Finite Group Databasebeta

← Group #11722953

Character table — Group #11722953

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222224444444444446688881212121212121212121212121212121212121212121212121212181836363636363636365454
order122233366666666633366666666622366622666666666666666666666666444412121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-111111111-1-1-1-111111111-1-1-1-1-1-11-111-1-1-1-1-1-1
χ31111111111111111111111111111111111-111111-1-1-1-111111111-1-1-1-11111-1-1-11-1-111-1-1-1-1
χ41111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1111111-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1
χ61111111111111111111111111111-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-111-1-111
χ71111111111111111111111111111-1-11111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-111-1-1-1-111
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
χ9222222-12222-1-122-12-1-1222-1-1-1-1-1-100-1-1-1-122000022-1-122-1-10000-1-1-1-1-1-1-1-122000000-1-100
χ10222222-12222-1-122-12-1-1222-1-1-1-1-1-100-1-1-1-12-2000022-1-1-2-2110000-1-1-1-11111-2-20000001100
χ11222222-12222-1-122-12-1-1222-1-1-1-1-1-100-1-1-1-1-220000-2-21122-1-100001111-1-1-1-1-2-20000001100
χ12222222-12222-1-122-12-1-1222-1-1-1-1-1-100-1-1-1-1-2-20000-2-211-2-21100001111111122000000-1-100
χ1322222-1222-1-1222-12-12-1-1-1-1222-1-1-122-1-1-1-10222-1-10000-1-122-1-1-1-10000-1-1-1-1000200-1-10000
χ1422222-1222-1-1222-12-12-1-1-1-1222-1-1-122-1-1-1-10-222-1-1000011-2-2-1-1-1-100001111000-200110000
χ1522222-1222-1-1222-12-12-1-1-1-1222-1-1-1-2-2-1-1-1-102-2-2110000-1-12211110000-1-1-1-1000-200110000
χ1622222-1222-1-1222-12-12-1-1-1-1222-1-1-1-2-2-1-1-1-10-2-2-211000011-2-2111100001111000200-1-10000
χ172222-122-1-12222-122-1-12-1-1-1-1-1-122222-1-1-1-120-1-122-1-1220000-1-1-1-1-1-1-1-100000020-1-1000000
χ182222-122-1-12222-122-1-12-1-1-1-1-1-122222-1-1-1-1-20-1-12211-2-20000-1-1-1-11111000000-2011000000
χ192222-122-1-12222-122-1-12-1-1-1-1-1-1222-2-2-1-1-1-12011-2-2-1-12200001111-1-1-1-1000000-2011000000
χ202222-122-1-12222-122-1-12-1-1-1-1-1-1222-2-2-1-1-1-1-2011-2-211-2-200001111111100000020-1-1000000
χ2122-2-22222-22-22-2-2-2-22222-2-22-2-22-2-20022-2-20000000000000000000000000000000000002i−2i
χ2222-2-22222-22-22-2-2-2-22222-2-22-2-22-2-20022-2-2000000000000000000000000000000000000−2i2i
χ232-22-2222-2-2-2-2-2222-2222-22-2-22-2-22-22-22-22-2002-22-20000000022-2-200000000000000000000
χ242-22-2222-2-2-2-2-2222-2222-22-2-22-2-22-2-222-22-200-22-2200000000-2-22200000000000000000000
χ252-22-22-12-2-211-222-1-2-12-11-11-22-21-112-2-11-11002-2-110000−i3i300-1-1110000−i3−i3i3i3000000−i3i30000
χ262-22-22-12-2-211-222-1-2-12-11-11-22-21-112-2-11-11002-2-110000i3−i300-1-1110000i3i3−i3−i3000000i3−i30000
χ272-22-22-12-2-211-222-1-2-12-11-11-22-21-11-22-11-1100-221-10000−i3i30011-1-10000−i3−i3i3i3000000i3−i30000
χ282-22-22-12-2-211-222-1-2-12-11-11-22-21-11-22-11-1100-221-10000i3−i30011-1-10000i3i3−i3−i3000000−i3i30000
χ292-22-2-12211-2-2-22-12-2-1-121-111-11-22-22-2-11-1100-112-2−i3i3000000-1-111−i3−i3i3i300000000−i3i3000000
χ302-22-2-12211-2-2-22-12-2-1-121-111-11-22-22-2-11-1100-112-2i3−i3000000-1-111i3i3−i3−i300000000i3−i3000000
χ312-22-2-12211-2-2-22-12-2-1-121-111-11-22-2-22-11-11001-1-22−i3i300000011-1-1−i3−i3i3i300000000i3−i3000000
χ322-22-2-12211-2-2-22-12-2-1-121-111-11-22-2-22-11-11001-1-22i3−i300000011-1-1i3i3−i3−i300000000−i3i3000000
χ332-2-22222-22-22-2-2-2-22222-2-22-2-22-2-22002-2-22000000000000000000000000002-20000002-200
χ342-2-22222-22-22-2-2-2-22222-2-22-2-22-2-22002-2-2200000000000000000000000000-22000000-2200
χ352-2-2222-1-22-2211-2-2-12-1-1-2-2211-111-100-111-100000000−i3i300−i3i30000−i3i3−i3i3−i3i3−i3i32-2000000-1100
