Finite Group Databasebeta

← Group #10594928

Character table — Group #10594928

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size111122222222222222224444444444444444444444444446666121212121212121212121212121218181818242424243636
order12222233446666666666346666666661212121212121212121212121212121244442244441212121212121212224466121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111-1-111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-11111-1-1-1-111111-11-1-1-1
χ611111111-1-111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111111-1-1-1-1-1-1-1-1-11-1111
χ711111111-1-111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-11111-1-1-1-11-11-111
χ811111111-1-111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11-1-1-1-111111111-11-11-1-1
χ91111-1-111111-1-1-1-1111111-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-11-1
χ101111-1-111111-1-1-1-1111111-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111-11
χ111111-1-111111-1-1-1-1111111-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-11
χ121111-1-111111-1-1-1-1111111-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1111-1
χ131111-1-111-1-11-1-1-1-11111111-1-111-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-11-1-11-1111-1-1-1-111-1-1111-1-11-11
χ141111-1-111-1-11-1-1-1-11111111-1-111-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1-11-111-111-1-1-1-11111-1-1-111-11-1
χ151111-1-111-1-11-1-1-1-11111111-1-111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1111-11-1-11-1-11111-1-111-1-11-1-111-1
χ161111-1-111-1-11-1-1-1-11111111-1-111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-111-111-11-1-1-11111-1-1-1-111-111-1-11
χ172222222-12222222-12-1-12-12-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000220022000000000000-1-1-1-100
χ182222222-12222222-12-1-12-12-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000-2-200-2-2000000000000111100
χ192222222-1-2-222222-12-1-12-1-2-1-1-1-1-1-1-1-1-1-2-211-2-2111111111100002-2002-2000000000000-11-1100
χ202222222-1-2-222222-12-1-12-1-2-1-1-1-1-1-1-1-1-1-2-211-2-211111111110000-2200-220000000000001-11-100
χ21222222-1222-1-1-1-1-12-122-1-1222-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222002200-1-1-1-1-1-1-1-10000000000
χ22222222-1222-1-1-1-1-12-122-1-1222-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-2-2-200-2-200111111110000000000
χ23222222-12-2-2-1-1-1-1-12-122-1-1-222-1-1-1-1-1-1-111-2-211-2-21111111122-2-2002-200-1-1-1-111110000000000
χ24222222-12-2-2-1-1-1-1-12-122-1-1-222-1-1-1-1-1-1-111-2-211-2-211111111-2-22200-22001111-1-1-1-10000000000
χ252222-2-22-1222-2-2-2-2-12-1-12-1-211-1-11111-122-1-1-2-211-1-1-1-1111100002200-2-2000000000000-1-11100
χ262222-2-22-1222-2-2-2-2-12-1-12-1-211-1-11111-122-1-1-2-211-1-1-1-111110000-2-2002200000000000011-1-100
χ272222-2-22-1-2-22-2-2-2-2-12-1-12-1211-1-11111-1-2-21122-1-11111-1-1-1-100002-200-22000000000000-111-100
χ282222-2-22-1-2-22-2-2-2-2-12-1-12-1211-1-11111-1-2-21122-1-11111-1-1-1-10000-22002-20000000000001-1-1100
χ292222-2-2-1222-111112-122-1-1-2-2-2-1-11111-1-1-12211-2-2-1-1-1-11111222200-2-200-1-111-1-1110000000000
χ302222-2-2-1222-111112-122-1-1-2-2-2-1-11111-1-1-12211-2-2-1-1-1-11111-2-2-2-200220011-1-111-1-10000000000
χ312222-2-2-12-2-2-111112-122-1-12-2-2-1-11111-111-2-2-1-1221111-1-1-1-122-2-200-2200-1-11111-1-10000000000
χ322222-2-2-12-2-2-111112-122-1-12-2-2-1-11111-111-2-2-1-1221111-1-1-1-1-2-222002-20011-1-1-1-1110000000000
χ332-22-200222-2-20000-222-2-22000-2-2000022-22-2000022-2-200002i−2i2i−2i0000002i−2i002i−2i000000000000
χ342-22-200222-2-20000-222-2-22000-2-2000022-22-2000022-2-20000−2i2i−2i2i000000−2i2i00−2i2i000000000000
χ352-22-20022-22-20000-222-2-22000-2-200002-22-220000-2-22200002i−2i−2i2i0000002i−2i00−2i2i000000000000
χ362-22-20022-22-20000-222-2-22000-2-200002-22-220000-2-2220000−2i2i2i−2i000000−2i2i002i−2i000000000000
χ372-22-200-122-21−i3−i3i3i3-2-12-21-100011−i3−i3i3i3-1-112-2−i3i300-1-111−i3−i3i3i32i−2i2i−2i000000−ii3−3−ii3−30000000000
χ382-22-200-122-21−i3−i3i3i3-2-12-21-100011−i3−i3i3i3-1-112-2−i3i300-1-111−i3−i3i3i3−2i2i−2i2i000000i−i−33i−i−330000000000
