-1-11-11-1i−i−ii11-1-111-1-1ii−i−i−i−iii-111i−i−ii
χ141111-1-1-1-111111-1-1-11111-1-1-1-1-1-1-1-1-11111-1-11-11-1−iii−i11-1-111-1-1−i−iiiii−i−i-111−iii−i
χ151111-1-1-1-111111-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-11-11i−i−ii-1-111-1-111ii−i−i−i−iii-111−iii−i
χ161111-1-1-1-111111-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-11-11−iii−i-1-111-1-111−i−iiiii−i−i-111i−i−ii
χ17222222222222222222222222222222222-2-2000000000000000000000000-2-2-20000
χ18222222-2-222-22222222222-2-2-2-222-2-2-2-2-2-2-2-200000000000000000000000022-20000
χ192222-2-22222-222-2-2-22222-22222-2-222-2-2-2-222000000000000000000000000-22-20000
χ202222-2-2-2-222222-2-2-22222-2-2-2-2-2-2-2-2-22222220000000000000000000000002-2-20000
χ21444444441-24111111-2-2-21-2-2-2-2-2-21111-2-2000000222200000000-1-1-1-1-1-1-1-10000000
χ22444444441-24111111-2-2-21-2-2-2-2-2-21111-2-2000000-2-2-2-200000000111111110000000
χ2344444444-214-2-2-2-2-2-2111-2111111-2-2-2-2110022220000-1-1-1-1-1-1-1-1000000000000000
χ2444444444-214-2-2-2-2-2-2111-2111111-2-2-2-21100-2-2-2-2000011111111000000000000000
χ25444444-4-41-2-4111111-2-2-212222-2-2-1-1-1-12200000022-2-200000000-1-1-1-111110000000
χ26444444-4-41-2-4111111-2-2-212222-2-2-1-1-1-122000000-2-222000000001111-1-1-1-10000000
χ27444444-4-4-21-4-2-2-2-2-2-2111-2-1-1-1-1112222-1-10022-2-20000-1-1-1-11111000000000000000
χ28444444-4-4-21-4-2-2-2-2-2-2111-2-1-1-1-1112222-1-100-2-22200001111-1-1-1-1000000000000000
χ294444-4-4441-2-411-1-1-11-2-2-2-1-2-2-2-22211-1-1220000002i−2i2i−2i00000000−i−iii−i−iii0000000
χ304444-4-4441-2-411-1-1-11-2-2-2-1-2-2-2-22211-1-122000000−2i2i−2i2i00000000ii−i−iii−i−i0000000
χ314444-4-444-21-4-2-2222-211121111-1-1-2-222-1-1002-2-220000-1-11111-1-1000000000000000
χ324444-4-444-21-4-2-2222-211121111-1-1-2-222-1-100-222-2000011-1-1-1-111000000000000000
χ334444-4-4-4-41-2411-1-1-11-2-2-2-1222222-1-111-2-20000002i−2i−2i2i00000000−i−iiiii−i−i0000000
χ344444-4-4-4-41-2411-1-1-11-2-2-2-1222222-1-111-2-2000000−2i2i2i−2i00000000ii−i−i−i−iii0000000
χ354444-4-4-4-4-214-2-2222-21112-1-1-1-1-1-122-2-211002-22-20000-1-111-1-111000000000000000
χ364444-4-4-4-4-214-2-2222-21112-1-1-1-1-1-122-2-21100-22-22000011-1-111-1-1000000000000000
χ3744-4-400004404-4000-44-4-400000000000004i−4i0000000000000000000000000000000
χ3844-4-400004404-4000-44-4-40000000000000−4i4i0000000000000000000000000000000
χ394-44-44-400440-4444-4-4-44-4-400004-4000000000000000000000000000000000000000
χ404-44-44-400-2102-2-2-222-11-123i3i−3i−3i1-100003i−3i0000000000−i3i3−i3i33−33−3000000000000000
χ414-44-44-400-2102-2-2-222-11-123i3i−3i−3i1-100003i−3i0000000000i3−i3i3−i3−33−33000000000000000
χ424-44-44-400-2102-2-2-222-11-12−3i−3i3i3i1-10000−3i3i0000000000−i3i3−i3i3−33−33000000000000000
χ434-44-44-400-2102-2-2-222-11-12−3i−3i3i3i1-10000−3i3i0000000000i3−i3i3−i33−33−3000000000000000
χ444-44-4-4400440-44-4-44-4-44-440000-44000000000000000000000000000000000000000
χ454-44-4-4400-2102-222-22-11-1-23i3i−3i−3i-110000−3i3i0000000000−i3i3i3−i3−333−3000000000000000
χ464-44-4-4400-2102-222-22-11-1-23i3i−3i−3i-110000−3i3i0000000000i3−i3−i3i33−3−33000000000000000
χ474-44-4-4400-2102-222-22-11-1-2−3i−3i3i3i-1100003i−3i0000000000−i3i3i3−i33−3−33000000000000000
χ484-44-4-4400-2102-222-22-11-1-2−3i−3i3i3i-1100003i−3i0000000000i3−i3−i3i3−333−3000000000000000
χ494-4-44004-41-20-1-13-33122-2-32-22-2001-13-300000000000000000000−i3i3−i3i3−i3i3−i3i30000000
χ504-4-44004-41-20-1-13-33122-2-32-22-2001-13-300000000000000000000i3−i3i3−i3i3−i3i3−i30000000
χ514-4-44004-41-20-1-1-33-3122-232-22-2001-1-33000000000000000000003−3−333−3−330000000
χ524-4-44004-41-20-1-1-33-3122-232-22-2001-1-3300000000000000000000−333−3−333−30000000
χ534-4-44004-4440-4-40004-4-440-44-44004-40000000000000000000000000000000000000
χ544-4-4400-441-20-1-13-33122-2-3-22-2200-11-3300000000000000000000−i3i3−i3i3i3−i3i3−i30000000
χ554-4-4400-441-20-1-13-33122-2-3-22-2200-11-3300000000000000000000i3−i3i3−i3−i3i3−i3i30000000
χ564-4-4400-441-20-1-1-33-3122-23-22-2200-113-3000000000000000000003−3−33−333−30000000
χ574-4-4400-441-20-1-1-33-3122-23-22-2200-113-300000000000000000000−333−33−3−330000000
χ584-4-4400-44440-4-40004-4-4404-44-400-440000000000000000000000000000000000000
χ5988-8-800002-402-26-6-6-2-4446000000000000000000000000000000000000000000000
χ6088-8-800002-402-2-666-2-444-6000000000000000000000000000000000000000000000
χ6188-8-80000-420-4400042-2-206i−6i−6i6i00000000000000000000000000000000000000000
χ6288-8-80000-420-4400042-2-20−6i6i6i−6i00000000000000000000000000000000000000000
χ638-88-88-8002-40-2222-2-24-44-20000-44000000000000000000000000000000000000000
χ648-88-8-88002-40-22-2-22-24-44200004-4000000000000000000000000000000000000000
χ658-8-88008-8-42044000-4-2-220-22-2200-440000000000000000000000000000000000000
χ668-8-8800-88-42044000-4-2-2202-22-2004-40000000000000000000000000000000000000

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