χ362-2-2222-1-22-2211-2-2-12-1-1-2-2211-111-100-111-100000000−i3i300i3−i30000−i3i3−i3i3i3−i3i3−i3-220000001-100
χ372-2-2222-1-22-2211-2-2-12-1-1-2-2211-111-100-111-100000000i3−i300−i3i30000i3−i3i3−i3−i3i3−i3i3-220000001-100
χ382-2-2222-1-22-2211-2-2-12-1-1-2-2211-111-100-111-100000000i3−i300i3−i30000i3−i3i3−i3i3−i3i3−i32-2000000-1100
χ3944444-2-244-2-2-2-24-2-2-2-21-2-2-2-2-2-21110011110400000000-2-2-2-2000000001111000000000000
χ4044444-2-244-2-2-2-24-2-2-2-21-2-2-2-2-2-21110011110-400000000222200000000-1-1-1-1000000000000
χ414444-24-2-2-244-2-2-24-2-21-2-2-2-2111-2-2-2001111400000-2-2-2-20000000011110000000000000000
χ424444-24-2-2-244-2-2-24-2-21-2-2-2-2111-2-2-2001111-400000222200000000-1-1-1-10000000000000000
χ434444-2-24-2-2-2-244-2-241-2-2111-2-2-2-2-2-244111100-2-2-2-200000000111100000000000000000000
χ444444-2-24-2-2-2-244-2-241-2-2111-2-2-2-2-2-2-4-4111100222200000000-1-1-1-100000000000000000000
χ4544-4-444-24-44-4-22-4-424-2-24-4-4-222-22200-2-22200000000000000000000000000000000000000
χ4644-4-44-244-4-224-4-42-4-24-2-2224-4-4-22200-2-22200000000000000000000000000000000000000
χ4744-4-44-2-24-4-22-22-422-2-21-222-2221-1-10011-1-100000000000000000000003-3-33000000000000
χ4844-4-44-2-24-4-22-22-422-2-21-222-2221-1-10011-1-10000000000000000000000-333-3000000000000
χ4944-4-4-244-224-44-42-4-4-2-24-222-2224-4-400-2-22200000000000000000000000000000000000000
χ5044-4-4-24-2-224-4-222-42-21-2-2221-1-1-2220011-1-10000000000000000003-3-330000000000000000
χ5144-4-4-24-2-224-4-222-42-21-2-2221-1-1-2220011-1-1000000000000000000-333-30000000000000000
χ5244-4-4-2-24-22-224-422-41-2-21-1-1-222-2220011-1-1000000000000003-33-300000000000000000000
χ5344-4-4-2-24-22-224-422-41-2-21-1-1-222-2220011-1-100000000000000-33-3300000000000000000000
χ544-44-444-2-4-4-4-42-24424-2-2-44-42-222-2200-22-2200000000000000000000000000000000000000
χ554-44-44-2-2-4-4222-24-22-2-212-222-22-11-1001-11-10000000000−2i32i30000000000i3i3−i3−i3000000000000
χ564-44-44-2-2-4-4222-24-22-2-212-222-22-11-1001-11-100000000002i3−2i30000000000−i3−i3i3i3000000000000
χ574-44-4-24-222-4-42-2-242-21-22-22-11-12-22001-11-1000000−2i32i30000000000i3i3−i3−i30000000000000000
χ584-44-4-24-222-4-42-2-242-21-22-22-11-12-22001-11-10000002i3−2i30000000000−i3−i3i3i30000000000000000
χ594-44-4-2-242222-44-2-2-41-2-2-11-12-222-224-41-11-100-22-220000000011-1-100000000000000000000
χ604-44-4-2-242222-44-2-2-41-2-2-11-12-222-22-441-11-1002-22-200000000-1-11100000000000000000000
χ614-4-444-24-442-2-4-4-424-24-222-2-4-4422-200-222-200000000000000000000000000000000000000
χ624-4-444-2-2-442-222-42-2-2-2122-222-2-1-11001-1-11000000000000−2i32i300000000i3−i3i3−i3000000000000
χ634-4-444-2-2-442-222-42-2-2-2122-222-2-1-11001-1-110000000000002i3−2i300000000−i3i3−i3i3000000000000
χ644-4-44-2442-2-44-4-42-44-2-2422-222-2-4-4400-222-200000000000000000000000000000000000000
χ654-4-44-24-22-2-44222-4-2-21-222-2-1-1122-2001-1-1100000000−2i32i300000000i3−i3i3−i30000000000000000
χ664-4-44-24-22-2-44222-4-2-21-222-2-1-1122-2001-1-11000000002i3−2i300000000−i3i3−i3i30000000000000000
χ674-4-44-2-242-22-2-4-42241-2-2-1-1122-222-2001-1-11000000000000003-3-3300000000000000000000
χ684-4-44-2-242-22-2-4-42241-2-2-1-1122-222-2001-1-1100000000000000-333-300000000000000000000
χ698888-4-4-4-4-4-4-4-4-4-4-4-422222222222200-1-1-1-100000000000000000000000000000000000000
χ7088-8-8-4-4-4-44-44-444442222-2-22-2-22-2-200-1-11100000000000000000000000000000000000000
χ718-88-8-4-4-444444-4-4-44222-22-2-22-2-22-200-11-1100000000000000000000000000000000000000
χ728-8-88-4-4-44-44-44444-4222-2-22-2-22-2-2200-111-100000000000000000000000000000000000000

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