Finite Group Databasebeta

← Group #1539

Character table — Group #1539

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size11112222444444444881111222244444444488
order12224444488888888442222444448888888844
χ111111111111111111111111111111111111111
χ21111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1
χ3111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1
χ4111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111
χ51111-1-1-1-11ii−i−iii−i−i1-11111-1-1-1-11ii−i−iii−i−i1-1
χ61111-1-1-1-11ii−i−i−i−iii-111111-1-1-1-11ii−i−i−i−iii-11
χ71111-1-1-1-11−i−iiiii−i−i-111111-1-1-1-11−i−iiiii−i−i-11
χ81111-1-1-1-11−i−iii−i−iii1-11111-1-1-1-11−i−iii−i−iii1-1
χ922222-22-2-2000000000022222-22-2-20000000000
χ102222-22-22-200000000002222-22-22-20000000000
χ1122-2-220-20000002−22−20022-2-220-20000002−22−200
χ1222-2-220-2000000−22−220022-2-220-2000000−22−2200
χ1322-2-2-202000000i2−i2−i2i20022-2-2-202000000i2−i2−i2i200
χ1422-2-2-202000000−i2i2i2−i20022-2-2-202000000−i2i2i2−i200
χ152-2-22020-20i2−i2i2−i20000002-2-22020-20i2−i2i2−i2000000
χ162-2-22020-20−i2i2−i2i20000002-2-22020-20−i2i2−i2i2000000
χ172-2-220-20202−2−220000002-2-220-20202−2−22000000
χ182-2-220-2020−222−20000002-2-220-2020−222−2000000
χ194-44-40000000000000004-44-4000000000000000
χ201111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ211111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ22111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ23111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1
χ241111-1-1-1-11ii−i−iii−i−i1-1-1-1-1-11111-1−i−iii−i−iii-11
χ251111-1-1-1-11ii−i−i−i−iii-11-1-1-1-11111-1−i−iiiii−i−i1-1
χ261111-1-1-1-11−i−iiiii−i−i-11-1-1-1-11111-1ii−i−i−i−iii1-1
χ271111-1-1-1-11−i−iii−i−iii1-1-1-1-1-11111-1ii−i−iii−i−i-11
χ2822222-22-2-20000000000-2-2-2-2-22-2220000000000
χ292222-22-22-20000000000-2-2-2-22-22-220000000000
χ3022-2-220-20000002−22−200-2-222-202000000−22−2200
χ3122-2-220-2000000−22−2200-2-222-2020000002−22−200
χ3222-2-2-202000000i2−i2−i2i200-2-22220-2000000−i2i2i2−i200
χ3322-2-2-202000000−i2i2i2−i200-2-22220-2000000i2−i2−i2i200
χ342-2-22020-20i2−i2i2−i2000000-222-20-2020−i2i2−i2i2000000
χ352-2-22020-20−i2i2−i2i2000000-222-20-2020i2−i2i2−i2000000
χ362-2-220-20202−2−22000000-222-2020-20−222−2000000
χ372-2-220-2020−222−2000000-222-2020-202−2−22000000
χ384-44-4000000000000000-44-44000000000000000

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