Finite Group Databasebeta

← Group #11772565

Character table — Group #11772565

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111224444444444444444448888888812121212242424242424242424242424242424242424242424243636363672727272
order12222233446666666666121212126612121212121244444488881212121212121212242424242424242422224444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111-1-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i
χ611111111-1-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii
χ711111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii
χ811111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i
χ91-11-11-1111-111-1-1-1-111-1-111-1-11-1111-1-1-1ii−i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i1-1-111-11-1
χ101-11-11-1111-111-1-1-1-111-1-111-1-11-1111-1-1-1ii−i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii1-1-11-11-11
χ111-11-11-1111-111-1-1-1-111-1-111-1-11-1111-1-1-1−i−iii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i1-1-11-11-11
χ121-11-11-1111-111-1-1-1-111-1-111-1-11-1111-1-1-1−i−iii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii1-1-111-11-1
χ131-11-11-111-1111-1-1-1-111-1-1-1-1111-1-1-1-1111ii−i−i−ii1-1-11ii−i−i−i−iii11-1-1-1-1111-11-1−iii−i
χ141-11-11-111-1111-1-1-1-111-1-1-1-1111-1-1-1-1111ii−i−i−ii-111-1ii−i−i−i−iii-1-11111-1-11-11-1i−i−ii
χ151-11-11-111-1111-1-1-1-111-1-1-1-1111-1-1-1-1111−i−iiii−i1-1-11−i−iiiii−i−i11-1-1-1-1111-11-1i−i−ii
χ161-11-11-111-1111-1-1-1-111-1-1-1-1111-1-1-1-1111−i−iiii−i-111-1−i−iiiii−i−i-1-11111-1-11-11-1−iii−i
χ172222222222222222222222222222222200000000000000000000000000-2-2-2-20000
χ1822222222-2-22222222222-2-2-2-222-2-2-2-2-2-200000000000000000000000000-2-2220000
χ192-22-22-2222-222-2-2-2-222-2-222-2-22-2222-2-2-200000000000000000000000000-222-20000
χ202-22-22-222-2222-2-2-2-222-2-2-2-2222-2-2-2-222200000000000000000000000000-22-220000
χ214444441-2441111-2-21-211-2-2-2-2-2-211-211-22222220000-1-1-1-1-1-1-1-10000000000000000
χ224444441-2441111-2-21-211-2-2-2-2-2-211-211-2-2-2-2-2-2-20000111111110000000000000000
χ234444441-2-4-41111-2-21-2112222-2-2-1-12-1-122222-2-20000-1-1-1-111110000000000000000
χ244444441-2-4-41111-2-21-2112222-2-2-1-12-1-12-2-2-2-22200001111-1-1-1-10000000000000000
χ25444444-2144-2-2-2-211-21-2-2111111-2-21-2-21000000222200000000-1-1-1-1-1-1-1-100000000
χ26444444-2144-2-2-2-211-21-2-2111111-2-21-2-21000000-2-2-2-2000000001111111100000000
χ27444444-21-4-4-2-2-2-211-21-2-2-1-1-1-11122-122-10000002i2i−2i−2i00000000−i−i−i−iiiii00000000
χ28444444-21-4-4-2-2-2-211-21-2-2-1-1-1-11122-122-1000000−2i−2i2i2i00000000iiii−i−i−i−i00000000
χ294444-4-44400-4-44-444444-40000-4-40000000000000000000000000000000000000000
χ304444-4-4-210022-2211-21-223333-1-100-300-30000000000000000003−33−33−33−300000000
χ314444-4-4-210022-2211-21-223333-1-100-300-3000000000000000000−33−33−33−3300000000
χ324444-4-4-210022-2211-21-22-3-3-3-3-1-1003003000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ334444-4-4-210022-2211-21-22-3-3-3-3-1-1003003000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ3444-4-4001-2003-3132-2-12-1-323−2323−23003−303−302i−2i2i−2i000000i−ii−i−i3i3−i3i30000000000000000
