Finite Group Databasebeta

← Group #11723032

Character table — Group #11723032

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222224444444444446688881212121212121212121212121212121212121212121212121212181836363636363636365454
order122233366666666633366666666644366644121212121212121212121212121212121212121212121212444412121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-111-1-1111111-1-111111111-1-1-1-1-1-11-1-1-111-1-1-1-1
χ31111111111111111111111111111111111-11-1-1111111-1-1111111-1-1-1-11111-1-1-11-1-1-1-111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ51111111111111111111111111111-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-1
χ61111111111111111111111111111-1-111111-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-11111
χ71111111111111111111111111111-1-11111-11-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11-1-1-111-1-111
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
χ9222222-12222-1-1-1222-1-122-1-1-1-12-1-100-1-1-1-122-1-1-1-1000022220000-1-1-1-1-1-1-1-12200-1-1000000
χ10222222-12222-1-1-1222-1-122-1-1-1-12-1-100-1-1-1-12-2-1-111000022-2-20000-1-1-1-11111-2-20011000000
χ11222222-12222-1-1-1222-1-122-1-1-1-12-1-100-1-1-1-1-2211-1-10000-2-22200001111-1-1-1-1-2-20011000000
χ12222222-12222-1-1-1222-1-122-1-1-1-12-1-100-1-1-1-1-2-211110000-2-2-2-20000111111112200-1-1000000
χ1322222-1222-1-12222-1-12-1-1-122-1-1-12-122-1-1-1-102002222-1-100-1-1-1-1-1-10000-1-1-1-100020000-1-100
χ1422222-1222-1-12222-1-12-1-1-122-1-1-12-122-1-1-1-10-200-2-222-1-10011-1-1-1-100001111000-200001100
χ1522222-1222-1-12222-1-12-1-1-122-1-1-12-1-2-2-1-1-1-1020022-2-21100-1-111110000-1-1-1-1000-200001100
χ1622222-1222-1-12222-1-12-1-1-122-1-1-12-1-2-2-1-1-1-10-200-2-2-2-211001111110000111100020000-1-100
χ172222-122-1-122222-12-1-12-1-1-1-122-1-1222-1-1-1-1202200-1-122-1-100-1-1-1-1-1-1-1-10000002000-1-10000
χ182222-122-1-122222-12-1-12-1-1-1-122-1-1222-1-1-1-1-20-2-200-1-1221100-1-1-1-11111000000-2000110000
χ192222-122-1-122222-12-1-12-1-1-1-122-1-12-2-2-1-1-1-120220011-2-2-1-1001111-1-1-1-1000000-2000110000
χ202222-122-1-122222-12-1-12-1-1-1-122-1-12-2-2-1-1-1-1-20-2-20011-2-21100111111110000002000-1-10000
χ2122-2-22222-22-2-2-22-2-22222-22-22-2-2-2-20022-2-2000000000000000000000000002-2002-2000000
χ2222-2-22222-22-2-2-22-2-22222-22-22-2-2-2-20022-2-200000000000000000000000000-2200-22000000
χ2322-2-222-12-22-211-1-2-22-1-12-2-11-11-21100-1-111003−33−300000000000033−3−333−3−32-200-11000000
χ2422-2-222-12-22-211-1-2-22-1-12-2-11-11-21100-1-111003−3−3300000000000033−3−3−3−333-22001-1000000
χ2522-2-222-12-22-211-1-2-22-1-12-2-11-11-21100-1-11100−333−3000000000000−3−33333−3−3-22001-1000000
χ2622-2-222-12-22-211-1-2-22-1-12-2-11-11-21100-1-11100−33−33000000000000−3−333−3−3332-200-11000000
χ272-22-2222-22-222-2-2-2-2222-22-22-22-2-2-2002-22-20000000000000000000000000000000000002-2
χ282-22-2222-22-222-2-2-2-2222-22-22-22-2-2-2002-22-2000000000000000000000000000000000000-22
χ292-2-22222-2-2-2-2-22-222222-2-2-2-2-2-22222-22-2-220000002-22-2000022-2-200000000000000000000
χ302-2-22222-2-2-2-2-22-222222-2-2-2-2-2-2222-222-2-22000000-22-220000-2-22200000000000000000000
χ312-2-222-12-2-211-22-22-1-12-111-2-211-12-12-2-111-10000002-2-1100−i3i3-1-1110000−i3i3−i3i300000000−i3i300
χ322-2-222-12-2-211-22-22-1-12-111-2-211-12-12-2-111-10000002-2-1100i3−i3-1-1110000i3−i3i3−i300000000i3−i300
χ332-2-222-12-2-211-22-22-1-12-111-2-211-12-1-22-111-1000000-221-100−i3i311-1-10000−i3i3−i3i300000000i3−i300
χ342-2-222-12-2-211-22-22-1-12-111-2-211-12-1-22-111-1000000-221-100i3−i311-1-10000i3−i3i3−i300000000−i3i300
χ352-2-22-12211-2-2-22-2-12-1-121111-2-2-1-122-2-111-1000000-112-2−i3i300-1-111−i3i3−i3i30000000000−i3i30000
