Finite Group Databasebeta

← Group #10591170

Character table — Group #10591170

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size1111222222222222222244444444444444444444444444412121212121212121212121224242424242436363636
order12223344446666661212121223666666666661212121212121212121212121212224466661212121244121212128888
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
χ5111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-11111-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-1
χ6111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-11111-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-111
χ7111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-111
χ8111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1-111-1-1-1-11111-11-1-11111-1-1
χ922222222-2-22222222222-22-2-2-2-222-2-2-2-22-2-2-2-222-2-2-2-222220000000000000000000000
χ10222222-2-2-2-2222222-2-2-2-22222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000
χ1122222-122222-1-122-1-1-1-1-12-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000
χ1222222-122222-1-122-1-1-1-1-12-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000
χ1322222-122-2-22-1-122-1-1-1-1-1-2-1-2-211-1-11111-1-2-211221111-1-1-1-10000−i3−i3i3i3−i3−i3i3i30000000000
χ1422222-122-2-22-1-122-1-1-1-1-1-2-1-2-211-1-11111-1-2-211221111-1-1-1-10000i3i3−i3−i3i3i3−i3−i30000000000
χ1522222-1-2-2222-1-122-11111-2-1-2-211-1-11111-122-1-1-2-2-1-1-1-1111122-2-2-1-1-1-111110000000000
χ1622222-1-2-2222-1-122-11111-2-1-2-211-1-11111-122-1-1-2-2-1-1-1-11111-2-2221111-1-1-1-10000000000
χ1722222-1-2-2-2-22-1-122-111112-122-1-1-1-1-1-1-1-1-1-2-211-2-2111111110000−i3−i3i3i3i3i3−i3−i30000000000
χ1822222-1-2-2-2-22-1-122-111112-122-1-1-1-1-1-1-1-1-1-2-211-2-2111111110000i3i3−i3−i3−i3−i3i3i30000000000
χ192222-122222-122-1-1222222-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-10000
χ202222-122222-122-1-1222222-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1000000000000-2-211110000
χ212222-1222-2-2-122-1-122222-2-111-2-2-1-11111-111-2-2-1-11111-1-1-1-100000000000000−i3i3−i3i30000
χ222222-1222-2-2-122-1-122222-2-111-2-2-1-11111-111-2-2-1-11111-1-1-1-100000000000000i3−i3i3−i30000
χ232222-12-2-222-122-1-12-2-2-2-2-2-111-2-2-1-11111-1-1-12211-1-1-1-111110000000000002-2-1-1110000
χ242222-12-2-222-122-1-12-2-2-2-2-2-111-2-2-1-11111-1-1-12211-1-1-1-11111000000000000-2211-1-10000
χ252222-12-2-2-2-2-122-1-12-2-2-2-22-1-1-122-1-1-1-1-1-1-111-2-2111111111100000000000000−i3i3i3−i30000
χ262222-12-2-2-2-2-122-1-12-2-2-2-22-1-1-122-1-1-1-1-1-1-111-2-2111111111100000000000000i3−i3−i3i30000
χ272-22-2222i−2i00-22-22-2-22i2i−2i−2i0200002-20000-200002i−2i00002i2i−2i−2i0000000000000000002−2−i2i2
χ282-22-2222i−2i00-22-22-2-22i2i−2i−2i0200002-20000-200002i−2i00002i2i−2i−2i000000000000000000−22i2−i2
χ292-22-222−2i2i00-22-22-2-2−2i−2i2i2i0200002-20000-20000−2i2i0000−2i−2i2i2i0000000000000000002−2i2−i2
χ302-22-222−2i2i00-22-22-2-2−2i−2i2i2i0200002-20000-20000−2i2i0000−2i−2i2i2i000000000000000000−22−i2i2
χ312-2-2222002-2-2-2-2-2220000020000-2-2000022-22-20022-2-20000002-200002-22-20000000000
χ322-2-2222002-2-2-2-2-2220000020000-2-2000022-22-20022-2-2000000-220000-22-220000000000
χ332-2-222200-22-2-2-2-2220000020000-2-200002-22-2200-2-22200002-2002-22-200000000000000
χ342-2-222200-22-2-2-2-2220000020000-2-200002-22-2200-2-2220000-2200-22-2200000000000000
χ352-2-222-1002-2-211-22-1−i3i3−i3i30-100−i3i311−i3−i3i3i3-12-2-1100-1-111−i3i3−i3i3002-2−i3i3i3−i3-11-110000000000
