Finite Group Databasebeta

← Group #11723016

Character table — Group #11723016

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222224444444444446688881212121212121212121212121212121212121212121212121212181836363636363636365454
order122233366666666633366666666644366644121212121212121212121212121212121212121212121212444412121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-111-1-1111111-1-111111111-1-1-1-1-1-1-1111-1-1-1-1-1-1
χ31111111111111111111111111111111111-11-1-11111-1-111111111-1-1-1-11111-1-11-1-1-111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ51111111111111111111111111111-1-11111111111-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-111-1-1
χ61111111111111111111111111111-1-111111-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-111-1-111
χ71111111111111111111111111111-1-11111-11-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1111-1-1-1-111
χ81111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ9222222-122-122-1-1222-1-122-1-1-1-12-1-122-1-1-1-1202200-1-1-1-12200-1-1-1-1-1-1-1-100000002-1-1000000
χ10222222-122-122-1-1222-1-122-1-1-1-12-1-122-1-1-1-1-20-2-200-1-1112200-1-1-1-111110000000-211000000
χ11222222-122-122-1-1222-1-122-1-1-1-12-1-1-2-2-1-1-1-120220011-1-1-2-2001111-1-1-1-10000000-211000000
χ12222222-122-122-1-1222-1-122-1-1-1-12-1-1-2-2-1-1-1-1-20-2-2001111-2-2001111111100000002-1-1000000
χ1322222-122-122-1222-1-12-1-1-122-1-1-12-100-1-1-1-122-1-122002200-1-10000-1-1-1-1-1-1-1-122000000-1-100
χ1422222-122-122-1222-1-12-1-1-122-1-1-12-100-1-1-1-12-2-1-1-2-2002200110000-1-1-1-11111-2-20000001100
χ1522222-122-122-1222-1-12-1-1-122-1-1-12-100-1-1-1-1-22112200-2-200-1-100001111-1-1-1-1-2-20000001100
χ1622222-122-122-1222-1-12-1-1-122-1-1-12-100-1-1-1-1-2-211-2-200-2-2001100001111111122000000-1-100
χ172222-122-122-1222-12-1-12-1-1-1-122-1-1222-1-1-1-10200-1-12200-1-122-1-1-1-10000-1-1-1-1002000-1-10000
χ182222-122-122-1222-12-1-12-1-1-1-122-1-1222-1-1-1-10-200112200-1-1-2-2-1-1-1-10000111100-2000110000
χ192222-122-122-1222-12-1-12-1-1-1-122-1-12-2-2-1-1-1-10200-1-1-2-200112211110000-1-1-1-100-2000110000
χ202222-122-122-1222-12-1-12-1-1-1-122-1-12-2-2-1-1-1-10-20011-2-20011-2-2111100001111002000-1-10000
χ2122-2-2222-2-2-2-222-22-22222-2-2-2-2-2-2220022-2-2000000000000000000000000002i−2i0000002i−2i00
χ2222-2-2222-2-2-2-222-22-22222-2-2-2-2-2-2220022-2-200000000000000000000000000−2i2i000000−2i2i00
χ2322-2-22-12-21-2-2-12-221-12-1-11-2-21112-100-1-11100−i3i3000000003−30000−i3−i3i3i333−3−32i−2i000000−ii00
χ2422-2-22-12-21-2-2-12-221-12-1-11-2-21112-100-1-11100−i3i300000000−330000−i3−i3i3i3−3−333−2i2i000000i−i00
χ2522-2-22-12-21-2-2-12-221-12-1-11-2-21112-100-1-11100i3−i3000000003−30000i3i3−i3−i333−3−3−2i2i000000i−i00
χ2622-2-22-12-21-2-2-12-221-12-1-11-2-21112-100-1-11100i3−i300000000−330000i3i3−i3−i3−3−3332i−2i000000−ii00
χ272-22-2222-2-2-22-2-22-22222-2-22-22-22-2-22i−2i2-22-20000002i−2i002i−2i002i2i−2i−2i00000000000000000000
χ282-22-2222-2-2-22-2-22-22222-2-22-22-22-2-2−2i2i2-22-2000000−2i2i00−2i2i00−2i−2i2i2i00000000000000000000
χ292-22-222-1-2-212-21-1-222-1-1-2-2-11-112112i−2i-11-11000000−ii3−32i−2i00−i−iii3−33−300000000−i3i3000000
χ302-22-222-1-2-212-21-1-222-1-1-2-2-11-112112i−2i-11-11000000−ii−332i−2i00−i−iii−33−3300000000i3−i3000000
χ312-22-222-1-2-212-21-1-222-1-1-2-2-11-11211−2i2i-11-11000000i−i3−3−2i2i00ii−i−i3−33−300000000i3−i3000000
χ322-22-222-1-2-212-21-1-222-1-1-2-2-11-11211−2i2i-11-11000000i−i−33−2i2i00ii−i−i−33−3300000000−i3i3000000
χ332-22-2-1221-2-2-1-2-2212-1-1211-112-2-11-22i−2i-11-110000−i3i32i−2i00−ii00−i−iii0000−i3i3−i3i30000003−30000
χ342-22-2-1221-2-2-1-2-2212-1-1211-112-2-11-22i−2i-11-110000i3−i32i−2i00−ii00−i−iii0000i3−i3i3−i3000000−330000