χ362-2-22-12211-2-2-22-2-12-1-121111-2-2-1-122-2-111-1000000-112-2i3−i300-1-111i3−i3i3−i30000000000i3−i30000
χ372-2-22-12211-2-2-22-2-12-1-121111-2-2-1-12-22-111-10000001-1-22−i3i30011-1-1−i3i3−i3i30000000000i3−i30000
χ382-2-22-12211-2-2-22-2-12-1-121111-2-2-1-12-22-111-10000001-1-22i3−i30011-1-1i3−i3i3−i30000000000−i3i30000
χ3944444-2-244-2-2-2-2-24-2-2-21-2-2-2-211-2-210011110400-2-2000000-2-2000000001111000000000000
χ4044444-2-244-2-2-2-2-24-2-2-21-2-2-2-211-2-210011110-400220000002200000000-1-1-1-1000000000000
χ414444-24-2-2-244-2-2-2-24-21-2-2-211-2-2-21-200111140-2-2000000-2-200000011110000000000000000
χ424444-24-2-2-244-2-2-2-24-21-2-2-211-2-2-21-2001111-402200000022000000-1-1-1-10000000000000000
χ434444-2-24-2-2-2-2444-2-21-2-211-2-2-2-21-2-2441111000000-2-2-2-20000111100000000000000000000
χ444444-2-24-2-2-2-2444-2-21-2-211-2-2-2-21-2-2-4-4111100000022220000-1-1-1-100000000000000000000
χ4544-4-44-244-4-22-4-44-42-24-2-224-4-222-4200-2-22200000000000000000000000000000000000000
χ4644-4-44-2-24-4-2222-2-42-2-21-22-221-122-10011-1-1000023−230000000000000000−3−333000000000000
χ4744-4-44-2-24-4-2222-2-42-2-21-22-221-122-10011-1-10000−2323000000000000000033−3−3000000000000
χ4844-4-4-244-224-4-4-442-4-2-24-22-224-422-400-2-22200000000000000000000000000000000000000
χ4944-4-4-24-2-224-422-22-4-21-2-221-1-222-120011-1-10023−2300000000000000−3−3330000000000000000
χ5044-4-4-24-2-224-422-22-4-21-2-221-1-222-120011-1-100−23230000000000000033−3−30000000000000000
χ5144-4-4-2-24-22-22-4-44221-2-21-1-22-22-1220011-1-1000000000000003i−3i3i−3i00000000000000000000
χ5244-4-4-2-24-22-22-4-44221-2-21-1-22-22-1220011-1-100000000000000−3i3i−3i3i00000000000000000000
χ534-44-444-2-44-44-222-4-44-2-2-442-22-2-42200-22-2200000000000000000000000000000000000000
χ544-44-44-24-442-24-4-4-42-24-22-2-442-22-4200-22-2200000000000000000000000000000000000000
χ554-44-44-2-2-442-2-222-42-2-212-22-2-1122-1001-11-100000000000000000000003i−3i−3i3i000000000000
χ564-44-44-2-2-442-2-222-42-2-212-22-2-1122-1001-11-10000000000000000000000−3i3i3i−3i000000000000
χ574-44-4-2442-2-444-4-42-4-2-242-22-2-4422-400-22-2200000000000000000000000000000000000000
χ584-44-4-24-22-2-44-2222-4-21-22-2-112-22-12001-11-10000000000000000003i−3i−3i3i0000000000000000
χ594-44-4-24-22-2-44-2222-4-21-22-2-112-22-12001-11-1000000000000000000−3i3i3i−3i0000000000000000
χ604-44-4-2-242-22-24-4-4221-2-2-112-22-2-122001-11-1000000000000003i−3i−3i3i00000000000000000000
χ614-44-4-2-242-22-24-4-4221-2-2-112-22-2-122001-11-100000000000000−3i3i3i−3i00000000000000000000
χ624-4-4444-2-4-4-4-42-22444-2-2-4-422224-2-200-222-200000000000000000000000000000000000000
χ634-4-444-2-2-4-4222-224-2-2-212222-1-1-2-21001-1-11000000000000−2i32i300000000i3−i3i3−i3000000000000
χ644-4-444-2-2-4-4222-224-2-2-212222-1-1-2-21001-1-110000000000002i3−2i300000000−i3i3−i3i3000000000000
χ654-4-44-24-222-4-42-22-24-21-222-1-122-21-2001-1-110000000000−2i32i3000000i3−i3i3−i30000000000000000
χ664-4-44-24-222-4-42-22-24-21-222-1-122-21-2001-1-1100000000002i3−2i3000000−i3i3−i3i30000000000000000
χ674-4-44-2-242222-44-4-2-21-2-2-1-122221-2-24-41-1-11000000-22-22000011-1-100000000000000000000
χ684-4-44-2-242222-44-4-2-21-2-2-1-122221-2-2-441-1-110000002-22-20000-1-11100000000000000000000
χ698888-4-4-4-4-4-4-4-4-4-4-4-422222222222200-1-1-1-100000000000000000000000000000000000000
χ7088-8-8-4-4-4-44-4444-4442222-22-22-2-2-2-200-1-11100000000000000000000000000000000000000
χ718-88-8-4-4-44-44-4-44444222-22-22-22-2-2-200-11-1100000000000000000000000000000000000000
χ728-8-88-4-4-444444-44-4-4222-2-2-2-2-2-222200-111-100000000000000000000000000000000000000

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