Finite Group Databasebeta

← Group #10591188

Character table — Group #10591188

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222222222222244444444444444444444444444441818181818181818242424242424242424242424
order122222334444666666366666666666121212121212121212121212121212128888888844441212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111
χ51111-1-1111-1-111111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1
χ61111-1-1111-1-111111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111
χ71111-1-1111-1-111111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111
χ81111-1-1111-1-111111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1
χ922222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000
χ102222222-122222-12-12-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100000000020200-1-100-1-1
χ112222222-122222-12-12-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1000000000-20-200110011
χ122222222-1-2-2-2-22-12-12-1-122-1-1-1-1-1-1-1-1-1-2-211-2-2111111111100000000000000−i3i300−i3i3
χ132222222-1-2-2-2-22-12-12-1-122-1-1-1-1-1-1-1-1-1-2-211-2-2111111111100000000000000i3−i300i3−i3
χ14222222-122222-12-12-12-1-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1000000002020-1-100-1-100
χ15222222-122222-12-12-12-1-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-100000000-20-2011001100
χ16222222-12-2-2-2-2-12-12-12-1-1-122-1-1-1-1-1-1-111-2-211-2-211111111000000000000−i3i300−i3i300
χ17222222-12-2-2-2-2-12-12-12-1-1-122-1-1-1-1-1-1-111-2-211-2-211111111000000000000i3−i300i3−i300
χ182222-2-222-222-22222222-2-2-2-222-2-2-2-22-2-2-2-22222-2-2-2-2222200000000000000000000
χ192222-2-22-12-2-222-12-12-1-1-2-211-1-11111-122-1-1-2-211-1-1-1-1111100000000020-200-1-10011
χ202222-2-22-12-2-222-12-12-1-1-2-211-1-11111-122-1-1-2-211-1-1-1-11111000000000-202001100-1-1
χ212222-2-22-1-222-22-12-12-1-1-2-211-1-11111-1-2-21122-1-11111-1-1-1-100000000000000−i3i300i3−i3
χ222222-2-22-1-222-22-12-12-1-1-2-211-1-11111-1-2-21122-1-11111-1-1-1-100000000000000i3−i300−i3i3
χ232222-2-2-122-2-22-12-12-12-111-2-2-1-11111-1-1-12211-2-2-1-1-1-111110000000020-20-1-1001100
χ242222-2-2-122-2-22-12-12-12-111-2-2-1-11111-1-1-12211-2-2-1-1-1-1111100000000-20201100-1-100
χ252222-2-2-12-222-2-12-12-12-111-2-2-1-11111-111-2-2-1-1221111-1-1-1-1000000000000−i3i300i3−i300
χ262222-2-2-12-222-2-12-12-12-111-2-2-1-11111-111-2-2-1-1221111-1-1-1-1000000000000i3−i300−i3i300
χ2722-2-22-222000022-2-2-2-222-22-22-222-2-2-2000000000000000022−2−222−2−2000000000000
χ2822-2-22-222000022-2-2-2-222-22-22-222-2-2-20000000000000000−2−222−2−222000000000000
χ2922-2-2-2222000022-2-2-2-22-22-222-2-2-222-2000000000000000022−2−2−2−222000000000000
χ3022-2-2-2222000022-2-2-2-22-22-222-2-2-222-20000000000000000−2−22222−2−2000000000000
χ312-22-2002202i−2i0-2-222-2-220000-220000-200002i−2i2i−2i00002i2i−2i−2i2−22−2−i2i2−i2i2000000000000
χ322-22-2002202i−2i0-2-222-2-220000-220000-200002i−2i2i−2i00002i2i−2i−2i−22−22i2−i2i2−i2000000000000
