Finite Group Databasebeta

← Group #11776588

Character table — Group #11776588

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111122444444444444448888888888181818182424242424242424242424242424242436364848484872727272
order1222443344666666121212121212121212121212121222442222888824242424242424244466668888
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111111-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11-111-1-111-1-1
χ611111111-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111-111-1-1-1-111
χ711111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-11-1-1-111-1-111
χ811111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111111-1-1-11111-1-1
χ91111-1-1111-1111111-1-1-1-1-1-11111-1-1-1-111-1-11-11-1i−ii−iii−i−iii−i−i1-11-11-1i−ii−i
χ101111-1-1111-1111111-1-1-1-1-1-11111-1-1-1-111-1-11-11-1−ii−ii−i−iii−i−iii1-11-11-1−ii−ii
χ111111-1-1111-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-11-11i−ii−iii−i−iii−i−i1-1-11-11−ii−ii
χ121111-1-1111-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-11-11−ii−ii−i−iii−i−iii1-1-11-11i−ii−i
χ131111-1-111-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11i−i−iiii−i−i−i−iii111-1-11i−i−ii
χ141111-1-111-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11−iii−i−i−iiiii−i−i111-1-11−iii−i
χ151111-1-111-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1i−i−iiii−i−i−i−iii11-111-1−iii−i
χ161111-1-111-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1−iii−i−i−iiiii−i−i11-111-1i−i−ii
χ17222222222222222222222222222222-2-2-2-20000000000000000-2-200000000
χ1822222222-2-2222222222222-2-2-2-2-2-2-2-222-2-20000000000000000-2200000000
χ192222-2-2222-2222222-2-2-2-2-2-22222-2-2-2-2-2-2220000000000000000-2200000000
χ202222-2-222-22222222-2-2-2-2-2-2-2-2-2-2222222220000000000000000-2-200000000
χ214444441-244111-2-2-21111-2-211-2-211-2-2000000002222-1-1-1-1-1-1-1-10000000000
χ224444441-244111-2-2-21111-2-211-2-211-2-200000000-2-2-2-2111111110000000000
χ234444441-2-4-4111-2-2-21111-2-2-1-122-1-1220000000022-2-2-1-1-1-111110000000000
χ244444441-2-4-4111-2-2-21111-2-2-1-122-1-12200000000-2-2221111-1-1-1-10000000000
χ25444444-2144-2-2-2111-2-2-2-211-2-211-2-2110000222200000000000000-1-1-1-10000
χ26444444-2144-2-2-2111-2-2-2-211-2-211-2-2110000-2-2-2-20000000000000011110000
χ27444444-21-4-4-2-2-2111-2-2-2-21122-1-122-1-1000022-2-200000000000000-1-1110000
χ28444444-21-4-4-2-2-2111-2-2-2-21122-1-122-1-10000-2-2220000000000000011-1-10000
χ294444-4-41-24-4111-2-2-2-1-1-1-12211-2-2-1-122000000002i−2i2i−2i−i−iii−i−iii0000000000
χ304444-4-41-24-4111-2-2-2-1-1-1-12211-2-2-1-12200000000−2i2i−2i2iii−i−iii−i−i0000000000
χ314444-4-41-2-44111-2-2-2-1-1-1-122-1-12211-2-2000000002i−2i−2i2i−i−iiiii−i−i0000000000
χ324444-4-41-2-44111-2-2-2-1-1-1-122-1-12211-2-200000000−2i2i2i−2iii−i−i−i−iii0000000000
χ334444-4-4-214-4-2-2-21112222-1-1-2-21122-1-100002-22-200000000000000-11-110000
χ344444-4-4-214-4-2-2-21112222-1-1-2-21122-1-10000-22-22000000000000001-11-10000
χ354444-4-4-21-44-2-2-21112222-1-122-1-1-2-21100002-2-2200000000000000-111-10000
χ364444-4-4-21-44-2-2-21112222-1-122-1-1-2-2110000-222-2000000000000001-1-110000
χ3744-4-40044004-4-44-4-4000000000000004-40000000000000000000000000000
χ3844-4-40044004-4-44-4-400000000000000-440000000000000000000000000000
χ394-44-4004400-44-4-44-400000000000000004-400000000000000000000000000
χ404-44-4004400-44-4-44-40000000000000000-4400000000000000000000000000
χ414-4-444-41-200-1-1122-211-1-12-23i−3i003i−3i00000000000000−i3i3−i3i33−33−30000000000
χ424-4-444-41-200-1-1122-211-1-12-23i−3i003i−3i00000000000000i3−i3i3−i3−33−330000000000
χ434-4-444-41-200-1-1122-211-1-12-2−3i3i00−3i3i00000000000000−i3i3−i3i3−33−330000000000
χ444-4-444-41-200-1-1122-211-1-12-2−3i3i00−3i3i00000000000000i3−i3i3−i33−33−30000000000
χ454-4-444-44400-4-44-4-4444-4-4-4400000000000000000000000000000000000000
χ464-4-44-441-200-1-1122-2-1-111-223i−3i00−3i3i000000000000003−3−33i3−i3−i3i30000000000
χ474-4-44-441-200-1-1122-2-1-111-223i−3i00−3i3i00000000000000−333−3−i3i3i3−i30000000000
χ484-4-44-441-200-1-1122-2-1-111-22−3i3i003i−3i000000000000003−3−33−i3i3i3−i30000000000
χ494-4-44-441-200-1-1122-2-1-111-22−3i3i003i−3i00000000000000−333−3i3−i3−i3i30000000000
χ504-4-44-444400-4-44-4-44-4-4444-400000000000000000000000000000000000000
χ5188-8-8002-4002-2-2-4446i−6i6i−6i0000000000000000000000000000000000000000
χ5288-8-8002-4002-2-2-444−6i6i−6i6i0000000000000000000000000000000000000000
χ5388-8-800-4200-4442-2-2000000006-60000000000000000000000000000000000
χ5488-8-800-4200-4442-2-200000000-660000000000000000000000000000000000
χ558-88-8002-400-22-24-446i−6i−6i6i0000000000000000000000000000000000000000
χ568-88-8002-400-22-24-44−6i6i6i−6i0000000000000000000000000000000000000000
χ578-88-800-42004-44-22-20000000000006-6000000000000000000000000000000
χ588-88-800-42004-44-22-2000000000000-66000000000000000000000000000000
χ598-8-888-8-420044-4-2-22-4-444-2200000000000000000000000000000000000000
χ608-8-88-88-420044-4-2-2244-4-42-200000000000000000000000000000000000000

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