Finite Group Databasebeta

← Group #10590500

Character table — Group #10590500

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size111122222222224444444444444466666688888888121212121212121212121212121212242424363672
order12223344666666344666121212121212121222666612121212121212124448812121212121224242424266884
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-11111111-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111111-1-1111111-1-1-1-11111111-1-111-1-1-1-11-1-11111-1-1-1-11111-1-1-111-1
χ6111111111111111-1-1111111-1-1-1-11111111-1-111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1111-1-11
χ7111111111111111-1-1111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111111111-1-1-1-1-11
χ8111111111111111-1-1111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1
χ9222222-2-2222222200222-2-2-20000-222222200-2-20000-20000-2-200000000000000
χ10222222-2-2222222200222-2-2-20000-2-2-2-2-2-2-200-2-20000200002200000000000000
χ1122222-1222-1-1-122-122-1-1-1-1222222-1000000-1-1-1-1-1-1-1-100022000000-1-1-1-12-1-1000
χ1222222-1222-1-1-122-122-1-1-1-1222222-1000000-1-1-1-1-1-1-1-1000-2-20000001111-211000
χ1322222-1222-1-1-122-1-2-2-1-1-1-122-2-2-2-2-100000011-1-1111100022000000-1-1-1-1-211000
χ1422222-1222-1-1-122-1-2-2-1-1-1-122-2-2-2-2-100000011-1-11111000-2-200000011112-1-1000
χ152222-1222-1222-1-1-122-1-1-12-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-122200-1-1-1-1-1-10000000000
χ162222-1222-1222-1-1-122-1-1-12-1-1-1-1-1-12-2-2111122-1-1-1-1-1-1-2-2-2001111110000000000
χ172222-1222-1222-1-1-1-2-2-1-1-12-1-11111222-1-1-1-1-2-2-1-111112-2-200-1-111110000000000
χ182222-1222-1222-1-1-1-2-2-1-1-12-1-111112-2-21111-2-2-1-11111-2220011-1-1-1-10000000000
χ192222-12-2-2-1222-1-1-100-1-1-1-211−i3−i3i3i3-222-1-1-1-10011−i3−i3i3i3-2000011−i3−i3i3i30000000000
χ202222-12-2-2-1222-1-1-100-1-1-1-211−i3−i3i3i3-2-2-211110011−i3−i3i3i320000-1-1i3i3−i3−i30000000000
χ212222-12-2-2-1222-1-1-100-1-1-1-211i3i3−i3−i3-222-1-1-1-10011i3i3−i3−i3-2000011i3i3−i3−i30000000000
χ222222-12-2-2-1222-1-1-100-1-1-1-211i3i3−i3−i3-2-2-211110011i3i3−i3−i320000-1-1−i3−i3i3i30000000000
χ2322-2-2222-2-2-22-22-2200-22-2-22-200002000000002-2000002i−2i00002i−2i2i−2i0000000000
χ2422-2-2222-2-2-22-22-2200-22-2-22-200002000000002-200000−2i2i0000−2i2i−2i2i0000000000
χ2522-2-222-22-2-22-22-222i−2i-22-22-222i−2i2i−2i-20000002i−2i-222i−2i2i−2i000000000000000000000
χ2622-2-222-22-2-22-22-22−2i2i-22-22-22−2i2i−2i2i-2000000−2i2i-22−2i2i−2i2i000000000000000000000
χ2722-2-22-1-22-21-112-2-12i−2i1-11-1-222i−2i2i−2i1000000−ii1-1−ii−ii0000000000033−3−30−i3i3000
χ2822-2-22-1-22-21-112-2-12i−2i1-11-1-222i−2i2i−2i1000000−ii1-1−ii−ii00000000000−3−3330i3−i3000
χ2922-2-22-1-22-21-112-2-1−2i2i1-11-1-22−2i2i−2i2i1000000i−i1-1i−ii−i0000000000033−3−30i3−i3000
χ3022-2-22-1-22-21-112-2-1−2i2i1-11-1-22−2i2i−2i2i1000000i−i1-1i−ii−i00000000000−3−3330−i3i3000
χ3122-2-2-122-21-22-2-11-1001-11-2-113−3−33200−i3−i3i3i300-113−3−3302i−2i00−i3i3−ii−ii0000000000
