Finite Group Databasebeta

← Group #10591635

Character table — Group #10591635

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111222222222244444444666666668888888888812121212121212121818181824242424242472
order122233446666663666121212122244888841212121212121212121266121224242424888844121212124
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1111
χ51111111111111111111111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-11-1-1-111-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-11
χ71111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1
χ9222222-2-22222222222-2-2-2-222-2-2000000000-2-2000022-2-2000000000000000
χ10222222-2-22222222222-2-2-2-2-2-222000000000-2-20000-2-222000000000000000
χ1122222-12222-1-1-12-1-1-1-1-1-122222200002-1-122-1-1-1-1-1-1-1-1-1-10000000002-1-1000
χ1222222-12222-1-1-12-1-1-1-1-1-12222220000-211-2-2-1-11111-1-1-1-1000000000-211000
χ1322222-12222-1-1-12-1-1-1-1-1-122-2-2-2-200002-1-122-1-1-1-1-1-11111000000000-211000
χ1422222-12222-1-1-12-1-1-1-1-1-122-2-2-2-20000-211-2-2-1-1111111110000000002-1-1000
χ1522222-1-2-222-1-1-12-1-1-1-111-2-222-2-200000−i3i30011−i3−i3i3i3-1-1110000000000−i3i3000
χ1622222-1-2-222-1-1-12-1-1-1-111-2-222-2-200000i3−i30011i3i3−i3−i3-1-1110000000000i3−i3000
χ1722222-1-2-222-1-1-12-1-1-1-111-2-2-2-22200000−i3i30011−i3−i3i3i311-1-10000000000i3−i3000
χ1822222-1-2-222-1-1-12-1-1-1-111-2-2-2-22200000i3−i30011i3i3−i3−i311-1-10000000000−i3i3000
χ192222-1222-1-1222-1-1-1-1-122-1-100002222222-1-1-1-1-1-1-1-10000-1-1-1-100002000-1-10
χ202222-1222-1-1222-1-1-1-1-122-1-100002222-2-2-211-1-111110000-1-1-1-10000-2000110
χ212222-1222-1-1222-1-1-1-1-122-1-10000-2-2-2-2222-1-1-1-1-1-1-1-1000011110000-2000110
χ222222-1222-1-1222-1-1-1-1-122-1-10000-2-2-2-2-2-2-211-1-111110000111100002000-1-10
χ2322-2-222002-22-2-2-222-2-200002-20022−2−2000000000002-20022−2−222−2−20000000
χ2422-2-222002-22-2-2-222-2-200002-200−2−222000000000002-200−2−222−2−2220000000
χ2522-2-222002-22-2-2-222-2-20000-220022−2−200000000000-220022−2−2−2−2220000000
χ2622-2-222002-22-2-2-222-2-20000-2200−2−22200000000000-2200−2−22222−2−20000000
χ272-22-2222-2-2-2-22-222-2-222-22-200000000000002-20000000000002i−2i2i−2i0000000
χ282-22-2222-2-2-2-22-222-2-222-22-200000000000002-2000000000000−2i2i−2i2i0000000
χ292-22-222-22-2-2-22-222-2-22-22-2200002-22-200000-22000000002-22-200000000000
χ302-22-222-22-2-2-22-222-2-22-22-220000-22-2200000-2200000000-22-2200000000000
χ312-22-2-12-2211-22-2-1-111-1-221-100002-22-2000−i3i31-1−i3i3−i3i30000-11-1100000000−i3i30
χ322-22-2-12-2211-22-2-1-111-1-221-100002-22-2000i3−i31-1i3−i3i3−i30000-11-1100000000i3−i30
χ332-22-2-12-2211-22-2-1-111-1-221-10000-22-22000−i3i31-1−i3i3−i3i300001-11-100000000i3−i30
χ342-22-2-12-2211-22-2-1-111-1-221-10000-22-22000i3−i31-1i3−i3i3−i300001-11-100000000−i3i30
χ352-2-222200-22-2-22-22-22-20000002i−2i2−2−2200000000000002i−2i2−2−22−i2i2i2−i20000000
χ362-2-222200-22-2-22-22-22-20000002i−2i−222−200000000000002i−2i−222−2i2−i2−i2i20000000
χ372-2-222200-22-2-22-22-22-2000000−2i2i2−2−220000000000000−2i2i2−2−22i2−i2−i2i20000000
χ382-2-222200-22-2-22-22-22-2000000−2i2i−222−20000000000000−2i2i−222−2−i2i2i2−i20000000
χ394444-24-4-4-2-2444-2-2-2-2-2-4-42200000000000002200000000000000000000000
χ404444-2-244-2-2-2-2-2-21111-2-2-2-2000000004-2-2-2-21111110000000000000000000
χ414444-2-244-2-2-2-2-2-21111-2-2-2-200000000-4222211-1-1-1-10000000000000000000
χ424444-2-2-4-4-2-2-2-2-2-211112222000000000−2i32i300-1-1i3i3−i3−i30000000000000000000
χ434444-2-2-4-4-2-2-2-2-2-2111122220000000002i3−2i300-1-1−i3−i3i3i30000000000000000000
χ4444-4-44-2004-4-222-4-2-22200004-400000000000000000-2200000000000000000
χ4544-4-44-2004-4-222-4-2-2220000-44000000000000000002-200000000000000000
χ4644-4-4-2400-224-4-42-2-222000000002222−22−22000000000000000−2−22200000000000
χ4744-4-4-2400-224-4-42-2-22200000000−22−22222200000000000000022−2−200000000000
χ484-44-44-24-4-4-42-224-222-2-224-40000000000000-2200000000000000000000000
χ494-44-44-2-44-4-42-224-222-22-2-4400000000000002-200000000000000000000000
χ504-44-4-244-422-44-4-2-222-24-4-220000000000000-2200000000000000000000000
χ514-44-4-2-24-4222-22-21-1-11-22-2200000000000001-13-3-330000000000000000000
χ524-44-4-2-24-4222-22-21-1-11-22-2200000000000001-1-333-30000000000000000000
χ534-44-4-2-2-44222-22-21-1-112-22-200000000000−2i32i3-11i3−i3i3−i30000000000000000000
χ544-44-4-2-2-44222-22-21-1-112-22-2000000000002i3−2i3-11−i3i3−i3i30000000000000000000
χ554-4-444-200-4422-2-4-22-220000004i−4i00000000000000000−2i2i000000000000000
χ564-4-444-200-4422-2-4-22-22000000−4i4i000000000000000002i−2i000000000000000
χ574-4-44-24002-2-4-442-22-220000000022−22−2222000000000000000−222−200000000000
χ584-4-44-24002-2-4-442-22-2200000000−222222−220000000000000002−2−2200000000000
χ5988-8-8-4-400-44-444422-2-2000000000000000000000000000000000000000000
χ608-8-88-4-4004-444-442-22-2000000000000000000000000000000000000000000

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