Finite Group Databasebeta

← Group #11771844

Character table — Group #11771844

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111224444444444444444448888888824242424242424242424242424242424242424242424242436367272727272
order12222233446666666666121212126612121212121244448888121212121212121224242424242424244448888
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ511111111-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-1ii−i−i-1-1-1-11111iiii−i−i−i−i-1-11ii−i−i
χ611111111-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-1−i−iii-1-1-1-11111−i−i−i−iiiii-1-11−i−iii
χ711111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111ii−i−i1111-1-1-1-1iiii−i−i−i−i-1-11−i−iii
χ811111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111−i−iii1111-1-1-1-1−i−i−i−iiiii-1-11ii−i−i
χ922222222222222222222222222222222000000000000000000000000-2-2-20000
χ1022222222-2-22222222222-2-2-2-222-2-2-2-2-2-200000000000000000000000022-20000
χ112-22-22-2220022-2-2-2-2-22-2200002-200000000001+i−1−i1−i−1+i000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i2i−2i00000
χ122-22-22-2220022-2-2-2-2-22-2200002-200000000001−i−1+i1+i−1−i000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i−2i2i00000
χ132-22-22-2220022-2-2-2-2-22-2200002-20000000000−1+i1−i−1−i1+i00000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i−2i2i00000
χ142-22-22-2220022-2-2-2-2-22-2200002-20000000000−1−i1+i−1+i1−i00000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i2i−2i00000
χ152-22-2-22222-2-2-22-2-2-2-222222-2-2-222-222-2-2000000000000000000000000000−i2i2−i2i2
χ162-22-2-22222-2-2-22-2-2-2-222222-2-2-222-222-2-2000000000000000000000000000i2−i2i2−i2
χ172-22-2-2222-22-2-22-2-2-2-2222-2-222-22-22-2-2220000000000000000000000000002−2−22
χ182-22-2-2222-22-2-22-2-2-2-2222-2-222-22-22-2-222000000000000000000000000000−222−2
χ194444441-24411111-2-2-211-2-2-2-2-2-2-2-2111122220000-1-1-1-1-1-1-1-1000000000000000
χ204444441-24411111-2-2-211-2-2-2-2-2-2-2-21111-2-2-2-2000011111111000000000000000
χ214444441-2-4-411111-2-2-2112222-2-222-1-1-1-122-2-200001111-1-1-1-1000000000000000
χ224444441-2-4-411111-2-2-2112222-2-222-1-1-1-1-2-2220000-1-1-1-11111000000000000000
χ23444444-2144-2-2-2-2-2111-2-211111111-2-2-2-20000222200000000-1-1-1-1-1-1-1-10000000
χ24444444-2144-2-2-2-2-2111-2-211111111-2-2-2-20000-2-2-2-200000000111111110000000
χ25444444-21-4-4-2-2-2-2-2111-2-2-1-1-1-111-1-1222200002i2i−2i−2i00000000−i−i−i−iiiii0000000
χ26444444-21-4-4-2-2-2-2-2111-2-2-1-1-1-111-1-122220000−2i−2i2i2i00000000iiii−i−i−i−i0000000
χ274444-4-44400-4-4-444444-440000-4-40000000000000000000000000000000000000
χ284444-4-4-2100222-2-21112-23333-1-1-3-3000000000000000000003−33−33−33−30000000
χ294444-4-4-2100222-2-21112-23333-1-1-3-300000000000000000000−33−33−33−330000000
χ304444-4-4-2100222-2-21112-2-3-3-3-3-1-13300000000000000000000−i3i3−i3i3i3−i3i3−i30000000
