Finite Group Databasebeta

← Group #3146

Character table — Group #3146

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size11112222222222222288881111222222222222228888
order12224444448888888822442222444444888888882244
χ111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1111111111111111111-1-1-1-1
χ31111111111-1-1-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-11-11-1
χ41111111111-1-1-1-1-1-1-1-1-11-111111111111-1-1-1-1-1-1-1-1-11-11
χ51111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-1
χ61111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111
χ71111-1-1-1-111-1-1-1-111111-1-111111-1-1-1-111-1-1-1-111111-1-11
χ81111-1-1-1-111-1-1-1-11111-111-11111-1-1-1-111-1-1-1-11111-111-1
χ9222222-2-2-2-2000000000000222222-2-2-2-2000000000000
χ102222-2-222-2-20000000000002222-2-222-2-2000000000000
χ1122-2-2002i−2i0022−2−2i2i2−i2−i2000022-2-2002i−2i0022−2−2i2i2−i2−i20000
χ1222-2-2002i−2i00−2−222−i2−i2i2i2000022-2-2002i−2i00−2−222−i2−i2i2i20000
χ1322-2-200−2i2i0022−2−2−i2−i2i2i2000022-2-200−2i2i0022−2−2−i2−i2i2i20000
χ1422-2-200−2i2i00−2−222i2i2−i2−i2000022-2-200−2i2i00−2−222i2i2−i2−i20000
χ152-22-22i−2i00002−22−2i2−i2i2−i200002-22-22i−2i00002−22−2i2−i2i2−i20000
χ162-22-22i−2i0000−22−22−i2i2−i2i200002-22-22i−2i0000−22−22−i2i2−i2i20000
χ172-22-2−2i2i00002−22−2−i2i2−i2i200002-22-2−2i2i00002−22−2−i2i2−i2i20000
χ182-22-2−2i2i0000−22−22i2−i2i2−i200002-22-2−2i2i0000−22−22i2−i2i2−i20000
χ192-2-2200002-200002-2-2200002-2-2200002-200002-2-220000
χ202-2-2200002-20000-222-200002-2-2200002-20000-222-20000
χ212-2-220000-222-2-22000000002-2-220000-222-2-2200000000
χ222-2-220000-22-222-2000000002-2-220000-22-222-200000000
χ231111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ24111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ251111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-111111111-11-11
χ261111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1111111111-11-1
χ271111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111
χ281111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ291111-1-1-1-111-1-1-1-111111-1-11-1-1-1-11111-1-11111-1-1-1-1-111-1
χ301111-1-1-1-111-1-1-1-11111-111-1-1-1-1-11111-1-11111-1-1-1-11-1-11
χ31222222-2-2-2-2000000000000-2-2-2-2-2-22222000000000000
χ322222-2-222-2-2000000000000-2-2-2-222-2-222000000000000
χ3322-2-2002i−2i0022−2−2i2i2−i2−i20000-2-22200−2i2i00−2−222−i2−i2i2i20000
χ3422-2-2002i−2i00−2−222−i2−i2i2i20000-2-22200−2i2i0022−2−2i2i2−i2−i20000
χ3522-2-200−2i2i0022−2−2−i2−i2i2i20000-2-222002i−2i00−2−222i2i2−i2−i20000
χ3622-2-200−2i2i00−2−222i2i2−i2−i20000-2-222002i−2i0022−2−2−i2−i2i2i20000
χ372-22-22i−2i00002−22−2i2−i2i2−i20000-22-22−2i2i0000−22−22−i2i2−i2i20000
χ382-22-22i−2i0000−22−22−i2i2−i2i20000-22-22−2i2i00002−22−2i2−i2i2−i20000
χ392-22-2−2i2i00002−22−2−i2i2−i2i20000-22-222i−2i0000−22−22i2−i2i2−i20000
χ402-22-2−2i2i0000−22−22i2−i2i2−i20000-22-222i−2i00002−22−2−i2i2−i2i20000
χ412-2-2200002-200002-2-220000-222-20000-220000-222-20000
χ422-2-2200002-20000-222-20000-222-20000-2200002-2-220000
χ432-2-220000-222-2-2200000000-222-200002-2-222-200000000
χ442-2-220000-22-222-200000000-222-200002-22-2-2200000000

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