χ392-22-200-122-21i3i3−i3−i3-2-12-21-100011i3i3−i3−i3-1-112-2i3−i300-1-111i3i3−i3−i32i−2i2i−2i000000−ii−33−ii−330000000000
χ402-22-200-122-21i3i3−i3−i3-2-12-21-100011i3i3−i3−i3-1-112-2i3−i300-1-111i3i3−i3−i3−2i2i−2i2i000000i−i3−3i−i3−30000000000
χ412-22-200-12-221−i3−i3i3i3-2-12-21-100011−i3−i3i3i3-11-1-22i3−i30011-1-1i3i3−i3−i32i−2i−2i2i000000−ii3−3i−i−330000000000
χ422-22-200-12-221−i3−i3i3i3-2-12-21-100011−i3−i3i3i3-11-1-22i3−i30011-1-1i3i3−i3−i3−2i2i2i−2i000000i−i−33−ii3−30000000000
χ432-22-200-12-221i3i3−i3−i3-2-12-21-100011i3i3−i3−i3-11-1-22−i3i30011-1-1−i3−i3i3i32i−2i−2i2i000000−ii−33i−i3−30000000000
χ442-22-200-12-221i3i3−i3−i3-2-12-21-100011i3i3−i3−i3-11-1-22−i3i30011-1-1−i3−i3i3i3−2i2i2i−2i000000i−i3−3−ii−330000000000
χ452-2-222-22200-22-22-2-2-2-222202-22-22-22-2-200000000000000000000000000000000002-22-2000000
χ462-2-222-22200-22-22-2-2-2-222202-22-22-22-2-20000000000000000000000000000000000-22-22000000
χ472-2-22-222200-2-22-22-2-2-22220-222-2-22-22-200000000000000000000000000000000002-2-22000000
χ482-2-22-222200-2-22-22-2-2-22220-222-2-22-22-20000000000000000000000000000000000-222-2000000
χ49444444-2-244-2-2-2-2-2-2-2-2-2-214-2-21111111-2-2-2-2-2-2-2-2111111110000000000000000000000000000
χ50444444-2-2-4-4-2-2-2-2-2-2-2-2-2-21-4-2-2111111122222222-1-1-1-1-1-1-1-10000000000000000000000000000
χ514444-4-4-2-244-22222-2-2-2-2-21-42211-1-1-1-11-2-2-2-222221111-1-1-1-10000000000000000000000000000
χ524444-4-4-2-2-4-4-22222-2-2-2-2-2142211-1-1-1-112222-2-2-2-2-1-1-1-111110000000000000000000000000000
χ5344-4-4004400400004-4-4-4-44000-440000-400000000000000000000000000000000000000000000
χ5444-4-4004-20040000-2-422-4-20002-20000200000023−23000023−2323−230000000000000000000000000000
χ5544-4-4004-20040000-2-422-4-20002-200002000000−23230000−2323−23230000000000000000000000000000
χ5644-4-400-2400-2−2i32i32i3−2i342-4-42-20002-2−2i32i32i3−2i3200000000000000000000000000000000000000000000
χ5744-4-400-2400-22i3−2i3−2i32i342-4-42-20002-22i3−2i3−2i32i3200000000000000000000000000000000000000000000
χ5844-4-400-2-200-2−2i32i32i3−2i3-222221000-11i3−i3−i3i3-100000023−233i−3i3i−3i−33−330000000000000000000000000000
χ5944-4-400-2-200-2−2i32i32i3−2i3-222221000-11i3−i3−i3i3-1000000−2323−3i3i−3i3i3−33−30000000000000000000000000000
χ6044-4-400-2-200-22i3−2i3−2i32i3-222221000-11−i3i3i3−i3-100000023−23−3i3i−3i3i−33−330000000000000000000000000000
χ6144-4-400-2-200-22i3−2i3−2i32i3-222221000-11−i3i3i3−i3-1000000−23233i−3i3i−3i3−33−30000000000000000000000000000
χ624-44-4004-24-4-4000024-22-4-2000220000-24-4-220000-2-22200000000000000000000000000000000
χ634-44-4004-2-44-4000024-22-4-2000220000-2-442-2000022-2-200000000000000000000000000000000
χ644-44-400-2-24-42−2i3−2i32i32i32-2-2221000-1-1i3i3−i3−i31-22-22−2i32i30011-1-1i3i3−i3−i30000000000000000000000000000
χ654-44-400-2-24-422i32i3−2i3−2i32-2-2221000-1-1−i3−i3i3i31-22-222i3−2i30011-1-1−i3−i3i3i30000000000000000000000000000
χ664-44-400-2-2-442−2i3−2i32i32i32-2-2221000-1-1i3i3−i3−i312-22-22i3−2i300-1-111−i3−i3i3i30000000000000000000000000000
χ674-44-400-2-2-4422i32i3−2i3−2i32-2-2221000-1-1−i3−i3i3i312-22-2−2i32i300-1-111i3i3−i3−i30000000000000000000000000000
χ684-4-444-44-200-44-44-42-42-24-20-22-22-22-22200000000000000000000000000000000000000000000
χ694-4-444-4-24002-22-22-42-44-2-204-4-22-22-22200000000000000000000000000000000000000000000
χ704-4-444-4-2-2002-22-22222-2-210-221-11-11-1-1000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000
χ714-4-444-4-2-2002-22-22222-2-210-221-11-11-1-100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000
χ724-4-44-444-200-4-44-442-42-24-202-2-222-22-2200000000000000000000000000000000000000000000
χ734-4-44-44-240022-22-2-42-44-2-20-44-222-22-2200000000000000000000000000000000000000000000
χ744-4-44-44-2-20022-22-2222-2-2102-21-1-11-11-1000000003i−3i−3i3i3i−3i−3i3i0000000000000000000000000000
χ754-4-44-44-2-20022-22-2222-2-2102-21-1-11-11-100000000−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000

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