χ3544-4-4001-2003-3132-2-12-1-323−2323−23003−303−30−2i2i−2i2i000000−ii−iii3−i3i3−i30000000000000000
χ3644-4-4001-2003-3132-2-12-1-3−2323−232300−330−3302i−2i2i−2i000000i−ii−ii3−i3i3−i30000000000000000
χ3744-4-4001-2003-3132-2-12-1-3−2323−232300−330−330−2i2i−2i2i000000−ii−ii−i3i3−i3i30000000000000000
χ3844-4-40044000040-44-4-4-400000000000002i−2i2i−2i000000−2i2i−2i2i00000000000000000000
χ3944-4-40044000040-44-4-4-40000000000000−2i2i−2i2i0000002i−2i2i−2i00000000000000000000
χ404-44-44-41-24-411-1-1221-2-1-1-2-222-2211-2-1-122i2i−2i−2i2i−2i0000−i−iii−i−iii0000000000000000
χ414-44-44-41-24-411-1-1221-2-1-1-2-222-2211-2-1-12−2i−2i2i2i−2i2i0000ii−i−iii−i−i0000000000000000
χ424-44-44-41-2-4411-1-1221-2-1-122-2-2-22-1-1211-22i2i−2i−2i−2i2i0000−i−iiiii−i−i0000000000000000
χ434-44-44-41-2-4411-1-1221-2-1-122-2-2-22-1-1211-2−2i−2i2i2i2i−2i0000ii−i−i−i−iii0000000000000000
χ444-44-44-4-214-4-2-222-1-1-212211-1-11-1-2-2122-10000002i−2i2i−2i00000000−i−iii−i−iii00000000
χ454-44-44-4-214-4-2-222-1-1-212211-1-11-1-2-2122-1000000−2i2i−2i2i00000000ii−i−iii−i−i00000000
χ464-44-44-4-21-44-2-222-1-1-2122-1-1111-122-1-2-210000002-2-2200000000-1-11111-1-100000000
χ474-44-44-4-21-44-2-222-1-1-2122-1-1111-122-1-2-21000000-222-20000000011-1-1-1-11100000000
χ484-44-4-444400-4-4-44-4-444-440000-440000000000000000000000000000000000000000
χ494-44-4-44-2100222-2-1-1-212-233-3-3-1100-3003000000000000000000−i3i3i3−i3−i3i3i3−i300000000
χ504-44-4-44-2100222-2-1-1-212-233-3-3-1100-3003000000000000000000i3−i3−i3i3i3−i3−i3i300000000
χ514-44-4-44-2100222-2-1-1-212-2-3-333-1100300-30000000000000000003−3−33−333−300000000
χ524-44-4-44-2100222-2-1-1-212-2-3-333-1100300-3000000000000000000−333−33−3−3300000000
χ534-4-44001-2003-3-1-3-22-121323−23−2323003−30−3302-2-220000001-1-11−333−30000000000000000
χ544-4-44001-2003-3-1-3-22-121323−23−2323003−30−330-222-2000000-111-13−3−330000000000000000
χ554-4-44001-2003-3-1-3-22-1213−232323−2300−3303−302-2-220000001-1-113−3−330000000000000000
χ564-4-44001-2003-3-1-3-22-1213−232323−2300−3303−30-222-2000000-111-1−333−30000000000000000
χ574-4-4400440000-404-4-4-4400000000000002-2-22000000-222-200000000000000000000
χ584-4-4400440000-404-4-4-440000000000000-222-20000002-2-2200000000000000000000
χ598888-8-82-400-2-22-2-4-42-42-20000440000000000000000000000000000000000000000
χ6088-8-8002-400-662-64-4-24-260000000000000000000000000000000000000000000000
χ6188-8-800-420000-40-224-24023−2323−2300−23230−232300000000000000000000000000000000000
χ6288-8-800-420000-40-224-240−2323−23230023−23023−2300000000000000000000000000000000000
χ638-88-8-882-400-2-2-22442-4-2200004-40000000000000000000000000000000000000000
χ648-8-88002-400-66-26-44-242-60000000000000000000000000000000000000000000000
χ658-8-8800-420000402-24-2-4023−23−232300−2323023−2300000000000000000000000000000000000
χ668-8-8800-420000402-24-2-40−232323−230023−230−232300000000000000000000000000000000000

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