Finite Group Databasebeta

← Group #11922022

Character table — Group #11922022

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222223333333344666666668888888899991212121212121212121216161616161616161818242424242424242424242424242424243636363636363636
order122234466622224444121222446666366612121212444444444444121236661212121222666612121212121212121212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111-1-1-1-111-1-111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111-1-111111111111-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-11111-1-1
χ611111-1-111111111111-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111
χ711111-1-11111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-111
χ811111-1-11111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-11111-1-1
χ911-1-11i−i-11-11-11-1ii−i−ii−i1-1i−i1-11-111-1-1ii−i−iii−i−i1-1i−i1-1i−ii−i11-1-1ii−i−i1-111-1-11-1i−i1-1i−iii−i−i1-1i−ii−i1-1
χ1011-1-11i−i-11-11-11-1ii−i−ii−i1-1i−i1-11-111-1-1ii−i−iii−i−i-11−ii-11−iii−i11-1-1ii−i−i1-111-1-1-11−ii-11−iiii−i−i-11−ii−ii-11
χ1111-1-11i−i-11-11-11-1−i−iiii−i-11i−i1-11-111-1-1ii−i−i−i−iii1-1i−i1-1i−ii−i11-1-1ii−i−i-11-1-1111-1i−i1-1i−i−i−iii-11−ii−ii-11
χ1211-1-11i−i-11-11-11-1−i−iiii−i-11i−i1-11-111-1-1ii−i−i−i−iii-11−ii-11−iii−i11-1-1ii−i−i-11-1-111-11−ii-11−ii−i−iii1-1i−ii−i1-1
χ1311-1-11−ii-11-11-11-1ii−i−i−ii-11−ii1-11-111-1-1−i−iiiii−i−i1-1−ii1-1−ii−ii11-1-1−i−iii-11-1-1111-1−ii1-1−iiii−i−i-11i−ii−i-11
χ1411-1-11−ii-11-11-11-1ii−i−i−ii-11−ii1-11-111-1-1−i−iiiii−i−i-11i−i-11i−i−ii11-1-1−i−iii-11-1-111-11i−i-11i−iii−i−i1-1−ii−ii1-1
χ1511-1-11−ii-11-11-11-1−i−iii−ii1-1−ii1-11-111-1-1−i−iii−i−iii1-1−ii1-1−ii−ii11-1-1−i−iii1-111-1-11-1−ii1-1−ii−i−iii1-1−ii−ii1-1
χ1611-1-11−ii-11-11-11-1−i−iii−ii1-1−ii1-11-111-1-1−i−iii−i−iii-11i−i-11i−i−ii11-1-1−i−iii1-111-1-1-11i−i-11i−i−i−iii-11i−ii−i-11
χ172222222222222222222222222222-1-1-1-1-1-1-1-122220000000022-1-1-1-1-1-1-1-122-1-1-1-100000000-1-1-1-100000000
χ1822222222222222-2-2-2-222-2-2222222-1-1-1-1-1-1-1-1-2-2-2-20000000022-1-1-1-1-1-1-1-1-2-2111100000000111100000000
χ1922222-2-222222222222-2-2-2-2-2-22222-1-1-1-11111222200000000-2-2-1-1-1-11111-2-2111100000000-1-1-1-100000000
χ2022222-2-22222222-2-2-2-2-2-222-2-22222-1-1-1-11111-2-2-2-200000000-2-2-1-1-1-1111122-1-1-1-100000000111100000000
χ212222-122-1-1-122220000-1-10022-1-1-1-122222222000022222222-1-1-1-1-1-1-1-1-1-1000000-1-1-1-1-1-1-1-1000000000000
