Finite Group Databasebeta

← Group #11778232

Character table — Group #11778232

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111224444444444444444448888888824242424242424242424242424242424242424242424242436367272727272
order122222223366666666666666666666662244444466661212121212121212121212124448888
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
χ5111111-1-1111111111-1-1-1-1111-1-1-1-111-1-11-11-111-1-111-1-111-1-11111-1-1-1-111-111-1-1
χ6111111-1-1111111111-1-1-1-1111-1-1-1-111-1-11-11-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-111
χ7111111-1-1111111111-1-1-1-1111-1-1-1-111-1-1-11-1111-1-1-1-111-1-1111111-1-1-1-111-1-1-111
χ8111111-1-1111111111-1-1-1-1111-1-1-1-111-1-1-11-11-1-111-1-111-1-111-1-1-1-1111111-111-1-1
χ922222222222222222222222222222222000000000000000000000000-2-2-20000
χ10222222-2-2222222222-2-2-2-2222-2-2-2-222-2-2000000000000000000000000-2-220000
χ112222-2-2002222-2-2-22200002-220000-2-200020-20000002200-2-2000000002-200000
χ122222-2-2002222-2-2-22200002-220000-2-2000-202000000-2-20022000000002-200000
χ132222-2-2002222-2-2-22200002-220000-2-20020-2000002200-2-20000000000-2200000
χ142222-2-2002222-2-2-22200002-220000-2-200-20200000-2-200220000000000-2200000
χ1522-2-22-22-2222-222-2-2-222-2-2-2-2222-2-22-22-2000000000000000000000000000−i2i2−i2i2
χ1622-2-22-22-2222-222-2-2-222-2-2-2-2222-2-22-22-2000000000000000000000000000i2−i2i2−i2
χ1722-2-22-2-22222-222-2-2-2-2-222-2-22-2-2222-2-22000000000000000000000000000−i2i2i2−i2
χ1822-2-22-2-22222-222-2-2-2-2-222-2-22-2-2222-2-22000000000000000000000000000i2−i2−i2i2
χ19444444441-211111-2-2-2-2-2-211-21111-2-2-2-20000222200000000-1-1-1-1-1-1-1-10000000
χ20444444441-211111-2-2-2-2-2-211-21111-2-2-2-20000-2-2-2-200000000111111110000000
χ2144444444-21-2-2-2-2-2111111-2-21-2-2-2-2111122220000-1-1-1-1-1-1-1-1000000000000000
χ2244444444-21-2-2-2-2-2111111-2-21-2-2-2-21111-2-2-2-2000011111111000000000000000
χ23444444-4-41-211111-2-2222211-2-1-1-1-1-2-222000022-2-200000000-1-1-1-111110000000
χ24444444-4-41-211111-2-2222211-2-1-1-1-1-2-2220000-2-222000000001111-1-1-1-10000000
χ25444444-4-4-21-2-2-2-2-211-1-1-1-1-2-21222211-1-12-22-20000-1-111-1-111000000000000000
χ26444444-4-4-21-2-2-2-2-211-1-1-1-1-2-21222211-1-1-22-22000011-1-111-1-1000000000000000
χ274444-4-400-21-2-2222113333-2210000-1-1-3-32-2-220000-1-11111-1-1000000000000000
χ284444-4-400-21-2-2222113333-2210000-1-1-3-3-222-2000011-1-1-1-111000000000000000
χ294444-4-400-21-2-222211-3-3-3-3-2210000-1-13322-2-20000-1-1-1-11111000000000000000
χ304444-4-400-21-2-222211-3-3-3-3-2210000-1-133-2-22200001111-1-1-1-1000000000000000
χ3144-4-44-44-41-21-111-122-2-222-1-1-211-1-1-22-22000000000000000033−3−333−3−30000000
χ3244-4-44-44-41-21-111-122-2-222-1-1-211-1-1-22-220000000000000000−3−333−3−3330000000
