Finite Group Databasebeta

← Group #10591185

Character table — Group #10591185

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size1111222222222222222244444444444444444444444444412121212121212121212121224242424242436363636
order1222223344666666666634666666666121212121212121212121212121212124444121212121212121244121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-11111111-1-1-1-11111-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-1
χ61111-1-11111111-1-1-1-11111-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-111
χ71111-1-11111111-1-1-1-11111-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-111
χ81111-1-11111111-1-1-1-11111-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-11-1-11111-1-1
χ922222222-2-222222222222-2222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000
χ102222222-12222-12222-1-12-12-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000022-1-1-1-10000
χ112222222-12222-12222-1-12-12-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000-2-211110000
χ122222222-1-2-222-12222-1-12-1-2-1-1-1-1-1-1-1-1-11111-2-2-2-21111111100000000000000−i3i3−i3i30000
χ132222222-1-2-222-12222-1-12-1-2-1-1-1-1-1-1-1-1-11111-2-2-2-21111111100000000000000i3−i3i3−i30000
χ14222222-1222-1-12-1-1-1-122-1-1222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000
χ15222222-1222-1-12-1-1-1-122-1-1222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000
χ16222222-12-2-2-1-12-1-1-1-122-1-1-222-1-1-1-1-1-1-1-2-2-2-21111111111110000−i3−i3i3i3−i3−i3i3i30000000000
χ17222222-12-2-2-1-12-1-1-1-122-1-1-222-1-1-1-1-1-1-1-2-2-2-21111111111110000i3i3−i3−i3i3i3−i3−i30000000000
χ182222-2-222-2-2222-2-2-2-222222-2-222-2-2-2-22-2-222-2-222-2-2-2-222220000000000000000000000
χ192222-2-22-12222-1-2-2-2-2-1-12-1-211-1-11111-1-1-11122-2-2-1-1-1-111110000000000002-2-1-1110000
χ202222-2-22-12222-1-2-2-2-2-1-12-1-211-1-11111-1-1-11122-2-2-1-1-1-11111000000000000-2211-1-10000
χ212222-2-22-1-2-222-1-2-2-2-2-1-12-1211-1-11111-111-1-1-2-2221111-1-1-1-100000000000000−i3i3i3−i30000
χ222222-2-22-1-2-222-1-2-2-2-2-1-12-1211-1-11111-111-1-1-2-2221111-1-1-1-100000000000000i3−i3−i3i30000
χ232222-2-2-1222-1-12111122-1-1-2-2-2-1-11111-122-2-2-1-111-1-1-1-1111122-2-2-1-1-1-111110000000000
χ242222-2-2-1222-1-12111122-1-1-2-2-2-1-11111-122-2-2-1-111-1-1-1-11111-2-2221111-1-1-1-10000000000
χ252222-2-2-12-2-2-1-12111122-1-12-2-2-1-11111-1-2-22211-1-11111-1-1-1-10000−i3−i3i3i3i3i3−i3−i30000000000
χ262222-2-2-12-2-2-1-12111122-1-12-2-2-1-11111-1-2-22211-1-11111-1-1-1-10000i3i3−i3−i3−i3−i3i3i30000000000
χ2722-2-22-222002-2222-2-2-2-2-2202-22-222-2-2-200000000000000000000000000000000002−22−2
χ2822-2-22-222002-2222-2-2-2-2-2202-22-222-2-2-20000000000000000000000000000000000−22−22
χ2922-2-2-2222002-22-2-222-2-2-220-222-2-2-222-200000000000000000000000000000000002−2−22
χ3022-2-2-2222002-22-2-222-2-2-220-222-2-2-222-20000000000000000000000000000000000−222−2
χ312-2-2200222-2-2-2-20000-2222000-2-2000022-2002-20022-2-20000002-200002-22-20000000000
χ322-2-2200222-2-2-2-20000-2222000-2-2000022-2002-20022-2-2000000-220000-22-220000000000
χ332-2-220022-22-2-2-20000-2222000-2-200002-2200-2200-2-22200002-2002-22-200000000000000
χ342-2-220022-22-2-2-20000-2222000-2-200002-2200-2200-2-2220000-2200-22-2200000000000000
χ352-2-2200-122-211-2−i3i3−i3i3-22-1-100011−i3i3−i3i3-12-200-11−i3i3-1-111−i3−i3i3i3002-2−i3i3i3−i3-11-110000000000
χ362-2-2200-122-211-2−i3i3−i3i3-22-1-100011−i3i3−i3i3-12-200-11−i3i3-1-111−i3−i3i3i300-22i3−i3−i3i31-11-10000000000
