Finite Group Databasebeta

← Group #11796901

Character table — Group #11796901

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size112222244444888822444448888816161616224444488888161616162244444888881616161622444448888816161616991818181818363636363672727272
order122448881616161644883661212242424484848481212242436612122424244848484812122424366121224242448484848121224243661212242424484848481212242422244888161616164488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1
χ311111111-1-1-1-111-1-111111111-1-1-1-111-1-111111111-1-1-1-111-1-111111111-1-1-1-111-1-111111111-1-1-1-111-1-111111111-1-1-1-111-1-1
χ411111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ511-11-1-1-11ii−i−i1-1i−i11-11-1-1-11ii−i−i1-1i−i11-11-1-1-11ii−i−i1-1i−i11-11-1-1-11ii−i−i1-1i−i11-11-1-1-11ii−i−i1-1i−i11-11-1-1-11ii−i−i1-1i−i
χ611-11-1-1-11ii−i−i-11−ii11-11-1-1-11ii−i−i-11−ii11-11-1-1-11ii−i−i-11−ii11-11-1-1-11ii−i−i-11−ii11-11-1-1-11ii−i−i-11−ii11-11-1-1-11ii−i−i-11−ii
χ711-11-1-1-11−i−iii1-1−ii11-11-1-1-11−i−iii1-1−ii11-11-1-1-11−i−iii1-1−ii11-11-1-1-11−i−iii1-1−ii11-11-1-1-11−i−iii1-1−ii11-11-1-1-11−i−iii1-1−ii
χ811-11-1-1-11−i−iii-11i−i11-11-1-1-11−i−iii-11i−i11-11-1-1-11−i−iii-11i−i11-11-1-1-11−i−iii-11i−i11-11-1-1-11−i−iii-11i−i11-11-1-1-11−i−iii-11i−i
χ922222-2-2-20000000022222-2-2-20000000022222-2-2-20000000022222-2-2-20000000022222-2-2-20000000022222-2-2-200000000
χ10222-2-2000i2−i2i2−i20000222-2-2000i2−i2i2−i20000222-2-2000i2−i2i2−i20000222-2-2000i2−i2i2−i20000222-2-2000i2−i2i2−i20000222-2-2000i2−i2i2−i20000
χ11222-2-2000−i2i2−i2i20000222-2-2000−i2i2−i2i20000222-2-2000−i2i2−i2i20000222-2-2000−i2i2−i2i20000222-2-2000−i2i2−i2i20000222-2-2000−i2i2−i2i20000
χ1222-22-222-20000000022-22-222-20000000022-22-222-20000000022-22-222-20000000022-22-222-20000000022-22-222-200000000
χ1322-2-220002−2−22000022-2-220002−2−22000022-2-220002−2−22000022-2-220002−2−22000022-2-220002−2−22000022-2-220002−2−220000
χ1422-2-22000−222−2000022-2-22000−222−2000022-2-22000−222−2000022-2-22000−222−2000022-2-22000−222−2000022-2-22000−222−20000
χ154-400022−220000000004-400022−220000000004-400022−220000000004-400022−220000000004-400022−220000000004-400022−22000000000
χ164-4000−22220000000004-4000−22220000000004-4000−22220000000004-4000−22220000000004-4000−22220000000004-4000−2222000000000
χ1711111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ18111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ1911111111-1-1-1-111-1-111111111-1-1-1-111-1-111111111-1-1-1-111-1-111111111-1-1-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111
χ2011111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1
χ2111-11-1-1-11ii−i−i1-1i−i11-11-1-1-11ii−i−i1-1i−i11-11-1-1-11ii−i−i1-1i−i11-11-1-1-11ii−i−i1-1i−i11-11-1-1-11ii−i−i1-1i−i-1-11-1111-1−i−iii-11−ii
χ2211-11-1-1-11ii−i−i-11−ii11-11-1-1-11ii−i−i-11−ii11-11-1-1-11ii−i−i-11−ii11-11-1-1-11ii−i−i-11−ii11-11-1-1-11ii−i−i-11−ii-1-11-1111-1−i−iii1-1i−i
χ2311-11-1-1-11−i−iii1-1−ii11-11-1-1-11−i−iii1-1−ii11-11-1-1-11−i−iii1-1−ii11-11-1-1-11−i−iii1-1−ii11-11-1-1-11−i−iii1-1−ii-1-11-1111-1ii−i−i-11i−i
χ2411-11-1-1-11−i−iii-11i−i11-11-1-1-11−i−iii-11i−i11-11-1-1-11−i−iii-11i−i11-11-1-1-11−i−iii-11i−i11-11-1-1-11−i−iii-11i−i-1-11-1111-1ii−i−i1-1−ii
