Finite Group Databasebeta

← Group #10595465

Character table — Group #10595465

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11222222244444444444444446666888888881212121212121212121212121212181824242424363636
order1223344662346666612121212121212122244666612121212444466881212121212128812122424248
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1
χ41111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111
χ5111111111-11-111-1-11111-1-11111111-11-1-1-11-1-1-1-11111-1-111-1-1-1-1-1-111-1-111-1
χ6111111111-11-111-1-11111-1-11111111-11-1-1-11-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11
χ7111111111-11-111-1-11111-1-1111-1-1-1-1-11-1-1-11-1-11111-1-1-1-1-1-111111111-1-1-1-11
χ8111111111-11-111-1-11111-1-1111-1-1-1-1-11-1-1-11-1-111-1-1-1-111-1-11111-1-1-1-11111-1
χ911-111-111111-1-1-1111-11-1-1-1-1-111-11-11-111-11-1-11-11-11-11-11-111-1-1111-11-11-1-1
χ1011-111-111111-1-1-1111-11-1-1-1-1-111-11-11-111-11-1-11-1-111-1-111-111-1-1-1-1-11-11-111
χ1111-111-111111-1-1-1111-11-1-1-1-1-11-11-111-111-11-1-1-111-1-111-1-11-1-111-1-11-11-1-111
χ1211-111-111111-1-1-1111-11-1-1-1-1-11-11-111-111-11-1-1-11-11-11-11-11-1-11111-11-111-1-1
χ1311-111-1111-111-1-1-1-11-11-111-1-111-11-1-1-1-1-11111-111-11-1-111-1-1-111-1-11-1-111-11
χ1411-111-1111-111-1-1-1-11-11-111-1-111-11-1-1-1-1-11111-11-111-11-11-1-1-11111-111-1-11-1
χ1511-111-1111-111-1-1-1-11-11-111-1-11-11-11-1-1-1-111111-11-1-11-11-1111-1-1111-1-11-11-1
χ1611-111-1111-111-1-1-1-11-11-111-1-11-11-11-1-1-1-111111-1-11-111-1-1111-1-1-1-1-111-11-11
χ1722222-2-22202022002-2-2-200-2-2-22-2-2202000-20000002-200-220000000000000
χ1822222-2-22202022002-2-2-200-2-2-2-222-202000-2000000-22002-20000000000000
χ192222-1222-12-122-1-1-1-12-1-1-1-1-1-1222222-1-1-12-1-1-12200-1-100-1-1-1-1-1-1000000000
χ202222-1222-12-122-1-1-1-12-1-1-1-1-1-12-2-2-2-22-1-1-12-1-1-1-2-2001100111111000000000
χ212222-1222-1-2-1-22-111-12-1-111-1-122222-2-111-2-111-2-200-1-100-1-11111000000000
χ222222-1222-1-2-1-22-111-12-1-111-1-12-2-2-2-2-2-111-2-1112200110011-1-1-1-1000000000
χ232222-1-2-22-10-102-1−i3i3-1-211−i3i311-22-2-220-1−i3i301−i3i30000-11001-1−i3i3−i3i3000000000
χ242222-1-2-22-10-102-1−i3i3-1-211−i3i311-2-222-20-1−i3i301−i3i300001-100-11i3−i3i3−i3000000000
χ252222-1-2-22-10-102-1i3−i3-1-211i3−i311-22-2-220-1i3−i301i3−i30000-11001-1i3−i3i3−i3000000000
χ262222-1-2-22-10-102-1i3−i3-1-211i3−i311-2-222-20-1i3−i301i3−i300001-100-11−i3i3−i3i3000000000
χ27222-1222-122-12-1222-1-12222-1-1-10000-1-1-1-1-1-1-1-10022002200000000-1-1-1-1000
χ28222-1222-122-12-1222-1-12222-1-1-10000-1-1-1-1-1-1-1-100-2-200-2-2000000001111000
χ29222-1222-12-2-1-2-12-2-2-1-122-2-2-1-1-100001-1111-111002200-2-200000000-1-111000
