Finite Group Databasebeta

← Group #14512392

Character table — Group #14512392

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111444455556688881010101012122424242424242430303232323240404040404040404040404048486060606060606060120120120
order1222510101022224436664444884202040404040441530303066661212121212121212202044888888444
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-111-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11-1-1
χ4111111111111111111-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ511111111-1-1-1-1111111ii−i−i111111111-1-11111-1-1-1-1iiii−i−i−i−i11i−i-1-1ii−i−i-1i−i
χ611111111-1-1-1-1111111ii−i−i-1-1-111-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i-1-1i−i11−i−iii1−ii
χ711111111-1-1-1-1111111−i−iii111111111-1-11111-1-1-1-1−i−i−i−iiiii11−ii-1-1−i−iii-1−ii
χ811111111-1-1-1-1111111−i−iii-1-1-111-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii-1-1−ii11ii−i−i1i−i
χ922222222222222-1-1-1-1222200022000022-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022000000000
χ1022222222222222-1-1-1-1-2-2-2-200022000022-1-1-1-1-1-1-1-11111111100-2-2000000000
χ1122222222-2-2-2-222-1-1-1-12i2i−2i−2i000220000-2-2-1-1-1-11111−i−i−i−iiiii002i−2i000000000
χ1222222222-2-2-2-222-1-1-1-1−2i−2i2i2i000220000-2-2-1-1-1-11111iiii−i−i−i−i00−2i2i000000000
χ1322-2-222-2-222-2-200-111-12-22-22−200022−2−200-111-111-1-111-1-111-1-100002−22−22−2000
χ1422-2-222-2-222-2-200-111-12-22-2−22000−2−22200-111-111-1-111-1-111-1-10000−22−22−22000
χ1522-2-222-2-222-2-200-111-1-22-222−200022−2−200-111-111-1-1-1-111-1-11100002−2−22−22000
χ1622-2-222-2-222-2-200-111-1-22-22−22000−2−22200-111-111-1-1-1-111-1-1110000−222−22−2000
χ1722-2-222-2-2-2-22200-111-12i−2i−2i2i2−200022−2−200-111-1-1-111ii−i−i−i−iii0000−22i2−i2−i2i2000
χ1822-2-222-2-2-2-22200-111-12i−2i−2i2i−22000−2−22200-111-1-1-111ii−i−i−i−iii00002−2−i2i2i2−i2000
χ1922-2-222-2-2-2-22200-111-1−2i2i2i−2i2−200022−2−200-111-1-1-111−i−iiiii−i−i0000−22−i2i2i2−i2000
χ2022-2-222-2-2-2-22200-111-1−2i2i2i−2i−22000−2−22200-111-1-1-111−i−iiiii−i−i00002−2i2−i2−i2i2000
χ212-2-222-2-222-2-22-2222-2-20000000-220000-2222-2-22-22-2000000000000000000000
χ222-2-222-2-222-2-22-22-1-1110000000-220000-22-1-111-11-113−33−33−33−30000000000000
χ232-2-222-2-222-2-22-22-1-1110000000-220000-22-1-111-11-11−33−33−33−330000000000000
χ242-2-222-2-22-222-2-2222-2-20000000-2200002-222-2-2-22-22000000000000000000000
χ252-2-222-2-22-222-2-22-1-1110000000-2200002-2-1-1111-11-1−i3i3−i3i3i3−i3i3−i30000000000000
χ262-2-222-2-22-222-2-22-1-1110000000-2200002-2-1-1111-11-1i3−i3i3−i3−i3i3−i3i30000000000000
χ27333333333333-1-10000333311-1-1-11111-1-10000000000000000-1-1-1-1111111-1-1-1
χ28333333333333-1-100003333-1-11-1-1-1-1-1-1-1-1000000000000000011-1-1-1-1-1-1-1-1111
χ29333333333333-1-10000-3-3-3-311-1-1-11111-1-10000000000000000-1-11111-1-1-1-1-111
