Finite Group Databasebeta

← Group #11771827

Character table — Group #11771827

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111224444444444444444448888888824242424242424242424242424242424242424242424242436367272727272
order1222223344666666666612121212661212121212122244666688881212121224242424242424244448888
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111-1-1-1-1
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
χ511111111-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i-1-11ii−i−i
χ611111111-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-11111−i−iii-1-1-1-1−i−i−i−iiiii-1-11−i−iii
χ711111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1ii−i−i1111iiii−i−i−i−i-1-11−i−iii
χ811111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1−i−iii1111−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
χ112-22-22-22200-2-222-2-2-222-200002-2000000000000001+i−1−i1−i−1+i00001+i1+i−1−i−1−i1−i1−i−1+i−1+i2i−2i00000
χ122-22-22-22200-2-222-2-2-222-200002-2000000000000001−i−1+i1+i−1−i00001−i1−i−1+i−1+i1+i1+i−1−i−1−i−2i2i00000
χ132-22-22-22200-2-222-2-2-222-200002-200000000000000−1+i1−i−1−i1+i0000−1+i−1+i1−i1−i−1−i−1−i1+i1+i−2i2i00000
χ142-22-22-22200-2-222-2-2-222-200002-200000000000000−1−i1+i−1+i1−i0000−1−i−1−i1+i1+i−1+i−1+i1−i1−i2i−2i00000
χ152-22-2-22222-2-2-2-2-22-2-222222-2-2-22222-2-2-2000000000000000000000000000−i2i2−i2i2
χ162-22-2-22222-2-2-2-2-22-2-222222-2-2-22222-2-2-2000000000000000000000000000i2−i2i2−i2
χ172-22-2-2222-22-2-2-2-22-2-2222-2-222-22-2-2-22220000000000000000000000000002−2−22
χ182-22-2-2222-22-2-2-2-22-2-2222-2-222-22-2-2-2222000000000000000000000000000−222−2
χ194444441-24411-2-2-2-2-21-2-21111111-2-21-2-20000000022220000-1-1-1-1-1-1-1-10000000
χ204444441-24411-2-2-2-2-21-2-21111111-2-21-2-200000000-2-2-2-20000111111110000000
χ214444441-2-4-411-2-2-2-2-21-2-2-1-1-1-111-122-122000000002i2i−2i−2i0000−i−i−i−iiiii0000000
χ224444441-2-4-411-2-2-2-2-21-2-2-1-1-1-111-122-12200000000−2i−2i2i2i0000iiii−i−i−i−i0000000
χ23444444-2144-2-211111-211-2-2-2-2-2-2-211-2112222-1-1-1-10000-1-1-1-1000000000000000
χ24444444-2144-2-211111-211-2-2-2-2-2-2-211-211-2-2-2-2111100001111000000000000000
χ25444444-21-4-4-2-211111-2112222-2-22-1-12-1-122-2-2-1-1-1-100001111000000000000000
χ26444444-21-4-4-2-211111-2112222-2-22-1-12-1-1-2-22211110000-1-1-1-1000000000000000
χ274444-4-41-20011222-2-21-223333-1-1-300-30000000000000000003−33−33−33−30000000
χ284444-4-41-20011222-2-21-223333-1-1-300-3000000000000000000−33−33−33−330000000
χ294444-4-41-20011222-2-21-22-3-3-3-3-1-13003000000000000000000−i3i3−i3i3i3−i3i3−i30000000
χ304444-4-41-20011222-2-21-22-3-3-3-3-1-13003000000000000000000i3−i3i3−i3−i3i3−i3i30000000
χ314444-4-4440044-4-4-44444-40000-4-40000000000000000000000000000000000000
χ3244-4-40044004-40004-4-4-40000000000000002i−2i000000002i2i−2i−2i000000000000000