χ352-22-2-1221-2-2-1-2-2212-1-1211-112-2-11-2−2i2i-11-110000−i3i3−2i2i00i−i00ii−i−i0000−i3i3−i3i3000000−330000
χ362-22-2-1221-2-2-1-2-2212-1-1211-112-2-11-2−2i2i-11-110000i3−i3−2i2i00i−i00ii−i−i0000i3−i3i3−i30000003−30000
χ372-2-22222222-2-2-2-2-2-2222-22-22-22-2-2-2002-2-220000000000000000000000000000000000002-2
χ382-2-22222222-2-2-2-2-2-2222-22-22-22-2-2-2002-2-22000000000000000000000000000000000000-22
χ3944444-2-24-2-24-2-2-24-2-2-21-2-2-2-211-2-2100111140-2-20000-2-20000000011110000000000000000
χ4044444-2-24-2-24-2-2-24-2-2-21-2-2-2-211-2-21001111-402200002200000000-1-1-1-10000000000000000
χ414444-24-2-24-2-24-2-2-24-21-2-2-211-2-2-21-2441111000000-2-200-2-200111100000000000000000000
χ424444-24-2-24-2-24-2-2-24-21-2-2-211-2-2-21-2-4-4111100000022002200-1-1-1-100000000000000000000
χ434444-2-24-2-24-2-244-2-21-2-211-2-2-2-21-2-20011110400-2-2000000-2-2000000001111000000000000
χ444444-2-24-2-24-2-244-2-21-2-211-2-2-2-21-2-20011110-400220000002200000000-1-1-1-1000000000000
χ4544-4-444-2-4-42-44-224-44-2-24-42222-4-2-200-2-22200000000000000000000000000000000000000
χ4644-4-44-2-2-422-4-2-2242-2-21-2222-1-12-210011-1-100−2i32i300000000000000i3i3−i3−i30000000000000000
χ4744-4-44-2-2-422-4-2-2242-2-21-2222-1-12-210011-1-1002i3−2i300000000000000−i3−i3i3i30000000000000000
χ4844-4-4-2442-4-4244-4-2-4-2-24-2222-4-42-2400-2-22200000000000000000000000000000000000000
χ4944-4-4-24-22-4224-22-2-4-21-2-22-1-12221-20011-1-1000000000000003-33-300000000000000000000
χ5044-4-4-24-22-4224-22-2-4-21-2-22-1-12221-20011-1-100000000000000-33-3300000000000000000000
χ5144-4-4-2-2422-42-24-4-221-2-21-12222-1-2-20011-1-100000000000023−2300000000−3−333000000000000
χ5244-4-4-2-2422-42-24-4-221-2-21-12222-1-2-20011-1-1000000000000−23230000000033−3−3000000000000
χ534-44-44-24-42-442-44-4-2-24-2224-4-22-2-4200-22-2200000000000000000000000000000000000000
χ544-44-44-2-2-422422-2-4-2-2-2122-221-1-22-1001-11-10000000023−2300000000−33−330000000000000000
χ554-44-44-2-2-422422-2-4-2-2-2122-221-1-22-1001-11-100000000−2323000000003−33−30000000000000000
χ564-44-4-24-22-42-2-42-224-21-2221-1-22-2-124i−4i1-11-1000000−2i2i00−2i2i00ii−i−i00000000000000000000
χ574-44-4-24-22-42-2-42-224-21-2221-1-22-2-12−4i4i1-11-10000002i−2i002i−2i00−i−iii00000000000000000000
χ584-44-4-2-2422-4-22-442-21-2-2-1-1-22-22122001-11-10000−2i32i30000000000000000i3−i3i3−i3000000000000
χ594-44-4-2-2422-4-22-442-21-2-2-1-1-22-22122001-11-100002i3−2i30000000000000000−i3i3−i3i3000000000000
χ604-4-4444-244-2-4-422-4-44-2-2-442-22-2-42200-222-200000000000000000000000000000000000000
χ614-4-444-244-24-42-4-4-42-24-22-2-442-22-4200-222-200000000000000000000000000000000000000
χ624-4-444-2-24-2-2-4222-42-2-212-22-2-1122-1001-1-110000000000000000003i−3i−3i3i0000000000000000
χ634-4-444-2-24-2-2-4222-42-2-212-22-2-1122-1001-1-11000000000000000000−3i3i3i−3i0000000000000000
χ644-4-44-244-2442-4-4-42-4-2-242-22-2-4422-400-222-200000000000000000000000000000000000000
χ654-4-44-24-2-24-22-4222-4-21-22-2-112-22-12001-1-11000000000000003i−3i−3i3i00000000000000000000
χ664-4-44-24-2-24-22-4222-4-21-22-2-112-22-12001-1-1100000000000000−3i3i3i−3i00000000000000000000
χ674-4-44-2-24-2-2422-4-4221-2-2-112-22-2-122001-1-1100000000000000000000003i−3i−3i3i000000000000
χ684-4-44-2-24-2-2422-4-4221-2-2-112-22-2-122001-1-110000000000000000000000−3i3i3i−3i000000000000
χ698888-4-4-4-4-4-4-4-4-4-4-4-422222222222200-1-1-1-100000000000000000000000000000000000000
χ7088-8-8-4-4-44444-4-44-442222-2-2-2-2-2-22200-1-11100000000000000000000000000000000000000
χ718-88-8-4-4-4444-444-44-4222-2-22-22-22-2-200-11-1100000000000000000000000000000000000000
χ728-8-88-4-4-4-4-4-4444444222-22-22-22-2-2-200-111-100000000000000000000000000000000000000

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