Finite Group Databasebeta

← Group #10591179

Character table — Group #10591179

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222222222222244444444444444444444444444441818181818181818242424242424242424242424
order1222223344446666663666666666661212121212121212121212121212121288888888244466121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111-1-1111-1-111111111-1-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-1
χ61111-1-1111-1-111111111-1-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111
χ71111-1-1111-1-111111111-1-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111
χ81111-1-1111-1-111111111-1-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1
χ922222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000
χ102222222-122222-1-12-12-122-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000002200-1-1-1-10000
χ112222222-122222-1-12-12-122-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000-2-20011110000
χ122222222-1-2-2-2-22-1-12-12-122-1-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000−i3i3−i3i30000
χ132222222-1-2-2-2-22-1-12-12-122-1-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000i3−i3i3−i30000
χ14222222-122222-122-12-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000220000-1-1-1-1
χ15222222-122222-122-12-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-200001111
χ16222222-12-2-2-2-2-122-12-1-1-1-122-1-1-1-1-1-1-1-2-2-2-21111111111110000000000000000−i3i3−i3i3
χ17222222-12-2-2-2-2-122-12-1-1-1-122-1-1-1-1-1-1-1-2-2-2-21111111111110000000000000000i3−i3i3−i3
χ182222-2-222-222-22222222-2-2-2-222-2-2-2-22-2-222-2-222-2-2-2-2222200000000000000000000
χ192222-2-22-12-2-222-1-12-12-1-2-211-1-11111-1-1-11122-2-2-1-1-1-11111000000002-200-1-1110000
χ202222-2-22-12-2-222-1-12-12-1-2-211-1-11111-1-1-11122-2-2-1-1-1-1111100000000-220011-1-10000
χ212222-2-22-1-222-22-1-12-12-1-2-211-1-11111-111-1-1-2-2221111-1-1-1-1000000000000−i3i3i3−i30000
χ222222-2-22-1-222-22-1-12-12-1-2-211-1-11111-111-1-1-2-2221111-1-1-1-1000000000000i3−i3−i3i30000
χ232222-2-2-122-2-22-122-12-1-111-2-2-1-11111-122-2-2-1-111-1-1-1-1111100000000002-20000-1-111
χ242222-2-2-122-2-22-122-12-1-111-2-2-1-11111-122-2-2-1-111-1-1-1-111110000000000-22000011-1-1
χ252222-2-2-12-222-2-122-12-1-111-2-2-1-11111-1-2-22211-1-11111-1-1-1-10000000000000000−i3i3i3−i3
χ262222-2-2-12-222-2-122-12-1-111-2-2-1-11111-1-2-22211-1-11111-1-1-1-10000000000000000i3−i3−i3i3
χ2722-2-2002202i−2i0-22-22-2-2200002-20000-2002i−2i002i−2i00002i2i−2i−2i22−2−2−i2−i2i2i2000000000000
χ2822-2-2002202i−2i0-22-22-2-2200002-20000-2002i−2i002i−2i00002i2i−2i−2i−2−222i2i2−i2−i2000000000000
χ2922-2-200220−2i2i0-22-22-2-2200002-20000-200−2i2i00−2i2i0000−2i−2i2i2i22−2−2i2i2−i2−i2000000000000
χ3022-2-200220−2i2i0-22-22-2-2200002-20000-200−2i2i00−2i2i0000−2i−2i2i2i−2−222−i2−i2i2i2000000000000
χ312-22-22-22200002-2-2-22-222-22-2-2222-2-2-20000000000000000−i2i2−i2i2−i2i2−i2i2000000000000
χ322-22-22-22200002-2-2-22-222-22-2-2222-2-2-20000000000000000i2−i2i2−i2i2−i2i2−i2000000000000
χ332-22-2-222200002-2-2-22-22-22-22-22-2-222-20000000000000000−i2i2−i2i2i2−i2i2−i2000000000000
