Finite Group Databasebeta

← Group #11722982

Character table — Group #11722982

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222224444444444446688881212121212121212121212121212121212121212121212121212181836363636363636365454
order122233366666666633366666666644366644121212121212121212121212121212121212121212121212444412121212121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-111-1-111-1-1111111111111-1-1-1-1-1-11-1-1-111-1-1-1-1
χ31111111111111111111111111111111111-11-1-111-1-11111111111-1-1-1-11111-1-1-11-1-1-1-111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ51111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1
χ61111111111111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-11111
χ71111111111111111111111111111-1-11111-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-111-1-111
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
χ9222222-122-122-1-1222-1-122-1-1-1-12-1-100-1-1-1-1222222-1-1-1-100000000-1-1-1-1-1-1-1-12200-1-1000000
χ10222222-122-122-1-1222-1-122-1-1-1-12-1-100-1-1-1-12-222-2-2-1-11100000000-1-1-1-11111-2-20011000000
χ11222222-122-122-1-1222-1-122-1-1-1-12-1-100-1-1-1-1-22-2-22211-1-1000000001111-1-1-1-1-2-20011000000
χ12222222-122-122-1-1222-1-122-1-1-1-12-1-100-1-1-1-1-2-2-2-2-2-2111100000000111111112200-1-1000000
χ1322222-122-122-1222-1-12-1-1-122-1-1-12-122-1-1-1-10200-1-1002222-1-1-1-1-1-10000-1-1-1-100020000-1-100
χ1422222-122-122-1222-1-12-1-1-122-1-1-12-122-1-1-1-10-2001100-2-222-1-1-1-1-1-100001111000-200001100
χ1522222-122-122-1222-1-12-1-1-122-1-1-12-1-2-2-1-1-1-10200-1-10022-2-21111110000-1-1-1-1000-200001100
χ1622222-122-122-1222-1-12-1-1-122-1-1-12-1-2-2-1-1-1-10-2001100-2-2-2-21111110000111100020000-1-100
χ172222-122-122-1222-12-1-12-1-1-1-122-1-1222-1-1-1-120-1-1002200-1-122-1-1-1-1-1-1-1-10000002000-1-10000
χ182222-122-122-1222-12-1-12-1-1-1-122-1-1222-1-1-1-1-201100-2-200-1-122-1-1-1-11111000000-2000110000
χ192222-122-122-1222-12-1-12-1-1-1-122-1-12-2-2-1-1-1-120-1-100220011-2-21111-1-1-1-1000000-2000110000
χ202222-122-122-1222-12-1-12-1-1-1-122-1-12-2-2-1-1-1-1-201100-2-20011-2-2111111110000002000-1-10000
χ2122-2-2222222-2-2-2-2-2-22222-22-22-2-2-2-20022-2-20000000000000000000000000000000000002-2
χ2222-2-2222222-2-2-2-2-2-22222-22-22-2-2-2-20022-2-2000000000000000000000000000000000000-22
χ232-22-2222-2-2-2222-2-2-2222-22-2-2-2-2-2222i−2i2-22-200000000002i−2i2i−2i2i2i−2i−2i00000000000000000000
χ242-22-2222-2-2-2222-2-2-2222-22-2-2-2-2-222−2i2i2-22-20000000000−2i2i−2i2i−2i−2i2i2i00000000000000000000
χ252-22-22-12-21-22-12-2-21-12-11-1-2-21112-12i−2i-11-110000−i3i300002i−2i−ii−i−iii0000−i3−i3i3i3000000003−300
χ262-22-22-12-21-22-12-2-21-12-11-1-2-21112-12i−2i-11-110000i3−i300002i−2i−ii−i−iii0000i3i3−i3−i300000000−3300
χ272-22-22-12-21-22-12-2-21-12-11-1-2-21112-1−2i2i-11-110000−i3i30000−2i2ii−iii−i−i0000−i3−i3i3i300000000−3300
χ282-22-22-12-21-22-12-2-21-12-11-1-2-21112-1−2i2i-11-110000i3−i30000−2i2ii−iii−i−i0000i3i3−i3−i3000000003−300
χ292-22-2-1221-2-2-122-21-2-1-121-111-2-21-122i−2i-11-1100−i3i3000000−ii2i−2i−i−iii−i3−i3i3i300000000003−30000
χ302-22-2-1221-2-2-122-21-2-1-121-111-2-21-122i−2i-11-1100i3−i3000000−ii2i−2i−i−iiii3i3−i3−i30000000000−330000
χ312-22-2-1221-2-2-122-21-2-1-121-111-2-21-12−2i2i-11-1100−i3i3000000i−i−2i2iii−i−i−i3−i3i3i30000000000−330000
χ322-22-2-1221-2-2-122-21-2-1-121-111-2-21-12−2i2i-11-1100i3−i3000000i−i−2i2iii−i−ii3i3−i3−i300000000003−30000
χ332-2-22222-2-2-2-2-2-2222222-2-2-22-222-2-2002-2-22000000000000000000000000002-2002-2000000
χ342-2-22222-2-2-2-2-2-2222222-2-2-22-222-2-2002-2-2200000000000000000000000000-2200-22000000
χ352-2-2222-1-2-21-2-21-1222-1-1-2-21-11-121100-111-10000003−33−3000000003−33−33−33−32-200-11000000
