Finite Group Databasebeta

← Group #10595464

Character table — Group #10595464

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11222222244444444444444446666888888881212121212121212121212121212181824242424363636
order122334466234666661212121212121212224466661212121222446666668812128812122424248
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1111111-1-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1
χ41111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111
χ5111111111-11-111-1-1111-1-111111111-11-1-1-11-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1
χ6111111111-11-111-1-1111-1-111111111-11-1-1-11-1-1-1-1-1-111-1-1-1-1111111-1-111-1-11
χ7111111111-11-111-1-1111-1-11111-1-1-1-1-11-1-1-11-1-11111-1-11111-1-1-1-11111-1-1-1-11
χ8111111111-11-111-1-1111-1-11111-1-1-1-1-11-1-1-11-1-111-1-1-1-1111111-1-1-1-1-1-11111-1
χ911-111-111111-1-1-11111-1-1-1-1-1-111-11-11-111-11-1-11-11-11-111-1-11-11-1111-11-1-11-1
χ1011-111-111111-1-1-11111-1-1-1-1-1-111-11-11-111-11-1-11-1-111-111-1-1-111-1-1-1-11-111-11
χ1111-111-111111-1-1-11111-1-1-1-1-1-11-11-111-111-11-1-1-111-1-11-1-1111-1-11-1-11-11-11-11
χ1211-111-111111-1-1-11111-1-1-1-1-1-11-11-111-111-11-1-1-11-11-11-1-111-11-1111-11-11-11-1
χ1311-111-1111-111-1-1-1-111-111-1-1-111-11-1-1-1-1-11111-111-11-1-1-111-111-1-1-11-1-11-111
χ1411-111-1111-111-1-1-1-111-111-1-1-111-11-1-1-1-1-11111-11-111-1-1-1111-11-111-111-11-1-1
χ1511-111-1111-111-1-1-1-111-111-1-1-11-11-11-1-1-1-111111-11-1-1111-1-1-11-11111-1-111-1-1
χ1611-111-1111-111-1-1-1-111-111-1-1-11-11-11-1-1-1-111111-1-11-1111-1-11-1-11-1-1-111-1-111
χ1722222-2-22202022002-2-200-2-2-2-22-2-2202000-20000002-2000000-22000000000
χ1822222-2-22202022002-2-200-2-2-2-2-222-202000-2000000-220000002-2000000000
χ192222-122-122-122-1-1-1-1-1-1-1-12-1-1222222-1-1-12-1-1-12200-1-1-1-1-1-100-1-1000000000
χ202222-122-122-122-1-1-1-1-1-1-1-12-1-12-2-2-2-22-1-1-12-1-1-1-2-2001111110011000000000
χ212222-122-12-2-1-22-111-1-1-1112-1-122222-2-111-2-111-2-200-1-1111100-1-1000000000
χ222222-122-12-2-1-22-111-1-1-1112-1-12-2-2-2-2-2-111-2-111220011-1-1-1-10011000000000
χ232222-1-2-2-120-102-1−i3i3-111−i3i3-211-22-2-220-1−i3i301−i3i30000-11−i3i3−i3i3001-1000000000
χ242222-1-2-2-120-102-1−i3i3-111−i3i3-211-2-222-20-1−i3i301−i3i300001-1i3−i3i3−i300-11000000000
χ252222-1-2-2-120-102-1i3−i3-111i3−i3-211-22-2-220-1i3−i301i3−i30000-11i3−i3i3−i3001-1000000000
χ262222-1-2-2-120-102-1i3−i3-111i3−i3-211-2-222-20-1i3−i301i3−i300001-1−i3i3−i3i300-11000000000
χ27222-12222-12-12-1222-12222-1-1-1-10000-1-1-1-1-1-1-1-10022000000220000-1-1-1-1000
χ28222-12222-12-12-1222-12222-1-1-1-10000-1-1-1-1-1-1-1-100-2-2000000-2-200001111000