χ30222-1222-12-2-1-2-12-2-2-1-122-2-2-1-1-100001-1111-11100-2-200220000000011-1-1000
χ3122-2222-222020-2-20022-220022-222-2-20-2000-20000002200-2-20000000000000
χ3222-2222-222020-2-20022-220022-2-2-2220-2000-2000000-2-200220000000000000
χ3322-22-12-22-10-10-21−i3i3-121-1i3−i3-1-1-222-2-201−i3i301i3−i30000-1-10011−i3i3i3−i3000000000
χ3422-22-12-22-10-10-21−i3i3-121-1i3−i3-1-1-2-2-22201−i3i301i3−i300001100-1-1i3−i3−i3i3000000000
χ3522-22-12-22-10-10-21i3−i3-121-1−i3i3-1-1-222-2-201i3−i301−i3i30000-1-10011i3−i3−i3i3000000000
χ3622-22-12-22-10-10-21i3−i3-121-1−i3i3-1-1-2-2-22201i3−i301−i3i300001100-1-1−i3i3i3−i3000000000
χ3722-22-1-222-12-1-2-21-1-1-1-2-11111122-22-221-1-1-2-1112-200-1100-11-1-111000000000
χ3822-22-1-222-12-1-2-21-1-1-1-2-1111112-22-2221-1-1-2-111-22001-1001-111-1-1000000000
χ3922-22-1-222-1-2-12-2111-1-2-11-1-11122-22-2-21112-1-1-1-2200-1100-1111-1-1000000000
χ4022-22-1-222-1-2-12-2111-1-2-11-1-1112-22-22-21112-1-1-12-2001-1001-1-1-111000000000
χ4122-2-12-22-122-1-21-222-112-2-2-211-10000-11-1-11-111002-2002-200000000-11-11000
χ4222-2-12-22-122-1-21-222-112-2-2-211-10000-11-1-11-11100-2200-22000000001-11-1000
χ4322-2-12-22-12-2-121-2-2-2-112-22211-100001111-1-1-1-1002-200-2200000000-111-1000
χ4422-2-12-22-12-2-121-2-2-2-112-22211-100001111-1-1-1-100-22002-2000000001-1-11000
χ45444-24-4-4-240-20-2400-22-4-40022200000-200020000000000000000000000000
χ46444-2-244-2-2414-2-2-2-21-2-2-2-2-211-20000-2111-211100000000000000000000000
χ47444-2-244-2-2-41-4-2-2221-2-2-22211-2000021-1-121-1-100000000000000000000000
χ48444-2-2-4-4-2-2010-2-2−2i32i31222−2i32i3-1-12000001i3−i30-1i3−i300000000000000000000000
χ49444-2-2-4-4-2-2010-2-22i3−2i312222i3−2i3-1-12000001−i3i30-1−i3i300000000000000000000000
χ5044-4-244-4-240-202-400-2-2-4400-2-2200000200020000000000000000000000000
χ5144-4-2-24-4-2-201022−2i32i31-22-22i3−2i311200000-1i3−i30-1−i3i300000000000000000000000
χ5244-4-2-24-4-2-2010222i3−2i31-22-2−2i32i311200000-1−i3i30-1i3−i300000000000000000000000
χ5344-4-2-2-44-2-241-422-2-212-2222-1-1-20000-2-11121-1-100000000000000000000000
χ5444-4-2-2-44-2-2-414222212-22-2-2-1-1-200002-1-1-1-211100000000000000000000000
χ554-404400-4-40400000-4000000000000000000000000000000000022−220000000
χ564-404400-4-40400000-40000000000000000000000000000000000−22220000000
χ578-808-400-840-40000040000000000000000000000000000000000000000000
χ588-80-48004-80-40000040000000000000000000000000000000000000000000
χ598-80-4-400440200000-2000006i−6i000000000000000000000000000000000000
χ608-80-4-400440200000-200000−6i6i000000000000000000000000000000000000

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