χ3344-4-44-44-4-21-22-2-22-1-111-1-1221-2-2221-11-100000000−i3i3−i3i3−i3i3−i3i3000000000000000
χ3444-4-44-44-4-21-22-2-22-1-111-1-1221-2-2221-11-100000000i3−i3i3−i3i3−i3i3−i3000000000000000
χ3544-4-44-4-441-21-111-12222-2-2-1-1-2-1-111-222-2000000000000000033−3−3−3−3330000000
χ3644-4-44-4-441-21-111-12222-2-2-1-1-2-1-111-222-20000000000000000−3−33333−3−30000000
χ3744-4-44-4-44-21-22-2-22-1-1-1-11122122-2-21-1-1100000000−i3i3i3−i3−i3i3i3−i3000000000000000
χ3844-4-44-4-44-21-22-2-22-1-1-1-11122122-2-21-1-1100000000i3−i3−i3i3i3−i3−i3i3000000000000000
χ3944-4-4-4400444-4-4-44-4-40000-4440000-44000000000000000000000000000000000
χ4044-4-4-4400-21-2222-2-1-133-3-32-210000-11-3300000000−i3i3i3−i3i3−i3−i3i3000000000000000
χ4144-4-4-4400-21-2222-2-1-133-3-32-210000-11-3300000000i3−i3−i3i3−i3i3i3−i3000000000000000
χ4244-4-4-4400-21-2222-2-1-1-3-3332-210000-113-300000000−i3i3−i3i3i3−i3i3−i3000000000000000
χ4344-4-4-4400-21-2222-2-1-1-3-3332-210000-113-300000000i3−i3i3−i3−i3i3−i3i3000000000000000
χ444-44-400001-2-113-3-32-2−2i32i3−2i32i3-132−i3i3−i3i300000000002i−2i000000003−33−3i−ii−i0000000
χ454-44-400001-2-113-3-32-2−2i32i3−2i32i3-132−i3i3−i3i30000000000−2i2i00000000−33−33−ii−ii0000000
χ464-44-400001-2-113-3-32-22i3−2i32i3−2i3-132i3−i3i3−i300000000002i−2i00000000−33−33i−ii−i0000000
χ474-44-400001-2-113-3-32-22i3−2i32i3−2i3-132i3−i3i3−i30000000000−2i2i000000003−33−3−ii−ii0000000
χ484-44-4000044-44000-440000-40-4000000000000002i−2i000000000000−2i2i−2i2i0000000
χ494-44-4000044-44000-440000-40-400000000000000−2i2i0000000000002i−2i2i−2i0000000
χ504-4-4400001-2-1-13-33-22−2i32i32i3−2i31-32−i3i3i3−i3000000002-200000000001-1-11−i3i3i3−i30000000
χ514-4-4400001-2-1-13-33-22−2i32i32i3−2i31-32−i3i3i3−i300000000-220000000000-111-1i3−i3−i3i30000000
χ524-4-4400001-2-1-13-33-222i3−2i3−2i32i31-32i3−i3−i3i3000000002-200000000001-1-11i3−i3−i3i30000000
χ534-4-4400001-2-1-13-33-222i3−2i3−2i32i31-32i3−i3−i3i300000000-220000000000-111-1−i3i3i3−i30000000
χ544-4-44000044-4-40004-4000040-40000000000002-20000000000-222-200000000000
χ554-4-44000044-4-40004-4000040-4000000000000-2200000000002-2-2200000000000
χ568888-8-8002-422-2-2-2-4-400002-2-4000044000000000000000000000000000000000
χ5788-8-8-88002-42-2-2-22440000-22-400004-4000000000000000000000000000000000
χ588-88-800002-4-22-6664-40000-2-64000000000000000000000000000000000000000
χ598-88-80000-424-4000-22−2i32i3−2i32i340-22i3−2i32i3−2i300000000000000000000000000000000000
χ608-88-80000-424-4000-222i3−2i32i3−2i340-2−2i32i3−2i32i300000000000000000000000000000000000
χ618-8-8800002-4-2-2-66-6-440000264000000000000000000000000000000000000000
χ628-8-880000-42440002-2−2i32i32i3−2i3-40-22i3−2i3−2i32i300000000000000000000000000000000000
χ638-8-880000-42440002-22i3−2i3−2i32i3-40-2−2i32i32i3−2i300000000000000000000000000000000000

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