χ2522222-2-2-20000000022222-2-2-20000000022222-2-2-20000000022222-2-2-20000000022222-2-2-200000000-2-2-2-2-222200000000
χ26222-2-2000i2−i2i2−i20000222-2-2000i2−i2i2−i20000222-2-2000i2−i2i2−i20000222-2-2000i2−i2i2−i20000222-2-2000i2−i2i2−i20000-2-2-222000−i2i2−i2i20000
χ27222-2-2000−i2i2−i2i20000222-2-2000−i2i2−i2i20000222-2-2000−i2i2−i2i20000222-2-2000−i2i2−i2i20000222-2-2000−i2i2−i2i20000-2-2-222000i2−i2i2−i20000
χ2822-22-222-20000000022-22-222-20000000022-22-222-20000000022-22-222-20000000022-22-222-200000000-2-22-22-2-2200000000
χ2922-2-220002−2−22000022-2-220002−2−22000022-2-220002−2−22000022-2-220002−2−22000022-2-220002−2−220000-2-222-2000−222−20000
χ3022-2-22000−222−2000022-2-22000−222−2000022-2-22000−222−2000022-2-22000−222−2000022-2-22000−222−20000-2-222-20002−2−220000
χ314-400022−220000000004-400022−220000000004-400022−220000000004-400022−220000000004-400022−22000000000-44000−2222000000000
χ324-4000−22220000000004-4000−22220000000004-4000−22220000000004-4000−22220000000004-4000−2222000000000-4400022−22000000000
χ3322222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ34222222222222-2-2-2-2222222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111110000000000000000
χ3522222222-2-2-2-222-2-222222222-2-2-2-222-2-2-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1110000000000000000
χ3622222222-2-2-2-2-2-22222222222-2-2-2-2-2-222-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-10000000000000000
χ3722-22-2-2-222i2i−2i−2i2-22i−2i22-22-2-2-222i2i−2i−2i2-22i−2i-1-11-1111-1−i−iii-11−ii-1-11-1111-1−i−iii-11−ii-1-11-1111-1−i−iii-11−ii0000000000000000
χ3822-22-2-2-222i2i−2i−2i-22−2i2i22-22-2-2-222i2i−2i−2i-22−2i2i-1-11-1111-1−i−iii1-1i−i-1-11-1111-1−i−iii1-1i−i-1-11-1111-1−i−iii1-1i−i0000000000000000
χ3922-22-2-2-22−2i−2i2i2i2-2−2i2i22-22-2-2-22−2i−2i2i2i2-2−2i2i-1-11-1111-1ii−i−i-11i−i-1-11-1111-1ii−i−i-11i−i-1-11-1111-1ii−i−i-11i−i0000000000000000
χ4022-22-2-2-22−2i−2i2i2i-222i−2i22-22-2-2-22−2i−2i2i2i-222i−2i-1-11-1111-1ii−i−i1-1−ii-1-11-1111-1ii−i−i1-1−ii-1-11-1111-1ii−i−i1-1−ii0000000000000000
χ4144444-4-4-40000000044444-4-4-400000000-2-2-2-2-222200000000-2-2-2-2-222200000000-2-2-2-2-2222000000000000000000000000
χ42444-4-40002i2−2i22i2−2i20000444-4-40002i2−2i22i2−2i20000-2-2-222000−i2i2−i2i20000-2-2-222000−i2i2−i2i20000-2-2-222000−i2i2−i2i200000000000000000000
χ43444-4-4000−2i22i2−2i22i20000444-4-4000−2i22i2−2i22i20000-2-2-222000i2−i2i2−i20000-2-2-222000i2−i2i2−i20000-2-2-222000i2−i2i2−i200000000000000000000
χ4444-44-444-40000000044-44-444-400000000-2-22-22-2-2200000000-2-22-22-2-2200000000-2-22-22-2-22000000000000000000000000
χ4544-4-4400022−22−2222000044-4-4400022−22−22220000-2-222-2000−222−20000-2-222-2000−222−20000-2-222-2000−222−200000000000000000000
χ4644-4-44000−222222−22000044-4-44000−222222−220000-2-222-20002−2−220000-2-222-20002−2−220000-2-222-20002−2−2200000000000000000000
χ478-800042−420000000008-800042−42000000000-44000−2222000000000-44000−2222000000000-44000−22220000000000000000000000000
χ488-8000−42420000000008-8000−4242000000000-4400022−22000000000-4400022−22000000000-4400022−220000000000000000000000000