χ342-22-2-222200002-2-2-22-22-22-22-22-2-222-20000000000000000i2−i2i2−i2−i2i2−i2i2000000000000
χ352-2-220022200-2-2-22-2-2220000-2-2000022-2002-20022-2-200002i−2i−2i2i0000000000000000
χ362-2-220022200-2-2-22-2-2220000-2-2000022-2002-20022-2-20000−2i2i2i−2i0000000000000000
χ372-2-220022-2002-2-22-2-2220000-2-200002-2200-2200-2-222000000002-2-22000000000000
χ382-2-220022-2002-2-22-2-2220000-2-200002-2200-2200-2-22200000000-222-2000000000000
χ39444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-21111111100000000000000000000
χ40444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111111122222222-1-1-1-1-1-1-1-100000000000000000000
χ414444-4-4-2-24-4-44-2-2-2-2-2-21222211-1-1-1-11-2-222-2-2221111-1-1-1-100000000000000000000
χ424444-4-4-2-2-444-4-2-2-2-2-2-21222211-1-1-1-1122-2-222-2-2-1-1-1-1111100000000000000000000
χ4344-4-4004-204i−4i0-4-2242-4-20000-220000200−2i2i004i−4i0000−2i−2i2i2i00000000000000000000
χ4444-4-4004-20−4i4i0-4-2242-4-20000-2200002002i−2i00−4i4i00002i2i−2i−2i00000000000000000000
χ4544-4-400-2404i−4i024-4-2-42-20000-2200002004i−4i00−2i2i0000−2i−2i2i2i00000000000000000000
χ4644-4-400-240−4i4i024-4-2-42-20000-220000200−4i4i002i−2i00002i2i−2i−2i00000000000000000000
χ4744-4-400-2-204i−4i02-22-222100001-13-33-3-100−2i2i00−2i2i3i−3i3i−3iii−i−i00000000000000000000
χ4844-4-400-2-204i−4i02-22-222100001-1-33-33-100−2i2i00−2i2i−3i3i−3i3iii−i−i00000000000000000000
χ4944-4-400-2-20−4i4i02-22-222100001-13-33-3-1002i−2i002i−2i−3i3i−3i3i−i−iii00000000000000000000
χ5044-4-400-2-20−4i4i02-22-222100001-1-33-33-1002i−2i002i−2i3i−3i3i−3i−i−iii00000000000000000000
χ514-44-44-44-20000422-4-2-4-24-4-222-2-2-2222000000000000000000000000000000000000
χ524-44-44-4-240000-2-4-4242-2-224-42-2-2-2222000000000000000000000000000000000000
χ534-44-44-4-2-20000-2222-221-22-22-1111-1-1-1000000003i−3i−3i3i3i−3i3i−3i00000000000000000000
χ544-44-44-4-2-20000-2222-221-22-22-1111-1-1-100000000−3i3i3i−3i−3i3i−3i3i00000000000000000000
χ554-44-4-444-20000422-4-2-4-2-442-22-222-2-22000000000000000000000000000000000000
χ564-44-4-44-240000-2-4-4242-22-2-442-222-2-22000000000000000000000000000000000000
χ574-44-4-44-2-20000-2222-2212-22-2-11-1-111-1000000003i−3i−3i3i−3i3i−3i3i00000000000000000000
χ584-44-4-44-2-20000-2222-2212-22-2-11-1-111-100000000−3i3i3i−3i3i−3i3i−3i00000000000000000000
χ594-4-44004-2400-4-42-2-424-20000220000-2-22004-400-2-222000000000000000000000000
χ604-4-44004-2-4004-42-2-424-20000220000-22-200-440022-2-2000000000000000000000000
χ614-4-4400-24400-42-442-4-2-20000220000-24-400-2200-2-222000000000000000000000000
χ624-4-4400-24-40042-442-4-2-20000220000-2-44002-20022-2-2000000000000000000000000
χ634-4-4400-2-2400-422-222-210000-1-13-3-331-2200-220011-1-13-3-3300000000000000000000
χ644-4-4400-2-2400-422-222-210000-1-1-333-31-2200-220011-1-1-333-300000000000000000000
χ654-4-4400-2-2-400422-222-210000-1-13-3-3312-2002-200-1-111-333-300000000000000000000
χ664-4-4400-2-2-400422-222-210000-1-1-333-312-2002-200-1-1113-3-3300000000000000000000

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