Finite Group Databasebeta

← Group #10591189

Character table — Group #10591189

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111222222222244444444444444444444444444444424242424242424242424242436363636
order122233446666662346666666666612121212121212121212121212121212444412121212121212128888
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-11-111-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-11-11-1-111-1-111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-11-1-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1
χ611111111111111-11-1-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-111-1-111
χ711111111111111-11-1-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-111-1-1-11111-1-1-1-111
χ811111111111111-11-1-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1
χ9222222-2-222222222-222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000
χ10222222-2-2222222-222-2-2-2-222-2-2-2-22-2-2-2-22222-2-2-2-222220000000000000000
χ1122222-1222-12-12-12-1222-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1020200-1-100-1-10000
χ1222222-1222-12-12-12-1222-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10-20-2001100110000
χ1322222-1222-12-12-1-2-1-2-2-211-1-11111-122-1-1-2-211-1-1-1-11111020-200-1-100110000
χ1422222-1222-12-12-1-2-1-2-2-211-1-11111-122-1-1-2-211-1-1-1-111110-202001100-1-10000
χ1522222-1-2-22-12-12-12-1-222-1-1-1-1-1-1-1-1-1-2-211-2-21111111111000000−i3i300−i3i30000
χ1622222-1-2-22-12-12-12-1-222-1-1-1-1-1-1-1-1-1-2-211-2-21111111111000000i3−i300i3−i30000
χ1722222-1-2-22-12-12-1-2-12-2-211-1-11111-1-2-21122-1-11111-1-1-1-1000000−i3i300i3−i30000
χ1822222-1-2-22-12-12-1-2-12-2-211-1-11111-1-2-21122-1-11111-1-1-1-1000000i3−i300−i3i30000
χ192222-1222-12-12-122-12-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12020-1-100-1-1000000
χ202222-1222-12-12-122-12-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-20-20110011000000
χ212222-1222-12-12-12-2-1-211-2-2-1-11111-1-1-12211-2-2-1-1-1-1111120-20-1-10011000000
χ222222-1222-12-12-12-2-1-211-2-2-1-11111-1-1-12211-2-2-1-1-1-11111-20201100-1-1000000
χ232222-12-2-2-12-12-122-1-2-1-122-1-1-1-1-1-1-111-2-211-2-2111111110000−i3i300−i3i3000000
χ242222-12-2-2-12-12-122-1-2-1-122-1-1-1-1-1-1-111-2-211-2-2111111110000i3−i300i3−i3000000
χ252222-12-2-2-12-12-12-2-1211-2-2-1-11111-111-2-2-1-1221111-1-1-1-10000−i3i300i3−i3000000
χ262222-12-2-2-12-12-12-2-1211-2-2-1-11111-111-2-2-1-1221111-1-1-1-10000i3−i300−i3i3000000
χ272-2-22222-2-2-2-2-2220200000-2-2000022-22-2000022-2-20000000000000000002i−2i
χ282-2-22222-2-2-2-2-2220200000-2-2000022-22-2000022-2-2000000000000000000−2i2i
χ292-2-2222-22-2-2-2-2220200000-2-200002-22-220000-2-22200000000000000002-200
χ302-2-2222-22-2-2-2-2220200000-2-200002-22-220000-2-2220000000000000000-2200
χ314444-2-244-2-2-2-2-2-2414-2-2-2-21111111-2-2-2-2-2-2-2-2111111110000000000000000
χ324444-2-244-2-2-2-2-2-2-41-4222211-1-1-1-11-2-2-2-222221111-1-1-1-10000000000000000
χ334444-2-2-4-4-2-2-2-2-2-241-4-2-2-2-2111111122222222-1-1-1-1-1-1-1-10000000000000000
χ344444-2-2-4-4-2-2-2-2-2-2-414222211-1-1-1-112222-2-2-2-2-1-1-1-111110000000000000000
χ3544-4-444004-4-44-4-404000004-40000-400000000000000000000000000000000
χ3644-4-44-20042-4-2-420-200000-220000200000023−2300002323−23−230000000000000000
χ3744-4-44-20042-4-2-420-200000-2200002000000−23230000−23−2323230000000000000000
χ3844-4-4-2400-2-4242-40-20−2i32i300-22−2i3−2i32i32i3200000000000000000000000000000000
χ3944-4-4-2400-2-4242-40-202i3−2i300-222i32i3−2i3−2i3200000000000000000000000000000000
χ4044-4-4-2-200-222-222010−2i32i3001-1i3i3−i3−i3-100000023−233i−3i3i−3i−3−3330000000000000000
χ4144-4-4-2-200-222-222010−2i32i3001-1i3i3−i3−i3-1000000−2323−3i3i−3i3i33−3−30000000000000000
χ4244-4-4-2-200-222-2220102i3−2i3001-1−i3−i3i3i3-100000023−23−3i3i−3i3i−3−3330000000000000000
χ4344-4-4-2-200-222-2220102i3−2i3001-1−i3−i3i3i3-1000000−23233i−3i3i−3i33−3−30000000000000000
χ444-44-44400-444-4-4-40400000-440000-400000000000000000000000000000000
χ454-44-44-200-4-242-420-2000−2i32i32-2−2i32i3−2i32i3200000000000000000000000000000000
χ464-44-44-200-4-242-420-20002i3−2i32-22i3−2i32i3−2i3200000000000000000000000000000000
χ474-44-4-240024-2-42-40-2000002-200002000023−2300000023−2323−230000000000000000
χ484-44-4-240024-2-42-40-2000002-2000020000−2323000000−2323−23230000000000000000
χ494-44-4-2-2002-2-222201000−2i32i3-11i3−i3i3−i3-1000023−23003i−3i−3i3i−33−330000000000000000
χ504-44-4-2-2002-2-222201000−2i32i3-11i3−i3i3−i3-10000−232300−3i3i3i−3i3−33−30000000000000000
χ514-44-4-2-2002-2-2222010002i3−2i3-11−i3i3−i3i3-1000023−2300−3i3i3i−3i−33−330000000000000000
χ524-44-4-2-2002-2-2222010002i3−2i3-11−i3i3−i3i3-10000−2323003i−3i−3i3i3−33−30000000000000000
χ534-4-444-24-4-42-424-20-200000220000-24-4-220000-2-22200000000000000000000
χ544-4-444-2-44-42-424-20-200000220000-2-442-2000022-2-200000000000000000000
χ554-4-44-244-42-42-4-240-200000220000-2-224-40000-2-22200000000000000000000
χ564-4-44-24-442-42-4-240-200000220000-22-2-44000022-2-200000000000000000000
χ574-4-44-2-24-42222-2-20100000-1-13-3-331-22-22000011-1-13-3-330000000000000000
χ584-4-44-2-24-42222-2-20100000-1-1-333-31-22-22000011-1-1-333-30000000000000000
χ594-4-44-2-2-442222-2-20100000-1-13-3-3312-22-20000-1-111-333-30000000000000000
χ604-4-44-2-2-442222-2-20100000-1-1-333-312-22-20000-1-1113-3-330000000000000000

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