χ492222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ50222222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111222222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111110000000000000000
χ5122222222-2-2-2-222-2-2-1-1-1-1-1-1-1-11111-1-11122222222-2-2-2-222-2-2-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1110000000000000000
χ5222222222-2-2-2-2-2-222-1-1-1-1-1-1-1-1111111-1-122222222-2-2-2-2-2-222-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-10000000000000000
χ5322-22-2-2-222i2i−2i−2i2-22i−2i-1-11-1111-1−i−iii-11−ii22-22-2-2-222i2i−2i−2i2-22i−2i-1-11-1111-1−i−iii-11−ii-1-11-1111-1−i−iii-11−ii0000000000000000
χ5422-22-2-2-222i2i−2i−2i-22−2i2i-1-11-1111-1−i−iii1-1i−i22-22-2-2-222i2i−2i−2i-22−2i2i-1-11-1111-1−i−iii1-1i−i-1-11-1111-1−i−iii1-1i−i0000000000000000
χ5522-22-2-2-22−2i−2i2i2i2-2−2i2i-1-11-1111-1ii−i−i-11i−i22-22-2-2-22−2i−2i2i2i2-2−2i2i-1-11-1111-1ii−i−i-11i−i-1-11-1111-1ii−i−i-11i−i0000000000000000
χ5622-22-2-2-22−2i−2i2i2i-222i−2i-1-11-1111-1ii−i−i1-1−ii22-22-2-2-22−2i−2i2i2i-222i−2i-1-11-1111-1ii−i−i1-1−ii-1-11-1111-1ii−i−i1-1−ii0000000000000000
χ5744444-4-4-400000000-2-2-2-2-22220000000044444-4-4-400000000-2-2-2-2-222200000000-2-2-2-2-2222000000000000000000000000
χ58444-4-40002i2−2i22i2−2i20000-2-2-222000−i2i2−i2i20000444-4-40002i2−2i22i2−2i20000-2-2-222000−i2i2−i2i20000-2-2-222000−i2i2−i2i200000000000000000000
χ59444-4-4000−2i22i2−2i22i20000-2-2-222000i2−i2i2−i20000444-4-4000−2i22i2−2i22i20000-2-2-222000i2−i2i2−i20000-2-2-222000i2−i2i2−i200000000000000000000
χ6044-44-444-400000000-2-22-22-2-220000000044-44-444-400000000-2-22-22-2-2200000000-2-22-22-2-22000000000000000000000000
χ6144-4-4400022−22−22220000-2-222-2000−222−2000044-4-4400022−22−22220000-2-222-2000−222−20000-2-222-2000−222−200000000000000000000
χ6244-4-44000−222222−220000-2-222-20002−2−22000044-4-44000−222222−220000-2-222-20002−2−220000-2-222-20002−2−2200000000000000000000
χ638-800042−42000000000-44000−22220000000008-800042−42000000000-44000−2222000000000-44000−22220000000000000000000000000
χ648-8000−4242000000000-4400022−220000000008-8000−4242000000000-4400022−22000000000-4400022−220000000000000000000000000
χ652222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ66222222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111222222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111110000000000000000
χ6722222222-2-2-2-222-2-2-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-11122222222-2-2-2-222-2-2-1-1-1-1-1-1-1-11111-1-1110000000000000000
χ6822222222-2-2-2-2-2-222-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-122222222-2-2-2-2-2-222-1-1-1-1-1-1-1-1111111-1-10000000000000000
χ6922-22-2-2-222i2i−2i−2i2-22i−2i-1-11-1111-1−i−iii-11−ii-1-11-1111-1−i−iii-11−ii22-22-2-2-222i2i−2i−2i2-22i−2i-1-11-1111-1−i−iii-11−ii0000000000000000
χ7022-22-2-2-222i2i−2i−2i-22−2i2i-1-11-1111-1−i−iii1-1i−i-1-11-1111-1−i−iii1-1i−i22-22-2-2-222i2i−2i−2i-22−2i2i-1-11-1111-1−i−iii1-1i−i0000000000000000
χ7122-22-2-2-22−2i−2i2i2i2-2−2i2i-1-11-1111-1ii−i−i-11i−i-1-11-1111-1ii−i−i-11i−i22-22-2-2-22−2i−2i2i2i2-2−2i2i-1-11-1111-1ii−i−i-11i−i0000000000000000
χ7222-22-2-2-22−2i−2i2i2i-222i−2i-1-11-1111-1ii−i−i1-1−ii-1-11-1111-1ii−i−i1-1−ii22-22-2-2-22−2i−2i2i2i-222i−2i-1-11-1111-1ii−i−i1-1−ii0000000000000000
