Finite Group Databasebeta

← Group #1541

Character table — Group #1541

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
χ1122-2-2020-202−22−200000022-2-2020-202−22−2000000
χ1222-2-2020-20−22−2200000022-2-2020-20−22−22000000
χ1322-2-20-2020i2−i2−i2i200000022-2-20-2020i2−i2−i2i2000000
χ1422-2-20-2020−i2i2i2−i200000022-2-20-2020−i2i2i2−i2000000
χ152-22-220-20000002−22−2002-22-220-20000002−22−200
χ162-22-220-2000000−22−22002-22-220-2000000−22−2200
χ172-22-2-202000000i2−i2−i2i2002-22-2-202000000i2−i2−i2i200
χ182-22-2-202000000−i2i2i2−i2002-22-2-202000000−i2i2i2−i200
χ194-4-440000000000000004-4-44000000000000000
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
χ3022-2-2020-202−22−2000000-2-2220-2020−22−22000000
χ3122-2-2020-20−22−22000000-2-2220-20202−22−2000000
χ3222-2-20-2020i2−i2−i2i2000000-2-222020-20−i2i2i2−i2000000
χ3322-2-20-2020−i2i2i2−i2000000-2-222020-20i2−i2−i2i2000000
χ342-22-220-20000002−22−200-22-22-202000000−22−2200
χ352-22-220-2000000−22−2200-22-22-2020000002−22−200
χ362-22-2-202000000i2−i2−i2i200-22-2220-2000000−i2i2i2−i200
χ372-22-2-202000000−i2i2i2−i200-22-2220-2000000i2−i2−i2i200
χ384-4-44000000000000000-444-4000000000000000

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