Finite Group Databasebeta

← Group #22413

Character table — Group #22413

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70
size1111222222444411112222224444222244444488882222444444888822224444448888
order1222448888224422224488882244222244888822442222448888224444444488884444
χ11111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1
χ3111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1
χ4111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ51-11-11-1ii−i−i1-1i−i1-11-11-1ii−i−i1-1i−i1-11-11-1ii−i−i1-1i−i1-11-11-1ii−i−i1-1i−i1-11-11-1ii−i−i1-1i−i
χ61-11-11-1ii−i−i-11−ii1-11-11-1ii−i−i-11−ii1-11-11-1ii−i−i-11−ii1-11-11-1ii−i−i-11−ii1-11-11-1ii−i−i-11−ii
χ71-11-11-1−i−iii1-1−ii1-11-11-1−i−iii1-1−ii1-11-11-1−i−iii1-1−ii1-11-11-1−i−iii1-1−ii1-11-11-1−i−iii1-1−ii
χ81-11-11-1−i−iii-11i−i1-11-11-1−i−iii-11i−i1-11-11-1−i−iii-11i−i1-11-11-1−i−iii-11i−i1-11-11-1−i−iii-11i−i
χ92222-2-2000000002222-2-2000000002222-2-2000000002222-2-2000000002222-2-200000000
χ1022-2-200i2−i2i2−i2000022-2-200i2−i2i2−i2000022-2-200i2−i2i2−i2000022-2-200i2−i2i2−i2000022-2-200i2−i2i2−i20000
χ1122-2-200−i2i2−i2i2000022-2-200−i2i2−i2i2000022-2-200−i2i2−i2i2000022-2-200−i2i2−i2i2000022-2-200−i2i2−i2i20000
χ122-22-2-22000000002-22-2-22000000002-22-2-22000000002-22-2-22000000002-22-2-2200000000
χ132-2-22002−2−2200002-2-22002−2−2200002-2-22002−2−2200002-2-22002−2−2200002-2-22002−2−220000
χ142-2-2200−222−200002-2-2200−222−200002-2-2200−222−200002-2-2200−222−200002-2-2200−222−20000
χ15111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ161111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ17111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111
χ18111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1
χ191-11-11-1ii−i−i1-1i−i1-11-11-1ii−i−i1-1i−i1-11-11-1ii−i−i1-1i−i-11-11-11−i−iii-11−ii-11-11-11−i−iii-11−ii
χ201-11-11-1ii−i−i-11−ii1-11-11-1ii−i−i-11−ii1-11-11-1ii−i−i-11−ii-11-11-11−i−iii1-1i−i-11-11-11−i−iii1-1i−i
χ211-11-11-1−i−iii1-1−ii1-11-11-1−i−iii1-1−ii1-11-11-1−i−iii1-1−ii-11-11-11ii−i−i-11i−i-11-11-11ii−i−i-11i−i
χ221-11-11-1−i−iii-11i−i1-11-11-1−i−iii-11i−i1-11-11-1−i−iii-11i−i-11-11-11ii−i−i1-1−ii-11-11-11ii−i−i1-1−ii
χ232222-2-2000000002222-2-2000000002222-2-200000000-2-2-2-22200000000-2-2-2-22200000000
χ2422-2-200i2−i2i2−i2000022-2-200i2−i2i2−i2000022-2-200i2−i2i2−i20000-2-22200−i2i2−i2i20000-2-22200−i2i2−i2i20000
χ2522-2-200−i2i2−i2i2000022-2-200−i2i2−i2i2000022-2-200−i2i2−i2i20000-2-22200i2−i2i2−i20000-2-22200i2−i2i2−i20000
χ262-22-2-22000000002-22-2-22000000002-22-2-2200000000-22-222-200000000-22-222-200000000
χ272-2-22002−2−2200002-2-22002−2−2200002-2-22002−2−220000-222-200−222−20000-222-200−222−20000
χ282-2-2200−222−200002-2-2200−222−200002-2-2200−222−20000-222-2002−2−220000-222-2002−2−220000
χ291111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ301111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ31111111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111
χ32111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1
χ331-11-11-1ii−i−i1-1i−i1-11-11-1ii−i−i1-1i−i-11-11-11−i−iii-11−ii1-11-11-1ii−i−i1-1i−i-11-11-11−i−iii-11−ii
χ341-11-11-1ii−i−i-11−ii1-11-11-1ii−i−i-11−ii-11-11-11−i−iii1-1i−i1-11-11-1ii−i−i-11−ii-11-11-11−i−iii1-1i−i
χ351-11-11-1−i−iii1-1−ii1-11-11-1−i−iii1-1−ii-11-11-11ii−i−i-11i−i1-11-11-1−i−iii1-1−ii-11-11-11ii−i−i-11i−i