χ362-2-222-1002-2-211-22-1−i3i3−i3i30-100−i3i311−i3−i3i3i3-12-2-1100-1-111−i3i3−i3i300-22i3−i3−i3i31-11-10000000000
χ372-2-222-1002-2-211-22-1i3−i3i3−i30-100i3−i311i3i3−i3−i3-12-2-1100-1-111i3−i3i3−i3002-2i3−i3−i3i3-11-110000000000
χ382-2-222-1002-2-211-22-1i3−i3i3−i30-100i3−i311i3i3−i3−i3-12-2-1100-1-111i3−i3i3−i300-22−i3i3i3−i31-11-10000000000
χ392-2-222-100-22-211-22-1−i3i3−i3i30-100i3−i311i3i3−i3−i3-1-221-10011-1-1−i3i3−i3i32-200-11-11−i3i3i3−i30000000000
χ402-2-222-100-22-211-22-1−i3i3−i3i30-100i3−i311i3i3−i3−i3-1-221-10011-1-1−i3i3−i3i3-22001-11-1i3−i3−i3i30000000000
χ412-2-222-100-22-211-22-1i3−i3i3−i30-100−i3i311−i3−i3i3i3-1-221-10011-1-1i3−i3i3−i32-200-11-11i3−i3−i3i30000000000
χ422-2-222-100-22-211-22-1i3−i3i3−i30-100−i3i311−i3−i3i3i3-1-221-10011-1-1i3−i3i3−i3-22001-11-1−i3i3i3−i30000000000
χ434444-2-24444-2-2-2-2-2-2-2-2-2-241-2-2-2-21111111-2-2-2-2-2-2111111110000000000000000000000
χ444444-2-244-4-4-2-2-2-2-2-2-2-2-2-2-41222211-1-1-1-112222-2-2-1-1-1-111110000000000000000000000
χ454444-2-2-4-444-2-2-2-2-2-22222-41222211-1-1-1-11-2-2-2-2221111-1-1-1-10000000000000000000000
χ464444-2-2-4-4-4-4-2-2-2-2-2-2222241-2-2-2-21111111222222-1-1-1-1-1-1-1-10000000000000000000000
χ4744-4-44400004-44-4-4-40000040000-440000-4000000000000000000000000000000000000
χ4844-4-44-2000042-2-4-4223−23−23230-200002-200002000000000023−23−23230000000000000000000000
χ4944-4-44-2000042-2-4-42−232323−230-200002-2000020000000000−232323−230000000000000000000000
χ5044-4-4-240000-2-4422-400000-2−2i32i3002-2−2i32i3−2i32i32000000000000000000000000000000000000
χ5144-4-4-240000-2-4422-400000-22i3−2i3002-22i3−2i32i3−2i32000000000000000000000000000000000000
χ5244-4-4-2-20000-22-222223−23−232301−2i32i300-11i3−i3i3−i3-10000003i−3i3i−3i−333−30000000000000000000000
χ5344-4-4-2-20000-22-222223−23−2323012i3−2i300-11−i3i3−i3i3-1000000−3i3i−3i3i−333−30000000000000000000000
χ5444-4-4-2-20000-22-2222−232323−2301−2i32i300-11i3−i3i3−i3-1000000−3i3i−3i3i3−3−330000000000000000000000
χ5544-4-4-2-20000-22-2222−232323−23012i3−2i300-11−i3i3−i3i3-10000003i−3i3i−3i3−3−330000000000000000000000
χ564-44-44-24i−4i00-4-224-42−2i−2i2i2i0-20000-220000200004i−4i0000−2i−2i2i2i0000000000000000000000
χ574-44-44-2−4i4i00-4-224-422i2i−2i−2i0-20000-22000020000−4i4i00002i2i−2i−2i0000000000000000000000
χ584-44-4-244i−4i0024-4-22-44i4i−4i−4i0-20000-22000020000−2i2i0000−2i−2i2i2i0000000000000000000000
χ594-44-4-24−4i4i0024-4-22-4−4i−4i4i4i0-20000-220000200002i−2i00002i2i−2i−2i0000000000000000000000
χ604-44-4-2-24i−4i002-22-222−2i−2i2i2i0100001-13-3-33-10000−2i2i−3i3i3i−3iii−i−i0000000000000000000000
χ614-44-4-2-24i−4i002-22-222−2i−2i2i2i0100001-1-333-3-10000−2i2i3i−3i−3i3iii−i−i0000000000000000000000
χ624-44-4-2-2−4i4i002-22-2222i2i−2i−2i0100001-13-3-33-100002i−2i3i−3i−3i3i−i−iii0000000000000000000000
χ634-44-4-2-2−4i4i002-22-2222i2i−2i−2i0100001-1-333-3-100002i−2i−3i3i3i−3i−i−iii0000000000000000000000
χ644-4-44-24004-42-4-42-2400000-20000220000-2-224-400-2-22200000000000000000000000000
χ654-4-44-2400-442-4-42-2400000-20000220000-22-2-440022-2-200000000000000000000000000
χ664-4-44-2-2004-42222-2-2−2i32i3−2i32i30100−2i32i3-1-1i3i3−i3−i31-22-220011-1-1i3−i3i3−i30000000000000000000000
χ674-4-44-2-2004-42222-2-22i3−2i32i3−2i301002i3−2i3-1-1−i3−i3i3i31-22-220011-1-1−i3i3−i3i30000000000000000000000
χ684-4-44-2-200-442222-2-2−2i32i3−2i32i301002i3−2i3-1-1−i3−i3i3i312-22-200-1-111i3−i3i3−i30000000000000000000000
χ694-4-44-2-200-442222-2-22i3−2i32i3−2i30100−2i32i3-1-1i3i3−i3−i312-22-200-1-111−i3i3−i3i30000000000000000000000

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