χ332-22-200220−2i2i0-2-222-2-220000-220000-20000−2i2i−2i2i0000−2i−2i2i2i2−22−2i2−i2i2−i2000000000000
χ342-22-200220−2i2i0-2-222-2-220000-220000-20000−2i2i−2i2i0000−2i−2i2i2i−22−22−i2i2−i2i2000000000000
χ352-2-220022200-2-2-2-2-22220000-2-2000022-22-2000022-2-2000000002i−2i−2i2i000000000000
χ362-2-220022200-2-2-2-2-22220000-2-2000022-22-2000022-2-200000000−2i2i2i−2i000000000000
χ372-2-220022-2002-2-2-2-22220000-2-200002-22-220000-2-22200002-2-220000000000000000
χ382-2-220022-2002-2-2-2-22220000-2-200002-22-220000-2-2220000-222-20000000000000000
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
χ414444-4-4-2-24-4-44-2-2-2-2-2-21222211-1-1-1-11-2-2-2-222221111-1-1-1-100000000000000000000
χ424444-4-4-2-2-444-4-2-2-2-2-2-21222211-1-1-1-112222-2-2-2-2-1-1-1-1111100000000000000000000
χ4344-4-44-44-200004-2-42-42-24-4-22-22-2-2222000000000000000000000000000000000000
χ4444-4-44-4-240000-242-42-4-2-224-4-22-2-2222000000000000000000000000000000000000
χ4544-4-44-4-2-20000-2-222221-22-221-111-1-1-1000000003i−3i3i−3i3i−3i3i−3i00000000000000000000
χ4644-4-44-4-2-20000-2-222221-22-221-111-1-1-100000000−3i3i−3i3i−3i3i−3i3i00000000000000000000
χ4744-4-4-444-200004-2-42-42-2-442-2-2222-2-22000000000000000000000000000000000000
χ4844-4-4-44-240000-242-42-4-22-2-44-2222-2-22000000000000000000000000000000000000
χ4944-4-4-44-2-20000-2-2222212-22-21-1-1-111-1000000003i−3i3i−3i−3i3i−3i3i00000000000000000000
χ5044-4-4-44-2-20000-2-2222212-22-21-1-1-111-100000000−3i3i−3i3i3i−3i3i−3i00000000000000000000
χ514-44-4004-204i−4i0-424-2-42-200002-20000200004i−4i−2i2i0000−2i−2i2i2i00000000000000000000
χ524-44-4004-20−4i4i0-424-2-42-200002-2000020000−4i4i2i−2i00002i2i−2i−2i00000000000000000000
χ534-44-400-2404i−4i02-4-242-4-200002-2000020000−2i2i4i−4i0000−2i−2i2i2i00000000000000000000
χ544-44-400-240−4i4i02-4-242-4-200002-20000200002i−2i−4i4i00002i2i−2i−2i00000000000000000000
χ554-44-400-2-204i−4i022-2-22210000-113-33-3-10000−2i2i−2i2i3i−3i−3i3iii−i−i00000000000000000000
χ564-44-400-2-204i−4i022-2-22210000-11-33-33-10000−2i2i−2i2i−3i3i3i−3iii−i−i00000000000000000000
χ574-44-400-2-20−4i4i022-2-22210000-113-33-3-100002i−2i2i−2i−3i3i3i−3i−i−iii00000000000000000000
χ584-44-400-2-20−4i4i022-2-22210000-11-33-33-100002i−2i2i−2i3i−3i−3i3i−i−iii00000000000000000000
χ594-4-44004-2400-4-42-424-2-20000220000-24-4-220000-2-222000000000000000000000000
χ604-4-44004-2-4004-42-424-2-20000220000-2-442-2000022-2-2000000000000000000000000
χ614-4-4400-24400-42-42-4-24-20000220000-2-224-40000-2-222000000000000000000000000
χ624-4-4400-24-40042-42-4-24-20000220000-22-2-44000022-2-2000000000000000000000000
χ634-4-4400-2-2400-42222-2-210000-1-13-3-331-22-22000011-1-13-3-3300000000000000000000
χ644-4-4400-2-2400-42222-2-210000-1-1-333-31-22-22000011-1-1-333-300000000000000000000
χ654-4-4400-2-2-40042222-2-210000-1-13-3-3312-22-20000-1-111-333-300000000000000000000
χ664-4-4400-2-2-40042222-2-210000-1-1-333-312-22-20000-1-1113-3-3300000000000000000000

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