χ7344444-4-4-400000000-2-2-2-2-222200000000-2-2-2-2-22220000000044444-4-4-400000000-2-2-2-2-2222000000000000000000000000
χ74444-4-40002i2−2i22i2−2i20000-2-2-222000−i2i2−i2i20000-2-2-222000−i2i2−i2i20000444-4-40002i2−2i22i2−2i20000-2-2-222000−i2i2−i2i200000000000000000000
χ75444-4-4000−2i22i2−2i22i20000-2-2-222000i2−i2i2−i20000-2-2-222000i2−i2i2−i20000444-4-4000−2i22i2−2i22i20000-2-2-222000i2−i2i2−i200000000000000000000
χ7644-44-444-400000000-2-22-22-2-2200000000-2-22-22-2-220000000044-44-444-400000000-2-22-22-2-22000000000000000000000000
χ7744-4-4400022−22−22220000-2-222-2000−222−20000-2-222-2000−222−2000044-4-4400022−22−22220000-2-222-2000−222−200000000000000000000
χ7844-4-44000−222222−220000-2-222-20002−2−220000-2-222-20002−2−22000044-4-44000−222222−220000-2-222-20002−2−2200000000000000000000
χ798-800042−42000000000-44000−2222000000000-44000−22220000000008-800042−42000000000-44000−22220000000000000000000000000
χ808-8000−4242000000000-4400022−22000000000-4400022−220000000008-8000−4242000000000-4400022−220000000000000000000000000
χ812222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222220000000000000000
χ82222222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111222222222222-2-2-2-20000000000000000
χ8322222222-2-2-2-222-2-2-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-11122222222-2-2-2-222-2-20000000000000000
χ8422222222-2-2-2-2-2-222-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-122222222-2-2-2-2-2-2220000000000000000
χ8522-22-2-2-222i2i−2i−2i2-22i−2i-1-11-1111-1−i−iii-11−ii-1-11-1111-1−i−iii-11−ii-1-11-1111-1−i−iii-11−ii22-22-2-2-222i2i−2i−2i2-22i−2i0000000000000000
χ8622-22-2-2-222i2i−2i−2i-22−2i2i-1-11-1111-1−i−iii1-1i−i-1-11-1111-1−i−iii1-1i−i-1-11-1111-1−i−iii1-1i−i22-22-2-2-222i2i−2i−2i-22−2i2i0000000000000000
χ8722-22-2-2-22−2i−2i2i2i2-2−2i2i-1-11-1111-1ii−i−i-11i−i-1-11-1111-1ii−i−i-11i−i-1-11-1111-1ii−i−i-11i−i22-22-2-2-22−2i−2i2i2i2-2−2i2i0000000000000000
χ8822-22-2-2-22−2i−2i2i2i-222i−2i-1-11-1111-1ii−i−i1-1−ii-1-11-1111-1ii−i−i1-1−ii-1-11-1111-1ii−i−i1-1−ii22-22-2-2-22−2i−2i2i2i-222i−2i0000000000000000
χ8944444-4-4-400000000-2-2-2-2-222200000000-2-2-2-2-222200000000-2-2-2-2-22220000000044444-4-4-4000000000000000000000000
χ90444-4-40002i2−2i22i2−2i20000-2-2-222000−i2i2−i2i20000-2-2-222000−i2i2−i2i20000-2-2-222000−i2i2−i2i20000444-4-40002i2−2i22i2−2i200000000000000000000
χ91444-4-4000−2i22i2−2i22i20000-2-2-222000i2−i2i2−i20000-2-2-222000i2−i2i2−i20000-2-2-222000i2−i2i2−i20000444-4-4000−2i22i2−2i22i200000000000000000000
χ9244-44-444-400000000-2-22-22-2-2200000000-2-22-22-2-2200000000-2-22-22-2-220000000044-44-444-4000000000000000000000000
χ9344-4-4400022−22−22220000-2-222-2000−222−20000-2-222-2000−222−20000-2-222-2000−222−2000044-4-4400022−22−222200000000000000000000
χ9444-4-44000−222222−220000-2-222-20002−2−220000-2-222-20002−2−220000-2-222-20002−2−22000044-4-44000−222222−2200000000000000000000
χ958-800042−42000000000-44000−2222000000000-44000−2222000000000-44000−22220000000008-800042−420000000000000000000000000
χ968-8000−4242000000000-4400022−22000000000-4400022−22000000000-4400022−220000000008-8000−42420000000000000000000000000

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