χ222222-122-1-1-122220000-1-10022-1-1-1-1222222220000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-100000011111111000000000000
χ232222-1-2-2-1-1-1222200001100-2-2-1-1-1-12222-2-2-2-2000022-2-222-2-211-1-1-1-11111000000-1-111-1-111000000000000
χ242222-1-2-2-1-1-1222200001100-2-2-1-1-1-12222-2-2-2-20000-2-222-2-22211-1-1-1-1111100000011-1-111-1-1000000000000
χ2522-2-222i−2i-22-22-22-22i2i−2i−2i2i−2i2-22i−2i2-22-2-1-111−i−iii2i2i−2i−2i000000002i−2i-1-111−i−iii2-2-1-11100000000−i−iii00000000
χ2622-2-222i−2i-22-22-22-2−2i−2i2i2i2i−2i-222i−2i2-22-2-1-111−i−iii−2i−2i2i2i000000002i−2i-1-111−i−iii-2211-1-100000000ii−i−i00000000
χ2722-2-22−2i2i-22-22-22-22i2i−2i−2i−2i2i-22−2i2i2-22-2-1-111ii−i−i2i2i−2i−2i00000000−2i2i-1-111ii−i−i-2211-1-100000000−i−iii00000000
χ2822-2-22−2i2i-22-22-22-2−2i−2i2i2i−2i2i2-2−2i2i2-22-2-1-111ii−i−i−2i−2i2i2i00000000−2i2i-1-111ii−i−i2-2-1-11100000000ii−i−i00000000
χ2922-2-2-12i−2i1-112-22-20000−ii002i−2i-11-1122-2-22i2i−2i−2i00002-22i−2i2-22i−2i−ii-1-111−i−iii000000-11−ii-11−ii000000000000
χ3022-2-2-12i−2i1-112-22-20000−ii002i−2i-11-1122-2-22i2i−2i−2i0000-22−2i2i-22−2i2i−ii-1-111−i−iii0000001-1i−i1-1i−i000000000000
χ3122-2-2-1−2i2i1-112-22-20000i−i00−2i2i-11-1122-2-2−2i−2i2i2i00002-2−2i2i2-2−2i2ii−i-1-111ii−i−i000000-11i−i-11i−i000000000000
χ3222-2-2-1−2i2i1-112-22-20000i−i00−2i2i-11-1122-2-2−2i−2i2i2i0000-222i−2i-222i−2ii−i-1-111ii−i−i0000001-1−ii1-1−ii000000000000
χ332-22-22002-2-2-2-2222i−2i2i−2i00000022-2-22-22-200002i−2i2i−2i00000000002-22-20000000000000000002i−2i2i−2i00000000
χ342-22-22002-2-2-2-2222i−2i2i−2i00000022-2-2-11-113−33−32i−2i2i−2i0000000000-11-113−33−300−i3i3−i3i300000000−ii−ii00000000
χ352-22-22002-2-2-2-2222i−2i2i−2i00000022-2-2-11-11−33−332i−2i2i−2i0000000000-11-11−33−3300i3−i3i3−i300000000−ii−ii00000000
χ362-22-22002-2-2-2-222−2i2i−2i2i00000022-2-22-22-20000−2i2i−2i2i00000000002-22-2000000000000000000−2i2i−2i2i00000000
χ372-22-22002-2-2-2-222−2i2i−2i2i00000022-2-2-11-113−33−3−2i2i−2i2i0000000000-11-113−33−300i3−i3i3−i300000000i−ii−i00000000
χ382-22-22002-2-2-2-222−2i2i−2i2i00000022-2-2-11-11−33−33−2i2i−2i2i0000000000-11-11−33−3300−i3i3−i3i300000000i−ii−i00000000
χ392-2-22200-2-22-222-22-2-220000002-2-222-2-2200002-2-2200000000002-2-220000000000000000002-2-2200000000
χ402-2-22200-2-22-222-22-2-220000002-2-22-111-1−i3i3i3−i32-2-220000000000-111-1−i3i3i3−i300−i3i3i3−i300000000-111-100000000
χ412-2-22200-2-22-222-22-2-220000002-2-22-111-1i3−i3−i3i32-2-220000000000-111-1i3−i3−i3i300i3−i3−i3i300000000-111-100000000
