Finite Group Databasebeta

← Group #11771963

Character table — Group #11771963

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−i1111-1-1-1-1iiii−i−i−i−i-1-11ii−i−i
χ611111111-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii-1-11−i−iii
χ711111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i-1-11−i−iii
χ811111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111−i−iii-1-1-1-11111−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
χ1122-2-22-2222-222-2-2-2-222-2-222-2-22-2222-2-2-20000000000000000000000000002−22−2
χ1222-2-22-2222-222-2-2-2-222-2-222-2-22-2222-2-2-2000000000000000000000000000−22−22
χ1322-2-22-222-2222-2-2-2-222-2-2-2-2222-2-2-2-2222000000000000000000000000000−i2i2i2−i2
χ1422-2-22-222-2222-2-2-2-222-2-2-2-2222-2-2-2-2222000000000000000000000000000i2−i2−i2i2
χ1522-2-2-222200-2-22-2-2-2222-20000-2200000000001+i−1−i1−i−1+i000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i2i−2i00000
χ1622-2-2-222200-2-22-2-2-2222-20000-2200000000001−i−1+i1+i−1−i000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i−2i2i00000
χ1722-2-2-222200-2-22-2-2-2222-20000-220000000000−1+i1−i−1−i1+i00000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i−2i2i00000
χ1822-2-2-222200-2-22-2-2-2222-20000-220000000000−1−i1+i−1+i1−i00000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i2i−2i00000
χ194444441-2441111-2-21-211-2-2-2-2-2-211-211-222220000-1-1-1-1-1-1-1-1000000000000000
χ204444441-2441111-2-21-211-2-2-2-2-2-211-211-2-2-2-2-2000011111111000000000000000
χ214444441-2-4-41111-2-21-2112222-2-2-1-12-1-1222-2-20000-1-1-1-11111000000000000000
χ224444441-2-4-41111-2-21-2112222-2-2-1-12-1-12-2-22200001111-1-1-1-1000000000000000
χ23444444-2144-2-2-2-211-21-2-2111111-2-21-2-210000222200000000-1-1-1-1-1-1-1-10000000
χ24444444-2144-2-2-2-211-21-2-2111111-2-21-2-210000-2-2-2-200000000111111110000000
χ25444444-21-4-4-2-2-2-211-21-2-2-1-1-1-11122-122-100002i2i−2i−2i00000000−i−i−i−iiiii0000000
χ26444444-21-4-4-2-2-2-211-21-2-2-1-1-1-11122-122-10000−2i−2i2i2i00000000iiii−i−i−i−i0000000
χ274444-4-44400-4-4-444444-440000-4-40000000000000000000000000000000000000
χ284444-4-4-2100222-211-212-23333-1-100-300-300000000000000003−33−33−33−30000000
χ294444-4-4-2100222-211-212-23333-1-100-300-30000000000000000−33−33−33−330000000
χ304444-4-4-2100222-211-212-2-3-3-3-3-1-10030030000000000000000−i3i3−i3i3i3−i3i3−i30000000
χ314444-4-4-2100222-211-212-2-3-3-3-3-1-10030030000000000000000i3−i3i3−i3−i3i3−i3i30000000
χ3244-4-44-41-24-411-1-1221-2-1-1-2-222-2211-2-1-120000000033−3−333−3−3000000000000000
χ3344-4-44-41-24-411-1-1221-2-1-1-2-222-2211-2-1-1200000000−3−333−3−333000000000000000
χ3444-4-44-41-2-4411-1-1221-2-1-122-2-2-22-1-1211-20000000033−3−3−3−333000000000000000
χ3544-4-44-41-2-4411-1-1221-2-1-122-2-2-22-1-1211-200000000−3−33333−3−3000000000000000
χ3644-4-44-4-214-4-2-222-1-1-212211-1-11-1-2-2122-100000000000000003−3−333−3−330000000
χ3744-4-44-4-214-4-2-222-1-1-212211-1-11-1-2-2122-10000000000000000−333−3−333−30000000
χ3844-4-44-4-21-44-2-222-1-1-2122-1-1111-122-1-2-210000000000000000−i3i3i3−i3i3−i3−i3i30000000
χ3944-4-44-4-21-44-2-222-1-1-2122-1-1111-122-1-2-210000000000000000i3−i3−i3i3−i3i3i3−i30000000
χ4044-4-4-44-210022-22-1-1-21-2233-3-3-1100-300300002-22-200000000-1-111-1-1110000000
χ4144-4-4-44-210022-22-1-1-21-2233-3-3-1100-30030000-22-220000000011-1-111-1-10000000
χ4244-4-4-44-210022-22-1-1-21-22-3-333-1100300-300002i−2i−2i2i00000000−i−iiiii−i−i0000000
χ4344-4-4-44-210022-22-1-1-21-22-3-333-1100300-30000−2i2i2i−2i00000000ii−i−i−i−iii0000000
χ444-44-4001-2003-3-3-12-2-123123−2323−23003−303−30002i−2i0000−i3i3−i3i3i−ii−i000000000000000
χ454-44-4001-2003-3-3-12-2-123123−2323−23003−303−3000−2i2i0000i3−i3i3−i3−ii−ii000000000000000
χ464-44-4001-2003-3-3-12-2-1231−2323−232300−330−330002i−2i0000i3−i3i3−i3i−ii−i000000000000000
χ474-44-4001-2003-3-3-12-2-1231−2323−232300−330−33000−2i2i0000−i3i3−i3i3−ii−ii000000000000000
χ484-44-4004400000-4-44-4-404000000000000002i−2i00000000−2i2i−2i2i000000000000000
χ494-44-4004400000-4-44-4-40400000000000000−2i2i000000002i−2i2i−2i000000000000000
χ504-4-44001-2003-331-22-12-3-123−23−2323003−30−3302i−2i000000i−i−iii3−i3−i3i3000000000000000
χ514-4-44001-2003-331-22-12-3-123−23−2323003−30−330−2i2i000000−iii−i−i3i3i3−i3000000000000000
χ524-4-44001-2003-331-22-12-3-1−232323−2300−3303−302i−2i000000i−i−ii−i3i3i3−i3000000000000000
χ534-4-44001-2003-331-22-12-3-1−232323−2300−3303−30−2i2i000000−iii−ii3−i3−i3i3000000000000000
χ544-4-4400440000044-4-4-40-40000000000002i−2i000000−2i2i2i−2i0000000000000000000
χ554-4-4400440000044-4-4-40-4000000000000−2i2i0000002i−2i−2i2i0000000000000000000
χ568888-8-82-400-2-2-22-4-42-4-220000440000000000000000000000000000000000000
χ5788-8-8-882-400-2-22-2442-42-200004-40000000000000000000000000000000000000
χ588-88-8002-400-666-24-4-24-620000000000000000000000000000000000000000000
χ598-88-800-42000004-224-20-423−2323−2300−23230−232300000000000000000000000000000000
χ608-88-800-42000004-224-20-4−2323−23230023−23023−2300000000000000000000000000000000
χ618-8-88002-400-66-62-44-246-20000000000000000000000000000000000000000000
χ628-8-8800-4200000-42-24-20423−23−232300−2323023−2300000000000000000000000000000000
χ638-8-8800-4200000-42-24-204−232323−230023−230−232300000000000000000000000000000000

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