Finite Group Databasebeta

← Group #10593971

Character table — Group #10593971

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222222222222224444444444444444444444444444999912121212121212121818181818182424242424242424
order1222334444446666663666121212121212121212121212121212121212121212121212444422224444224444666612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111
χ511111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-11-11-11-1-1-111-1-11-11-11-11-1
χ611111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11-11-11-1-111-1-1-11-11-11-11
χ711111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-1-1111-1-111-1-11
χ811111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-111-111-1-111-1
χ9111111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11-111-1-1-1-1-1111-1-11-111-1
χ10111111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-11-1-11-1-1-1-111-111-11-1-11
χ11111111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-11-111111-1-11-11-1-11-11
χ12111111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111-11-11111-1-1-11-111-11-1
χ13111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-111
χ14111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-1-1-11111-1-1
χ15111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ16111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111
χ1722222-122222222-1-12-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000022002200000000-1-100-1-1
χ1822222-122222222-1-12-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-200-2-200000000110011
χ1922222-122-2-2-2-222-1-12-1-1-1-1-122-1-1-2-211-2-211-1-1-1-1111111110000002-2002-200000000-1100-11
χ2022222-122-2-2-2-222-1-12-1-1-1-1-122-1-1-2-211-2-211-1-1-1-111111111000000-2200-22000000001-1001-1
χ2122222-1-2-222-2-222-1-12-1-1-1-1-1-2-21122-1-1-2-2111111-1-1-1-111110000002-200-2200000000-11001-1
χ2222222-1-2-222-2-222-1-12-1-1-1-1-1-2-21122-1-1-2-2111111-1-1-1-11111000000-22002-2000000001-100-11
χ2322222-1-2-2-2-22222-1-12-1-1-1-1-1-2-211-2-21122-1-111111111-1-1-1-10000002200-2-200000000-1-10011
χ2422222-1-2-2-2-22222-1-12-1-1-1-1-1-2-211-2-21122-1-111111111-1-1-1-1000000-2-20022000000001100-1-1
χ252222-12222222-1-122-12-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1000022002200000000-1-100-1-100
χ262222-12222222-1-122-12-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-200-2-20000000011001100
χ272222-1222-2-2-2-2-1-122-12-1-1-1-1-1-12211-2-211-2-2-1-1-1-11111111100002-2002-200000000-1100-1100
χ282222-1222-2-2-2-2-1-122-12-1-1-1-1-1-12211-2-211-2-2-1-1-1-1111111110000-2200-22000000001-1001-100
χ292222-12-2-222-2-2-1-122-12-1-1-1-111-2-2-1-12211-2-21111-1-1-1-1111100002-200-2200000000-11001-100
χ302222-12-2-222-2-2-1-122-12-1-1-1-111-2-2-1-12211-2-21111-1-1-1-111110000-22002-2000000001-100-1100
χ312222-12-2-2-2-222-1-122-12-1-1-1-111-2-211-2-2-1-12211111111-1-1-1-100002200-2-200000000-1-1001100
χ322222-12-2-2-2-222-1-122-12-1-1-1-111-2-211-2-2-1-12211111111-1-1-1-10000-2-20022000000001100-1-100
χ3322-2-222002i−2i002-22-2-2-222-2-200002i−2i2i−2i000000002i2i−2i−2i00002i2i−2i−2i0000000000002-200000000
χ3422-2-222002i−2i002-22-2-2-222-2-200002i−2i2i−2i000000002i2i−2i−2i0000−2i−2i2i2i000000000000-2200000000
χ3522-2-22200−2i2i002-22-2-2-222-2-20000−2i2i−2i2i00000000−2i−2i2i2i00002i2i−2i−2i000000000000-2200000000
χ3622-2-22200−2i2i002-22-2-2-222-2-20000−2i2i−2i2i00000000−2i−2i2i2i0000−2i−2i2i2i0000000000002-200000000
χ372-22-2222i−2i0000-22-22-2-22-22-22i−2i2i−2i000000002i2i−2i−2i000000002i−2i2i−2i00000000002-20000000000