χ3344-4-40044004-40004-4-4-4000000000000000−2i2i00000000−2i−2i2i2i000000000000000
χ3444-4-400-2100-223-3-31-12-1323−2323−230003−303−3002i−2i−i3−i3i3i30000−i−iii000000000000000
χ3544-4-400-2100-223-3-31-12-1323−2323−230003−303−300−2i2ii3i3−i3−i30000ii−i−i000000000000000
χ3644-4-400-2100-223-3-31-12-13−2323−2323000−330−33002i−2ii3i3−i3−i30000−i−iii000000000000000
χ3744-4-400-2100-223-3-31-12-13−2323−2323000−330−3300−2i2i−i3−i3i3i30000ii−i−i000000000000000
χ384-44-44-41-200-1-1-2-22221-2233-3-31-1-300300000000002-22-20000-1-111-1-1110000000
χ394-44-44-41-200-1-1-2-22221-2233-3-31-1-30030000000000-22-22000011-1-111-1-10000000
χ404-44-44-41-200-1-1-2-22221-22-3-3331-1300-300000000002i−2i−2i2i0000−i−iiiii−i−i0000000
χ414-44-44-41-200-1-1-2-22221-22-3-3331-1300-30000000000−2i2i2i−2i0000ii−i−i−i−iii0000000
χ424-44-4-441-24-4-1-122-2221-2-211-1-1-111-2-2-12200000000000000003−3−333−3−330000000
χ434-44-4-441-24-4-1-122-2221-2-211-1-1-111-2-2-1220000000000000000−333−3−333−30000000
χ444-44-4-441-2-44-1-122-2221-2-2-1-111-11-1221-2-20000000000000000−i3i3i3−i3i3−i3−i3i30000000
χ454-44-4-441-2-44-1-122-2221-2-2-1-111-11-1221-2-20000000000000000i3−i3−i3i3−i3i3i3−i30000000
χ464-44-4-44-214-422-1-11-1-1-211-2-2222-2-2112-1-10000−i3i3−i3i30000−i3i3−i3i3000000000000000
χ474-44-4-44-214-422-1-11-1-1-211-2-2222-2-2112-1-10000i3−i3i3−i30000i3−i3i3−i3000000000000000
χ484-44-4-44-21-4422-1-11-1-1-21122-2-22-22-1-1-2110000−i3i3−i3i30000i3−i3i3−i3000000000000000
χ494-44-4-44-21-4422-1-11-1-1-21122-2-22-22-1-1-2110000i3−i3i3−i30000−i3i3−i3i3000000000000000
χ504-4-44004400-44000-44-4-400000000000002-2002-2-2200000000000000000000000
χ514-4-44004400-44000-44-4-40000000000000-2200-222-200000000000000000000000
χ524-4-4400-21002-2-33-3-112-1323−23−23230003−30−332-200-111-100003−3−33000000000000000
χ534-4-4400-21002-2-33-3-112-1323−23−23230003−30−33-22001-1-110000−333−3000000000000000
χ544-4-4400-21002-2-33-3-112-13−232323−23000−3303−32-200-111-10000−333−3000000000000000
χ554-4-4400-21002-2-33-3-112-13−232323−23000−3303−3-22001-1-1100003−3−33000000000000000
χ568888-8-8-4200-4-4-2-2-222-42-20000440000000000000000000000000000000000000
χ5788-8-8002-4002-2000-44-24023−2323−23000−23230−23230000000000000000000000000000000
χ5888-8-8002-4002-2000-44-240−2323−232300023−23023−230000000000000000000000000000000
χ5988-8-800-4200-44-6662-24-2-60000000000000000000000000000000000000000000
χ608-88-88-8-42004422-2-2-2-42-20000-440000000000000000000000000000000000000
χ618-8-88002-400-220004-4-24023−23−2323000−2323023−230000000000000000000000000000000
χ628-8-88002-400-220004-4-240−232323−2300023−230−23230000000000000000000000000000000
χ638-8-8800-42004-46-66-224-2-60000000000000000000000000000000000000000000

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