χ362-2-2222-1-2-21-2-21-1222-1-1-2-21-11-121100-111-10000003−3−33000000003−33−3−33−33-22001-1000000
χ372-2-2222-1-2-21-2-21-1222-1-1-2-21-11-121100-111-1000000−333−300000000−33−333−33−3-22001-1000000
χ382-2-2222-1-2-21-2-21-1222-1-1-2-21-11-121100-111-1000000−33−3300000000−33−33−33−332-200-11000000
χ3944444-2-24-2-24-2-2-24-2-2-21-2-2-2-211-2-210011110400-2-200-2-20000000000001111000000000000
χ4044444-2-24-2-24-2-2-24-2-2-21-2-2-2-211-2-210011110-400220022000000000000-1-1-1-1000000000000
χ414444-24-2-24-2-24-2-2-24-21-2-2-211-2-2-21-200111140-2-200-2-2000000000011110000000000000000
χ424444-24-2-24-2-24-2-2-24-21-2-2-211-2-2-21-2001111-402200220000000000-1-1-1-10000000000000000
χ434444-2-24-2-24-2-244-2-21-2-211-2-2-2-21-2-24411110000000000-2-2-2-2111100000000000000000000
χ444444-2-24-2-24-2-244-2-21-2-211-2-2-2-21-2-2-4-4111100000000002222-1-1-1-100000000000000000000
χ4544-4-444-244-2-4-422-4-44-2-24-4-22-22-42200-2-22200000000000000000000000000000000000000
χ4644-4-44-244-24-42-4-4-42-24-2-224-4-222-4200-2-22200000000000000000000000000000000000000
χ4744-4-44-2-24-2-2-4222-42-2-21-22-221-122-10011-1-100000000000000000000003i−3i−3i3i000000000000
χ4844-4-44-2-24-2-2-4222-42-2-21-22-221-122-10011-1-10000000000000000000000−3i3i3i−3i000000000000
χ4944-4-4-244-2442-4-4-42-4-2-24-22-224-422-400-2-22200000000000000000000000000000000000000
χ5044-4-4-24-2-24-22-4222-4-21-2-221-1-222-120011-1-10000000000000000003i−3i−3i3i0000000000000000
χ5144-4-4-24-2-24-22-4222-4-21-2-221-1-222-120011-1-1000000000000000000−3i3i3i−3i0000000000000000
χ5244-4-4-2-24-2-2422-4-4221-2-21-1-22-22-1220011-1-1000000000000003i−3i3i−3i00000000000000000000
χ5344-4-4-2-24-2-2422-4-4221-2-21-1-22-22-1220011-1-100000000000000−3i3i−3i3i00000000000000000000
χ544-44-444-2-4-4244-22-4-44-2-2-442222-4-2-200-22-2200000000000000000000000000000000000000
χ554-44-44-2-2-4224-2-22-42-2-212-222-1-12-21001-11-10000−2i32i30000000000000000i3i3−i3−i3000000000000
χ564-44-44-2-2-4224-2-22-42-2-212-222-1-12-21001-11-100002i3−2i30000000000000000−i3−i3i3i3000000000000
χ574-44-4-24-22-42-24-222-4-21-22-2-1-12221-2001-11-100−2i32i300000000000000i3i3−i3−i30000000000000000
χ584-44-4-24-22-42-24-222-4-21-22-2-1-12221-2001-11-1002i3−2i300000000000000−i3−i3i3i30000000000000000
χ594-44-4-2-2422-4-2-24-4221-2-2-112222-1-2-24i−4i1-11-10000000000−2i2i−2i2iii−i−i00000000000000000000
χ604-44-4-2-2422-4-2-24-4221-2-2-112222-1-2-2−4i4i1-11-100000000002i−2i2i−2i−i−iii00000000000000000000
χ614-4-444-24-42-4-42-444-2-24-222-442-2-2-4200-222-200000000000000000000000000000000000000
χ624-4-444-2-2-422-422-24-2-2-21222-2-11-22-1001-1-110000000023−23000000000000−33−33000000000000
χ634-4-444-2-2-422-422-24-2-2-21222-2-11-22-1001-1-1100000000−23230000000000003−33−3000000000000
χ644-4-44-2442-4-42-4-44-24-2-24222-2-44-22-400-222-200000000000000000000000000000000000000
χ654-4-44-24-22-422-42-2-24-21-222-112-2-2-12001-1-1100000023−230000000000−33−330000000000000000
χ664-4-44-24-22-422-42-2-24-21-222-112-2-2-12001-1-11000000−232300000000003−33−30000000000000000
χ674-4-44-2-2422-422-44-2-21-2-2-1-12-22-2122001-1-11000000000000003-3-3300000000000000000000
χ684-4-44-2-2422-422-44-2-21-2-2-1-12-22-2122001-1-1100000000000000-333-300000000000000000000
χ698888-4-4-4-4-4-4-4-4-4-4-4-422222222222200-1-1-1-100000000000000000000000000000000000000
χ7088-8-8-4-4-4-4-4-44444442222-22-22-2-2-2-200-1-11100000000000000000000000000000000000000
χ718-88-8-4-4-4444-4-4-4444222-22-2-2-2-2-22200-11-1100000000000000000000000000000000000000
χ728-8-88-4-4-4444444-4-4-4222-2-2-22-222-2-200-111-100000000000000000000000000000000000000

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