χ382-22-2222i−2i0000-22-22-2-22-22-22i−2i2i−2i000000002i2i−2i−2i00000000−2i2i−2i2i0000000000-220000000000
χ392-22-222−2i2i0000-22-22-2-22-22-2−2i2i−2i2i00000000−2i−2i2i2i000000002i−2i2i−2i0000000000-220000000000
χ402-22-222−2i2i0000-22-22-2-22-22-2−2i2i−2i2i00000000−2i−2i2i2i00000000−2i2i−2i2i00000000002-20000000000
χ412-2-222200002-2-2-2-2-2222-2-22000000002-22-20000000022-2-22-2-22000000002-2000000000000
χ422-2-222200002-2-2-2-2-2222-2-22000000002-22-20000000022-2-2-222-200000000-22000000000000
χ432-2-22220000-22-2-2-2-2222-2-2200000000-22-2200000000-2-2222-2-2200000000-22000000000000
χ442-2-22220000-22-2-2-2-2222-2-2200000000-22-2200000000-2-222-222-2000000002-2000000000000
χ454444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-211111111111100000000000000000000000000
χ464444-2-244-4-4-4-4-2-2-2-2-2-21111-2-2-2-2222222221111-1-1-1-1-1-1-1-100000000000000000000000000
χ474444-2-2-4-444-4-4-2-2-2-2-2-211112222-2-2-2-22222-1-1-1-11111-1-1-1-100000000000000000000000000
χ484444-2-2-4-4-4-444-2-2-2-2-2-2111122222222-2-2-2-2-1-1-1-1-1-1-1-1111100000000000000000000000000
χ4944-4-44-2004i−4i004-4-22-42-2-22200004i−4i−2i2i00000000−2i−2i2i2i000000000000000000000000000000
χ5044-4-44-200−4i4i004-4-22-42-2-2220000−4i4i2i−2i000000002i2i−2i−2i000000000000000000000000000000
χ5144-4-4-24004i−4i00-224-42-4-2-2220000−2i2i4i−4i00000000−2i−2i2i2i000000000000000000000000000000
χ5244-4-4-2400−4i4i00-224-42-4-2-22200002i−2i−4i4i000000002i2i−2i−2i000000000000000000000000000000
χ5344-4-4-2-2004i−4i00-22-222211-1-10000−2i2i−2i2i00003-33-3ii−i−i3i−3i3i−3i00000000000000000000000000
χ5444-4-4-2-2004i−4i00-22-222211-1-10000−2i2i−2i2i0000-33-33ii−i−i−3i3i−3i3i00000000000000000000000000
χ5544-4-4-2-200−4i4i00-22-222211-1-100002i−2i2i−2i00003-33-3−i−iii−3i3i−3i3i00000000000000000000000000
χ5644-4-4-2-200−4i4i00-22-222211-1-100002i−2i2i−2i0000-33-33−i−iii3i−3i3i−3i00000000000000000000000000
χ574-44-44-24i−4i0000-442-2-42-22-224i−4i−2i2i00000000−2i−2i2i2i0000000000000000000000000000000000
χ584-44-44-2−4i4i0000-442-2-42-22-22−4i4i2i−2i000000002i2i−2i−2i0000000000000000000000000000000000
χ594-44-4-244i−4i00002-2-442-4-22-22−2i2i4i−4i00000000−2i−2i2i2i0000000000000000000000000000000000
χ604-44-4-24−4i4i00002-2-442-4-22-222i−2i−4i4i000000002i2i−2i−2i0000000000000000000000000000000000
χ614-44-4-2-24i−4i00002-22-2221-11-1−2i2i−2i2i00000000ii−i−i3-33-33i−3i−3i3i00000000000000000000000000
χ624-44-4-2-24i−4i00002-22-2221-11-1−2i2i−2i2i00000000ii−i−i-33-33−3i3i3i−3i00000000000000000000000000
χ634-44-4-2-2−4i4i00002-22-2221-11-12i−2i2i−2i00000000−i−iii3-33-3−3i3i3i−3i00000000000000000000000000
χ644-44-4-2-2−4i4i00002-22-2221-11-12i−2i2i−2i00000000−i−iii-33-333i−3i−3i3i00000000000000000000000000
χ654-4-444-200004-4-4-4224-2-222-2000000004-4-2200000000-2-22200000000000000000000000000
χ664-4-444-20000-44-4-4224-2-222-200000000-442-20000000022-2-200000000000000000000000000
χ674-4-44-2400004-422-4-4-24-222-200000000-224-400000000-2-22200000000000000000000000000
χ684-4-44-240000-4422-4-4-24-222-2000000002-2-440000000022-2-200000000000000000000000000
χ694-4-44-2-200004-42222-2-21-1-1100000000-22-223i−3i−3i3i−3i3i3i−3i11-1-100000000000000000000000000
χ704-4-44-2-200004-42222-2-21-1-1100000000-22-22−3i3i3i−3i3i−3i−3i3i11-1-100000000000000000000000000
χ714-4-44-2-20000-442222-2-21-1-11000000002-22-23i−3i−3i3i3i−3i−3i3i-1-11100000000000000000000000000
χ724-4-44-2-20000-442222-2-21-1-11000000002-22-2−3i3i3i−3i−3i3i3i−3i-1-11100000000000000000000000000

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