Finite Group Databasebeta

← Group #11788829

Character table — Group #11788829

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1122244444444444444888888888812121212121212121818181824242424242424242424242436364848484872727272
order122223344666666121212126666121212121212444444444444244412121212121212124461212128888
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111111-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-11-1-1111-1-1
χ61111111-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-1-111-1-1-111
χ71111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-11-1-11-1-111
χ81111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-111-111-1-1
χ911-11-1111-11111-1-111-1-11-1-1-11-111-1-1ii−i−iii−i−i11-1-11-11-1ii−i−iii−i−i1-111-1-1i−ii−i
χ1011-11-1111-11111-1-111-1-11-1-1-11-111-1-1ii−i−iii−i−i11-1-1-11-11ii−i−iii−i−i1-1-1-111−ii−ii
χ1111-11-1111-11111-1-111-1-11-1-1-11-111-1-1−i−iii−i−iii11-1-11-11-1−i−iii−i−iii1-111-1-1−ii−ii
χ1211-11-1111-11111-1-111-1-11-1-1-11-111-1-1−i−iii−i−iii11-1-1-11-11−i−iii−i−iii1-1-1-111i−ii−i
χ1311-11-111-111111-1-1-1-1111-1-1-1-11-1-111ii−i−i−i−iii11-1-11-1-11ii−i−i−i−iii-111-11-1i−i−ii
χ1411-11-111-111111-1-1-1-1111-1-1-1-11-1-111ii−i−i−i−iii11-1-1-111-1ii−i−i−i−iii-11-11-11−iii−i
χ1511-11-111-111111-1-1-1-1111-1-1-1-11-1-111−i−iiiii−i−i11-1-11-1-11−i−iiiii−i−i-111-11-1−iii−i
χ1611-11-111-111111-1-1-1-1111-1-1-1-11-1-111−i−iiiii−i−i11-1-1-111-1−i−iiiii−i−i-11-11-11i−i−ii
χ172222222222222222222222222222200000000-2-2-2-2000000000000-2-200000000
χ182222222-2-2222222-2-2-2-22222-2-2-2-2-2-200000000-2-2-2-20000000000002200000000
χ19222-2-222002-2-22-2-20000-222-200000000002i−2i2i−2i2-22-2000000002i−2i2i−2i0000000000
χ20222-2-222002-2-22-2-20000-222-20000000000−2i2i−2i2i2-22-200000000−2i2i−2i2i0000000000
χ21222-2-222002-2-22-2-20000-222-20000002i−2i2i−2i0000-22-2200002i−2i2i−2i00000000000000
χ22222-2-222002-2-22-2-20000-222-2000000−2i2i−2i2i0000-22-220000−2i2i−2i2i00000000000000
χ2322-22-2222-22222-2-222-2-22-2-2-22-222-2-200000000-2-222000000000000-2200000000
χ2422-22-222-222222-2-2-2-2222-2-2-2-22-2-22200000000-2-2220000000000002-200000000
χ2522-2-2222002-2-22220000-2-2-2200000000002-2-222-2-22000000002-2-220000000000
χ2622-2-2222002-2-22220000-2-2-220000000000-222-22-2-2200000000-222-20000000000
χ2722-2-2222002-2-22220000-2-2-220000002-2-220000-222-200002-2-2200000000000000
χ2822-2-2222002-2-22220000-2-2-22000000-222-20000-222-20000-222-200000000000000
χ29444441-2441-2-2-211111111-2-211-2-2-2-22222222200000000-1-1-1-1-1-1-1-10000000000
χ30444441-2441-2-2-211111111-2-211-2-2-2-2-2-2-2-2-2-2-2-200000000111111110000000000
χ31444441-2-4-41-2-2-211-1-1-1-111-2-2-1-122222222-2-2-2-200000000-1-1-1-111110000000000
