Finite Group Databasebeta

← Group #11799116

Character table — Group #11799116

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size112222222224444444444444448888888888161616161616161618182424242424242424242424243636364848484848487272
order122334466883666812121212121224242424246122424242424246666121212128816161616484848484848484844822666688
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111
χ311111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-11-111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11-1-111-1-1
χ511111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1
χ711111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-11111
χ811111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-11-111-1-111
χ9222222222-2-22222-2222222-2-2-2-20022-2-2-2-2-2-20000000022000000000000-2-2200000000
χ10222222222-2-22222-2222222-2-2-2-20022-2-2-2-2-2-200000000-2-200000000000022-200000000
χ112222-1222-122-12-1-122-1-1-12-122-1-122-1-12-1-1-1-1-12-1-1-12-1-1-10000220000-1-1-1-10000200-1-100
χ122222-1222-122-12-1-122-1-1-12-122-1-122-1-12-1-1-1-1-12-1-1-12-1-1-10000-2-2000011110000-2001100
χ132222-1222-122-12-1-122-1-1-12-122-1-1-2-2-1-12-1-1-1-1-1-2111-21110000220000-1-1-1-10000-2001100
χ142222-1222-122-12-1-122-1-1-12-122-1-1-2-2-1-12-1-1-1-1-1-2111-21110000-2-2000011110000200-1-100
χ15222-1222-1222-1-12-12-12-1-1-12-1-12222-1-1-12-1-1-1-1-12-1-1-12-1-1002200-1-1-1-1000000020-1-10000
χ16222-1222-1222-1-12-12-12-1-1-12-1-12222-1-1-12-1-1-1-1-12-1-1-12-1-100-2-20011110000000-20110000
χ17222-1222-1222-1-12-12-12-1-1-12-1-122-2-2-1-1-12-1-1-1-11-2111-211002200-1-1-1-10000000-20110000
χ18222-1222-1222-1-12-12-12-1-1-12-1-122-2-2-1-1-12-1-1-1-11-2111-21100-2-2001111000000020-1-10000
χ1922-2222-222222-2-22-2-2-2-2-22222222-2-22-2-222-2-22222-2-2-2-20000000000000000000000000
χ2022-2222-222222-2-22-2-2-2-2-2222222-22-22-2-222-2-2-2-2-2-222220000000000000000000000000
χ2122-2222-222-2-22-2-222-2-2-2-222-2-2-2-200-2222-2-22200000000000000000000000000000002i−2i
χ2222-2222-222-2-22-2-222-2-2-2-222-2-2-2-200-2222-2-2220000000000000000000000000000000−2i2i
χ2322-222-2222002-2-2202222-2-2000000-2-200000000000000222−22−222−2−222−2−200-200000000
χ2422-222-2222002-2-2202222-2-2000000-2-20000000000000022−22−22−2−222−2−22200-200000000
χ2522-222-2222002-2-2202222-2-2000000-2-200000000000000-2-22−2−2222−2−2−2−22200200000000
χ2622-222-2222002-2-2202222-2-2000000-2-200000000000000-2-2−222−2−2−22222−2−200200000000
χ2722-22-12-22-122-1-21-1-2-21112-122-1-12-21-1-21-1-1112-1-1-1-21110000000000−i3i3−i3i30000000−i3i300
χ2822-22-12-22-122-1-21-1-2-21112-122-1-12-21-1-21-1-1112-1-1-1-21110000000000i3−i3i3−i30000000i3−i300
χ2922-22-12-22-122-1-21-1-2-21112-122-1-1-221-1-21-1-111-21112-1-1-10000000000−i3i3−i3i30000000i3−i300
χ3022-22-12-22-122-1-21-1-2-21112-122-1-1-221-1-21-1-111-21112-1-1-10000000000i3−i3i3−i30000000−i3i300
χ3122-2-122-2-1222-11-2-1-21-211-12-1-1222-21-11-2-1-111-12-1-11-211000000−i3i3−i3i3000000000−i3i30000
χ3222-2-122-2-1222-11-2-1-21-211-12-1-1222-21-11-2-1-111-12-1-11-211000000i3−i3i3−i3000000000i3−i30000
χ3322-2-122-2-1222-11-2-1-21-211-12-1-122-221-11-2-1-1111-211-12-1-1000000−i3i3−i3i3000000000i3−i30000
χ3422-2-122-2-1222-11-2-1-21-211-12-1-122-221-11-2-1-1111-211-12-1-1000000i3−i3i3−i3000000000−i3i30000