χ422-2-22200-2-22-222-2-222-20000002-2-222-2-220000-222-200000000002-2-22000000000000000000-222-200000000
χ432-2-22200-2-22-222-2-222-20000002-2-22-111-1−i3i3i3−i3-222-20000000000-111-1−i3i3i3−i300i3−i3−i3i3000000001-1-1100000000
χ442-2-22200-2-22-222-2-222-20000002-2-22-111-1i3−i3−i3i3-222-20000000000-111-1i3−i3−i3i300−i3i3i3−i3000000001-1-1100000000
χ453333333333-1-1-1-133333333-1-1-1-1-1-100000000-1-1-1-11111-1-1-1-1-1-100000000-1-100001111-1-1-1-100001111-1-1-1-1
χ463333333333-1-1-1-133333333-1-1-1-1-1-100000000-1-1-1-1-1-1-1-11111-1-100000000-1-10000-1-1-1-111110000-1-1-1-11111
χ473333333333-1-1-1-1-3-3-3-333-3-3-1-1-1-1-1-10000000011111111-1-1-1-1-1-1000000001100001111-1-1-1-10000-1-1-1-11111
χ483333333333-1-1-1-1-3-3-3-333-3-3-1-1-1-1-1-1000000001111-1-1-1-11111-1-100000000110000-1-1-1-1111100001111-1-1-1-1
χ4933333-3-3333-1-1-1-13333-3-3-3-311-1-1-1-100000000-1-1-1-111-1-1-1-111110000000011000011-1-1-1-1110000-1-111-1-111
χ5033333-3-3333-1-1-1-13333-3-3-3-311-1-1-1-100000000-1-1-1-1-1-11111-1-11100000000110000-1-11111-1-1000011-1-111-1-1
χ5133333-3-3333-1-1-1-1-3-3-3-3-3-33311-1-1-1-100000000111111-1-1-1-1111100000000-1-1000011-1-1-1-111000011-1-111-1-1
χ5233333-3-3333-1-1-1-1-3-3-3-3-3-33311-1-1-1-1000000001111-1-11111-1-11100000000-1-10000-1-11111-1-10000-1-111-1-111
χ5333-3-333i−3i-33-3-11-113i3i−3i−3i3i−3i3-3−ii-11-1100000000−i−iii1-1i−i-11−ii−ii00000000-1100001-1i−i-11−ii00001-1i−i−ii-11
χ5433-3-333i−3i-33-3-11-113i3i−3i−3i3i−3i3-3−ii-11-1100000000−i−iii-11−ii1-1i−i−ii00000000-110000-11−ii1-1i−i0000-11−iii−i1-1
χ5533-3-333i−3i-33-3-11-11−3i−3i3i3i3i−3i-33−ii-11-1100000000ii−i−i1-1i−i-11−ii−ii000000001-100001-1i−i-11−ii0000-11−iii−i1-1
χ5633-3-333i−3i-33-3-11-11−3i−3i3i3i3i−3i-33−ii-11-1100000000ii−i−i-11−ii1-1i−i−ii000000001-10000-11−ii1-1i−i00001-1i−i−ii-11
χ5733-3-33−3i3i-33-3-11-113i3i−3i−3i−3i3i-33i−i-11-1100000000−i−iii1-1−ii-11i−ii−i000000001-100001-1−ii-11i−i0000-11i−i−ii1-1
χ5833-3-33−3i3i-33-3-11-113i3i−3i−3i−3i3i-33i−i-11-1100000000−i−iii-11i−i1-1−iii−i000000001-10000-11i−i1-1−ii00001-1−iii−i-11
χ5933-3-33−3i3i-33-3-11-11−3i−3i3i3i−3i3i3-3i−i-11-1100000000ii−i−i1-1−ii-11i−ii−i00000000-1100001-1−ii-11i−i00001-1−iii−i-11
χ6033-3-33−3i3i-33-3-11-11−3i−3i3i3i−3i3i3-3i−i-11-1100000000ii−i−i-11i−i1-1−iii−i00000000-110000-11i−i1-1−ii0000-11i−i−ii1-1
χ614444-244-2-2-244440000-2-20044-2-2-2-2-2-2-2-2-2-2-2-2000000000000-2-21111111100000000000000000000000000
χ624444-2-4-4-2-2-2444400002200-4-4-2-2-2-2-2-2-2-22222000000000000221111-1-1-1-100000000000000000000000000
