Finite Group Databasebeta

← Group #10591595

Character table — Group #10591595

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size111122222222224444444444444466666688888888121212121212121212121212121212242424363672
order1222334466666634466612121212121212122266661212121212121212444881212121212122424242441212884
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
χ1122222-1222-1-122-1-122-1-1-12-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-122200-1-1-1-1-1-10000000000
χ1222222-1222-1-122-1-122-1-1-12-1-1-1-1-1-12-2-2111122-1-1-1-1-1-1-2-2-2001111110000000000
χ1322222-1222-1-122-1-1-2-2-1-1-12-1-11111222-1-1-1-1-2-2-1-111112-2-200-1-111110000000000
χ1422222-1222-1-122-1-1-2-2-1-1-12-1-111112-2-21111-2-2-1-11111-2220011-1-1-1-10000000000
χ1522222-1-2-22-1-122-1-100-1-1-1-211−i3−i3i3i3-222-1-1-1-10011−i3−i3i3i3-2000011−i3−i3i3i30000000000
χ1622222-1-2-22-1-122-1-100-1-1-1-211−i3−i3i3i3-2-2-211110011−i3−i3i3i320000-1-1i3i3−i3−i30000000000
χ1722222-1-2-22-1-122-1-100-1-1-1-211i3i3−i3−i3-222-1-1-1-10011i3i3−i3−i3-2000011i3i3−i3−i30000000000
χ1822222-1-2-22-1-122-1-100-1-1-1-211i3i3−i3−i3-2-2-211110011i3i3−i3−i320000-1-1−i3−i3i3i30000000000
χ192222-1222-122-1-12-122-1-1-1-1222222-1000000-1-1-1-1-1-1-1-100022000000-1-1-1-12-1-1000
χ202222-1222-122-1-12-122-1-1-1-1222222-1000000-1-1-1-1-1-1-1-1000-2-20000001111-211000
χ212222-1222-122-1-12-1-2-2-1-1-1-122-2-2-2-2-100000011-1-1111100022000000-1-1-1-1-211000
χ222222-1222-122-1-12-1-2-2-1-1-1-122-2-2-2-2-100000011-1-11111000-2-200000011112-1-1000
χ2322-2-2220022-2-2-2-22002-2-2000000002-222-2-2000000000002−200000022−2−20002−20
χ2422-2-2220022-2-2-2-22002-2-2000000002-222-2-200000000000−22000000−2−222000−220
χ2522-2-2220022-2-2-2-22002-2-200000000-22-2-222000000000002−200000022−2−2000−220
χ2622-2-2220022-2-2-2-22002-2-200000000-22-2-22200000000000−22000000−2−2220002−20
χ272-2-22222-2-2-2-22-22200-2-22-22-200002000000002-2000002-200002-22-20000000000
χ282-2-22222-2-2-2-22-22200-2-22-22-200002000000002-200000-220000-22-220000000000
χ292-2-2222-22-2-2-22-2222-2-2-222-222-22-2-20000002-2-222-22-2000000000000000000000
χ302-2-2222-22-2-2-22-222-22-2-222-22-22-22-2000000-22-22-22-22000000000000000000000
χ312-2-222-12-2-2112-2-1-10011-1-2-11−i3i3i3−i3200−i3i3−i3i300-11−i3i3i3−i302-200−i3i3-11-110000000000
χ322-2-222-12-2-2112-2-1-10011-1-2-11−i3i3i3−i3200i3−i3i3−i300-11−i3i3i3−i30-2200i3−i31-11-10000000000
χ332-2-222-12-2-2112-2-1-10011-1-2-11i3−i3−i3i3200−i3i3−i3i300-11i3−i3−i3i30-2200−i3i31-11-10000000000
χ342-2-222-12-2-2112-2-1-10011-1-2-11i3−i3−i3i3200i3−i3i3−i300-11i3−i3−i3i302-200i3−i3-11-110000000000
χ352-2-222-1-22-2112-2-1-12-211-121-1-11-11-200−i3i3−i3i32-21-1-11-1100000i3−i3−i3i3i3−i30000000000
χ362-2-222-1-22-2112-2-1-12-211-121-1-11-11-200i3−i3i3−i32-21-1-11-1100000−i3i3i3−i3−i3i30000000000
χ372-2-222-1-22-2112-2-1-1-2211-121-11-11-1-200−i3i3−i3i3-221-11-11-100000i3−i3i3−i3−i3i30000000000
χ382-2-222-1-22-2112-2-1-1-2211-121-11-11-1-200i3−i3i3−i3-221-11-11-100000−i3i3−i3i3i3−i30000000000
χ392-2-22-12-221-2-2-112-12-211-1-1-222-22-21000000-111-1-11-11000000000003−33−303−3000
χ402-2-22-12-221-2-2-112-12-211-1-1-222-22-21000000-111-1-11-1100000000000−33−330−33000
χ412-2-22-12-221-2-2-112-1-2211-1-1-22-22-2210000001-11-11-11-1000000000003−33−30−33000
χ422-2-22-12-221-2-2-112-1-2211-1-1-22-22-2210000001-11-11-11-100000000000−33−3303−3000
χ434444-24-4-4-244-2-24-200-2-2-22-4-40000200000000220000000000000000000000000
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
χ4844-4-44-2004-22-4-42-200-222000000004-4-2-22200000000000000000000000000000
χ4944-4-44-2004-22-4-42-200-22200000000-4422-2-200000000000000000000000000000
χ5044-4-4-2400-24-422-4-200-222000000000000000000000000022−22000000−2−222000000
χ5144-4-4-2400-24-422-4-200-2220000000000000000000000000−222200000022−2−2000000
χ524-44-44400-4-44-44-4400-44-40000000000000000000000000000000000000000000
χ534-44-44-200-42-2-442-2002-220000000000−2i32i32i3−2i300000000000000000000000000000
χ544-44-44-200-42-2-442-2002-2200000000002i3−2i3−2i32i300000000000000000000000000000
χ554-44-4-24002-442-2-4-2002-220000000000000000000000000000000006−6−66000000
χ564-44-4-24002-442-2-4-2002-22000000000000000000000000000000000−666−6000000
χ574-4-44-244-42-4-4-224-20022-224-40000-200000000-220000000000000000000000000
χ584-4-44-2-24-4222-22-2100-1-112-22−2i32i32i3−2i3-2000000001-1i3−i3−i3i3000000000000000000000
χ594-4-44-2-24-4222-22-2100-1-112-222i3−2i3−2i32i3-2000000001-1−i3i3i3−i3000000000000000000000
χ604-4-44-2-2-44222-22-214-4-1-11-22-2-22-222000000-22-111-11-1000000000000000000000
χ614-4-44-2-2-44222-22-21-44-1-11-22-22-22-220000002-2-11-11-11000000000000000000000
χ6288-8-8-4-400-4-444442002-2-20000000000000000000000000000000000000000000
χ638-88-8-4-40044-44-44200-22-20000000000000000000000000000000000000000000

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