Finite Group Databasebeta

← Group #11723009

Character table — Group #11723009

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222224444444444446688881212121212121212121212121212121212121212121212121212181836363636363636365454
order12223336666666663336666666664436662466666666121212121212121212121212121212124424661212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1111111111111-1-1-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1
χ31111111111111111111111111111111111-11-1-1-1-1-1-1-1-11111111111111111-1-11-111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111
χ51111111111111111111111111111-1-111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1
χ61111111111111111111111111111-1-111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111
χ71111111111111111111111111111-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-11-1-111-1-111
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
χ9222222-122-122-1-122-1-12-1-1-1-1222-1-122-1-1-1-1020000000022-1-122-1-1-1-1-1-1-1-1-1-10020-1-1000000
χ10222222-122-122-1-122-1-12-1-1-1-1222-1-122-1-1-1-10-20000000022-1-1-2-211-1-1-1-1111100-2011000000
χ11222222-122-122-1-122-1-12-1-1-1-1222-1-1-2-2-1-1-1-10200000000-2-21122-1-11111-1-1-1-100-2011000000
χ12222222-122-122-1-122-1-12-1-1-1-1222-1-1-2-2-1-1-1-10-200000000-2-211-2-211111111110020-1-1000000
χ1322222-122-122-1222-12-1-122-1-1-1-1-12-100-1-1-1-12222-1-1-1-1-1-10000-1-1220000-1-1-1-122000000-1-100
χ1422222-122-122-1222-12-1-122-1-1-1-1-12-100-1-1-1-12-222-1-1-1-1-1-1000011-2-200001111-2-20000001100
χ1522222-122-122-1222-12-1-122-1-1-1-1-12-100-1-1-1-1-22-2-21111110000-1-1220000-1-1-1-1-2-20000001100
χ1622222-122-122-1222-12-1-122-1-1-1-1-12-100-1-1-1-1-2-2-2-2111111000011-2-20000111122000000-1-100
χ172222-122-122-1222-12-12-1-1-122-1-1-1-1222-1-1-1-120-1-122-1-1-1-1-1-1220000-1-1-1-10000000200-1-10000
χ182222-122-122-1222-12-12-1-1-122-1-1-1-1222-1-1-1-1-2011-2-21111-1-1220000-1-1-1-10000000-200110000
χ192222-122-122-1222-12-12-1-1-122-1-1-1-12-2-2-1-1-1-120-1-122-1-1-1-111-2-2000011110000000-200110000
χ202222-122-122-1222-12-12-1-1-122-1-1-1-12-2-2-1-1-1-1-2011-2-2111111-2-2000011110000000200-1-10000
χ2122-2-2222-22-22-22-2-2-2222-2-22-22-2-22-20022-2-2000000000000000000000000002i−2i0000002i−2i00
χ2222-2-2222-22-22-22-2-2-2222-2-22-22-2-22-20022-2-200000000000000000000000000−2i2i000000−2i2i00
χ2322-2-22-12-2-1-2212-2-212-1-1-2-2-11-1112100-1-1110000−i3i3−i3−i3i3i300003−300000033−3−32i−2i000000−ii00
χ2422-2-22-12-2-1-2212-2-212-1-1-2-2-11-1112100-1-1110000−i3i3−i3−i3i3i30000−33000000−3−333−2i2i000000i−i00
χ2522-2-22-12-2-1-2212-2-212-1-1-2-2-11-1112100-1-1110000i3−i3i3i3−i3−i300003−300000033−3−3−2i2i000000i−i00
χ2622-2-22-12-2-1-2212-2-212-1-1-2-2-11-1112100-1-1110000i3−i3i3i3−i3−i30000−33000000−3−3332i−2i000000−ii00
χ272-22-22222-22-2-2-2-2-222222-2-22-22-2-2-22i−2i2-22-200000000002i−2i2i−2i00002i2i−2i−2i0000000000000000
χ282-22-22222-22-2-2-2-2-222222-2-22-22-2-2-2−2i2i2-22-20000000000−2i2i−2i2i0000−2i−2i2i2i0000000000000000
χ292-22-222-12-2-1-2-211-22-1-12-111-1-22-2112i−2i-11-1100000000002i−2i−ii003−3−i−iii3−33−30000−i3i3000000
χ302-22-222-12-2-1-2-211-22-1-12-111-1-22-2112i−2i-11-1100000000002i−2i−ii00−33−i−iii−33−330000i3−i3000000
χ312-22-222-12-2-1-2-211-22-1-12-111-1-22-211−2i2i-11-110000000000−2i2ii−i003−3ii−i−i3−33−30000i3−i3000000
χ322-22-222-12-2-1-2-211-22-1-12-111-1-22-211−2i2i-11-110000000000−2i2ii−i00−33ii−i−i−33−330000−i3i3000000
χ332-22-2-122-1-221-2-2-212-12-1-11-221-111-22i−2i-11-1100−i3i300−i3i3−i3i3−ii2i−2i0000−i−iii00000000003−30000
χ342-22-2-122-1-221-2-2-212-12-1-11-221-111-22i−2i-11-1100i3−i300i3−i3i3−i3−ii2i−2i0000−i−iii0000000000−330000