χ6344-4-4-24i−4i2-224-44-40000−2i2i004i−4i-22-22-2-222−2i−2i2i2i000000000000−2i2i11-1-1ii−i−i00000000000000000000000000
χ6444-4-4-2−4i4i2-224-44-400002i−2i00−4i4i-22-22-2-2222i2i−2i−2i0000000000002i−2i11-1-1−i−iii00000000000000000000000000
χ654-44-4-200-222-4-4440000000000-2-2224-44-4000000000000000000-22-22000000000000000000000000000000
χ664-44-4-200-222-4-4440000000000-2-222-22-2223−2323−23000000000000001-11-1−33−3300000000000000000000000000
χ674-44-4-200-222-4-4440000000000-2-222-22-22−2323−2323000000000000001-11-13−33−300000000000000000000000000
χ684-4-44-20022-2-444-40000000000-222-24-4-44000000000000000000-222-2000000000000000000000000000000
χ694-4-44-20022-2-444-40000000000-222-2-222-2−2i32i32i3−2i3000000000000001-1-11i3−i3−i3i300000000000000000000000000
χ704-4-44-20022-2-444-40000000000-222-2-222-22i3−2i3−2i32i3000000000000001-1-11−i3i3i3−i300000000000000000000000000
χ716666-366-3-3-3-2-2-2-20000-3-300-2-211110000000000002222-2-2-2-21100000000000000-1-1-1-11111000000000000
χ726666-366-3-3-3-2-2-2-20000-3-300-2-21111000000000000-2-2-2-2222211000000000000001111-1-1-1-1000000000000
χ736666-3-6-6-3-3-3-2-2-2-20000330022111100000000000022-2-2-2-222-1-100000000000000-1-11111-1-1000000000000
χ746666-3-6-6-3-3-3-2-2-2-200003300221111000000000000-2-22222-2-2-1-10000000000000011-1-1-1-111000000000000
χ7566-6-6-36i−6i3-33-22-220000−3i3i00−2i2i1-11-10000000000002-22i−2i-22−2i2ii−i00000000000000-11−ii1-1i−i000000000000
χ7666-6-6-36i−6i3-33-22-220000−3i3i00−2i2i1-11-1000000000000-22−2i2i2-22i−2ii−i000000000000001-1i−i-11−ii000000000000
χ7766-6-6-3−6i6i3-33-22-2200003i−3i002i−2i1-11-10000000000002-2−2i2i-222i−2i−ii00000000000000-11i−i1-1−ii000000000000
χ7866-6-6-3−6i6i3-33-22-2200003i−3i002i−2i1-11-1000000000000-222i−2i2-2−2i2i−ii000000000000001-1−ii-11i−i000000000000
χ796-66-66006-6-622-2-26i−6i6i−6i000000-2-22200000000−2i2i−2i2i00000000000000000000000000000000000000000000
χ806-66-66006-6-622-2-2−6i6i−6i6i000000-2-222000000002i−2i2i−2i00000000000000000000000000000000000000000000
χ816-6-66600-6-662-2-226-6-66000000-222-200000000-222-200000000000000000000000000000000000000000000
χ826-6-66600-6-662-2-22-666-6000000-222-2000000002-2-2200000000000000000000000000000000000000000000
χ8312-1212-12-600-66644-4-4000000000022-2-200000000000000000000000000000000000000000000000000000000
χ8412-12-1212-60066-64-4-4400000000002-2-2200000000000000000000000000000000000000000000000000000000

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