Finite Group Databasebeta

← Group #11778038

Character table — Group #11778038

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111224444444444444444448888888824242424242424242424242424242424242424242424242436367272727272
order122222223366666666666666666666662244444466661212121212121212121212124448888
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1
χ311111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1
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
χ5111111-1-1111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-111-1-1
χ6111111-1-1111-1-1-1-111111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-111
χ7111111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1-111
χ8111111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-111-1-1
χ922222222222222222222222222222222000000000000000000000000-2-2-20000
χ10222222-2-2222-2-2-2-222222222222-2-2-2-2-2-2000000000000000000000000-2-220000
χ112222-2-2002220000222-2-2-222-2-2-200000000002-20000000000000022-2-22-200000
χ122222-2-2002220000222-2-2-222-2-2-20000000000-2200000000000000-2-2222-200000
χ132222-2-2002220000222-2-2-222-2-2-2000000002-200000000000022-2-20000-2200000
χ142222-2-2002220000222-2-2-222-2-2-200000000-22000000000000-2-2220000-2200000
χ1522-2-2-222-222222-2-22-2-22-2-2-2-222-22-222-2-2000000000000000000000000000−i2i2−i2i2
χ1622-2-2-222-222222-2-22-2-22-2-2-2-222-22-222-2-2000000000000000000000000000i2−i2i2−i2
χ1722-2-2-22-22222-2-2222-2-22-2-2-2-222-2-22-2-222000000000000000000000000000−i2i2i2−i2
χ1822-2-2-22-22222-2-2222-2-22-2-2-2-222-2-22-2-222000000000000000000000000000i2−i2−i2i2
χ19444444441-211111-2-2-2-2-2-211-21111-2-2-2-20022220000000000-1-1-1-1-1-1-1-10000000
χ20444444441-211111-2-2-2-2-2-211-21111-2-2-2-200-2-2-2-20000000000111111110000000
χ2144444444-21-2-2-2-2-2111111-2-21-2-2-2-2111122000022-1-1-1-1-1-1-1-1000000000000000
χ2244444444-21-2-2-2-2-2111111-2-21-2-2-2-21111-2-20000-2-211111111000000000000000
χ23444444-4-41-21-1-1-1-1-2-2-2-2-2-211-211-1-122220022-2-20000000000-1-1-1-111110000000
χ24444444-4-41-21-1-1-1-1-2-2-2-2-2-211-211-1-1222200-2-22200000000001111-1-1-1-10000000
χ25444444-4-4-21-22222111111-2-21-2-222-1-1-1-1220000-2-2-1-1-1-11111000000000000000
χ26444444-4-4-21-22222111111-2-21-2-222-1-1-1-1-2-20000221111-1-1-1-1000000000000000
χ274444-4-4001-213333-2-2-2222112-1-1-3-30000002-22-20000000000-1-111-1-1110000000
χ284444-4-4001-213333-2-2-2222112-1-1-3-3000000-22-22000000000011-1-111-1-10000000
χ294444-4-4001-21-3-3-3-3-2-2-2222112-1-1330000002-2-220000000000-1-11111-1-10000000
χ304444-4-4001-21-3-3-3-3-2-2-2222112-1-133000000-222-2000000000011-1-1-1-1110000000
χ3144-4-44-4001-2133-3-3-2222-2-2-1-12-11-33000000000000000000003−33−33−33−30000000
χ3244-4-44-4001-2133-3-3-2222-2-2-1-12-11-3300000000000000000000−33−33−33−330000000
χ3344-4-44-4001-21-3-333-2222-2-2-1-12-113-3000000000000000000003−33−3−33−330000000
χ3444-4-44-4001-21-3-333-2222-2-2-1-12-113-300000000000000000000−33−333−33−30000000
χ3544-4-44-40044400004-4-4-444-4-4-4-440000000000000000000000000000000000000
χ3644-4-4-444-41-2111-1-1-222-222-1-1-21-11-1-2-22200000000000000003−3−333−3−330000000
χ3744-4-4-444-41-2111-1-1-222-222-1-1-21-11-1-2-2220000000000000000−333−3−333−30000000
χ3844-4-4-444-4-21-2-2-2221-1-11-1-1221-22-2211-1-100000000−i3−i3i3i3−i3−i3i3i3000000000000000
χ3944-4-4-444-4-21-2-2-2221-1-11-1-1221-22-2211-1-100000000i3i3−i3−i3i3i3−i3−i3000000000000000
χ4044-4-4-44-441-21-1-111-222-222-1-1-21-1-1122-2-200000000000000003−3−33−333−30000000
χ4144-4-4-44-441-21-1-111-222-222-1-1-21-1-1122-2-20000000000000000−333−33−3−330000000
χ4244-4-4-44-44-21-222-2-21-1-11-1-1221-222-2-1-11100000000−i3−i3i3i3i3i3−i3−i3000000000000000
χ4344-4-4-44-44-21-222-2-21-1-11-1-1221-222-2-1-11100000000i3i3−i3−i3−i3−i3i3i3000000000000000
χ444-44-4000044-40000-44-40004-40000000000000002-200002-22-2000000000000000
χ454-44-4000044-40000-44-40004-4000000000000000-220000-22-22000000000000000
χ464-44-40000-212−2i32i3−2i32i3-11-133-3-22-30000−i3i3−i3i30000002-2−i3i3−i3i3-11-11000000000000000
χ474-44-40000-212−2i32i3−2i32i3-11-133-3-22-30000−i3i3−i3i3000000-22i3−i3i3−i31-11-1000000000000000
χ484-44-40000-2122i3−2i32i3−2i3-11-133-3-22-30000i3−i3i3−i30000002-2i3−i3i3−i3-11-11000000000000000
χ494-44-40000-2122i3−2i32i3−2i3-11-133-3-22-30000i3−i3i3−i3000000-22−i3i3−i3i31-11-1000000000000000
χ504-4-44000044-40000-4-44000-440000000002-20000002-2-220000000000000000000
χ514-4-44000044-40000-4-44000-44000000000-22000000-222-20000000000000000000
χ524-4-440000-212−2i32i32i3−2i3-1-113-332-2-30000−i3i3i3−i32-2000000-111-1−i3i3i3−i3000000000000000
χ534-4-440000-212−2i32i32i3−2i3-1-113-332-2-30000−i3i3i3−i3-220000001-1-11i3−i3−i3i3000000000000000
χ544-4-440000-2122i3−2i3−2i32i3-1-113-332-2-30000i3−i3−i3i32-2000000-111-1i3−i3−i3i3000000000000000
χ554-4-440000-2122i3−2i3−2i32i3-1-113-332-2-30000i3−i3−i3i3-220000001-1-11−i3i3i3−i3000000000000000
χ568888-8-800-42-40000222-2-2-2-4-4-2440000000000000000000000000000000000000
χ5788-8-88-800-42-400002-2-2-22244-24-40000000000000000000000000000000000000
χ588-88-800002-4-2−2i32i3−2i32i34-440002-2000002i3−2i32i3−2i30000000000000000000000000000000
χ598-88-800002-4-22i3−2i32i3−2i34-440002-200000−2i32i3−2i32i30000000000000000000000000000000
χ608-88-80000-4240000-22-2-6-66-446000000000000000000000000000000000000000
χ618-8-8800002-4-2−2i32i32i3−2i344-4000-22000002i3−2i3−2i32i30000000000000000000000000000000
χ628-8-8800002-4-22i3−2i3−2i32i344-4000-2200000−2i32i32i3−2i30000000000000000000000000000000
χ638-8-880000-4240000-2-22-66-64-46000000000000000000000000000000000000000

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