χ30333333333333-1-10000-3-3-3-3-1-11-1-1-1-1-1-1-1-100000000000000001111-1-111111-1-1
χ3133333333-3-3-3-3-1-100003i3i−3i−3i11-1-1-11111110000000000000000-1-1−ii-1-1ii−i−i1−ii
χ3233333333-3-3-3-3-1-100003i3i−3i−3i-1-11-1-1-1-1-1-111000000000000000011−ii11−i−iii-1i−i
χ3333333333-3-3-3-3-1-10000−3i−3i3i3i11-1-1-11111110000000000000000-1-1i−i-1-1−i−iii1i−i
χ3433333333-3-3-3-3-1-10000−3i−3i3i3i-1-11-1-1-1-1-1-111000000000000000011i−i11ii−i−i-1−ii
χ354444-1-1-1-100004444440000444-1-1-1-1-1-100-1-1-1-1000000000000-1-100000000000
χ364444-1-1-1-100004444440000-4-4-4-1-1111100-1-1-1-10000000000001100000000000
χ3744-4-444-4-444-4-4001-1-114-44-4000000000001-1-11-1-111-1-111-1-1110000000000000
χ3844-4-444-4-444-4-4001-1-11-44-44000000000001-1-11-1-11111-1-111-1-10000000000000
χ3944-4-444-4-4-4-444001-1-114i−4i−4i4i000000000001-1-1111-1-1−i−iiiii−i−i0000000000000
χ4044-4-444-4-4-4-444001-1-11−4i4i4i−4i000000000001-1-1111-1-1ii−i−i−i−iii0000000000000
χ414-44-44-44-44-44-4001-11-10000000000000001-11-1-111-13−3−333−3−330000000000000
χ424-44-44-44-44-44-4001-11-10000000000000001-11-1-111-1−333−3−333−30000000000000
χ434-44-44-44-44-44-400-22-22000000000000000-22-222-2-22000000000000000000000
χ444-44-44-44-4-44-44001-11-10000000000000001-11-11-1-11−i3i3i3−i3i3−i3−i3i30000000000000
χ454-44-44-44-4-44-44001-11-10000000000000001-11-11-1-11i3−i3−i3i3−i3i3i3−i30000000000000
χ464-44-44-44-4-44-4400-22-22000000000000000-22-22-222-2000000000000000000000
χ474-4-44-111-10000-4444-4-400000001-1−55−5500-1-111000000000000−5500000000000
χ484-4-44-111-10000-4444-4-400000001-15−55−500-1-1110000000000005−500000000000
χ496-6-666-6-666-6-662-2000000000002-200002-200000000000000000000000000000
χ506-6-666-6-66-666-62-2000000000002-20000-2200000000000000000000000000000
χ518888-2-2-2-2000088-4-4-4-40000000-2-200000011110000000000000000000000000
χ5288-8-8-2-222000000-444-4000042−42000−2−222001-1-110000000000000000000000000
χ5388-8-8-2-222000000-444-40000−424200022−2−2001-1-110000000000000000000000000
χ548-88-8-22-22000000-44-4400000000010−10−1010001-11-10000000000000000000000000
χ558-88-8-22-22000000-44-44000000000−101010−10001-11-10000000000000000000000000
χ568-8-88-222-20000-88-4-44400000002-200000011-1-10000000000000000000000000
χ5712121212-3-3-3-30000-4-40000000044-411-1-1-1-10000000000000000001100000000000
χ5812121212-3-3-3-30000-4-400000000-4-44111111000000000000000000-1-100000000000
χ5912-12-1212-333-300004-400000000000-11−55−550000000000000000005−500000000000
χ6012-12-1212-333-300004-400000000000-115−55−5000000000000000000−5500000000000
χ611616-16-16-4-4440000004-4-44000000000000000-111-10000000000000000000000000
χ6216-1616-16-44-440000004-44-4000000000000000-11-110000000000000000000000000

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