χ352-22-2-122-1-221-2-2-212-12-1-11-221-111-2−2i2i-11-1100−i3i300−i3i3−i3i3i−i−2i2i0000ii−i−i0000000000−330000
χ362-22-2-122-1-221-2-2-212-12-1-11-221-111-2−2i2i-11-1100i3−i300i3−i3i3−i3i−i−2i2i0000ii−i−i00000000003−30000
χ372-2-22222-2-2-2-22-222-2222-22-2-2-2-22-22002-2-220000000000000000000000000000000000002-2
χ382-2-22222-2-2-2-22-222-2222-22-2-2-2-22-22002-2-22000000000000000000000000000000000000-22
χ3944444-2-24-2-24-2-2-24-2-21-2-2-211-2-2-2-2100111104000000000000-2-2-2-200001111000000000000
χ4044444-2-24-2-24-2-2-24-2-21-2-2-211-2-2-2-210011110-400000000000022220000-1-1-1-1000000000000
χ414444-24-2-24-2-24-2-2-241-2-211-2-2-2-2-21-24411110000000000-2-2-2-2000011110000000000000000
χ424444-24-2-24-2-24-2-2-241-2-211-2-2-2-2-21-2-4-41111000000000022220000-1-1-1-10000000000000000
χ434444-2-24-2-24-2-244-2-2-2-21-2-2-2-2111-2-200111140-2-2-2-211110000000000000000000000000000
χ444444-2-24-2-24-2-244-2-2-2-21-2-2-2-2111-2-2001111-402222-1-1-1-10000000000000000000000000000
χ4544-4-444-2-4424-4-22-4-4-2-2422-224-4-4-2200-2-22200000000000000000000000000000000000000
χ4644-4-44-2-2-4-2242-22-42-21-2221-1-222-2-10011-1-10000000000000023−23000000−3−333000000000000
χ4744-4-44-2-2-4-2242-22-42-21-2221-1-222-2-10011-1-100000000000000−232300000033−3−3000000000000
χ4844-4-4-24424-4-2-44-42-4-24-2224-4-222-2-400-2-22200000000000000000000000000000000000000
χ4944-4-4-24-2242-2-4-222-41-2-2-1-1-22-222120011-1-10000000000000000003-33-30000000000000000
χ5044-4-4-24-2242-2-4-222-41-2-2-1-1-22-222120011-1-1000000000000000000-33-330000000000000000
χ5144-4-4-2-242-2-4-224-422-2-2122-221-1-1-220011-1-10000−2i32i3i3i3−i3−i30000000000000000000000000000
χ5244-4-4-2-242-2-4-224-422-2-2122-221-1-1-220011-1-100002i3−2i3−i3−i3i3i30000000000000000000000000000
χ534-44-44-24424-42-4-4-4-24-2-24-42-22-22-4200-22-2200000000000000000000000000000000000000
χ544-44-44-2-242-2-4222-4-2-21-2-22-112-222-1001-11-1000000000000000023−230000−33−33000000000000
χ554-44-44-2-242-2-4222-4-2-21-2-22-112-222-1001-11-10000000000000000−232300003−33−3000000000000
χ564-44-4-24-2-2-4-22-422241-2-21-12-22-22-124i−4i1-11-10000000000−2i2i−2i2i0000ii−i−i0000000000000000
χ574-44-4-24-2-2-4-22-422241-2-21-12-22-22-12−4i4i1-11-100000000002i−2i2i−2i0000−i−iii0000000000000000
χ584-44-4-2-24-22422-4-42-2-2-21-222-2-11-122001-11-100−2i32i300i3−i3i3−i30000000000000000000000000000
χ594-44-4-2-24-22422-4-42-2-2-21-222-2-11-122001-11-1002i3−2i300−i3i3−i3i30000000000000000000000000000
χ604-4-4444-2-4-42-442-24-4-2-242-222-4-442-200-222-200000000000000000000000000000000000000
χ614-4-444-24-42-4-4-2-44424-2-2-442222-2-4-200-222-200000000000000000000000000000000000000
χ624-4-444-2-2-422-4-22-242-21-22-2-1-122-221001-1-1100000000000000000000003-3-33000000000000
χ634-4-444-2-2-422-4-22-242-21-22-2-1-122-221001-1-110000000000000000000000-333-3000000000000
χ644-4-44-2442-4-424-44-2-4-24-22-2-4-422-22400-222-200000000000000000000000000000000000000
χ654-4-44-24-22-42242-2-2-41-2-2-112222-2-1-2001-1-110000000000000000003i−3i−3i3i0000000000000000
χ664-4-44-24-22-42242-2-2-41-2-2-112222-2-1-2001-1-11000000000000000000−3i3i3i−3i0000000000000000
χ674-4-44-2-2422-42-2-44-22-2-212-222-1-112-2001-1-110000003-3-330000000000000000000000000000
χ684-4-44-2-2422-42-2-44-22-2-212-222-1-112-2001-1-11000000-333-30000000000000000000000000000
χ698888-4-4-4-4-4-4-4-4-4-4-4-422222222222200-1-1-1-100000000000000000000000000000000000000
χ7088-8-8-4-4-44-44-44-4444222-2-22-22-2-22-200-1-11100000000000000000000000000000000000000
χ718-88-8-4-4-4-44-444444-42222-2-22-22-2-2-200-11-1100000000000000000000000000000000000000
χ728-8-88-4-4-44444-44-4-44222-22-2-2-2-22-2200-111-100000000000000000000000000000000000000

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