Finite Group Databasebeta

← Group #10590376

Character table — Group #10590376

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111222222222244444444444444444444444444444424242424242424242424242436363636
order122233446666663446661212121212121212121212121212121212121212121212122444661212121212128888
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-1
χ6111111111111111-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-111
χ7111111111111111-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-111
χ8111111111111111-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-11111-1-1
χ9222222-2-222222222-22222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000
χ10222222-2-22222222-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000
χ1122222-12222-1-1-12-122-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12200-1-1-1-100000000
χ1222222-12222-1-1-12-122-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200111100000000
χ1322222-12222-1-1-12-1-2-2-1-1-1-2-211-2-211-1-122-1-1-1-1111111112-200-1-11100000000
χ1422222-12222-1-1-12-1-2-2-1-1-1-2-211-2-211-1-122-1-1-1-111111111-220011-1-100000000
χ1522222-1-2-222-1-1-12-12-2-1-1-122-1-1-2-21111-2-21111-1-1-1-111110000−i3i3−i3i300000000
χ1622222-1-2-222-1-1-12-12-2-1-1-122-1-1-2-21111-2-21111-1-1-1-111110000i3−i3i3−i300000000
χ1722222-1-2-222-1-1-12-1-22-1-1-1-2-21122-1-111-2-211111111-1-1-1-10000−i3i3i3−i300000000
χ1822222-1-2-222-1-1-12-1-22-1-1-1-2-21122-1-111-2-211111111-1-1-1-10000i3−i3−i3i300000000
χ192222-1222-1-1222-1-122-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100220000-1-1-1-10000
χ202222-1222-1-1222-1-122-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2000011110000
χ212222-1222-1-1222-1-1-2-2-1-1-111-2-211-2-222-1-1-1-1-1-111111111002-20000-1-1110000
χ222222-1222-1-1222-1-1-2-2-1-1-111-2-211-2-222-1-1-1-1-1-11111111100-22000011-1-10000
χ232222-12-2-2-1-1222-1-12-2-1-1-1-1-12211-2-2-2-2111111-1-1-1-1111100000000−i3i3−i3i30000
χ242222-12-2-2-1-1222-1-12-2-1-1-1-1-12211-2-2-2-2111111-1-1-1-1111100000000i3−i3i3−i30000
χ252222-12-2-2-1-1222-1-1-22-1-1-111-2-2-1-122-2-21111111111-1-1-1-100000000−i3i3i3−i30000
χ262222-12-2-2-1-1222-1-1-22-1-1-111-2-2-1-122-2-21111111111-1-1-1-100000000i3−i3−i3i30000
χ272-2-22222-2-2-2-2-2222002-2-2000000002-22-222-2-200000000000000000000002-2
χ282-2-22222-2-2-2-2-2222002-2-2000000002-22-222-2-20000000000000000000000-22
χ292-2-2222-22-2-2-2-2222002-2-200000000-22-22-2-222000000000000000000002-200
χ302-2-2222-22-2-2-2-2222002-2-200000000-22-22-2-22200000000000000000000-2200
χ314444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-2-2-2-2-21111111111110000000000000000
χ324444-2-244-2-2-2-2-2-21-4-411122222222-2-2-2-21111-1-1-1-1-1-1-1-10000000000000000
χ334444-2-2-4-4-2-2-2-2-2-214-4111-2-2-2-222222222-1-1-1-11111-1-1-1-10000000000000000
χ344444-2-2-4-4-2-2-2-2-2-21-441112222-2-2-2-22222-1-1-1-1-1-1-1-111110000000000000000
χ3544-4-444004-44-4-4-4400-44-40000000000000000000000000000000000000000
χ3644-4-44-2004-4-222-4-2002-2200000023−230000000000002323−23−230000000000000000
χ3744-4-44-2004-4-222-4-2002-22000000−2323000000000000−23−2323230000000000000000
χ3844-4-4-2400-224-4-42-2002-22−2i32i300000000000000−2i3−2i32i32i300000000000000000000
χ3944-4-4-2400-224-4-42-2002-222i3−2i3000000000000002i32i3−2i3−2i300000000000000000000
χ4044-4-4-2-200-22-2222100-11-1−2i32i3000023−2300003i−3i3i−3ii3i3−i3−i3−3−3330000000000000000
χ4144-4-4-2-200-22-2222100-11-1−2i32i30000−23230000−3i3i−3i3ii3i3−i3−i333−3−30000000000000000
χ4244-4-4-2-200-22-2222100-11-12i3−2i3000023−230000−3i3i−3i3i−i3−i3i3i3−3−3330000000000000000
χ4344-4-4-2-200-22-2222100-11-12i3−2i30000−232300003i−3i3i−3i−i3−i3i3i333−3−30000000000000000
χ444-44-44400-44-44-4-4400-4-440000000000000000000000000000000000000000
χ454-44-44-200-442-22-4-20022-20023−2300000000000023−2323−2300000000000000000000
χ464-44-44-200-442-22-4-20022-200−2323000000000000−2323−232300000000000000000000
χ474-44-4-24002-2-44-42-20022-20000−2i32i300000000000000−2i32i3−2i32i30000000000000000
χ484-44-4-24002-2-44-42-20022-200002i3−2i3000000000000002i3−2i32i3−2i30000000000000000
χ494-44-4-2-2002-22-222100-1-110023−23−2i32i30000003i−3i−3i3i−33−33i3−i3i3−i30000000000000000
χ504-44-4-2-2002-22-222100-1-110023−232i3−2i3000000−3i3i3i−3i−33−33−i3i3−i3i30000000000000000
χ514-44-4-2-2002-22-222100-1-1100−2323−2i32i3000000−3i3i3i−3i3−33−3i3−i3i3−i30000000000000000
χ524-44-4-2-2002-22-222100-1-1100−23232i3−2i30000003i−3i−3i3i3−33−3−i3i3−i3i30000000000000000
χ534-4-444-24-4-4-422-24-200-22200000000-224-4-2-222000000000000000000000000
χ544-4-444-2-44-4-422-24-200-222000000002-2-4422-2-2000000000000000000000000
χ554-4-44-244-422-4-44-2-200-222000000004-4-22-2-222000000000000000000000000
χ564-4-44-24-4422-4-44-2-200-22200000000-442-222-2-2000000000000000000000000
χ574-4-44-2-24-42222-2-21001-1-100000000-22-2211-1-13i−3i−3i3i−3i3i3i−3i0000000000000000
χ584-4-44-2-24-42222-2-21001-1-100000000-22-2211-1-1−3i3i3i−3i3i−3i−3i3i0000000000000000
χ594-4-44-2-2-442222-2-21001-1-1000000002-22-2-1-1113i−3i−3i3i3i−3i−3i3i0000000000000000
χ604-4-44-2-2-442222-2-21001-1-1000000002-22-2-1-111−3i3i3i−3i−3i3i3i−3i0000000000000000

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