χ372-2-2200-122-211-2i3−i3i3−i3-22-1-100011i3−i3i3−i3-12-200-11i3−i3-1-111i3i3−i3−i3002-2i3−i3−i3i3-11-110000000000
χ382-2-2200-122-211-2i3−i3i3−i3-22-1-100011i3−i3i3−i3-12-200-11i3−i3-1-111i3i3−i3−i300-22−i3i3i3−i31-11-10000000000
χ392-2-2200-12-2211-2−i3i3−i3i3-22-1-100011−i3i3−i3i3-1-22001-1i3−i311-1-1i3i3−i3−i32-200-11-11−i3i3i3−i30000000000
χ402-2-2200-12-2211-2−i3i3−i3i3-22-1-100011−i3i3−i3i3-1-22001-1i3−i311-1-1i3i3−i3−i3-22001-11-1i3−i3−i3i30000000000
χ412-2-2200-12-2211-2i3−i3i3−i3-22-1-100011i3−i3i3−i3-1-22001-1−i3i311-1-1−i3−i3i3i32-200-11-11i3−i3−i3i30000000000
χ422-2-2200-12-2211-2i3−i3i3−i3-22-1-100011i3−i3i3−i3-1-22001-1−i3i311-1-1−i3−i3i3i3-22001-11-1−i3i3i3−i30000000000
χ43444444-2-244-2-2-2-2-2-2-2-2-2-214-2-21111111-2-2-2-2-2-2-2-2111111110000000000000000000000
χ44444444-2-2-4-4-2-2-2-2-2-2-2-2-2-21-4-2-2111111122222222-1-1-1-1-1-1-1-10000000000000000000000
χ454444-4-4-2-244-2-2-22222-2-2-21-42211-1-1-1-11-2-222-2-2221111-1-1-1-10000000000000000000000
χ464444-4-4-2-2-4-4-2-2-22222-2-2-2142211-1-1-1-1122-2-222-2-2-1-1-1-111110000000000000000000000
χ4744-4-44-44-2004-4-244-4-422-4-20-22-22-2-222200000000000000000000000000000000000000
χ4844-4-44-4-2400-224-2-222-4-42-204-4-22-2-222200000000000000000000000000000000000000
χ4944-4-44-4-2-200-22-2-2-22222210-221-111-1-1-1000000003i−3i3i−3i3i−3i3i−3i0000000000000000000000
χ5044-4-44-4-2-200-22-2-2-22222210-221-111-1-1-100000000−3i3i−3i3i−3i3i−3i3i0000000000000000000000
χ5144-4-4-444-2004-4-2-4-44422-4-202-2-2222-2-2200000000000000000000000000000000000000
χ5244-4-4-44-2400-22422-2-2-4-42-20-44-2222-2-2200000000000000000000000000000000000000
χ5344-4-4-44-2-200-22-222-2-2222102-21-1-1-111-1000000003i−3i3i−3i−3i3i−3i3i0000000000000000000000
χ5444-4-4-44-2-200-22-222-2-2222102-21-1-1-111-100000000−3i3i−3i3i3i−3i3i−3i0000000000000000000000
χ554-44-4004400-44-400004-4-44000-440000-400000000000000000000000000000000000000
χ564-44-4004-200-4420000-22-4-20002-2000020023−230000000023−23−23230000000000000000000000
χ574-44-4004-200-4420000-22-4-20002-20000200−232300000000−232323−230000000000000000000000
χ584-44-400-24002-2-4−2i32i32i3−2i34-42-20002-2−2i32i32i3−2i3200000000000000000000000000000000000000
χ594-44-400-24002-2-42i3−2i3−2i32i34-42-20002-22i3−2i3−2i32i3200000000000000000000000000000000000000
χ604-44-400-2-2002-22−2i32i32i3−2i3-2221000-11i3−i3−i3i3-10023−230000−3i3i3i−3i−333−30000000000000000000000
χ614-44-400-2-2002-22−2i32i32i3−2i3-2221000-11i3−i3−i3i3-100−232300003i−3i−3i3i3−3−330000000000000000000000
χ624-44-400-2-2002-222i3−2i3−2i32i3-2221000-11−i3i3i3−i3-10023−2300003i−3i−3i3i−333−30000000000000000000000
χ634-44-400-2-2002-222i3−2i3−2i32i3-2221000-11−i3i3i3−i3-100−23230000−3i3i3i−3i3−3−330000000000000000000000
χ644-4-44004-24-4-4-4200002-24-2000220000-2-22004-400-2-22200000000000000000000000000
χ654-4-44004-2-44-4-4200002-24-2000220000-22-200-440022-2-200000000000000000000000000
χ664-4-4400-2-24-4222−2i32i3−2i32i32-2-21000-1-1i3−i3i3−i31-2200-22−2i32i311-1-1i3i3−i3−i30000000000000000000000
χ674-4-4400-2-24-42222i3−2i32i3−2i32-2-21000-1-1−i3i3−i3i31-2200-222i3−2i311-1-1−i3−i3i3i30000000000000000000000
χ684-4-4400-2-2-44222−2i32i3−2i32i32-2-21000-1-1i3−i3i3−i312-2002-22i3−2i3-1-111−i3−i3i3i30000000000000000000000
χ694-4-4400-2-2-442222i3−2i32i3−2i32-2-21000-1-1−i3i3−i3i312-2002-2−2i32i3-1-111i3i3−i3−i30000000000000000000000

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