χ29222-12222-1-2-1-2-12-2-2-122-2-2-1-1-1-100001-1111-1110022000000-2-20000-1-111000
χ30222-12222-1-2-1-2-12-2-2-122-2-2-1-1-1-100001-1111-11100-2-200000022000011-1-1000
χ3122-2222-222020-2-2002-2200222-222-2-20-2000-200000022000000-2-2000000000
χ3222-2222-222020-2-2002-2200222-2-2-2220-2000-2000000-2-200000022000000000
χ3322-22-12-2-120-10-21−i3i3-11-1i3−i32-1-1-222-2-201−i3i301i3−i30000-1-1−i3i3i3−i30011000000000
χ3422-22-12-2-120-10-21−i3i3-11-1i3−i32-1-1-2-2-22201−i3i301i3−i3000011i3−i3−i3i300-1-1000000000
χ3522-22-12-2-120-10-21i3−i3-11-1−i3i32-1-1-222-2-201i3−i301−i3i30000-1-1i3−i3−i3i30011000000000
χ3622-22-12-2-120-10-21i3−i3-11-1−i3i32-1-1-2-2-22201i3−i301−i3i3000011−i3i3i3−i300-1-1000000000
χ3722-22-1-22-122-1-2-21-1-1-1-1111-21122-22-221-1-1-2-1112-200-11-1-11100-11000000000
χ3822-22-1-22-122-1-2-21-1-1-1-1111-2112-22-2221-1-1-2-111-22001-111-1-1001-1000000000
χ3922-22-1-22-12-2-12-2111-1-11-1-1-21122-22-2-21112-1-1-1-2200-1111-1-100-11000000000
χ4022-22-1-22-12-2-12-2111-1-11-1-1-2112-22-22-21112-1-1-12-2001-1-1-111001-1000000000
χ4122-2-12-222-12-1-21-222-12-2-2-2111-10000-11-1-11-111002-20000002-20000-11-11000
χ4222-2-12-222-12-1-21-222-12-2-2-2111-10000-11-1-11-11100-22000000-2200001-11-1000
χ4322-2-12-222-1-2-121-2-2-2-12-222111-100001111-1-1-1-1002-2000000-220000-111-1000
χ4422-2-12-222-1-2-121-2-2-2-12-222111-100001111-1-1-1-100-220000002-200001-1-11000
χ45444-24-4-44-20-20-2400-2-4-400222200000-200020000000000000000000000000
χ46444-2-244-2-2414-2-2-2-21-2-2-2-2-211-20000-2111-211100000000000000000000000
χ47444-2-244-2-2-41-4-2-2221-2-222-211-2000021-1-121-1-100000000000000000000000
χ48444-2-2-4-4-2-2010-2-2−2i32i3122−2i32i32-1-12000001i3−i30-1i3−i300000000000000000000000
χ49444-2-2-4-4-2-2010-2-22i3−2i31222i3−2i32-1-12000001−i3i30-1−i3i300000000000000000000000
χ5044-4-244-44-20-202-400-2-4400-2-2-2200000200020000000000000000000000000
χ5144-4-2-24-4-2-201022−2i32i312-22i3−2i3-211200000-1i3−i30-1−i3i300000000000000000000000
χ5244-4-2-24-4-2-2010222i3−2i312-2−2i32i3-211200000-1−i3i30-1i3−i300000000000000000000000
χ5344-4-2-2-44-2-241-422-2-21-22222-1-1-20000-2-11121-1-100000000000000000000000
χ5444-4-2-2-44-2-2-41422221-22-2-22-1-1-200002-1-1-1-211100000000000000000000000
χ554-404400-4-40400000-40000000000000000000000000000000000−2i22i20000000
χ564-404400-4-40400000-400000000000000000000000000000000002i2−2i20000000
χ578-808-4004-80-40000040000000000000000000000000000000000000000000
χ588-80-4800-840-40000040000000000000000000000000000000000000000000
χ598-80-4-400440200000-2000006i−6i000000000000000000000000000000000000
χ608-80-4-400440200000-200000−6i6i000000000000000000000000000000000000

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