χ32444441-2-4-41-2-2-211-1-1-1-111-2-2-1-12222-2-2-2-22222000000001111-1-1-1-10000000000
χ3344444-2144-2111-2-2-2-2-2-2-2-211-2-2111100000000000022220000000000-1-1-1-10000
χ3444444-2144-2111-2-2-2-2-2-2-2-211-2-21111000000000000-2-2-2-2000000000011110000
χ3544444-21-4-4-2111-2-22222-2-21122-1-1-1-100000000000022-2-20000000000-111-10000
χ3644444-21-4-4-2111-2-22222-2-21122-1-1-1-1000000000000-2-22200000000001-1-110000
χ37444-4-41-200122-2-1-133-3-3-11-22-3300002i−2i2i−2i2i−2i2i−2i00000000−ii−ii−ii−ii0000000000
χ38444-4-41-200122-2-1-133-3-3-11-22-330000−2i2i−2i2i−2i2i−2i2i00000000i−ii−ii−ii−i0000000000
χ39444-4-41-200122-2-1-1-3-333-11-223-300002i−2i2i−2i−2i2i−2i2i00000000−ii−iii−ii−i0000000000
χ40444-4-41-200122-2-1-1-3-333-11-223-30000−2i2i−2i2i2i−2i2i−2i00000000i−ii−i−ii−ii0000000000
χ4144-44-41-24-41-2-2-2-1-111-1-11-1221-1-2-2222i2i−2i−2i2i2i−2i−2i00000000−i−iii−i−iii0000000000
χ4244-44-41-24-41-2-2-2-1-111-1-11-1221-1-2-222−2i−2i2i2i−2i−2i2i2i00000000ii−i−iii−i−i0000000000
χ4344-44-41-2-441-2-2-2-1-1-1-1111-122-1122-2-22i2i−2i−2i−2i−2i2i2i00000000−i−iiiii−i−i0000000000
χ4444-44-41-2-441-2-2-2-1-1-1-1111-122-1122-2-2−2i−2i2i2i2i2i−2i−2i00000000ii−i−i−i−iii0000000000
χ4544-44-4-214-4-211122-2-222-22-1-1-2211-1-10000000000002-22-20000000000-1-1110000
χ4644-44-4-214-4-211122-2-222-22-1-1-2211-1-1000000000000-22-22000000000011-1-10000
χ4744-44-4-21-44-21112222-2-2-22-1-12-2-1-1110000000000002-2-220000000000-11-110000
χ4844-44-4-21-44-21112222-2-2-22-1-12-2-1-111000000000000-222-200000000001-11-10000
χ4944-4-441-200122-2113333-1-12-2-3-300002-2-222-2-2200000000-111-1-111-10000000000
χ5044-4-441-200122-2113333-1-12-2-3-30000-222-2-222-2000000001-1-111-1-110000000000
χ5144-4-441-200122-211-3-3-3-3-1-12-23300002-2-22-222-200000000-111-11-1-110000000000
χ5244-4-441-200122-211-3-3-3-3-1-12-2330000-222-22-2-22000000001-1-11-111-10000000000
χ53888-8-8-4200-4-2-224400004-42-20000000000000000000000000000000000000000
χ5488-8-88-4200-4-2-22-4-4000044-220000000000000000000000000000000000000000
χ558-80002-400-20046-623−2323−2300000023−2323−230000000000000000000000000000000000
χ568-80002-400-20046-6−2323−2323000000−2323−23230000000000000000000000000000000000
χ578-80002-400-2004-6623−23−232300000023−23−23230000000000000000000000000000000000
χ588-80002-400-2004-66−232323−23000000−232323−230000000000000000000000000000000000
χ598-80008800-800-800000000000000000000000000000000000000000000000000
χ608-8000-420046-6-2000043−4300000000−23230000000000000000000000000000000000
χ618-8000-420046-6-20000−43430000000023−230000000000000000000000000000000000
χ628-8000-42004-66-20043−4300000000−2323000000000000000000000000000000000000
χ638-8000-42004-66-200−43430000000023−23000000000000000000000000000000000000

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