χ361-11-11-1−i−iii-11i−i1-11-11-1−i−iii-11i−i-11-11-11ii−i−i1-1−ii1-11-11-1−i−iii-11i−i-11-11-11ii−i−i1-1−ii
χ372222-2-2000000002222-2-200000000-2-2-2-222000000002222-2-200000000-2-2-2-22200000000
χ3822-2-200i2−i2i2−i2000022-2-200i2−i2i2−i20000-2-22200−i2i2−i2i2000022-2-200i2−i2i2−i20000-2-22200−i2i2−i2i20000
χ3922-2-200−i2i2−i2i2000022-2-200−i2i2−i2i20000-2-22200i2−i2i2−i2000022-2-200−i2i2−i2i20000-2-22200i2−i2i2−i20000
χ402-22-2-22000000002-22-2-2200000000-22-222-2000000002-22-2-2200000000-22-222-200000000
χ412-2-22002−2−2200002-2-22002−2−220000-222-200−222−200002-2-22002−2−220000-222-200−222−20000
χ422-2-2200−222−200002-2-2200−222−20000-222-2002−2−2200002-2-2200−222−20000-222-2002−2−220000
χ431111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111
χ441111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ45111111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1
χ46111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-111
χ471-11-11-1ii−i−i1-1i−i1-11-11-1ii−i−i1-1i−i-11-11-11−i−iii-11−ii-11-11-11−i−iii-11−ii1-11-11-1ii−i−i1-1i−i
χ481-11-11-1ii−i−i-11−ii1-11-11-1ii−i−i-11−ii-11-11-11−i−iii1-1i−i-11-11-11−i−iii1-1i−i1-11-11-1ii−i−i-11−ii
χ491-11-11-1−i−iii1-1−ii1-11-11-1−i−iii1-1−ii-11-11-11ii−i−i-11i−i-11-11-11ii−i−i-11i−i1-11-11-1−i−iii1-1−ii
χ501-11-11-1−i−iii-11i−i1-11-11-1−i−iii-11i−i-11-11-11ii−i−i1-1−ii-11-11-11ii−i−i1-1−ii1-11-11-1−i−iii-11i−i
χ512222-2-2000000002222-2-200000000-2-2-2-22200000000-2-2-2-222000000002222-2-200000000
χ5222-2-200i2−i2i2−i2000022-2-200i2−i2i2−i20000-2-22200−i2i2−i2i20000-2-22200−i2i2−i2i2000022-2-200i2−i2i2−i20000
χ5322-2-200−i2i2−i2i2000022-2-200−i2i2−i2i20000-2-22200i2−i2i2−i20000-2-22200i2−i2i2−i2000022-2-200−i2i2−i2i20000
χ542-22-2-22000000002-22-2-2200000000-22-222-200000000-22-222-2000000002-22-2-2200000000
χ552-2-22002−2−2200002-2-22002−2−220000-222-200−222−20000-222-200−222−200002-2-22002−2−220000
χ562-2-2200−222−200002-2-2200−222−20000-222-2002−2−220000-222-2002−2−2200002-2-2200−222−20000
χ5722222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000
χ582222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000
χ59222222-2-2-2-222-2-2-2-2-2-2-2-22222-2-222000000000000000000000000000000000000000000
χ60222222-2-2-2-2-2-222-2-2-2-2-2-2222222-2-2000000000000000000000000000000000000000000
χ612-22-22-22i2i−2i−2i2-22i−2i-22-22-22−2i−2i2i2i-22−2i2i000000000000000000000000000000000000000000
χ622-22-22-22i2i−2i−2i-22−2i2i-22-22-22−2i−2i2i2i2-22i−2i000000000000000000000000000000000000000000
χ632-22-22-2−2i−2i2i2i2-2−2i2i-22-22-222i2i−2i−2i-222i−2i000000000000000000000000000000000000000000
χ642-22-22-2−2i−2i2i2i-222i−2i-22-22-222i2i−2i−2i2-2−2i2i000000000000000000000000000000000000000000
χ654444-4-400000000-4-4-4-44400000000000000000000000000000000000000000000000000
χ6644-4-4002i2−2i22i2−2i20000-4-44400−2i22i2−2i22i20000000000000000000000000000000000000000000000
χ6744-4-400−2i22i2−2i22i20000-4-444002i2−2i22i2−2i20000000000000000000000000000000000000000000000
χ684-44-4-4400000000-44-444-400000000000000000000000000000000000000000000000000
χ694-4-440022−22−22220000-444-400−222222−220000000000000000000000000000000000000000000000
χ704-4-4400−222222−220000-444-40022−22−22220000000000000000000000000000000000000000000000

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