χ314444-4-4-2100222-2-21112-2-3-3-3-3-1-13300000000000000000000i3−i3i3−i3−i3i3−i3i30000000
χ3244-4-4001-2003-331-12-22-3-123−2323−2300003−33−3002-2000011-1-133−3−3000000000000000
χ3344-4-4001-2003-331-12-22-3-123−2323−2300003−33−300-220000-1-111−3−333000000000000000
χ3444-4-4001-2003-331-12-22-3-1−2323−23230000−33−33002-2000011-1-1−3−333000000000000000
χ3544-4-4001-2003-331-12-22-3-1−2323−23230000−33−3300-220000-1-11133−3−3000000000000000
χ3644-4-40044000004-4-44-40-4000000000000002-20000-2-2220000000000000000000
χ3744-4-40044000004-4-44-40-400000000000000-22000022-2-20000000000000000000
χ384-44-44-4-2100-2-2222-1-112-233-3-31-1-33000000002-22-200000000-1-111-1-1110000000
χ394-44-44-4-2100-2-2222-1-112-233-3-31-1-3300000000-22-220000000011-1-111-1-10000000
χ404-44-44-4-2100-2-2222-1-112-2-3-3331-13-3000000002i−2i−2i2i00000000−i−iiiii−i−i0000000
χ414-44-44-4-2100-2-2222-1-112-2-3-3331-13-300000000−2i2i2i−2i00000000ii−i−i−i−iii0000000
χ424-44-4-441-24-4-1-11-1-122-211-2-2222-2-2211-1-100000000−i3i3−i3i3−i3i3−i3i3000000000000000
χ434-44-4-441-24-4-1-11-1-122-211-2-2222-2-2211-1-100000000i3−i3i3−i3i3−i3i3−i3000000000000000
χ444-44-4-441-2-44-1-11-1-122-21122-2-22-22-2-1-11100000000−i3i3−i3i3i3−i3i3−i3000000000000000
χ454-44-4-441-2-44-1-11-1-122-21122-2-22-22-2-1-11100000000i3−i3i3−i3−i3i3−i3i3000000000000000
χ464-44-4-44-214-422-222-1-11-2-211-1-1-111-1-2-22200000000000000003−3−333−3−330000000
χ474-44-4-44-214-422-222-1-11-2-211-1-1-111-1-2-2220000000000000000−333−3−333−30000000
χ484-44-4-44-21-4422-222-1-11-2-2-1-111-11-1122-2-20000000000000000−i3i3i3−i3i3−i3−i3i30000000
χ494-44-4-44-21-4422-222-1-11-2-2-1-111-11-1122-2-20000000000000000i3−i3−i3i3−i3i3i3−i30000000
χ504-4-44001-200-333-11-222-3-123−23−232300003−3−332i−2i000000−i3i3i3−i3i−i−ii000000000000000
χ514-4-44001-200-333-11-222-3-123−23−232300003−3−33−2i2i000000i3−i3−i3i3−iii−i000000000000000
χ524-4-44001-200-333-11-222-3-1−232323−230000−333−32i−2i000000i3−i3−i3i3i−i−ii000000000000000
χ534-4-44001-200-333-11-222-3-1−232323−230000−333−3−2i2i000000−i3i3i3−i3−iii−i000000000000000
χ544-4-44004400000-444-4-40-40000000000002i−2i0000000000−2i2i2i−2i000000000000000
χ554-4-44004400000-444-4-40-4000000000000−2i2i00000000002i−2i−2i2i000000000000000
χ568888-8-82-400-2-2-222-4-4-4-220000440000000000000000000000000000000000000
χ5788-8-8002-400-66-62-24-446-20000000000000000000000000000000000000000000
χ5888-8-800-4200000-44-22-20423−2323−230000−2323−23230000000000000000000000000000000
χ5988-8-800-4200000-44-22-204−2323−2323000023−2323−230000000000000000000000000000000
χ608-88-88-82-40022-2-2-244-4-220000-440000000000000000000000000000000000000
χ618-8-88002-4006-6-6-22-4446-20000000000000000000000000000000000000000000
χ628-8-8800-42000004-42-2-20423−23−23230000−232323−230000000000000000000000000000000
χ638-8-8800-42000004-42-2-204−232323−23000023−23−23230000000000000000000000000000000

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