Finite Group Databasebeta

← Group #14515223

Character table — Group #14515223

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size111122222220202020242424242424242424242424242424243030303040404040404040404040606080808080120120120120
order1222224444366651010101010101020202020202020204444244466121212124461212128888
χ1111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11-11-1-1111-1-1
χ4111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1-111-1-1-111
χ51111-1-111-1-11111111-1-1-1-111111-1-1-1-111111-11-1-1-111-1-1-1-111-1-11-11-1
χ61111-1-111-1-11111111-1-1-1-111111-1-1-1-11111-11-11-1-111-1-1-1-1-1-111-11-11
χ71111-1-1-1-1111111111-1-1-1-11-1-1-1-11111-1-1111-1-11-1-1-1-111-111-11-11-1-11
χ81111-1-1-1-1111111111-1-1-1-11-1-1-1-11111-1-111-111-1-1-1-1-111-11-11-11-111-1
χ92-22-2002i−2i0022-2-222-20000-22i2i−2i−2i00002i−2i2-20000002i−2i000000000000
χ102-22-200−2i2i0022-2-222-20000-2−2i−2i2i2i0000−2i2i2-2000000−2i2i000000000000
χ1144444444441111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222211111100-1-1-1-10000
χ1244444444441111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-21111110011110000
χ13444444-4-4-4-41111-1-1-1-1-1-1-1-111111111000022-2-211-1-1-1-100-111-10000
χ14444444-4-4-4-41111-1-1-1-1-1-1-1-1111111110000-2-22211-1-1-1-1001-1-110000
χ154444-4-444-4-41111-1-1-11111-1-1-1-1-1111100002-22-2-1-111-1-100-1-1110000
χ164444-4-444-4-41111-1-1-11111-1-1-1-1-111110000-22-22-1-111-1-10011-1-10000
χ174444-4-4-4-4441111-1-1-11111-11111-1-1-1-100002-2-22-1-1-1-11100-11-110000
χ184444-4-4-4-4441111-1-1-11111-11111-1-1-1-10000-222-2-1-1-1-111001-11-10000
χ1944-4-44-40000-222-2-11111-1-1-15−55−555−5−5000000002-200000000000000
χ2044-4-44-40000-222-2-11111-1-1-1−55−55−5−555000000002-200000000000000
χ2144-4-4-440000-222-2-111-1-111-15−55−5−5−55500000000-2200000000000000
χ2244-4-4-440000-222-2-111-1-111-1−55−5555−5−500000000-2200000000000000
χ234-4-4400004i−4i-22-22-11-15−55−51i5−i5−i5i5i−ii−i0000000000002i−2i0000000000
χ244-4-4400004i−4i-22-22-11-1−55−551−i5i5i5−i5i−ii−i0000000000002i−2i0000000000
χ254-4-440000−4i4i-22-22-11-15−55−51−i5i5i5−i5−ii−ii000000000000−2i2i0000000000
χ264-4-440000−4i4i-22-22-11-1−55−551i5−i5−i5i5−ii−ii000000000000−2i2i0000000000
χ275555555555-1-1-1-1000000000000000011111111-1-1-1-1-1-1111111-1-1-1-1
χ285555555555-1-1-1-100000000000000001111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ29555555-5-5-5-5-1-1-1-10000000000000000-1-11111-1-1-1-111111-11-1-11-1-111
χ30555555-5-5-5-5-1-1-1-10000000000000000-1-111-1-111-1-111111-1-111-111-1-1
χ315555-5-555-5-5-1-1-1-1000000000000000011111-11-111-1-111-1-111-1-1-11-11
χ325555-5-555-5-5-1-1-1-100000000000000001111-11-1111-1-111-1-1-1-1111-11-1
χ335555-5-5-5-555-1-1-1-10000000000000000-1-1111-1-111111-1-1-111-11-1-111-1
χ345555-5-5-5-555-1-1-1-10000000000000000-1-111-111-11111-1-1-11-11-111-1-11
χ35666666666600001111111111111111-2-2-2-20000000000-2-200000000
χ36666666-6-6-6-6000011111111-1-1-1-1-1-1-1-122-2-20000000000-2200000000
χ376666-6-666-6-60000111-1-1-1-111111-1-1-1-1-2-2-2-200000000002200000000
χ386666-6-6-6-6660000111-1-1-1-11-1-1-1-1111122-2-200000000002-200000000
χ396-66-6006i−6i00000011-15−5−55-1ii−i−ii5−i5−i5i5−2i2i-2200000000000000000000
χ406-66-6006i−6i00000011-1−555−5-1ii−i−i−i5i5i5−i5−2i2i-2200000000000000000000
χ416-66-600−6i6i00000011-15−5−55-1−i−iii−i5i5i5−i52i−2i-2200000000000000000000
χ426-66-600−6i6i00000011-1−555−5-1−i−iiii5−i5−i5i52i−2i-2200000000000000000000
χ4388-8-88-800002-2-22-22222-2-2-20000000000000000-2200000000000000
χ4488-8-8-8800002-2-22-222-2-222-200000000000000002-200000000000000
χ458-88-8008i−8i0022-2-2-2-2200002−2i−2i2i2i000000000000002i−2i000000000000
χ468-88-800−8i8i0022-2-2-2-22000022i2i−2i−2i00000000000000−2i2i000000000000
χ478-8-8800008i−8i2-22-2-22-20000200002i−2i2i−2i000000000000−2i2i0000000000
χ488-8-880000−8i8i2-22-2-22-2000020000−2i2i−2i2i0000000000002i−2i0000000000
χ4910-1010-100010i−10i00-2-22200000000000000002i−2i2-2000000−2i2i000000000000
χ5010-1010-1000−10i10i00-2-2220000000000000000−2i2i2-20000002i−2i000000000000
χ511212-12-1212-12000000002-2-2-2-222200000000000000000000000000000000
χ521212-12-12-1212000000002-2-222-2-2200000000000000000000000000000000
χ5312-12-1212000012i−12i00002-220000-20000−2i2i−2i2i000000000000000000000000
χ5412-12-12120000−12i12i00002-220000-200002i−2i2i−2i000000000000000000000000

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