χ3544444-4-4440044440-4-4-4-4-4-40000004-4000000000000000000000000000000000000000
χ364444-2444-2-4-4-24-2-2-44-2-2-24-2-4-42200-2-2-422222000000000000000000000000000000000
χ374444-2-4-44-200-24-2-20-4222-42000000-22000000000000000000000000i6−i6−i6i600000000000
χ384444-2-4-44-200-24-2-20-4222-42000000-22000000000000000000000000−i6i6i6−i600000000000
χ39444-2444-24-4-4-2-24-2-4-24-2-2-2422-4-400-2-22-42222000000000000000000000000000000000
χ40444-24-4-4-2400-2-24-202-4222-4000000-2200000000000000000000i6−i6−i6i6000000000000000
χ41444-24-4-4-2400-2-24-202-4222-4000000-2200000000000000000000−i6i6i6−i6000000000000000
χ42444-2-244-2-2441-2-214-2-211-2-2-2-2-2-24411-2-21111-2-211-2-2110000000000000000000000000
χ43444-2-244-2-2441-2-214-2-211-2-2-2-2-2-2-4-411-2-2111122-1-122-1-10000000000000000000000000
χ44444-2-244-2-2-4-41-2-21-4-2-211-2-22222001122-1-1-1-1003-3003-30000000000000000000000000
χ45444-2-244-2-2-4-41-2-21-4-2-211-2-22222001122-1-1-1-100-3300-330000000000000000000000000
χ4644-44-24-44-2-4-4-2-42-24-42224-2-4-422002-24-222-2-2000000000000000000000000000000000
χ4744-44-2-444-200-2-42-204-2-2-2-420000002200000000000000000022−220000−2−22200000000000
χ4844-44-2-444-200-2-42-204-2-2-2-4200000022000000000000000000−2222000022−2−200000000000
χ4944-4-244-4-24-4-4-22-4-242-422-2422-4-4002-2-2422-2-2000000000000000000000000000000000
χ5044-4-24-44-2400-22-4-20-24-2-22-400000022000000000000000022−2200−2−222000000000000000
χ5144-4-24-44-2400-22-4-20-24-2-22-4000000220000000000000000−22220022−2−2000000000000000
χ5244-4-2-24-4-2-2441221-422-1-1-2-2-2-2-2-24-4-112211-1-1-2-21122-1-10000000000000000000000000
χ5344-4-2-24-4-2-2441221-422-1-1-2-2-2-2-2-2-44-112211-1-122-1-1-2-2110000000000000000000000000
χ5444-4-2-24-4-2-2-4-41221422-1-1-2-2222200-11-2-2-1-111003-300-330000000000000000000000000
χ5544-4-2-24-4-2-2-4-41221422-1-1-2-2222200-11-2-2-1-11100-33003-30000000000000000000000000
χ564-404400-4-422−22400-4000000022−2222−2200000022−22000000000022−220000000000002-2000000000
χ574-404400-4-422−22400-4000000022−2222−2200000022−220000000000−2222000000000000-22000000000
χ584-404400-4-4−2222400-40000000−2222−2222000000−2222000000000022−22000000000000-22000000000
χ594-404400-4-4−2222400-40000000−2222−2222000000−22220000000000−22220000000000002-2000000000
χ60888-4-4-8-8-4-4002-4-42044-2-2440000002-2000000000000000000000000000000000000000
χ6188-8-4-4-88-4-40024420-4-42244000000-2-2000000000000000000000000000000000000000
χ628-808-400-8442−42-4004000000042−42−2222000000−222200000000000000000000000000000000000
χ638-808-400-84−4242-40040000000−424222−2200000022−2200000000000000000000000000000000000
χ648-80-48004-842−42-40040000000−222242−42000000−222200000000000000000000000000000000000
χ658-80-48004-8−4242-4004000000022−22−424200000022−2200000000000000000000000000000000000
χ668-80-4-4004442−42200-20006i−6i00−2222−22220000002−2−3i23i2000000000000000000000000000000000
χ678-80-4-4004442−42200-2000−6i6i00−2222−22220000002−23i2−3i2000000000000000000000000000000000
χ688-80-4-40044−4242200-20006i−6i0022−2222−22000000−223i2−3i2000000000000000000000000000000000
χ698-80-4-40044−4242200-2000−6i6i0022−2222−22000000−22−3i23i2000000000000000000000000000000000

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