χ3222-2-2-122-21-22-2-11-1001-11-2-113−3−33200i3i3−i3−i300-113−3−330−2i2i00i3−i3i−ii−i0000000000
χ3322-2-2-122-21-22-2-11-1001-11-2-11−333−3200−i3−i3i3i300-11−333−30−2i2i00−i3i3i−ii−i0000000000
χ3422-2-2-122-21-22-2-11-1001-11-2-11−333−3200i3i3−i3−i300-11−333−302i−2i00i3−i3−ii−ii0000000000
χ3522-2-2-12-221-22-2-11-12i−2i1-1121-1−ii−ii-200−i3−i3i3i32i−2i1-1−ii−ii00000i3−i33−3−330000000000
χ3622-2-2-12-221-22-2-11-12i−2i1-1121-1−ii−ii-200i3i3−i3−i32i−2i1-1−ii−ii00000−i3i3−333−30000000000
χ3722-2-2-12-221-22-2-11-1−2i2i1-1121-1i−ii−i-200−i3−i3i3i3−2i2i1-1i−ii−i00000i3−i3−333−30000000000
χ3822-2-2-12-221-22-2-11-1−2i2i1-1121-1i−ii−i-200i3i3−i3−i3−2i2i1-1i−ii−i00000−i3i33−3−330000000000
χ392-2-22220022-2-2-2-22002-2-2000000002-22-22-200000000000−i2i2000000−i2i2−i2i2000−i2i20
χ402-2-22220022-2-2-2-22002-2-2000000002-22-22-200000000000i2−i2000000i2−i2i2−i2000i2−i20
χ412-2-22220022-2-2-2-22002-2-200000000-22-22-2200000000000−i2i2000000−i2i2−i2i2000i2−i20
χ422-2-22220022-2-2-2-22002-2-200000000-22-22-2200000000000i2−i2000000i2−i2i2−i2000−i2i20
χ4344444-2-4-44-2-2-244-200-2-2-22-4-40000200000000220000000000000000000000000
χ444444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-2000000-2-2111111000000000000000000000
χ454444-2-244-2-2-2-2-2-21-4-4111-2-2-22222-20000002211-1-1-1-1000000000000000000000
χ464444-2-2-4-4-2-2-2-2-2-2100111222−2i3−2i32i32i3200000000-1-1i3i3−i3−i3000000000000000000000
χ474444-2-2-4-4-2-2-2-2-2-21001112222i32i3−2i3−2i3200000000-1-1−i3−i3i3i3000000000000000000000
χ4844-4-44-24-4-42-224-4-2002-2224-40000-200000000-220000000000000000000000000
χ4944-4-4-2-24-422-22-22100-11-12-2223−23−2323-2000000001-1−333−3000000000000000000000
χ5044-4-4-2-24-422-22-22100-11-12-22−232323−23-2000000001-13−3−33000000000000000000000
χ5144-4-4-2-2-4422-22-2214i−4i-11-1-22-2−2i2i−2i2i2000000−2i2i-11i−ii−i000000000000000000000
χ5244-4-4-2-2-4422-22-221−4i4i-11-1-22-22i−2i2i−2i20000002i−2i-11−ii−ii000000000000000000000
χ534-44-44400-4-4-44-44400-4-440000000000000000000000000000000000000000000
χ544-44-44-200-422-2-44-20022-2000000000000000000000000000000000i6−i6−i6i6000000
χ554-44-44-200-422-2-44-20022-2000000000000000000000000000000000−i6i6i6−i6000000
χ564-44-4-24002-4-442-2-20022-20000000000−2i32i32i3−2i300000000000000000000000000000
χ574-44-4-24002-4-442-2-20022-200000000002i3−2i3−2i32i300000000000000000000000000000
χ584-4-444-2004-222-4-4-200-2220000000000000000000000000−2i22i2000000i2−i2i2−i2000000
χ594-4-444-2004-222-4-4-200-22200000000000000000000000002i2−2i2000000−i2i2−i2i2000000
χ604-4-44-2400-24-4-422-200-222000000004-4-22-2200000000000000000000000000000
χ614-4-44-2400-24-4-422-200-22200000000-442-22-200000000000000000000000000000
χ628-88-8-4-400444-44-4200-2-220000000000000000000000000000000000000000000
χ638-8-88-4-400-4-444442002-2-20000000000000000000000000000000000000000000

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