Finite Group Databasebeta

← Group #80713

Character table — Group #80713

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222222222222288882222444444444444441616161633336666666666666624242424
order12222244448888888822443666661212121224242424242424246612122222224444888888882244
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1111111111111111111-1-1-1-1111111111111111111-1-1-1-1
χ31111111111-1-1-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-11-11-1
χ41111111111-1-1-1-1-1-1-1-1-11-111111111111-1-1-1-1-1-1-1-1-11-111111111111-1-1-1-1-1-1-1-1-11-11
χ51111-1-11-1-111111-1-1-1-111-1-11111-1-11-1-111111-1-1-1-111-1-11111-1-11-1-111111-1-1-1-111-1-1
χ61111-1-11-1-111111-1-1-1-1-1-1111111-1-11-1-111111-1-1-1-1-1-1111111-1-11-1-111111-1-1-1-1-1-111
χ71111-1-11-1-11-1-1-1-111111-1-111111-1-11-1-11-1-1-1-111111-1-111111-1-11-1-11-1-1-1-111111-1-11
χ81111-1-11-1-11-1-1-1-11111-111-11111-1-11-1-11-1-1-1-11111-111-11111-1-11-1-11-1-1-1-11111-111-1
χ9222222-2-2-2-2000000000000222222-2-2-2-2000000000000222222-2-2-2-2000000000000
χ102222-2-2-222-20000000000002222-2-2-222-20000000000002222-2-2-222-2000000000000
χ1122-2-20002i−2i022−2−2i2i2−i2−i2000022-2-20002i−2i022−2−2i2i2−i2−i2000022-2-20002i−2i022−2−2i2i2−i2−i20000
χ1222-2-20002i−2i0−2−222−i2−i2i2i2000022-2-20002i−2i0−2−222−i2−i2i2i2000022-2-20002i−2i0−2−222−i2−i2i2i20000
χ1322-2-2000−2i2i022−2−2−i2−i2i2i2000022-2-2000−2i2i022−2−2−i2−i2i2i2000022-2-2000−2i2i022−2−2−i2−i2i2i20000
χ1422-2-2000−2i2i0−2−222i2i2−i2−i2000022-2-2000−2i2i0−2−222i2i2−i2−i2000022-2-2000−2i2i0−2−222i2i2−i2−i20000
χ152-22-200200-200002i−2i2i−2i00002-22-200200-200002i−2i2i−2i00002-22-200200-200002i−2i2i−2i0000
χ162-22-200200-20000−2i2i−2i2i00002-22-200200-20000−2i2i−2i2i00002-22-200200-20000−2i2i−2i2i0000
χ172-22-200-20022-22-2000000002-22-200-20022-22-2000000002-22-200-20022-22-200000000
χ182-22-200-2002-22-22000000002-22-200-2002-22-22000000002-22-200-2002-22-2200000000
χ192-2-222-200002−2−222−2−2200002-2-222-200002−2−222−2−2200002-2-222-200002−2−222−2−220000
χ202-2-222-20000−222−2−222−200002-2-222-20000−222−2−222−200002-2-222-20000−222−2−222−20000
χ212-2-22-2200002−2−22−222−200002-2-22-2200002−2−22−222−200002-2-22-2200002−2−22−222−20000
χ222-2-22-220000−222−22−2−2200002-2-22-220000−222−22−2−2200002-2-22-220000−222−22−2−220000
χ2311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ24111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ251111111111-1-1-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-111111111-11-11
χ261111111111-1-1-1-1-1-1-1-1-11-111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1111111111-11-1
χ271111-1-11-1-111111-1-1-1-111-1-11111-1-11-1-111111-1-1-1-111-1-1-1-1-1-111-111-1-1-1-1-11111-1-111
χ281111-1-11-1-111111-1-1-1-1-1-1111111-1-11-1-111111-1-1-1-1-1-111-1-1-1-111-111-1-1-1-1-1111111-1-1
χ291111-1-11-1-11-1-1-1-111111-1-111111-1-11-1-11-1-1-1-111111-1-11-1-1-1-111-111-11111-1-1-1-1-111-1
χ301111-1-11-1-11-1-1-1-11111-111-11111-1-11-1-11-1-1-1-11111-111-1-1-1-1-111-111-11111-1-1-1-11-1-11
χ31222222-2-2-2-2000000000000222222-2-2-2-2000000000000-2-2-2-2-2-22222000000000000
χ322222-2-2-222-20000000000002222-2-2-222-2000000000000-2-2-2-2222-2-22000000000000
χ3322-2-20002i−2i022−2−2i2i2−i2−i2000022-2-20002i−2i022−2−2i2i2−i2−i20000-2-222000−2i2i0−2−222−i2−i2i2i20000
χ3422-2-20002i−2i0−2−222−i2−i2i2i2000022-2-20002i−2i0−2−222−i2−i2i2i20000-2-222000−2i2i022−2−2i2i2−i2−i20000
χ3522-2-2000−2i2i022−2−2−i2−i2i2i2000022-2-2000−2i2i022−2−2−i2−i2i2i20000-2-2220002i−2i0−2−222i2i2−i2−i20000
χ3622-2-2000−2i2i0−2−222i2i2−i2−i2000022-2-2000−2i2i0−2−222i2i2−i2−i20000-2-2220002i−2i022−2−2−i2−i2i2i20000
χ372-22-200200-200002i−2i2i−2i00002-22-200200-200002i−2i2i−2i0000-22-2200-20020000−2i2i−2i2i0000
χ382-22-200200-20000−2i2i−2i2i00002-22-200200-20000−2i2i−2i2i0000-22-2200-200200002i−2i2i−2i0000
χ392-22-200-20022-22-2000000002-22-200-20022-22-200000000-22-2200200-2-22-2200000000
χ402-22-200-2002-22-22000000002-22-200-2002-22-2200000000-22-2200200-22-22-200000000
χ412-2-222-200002−2−222−2−2200002-2-222-200002−2−222−2−220000-222-2-220000−222−2−222−20000
χ422-2-222-20000−222−2−222−200002-2-222-20000−222−2−222−20000-222-2-2200002−2−222−2−220000
χ432-2-22-2200002−2−22−222−200002-2-22-2200002−2−22−222−20000-222-22-20000−222−22−2−220000
χ442-2-22-220000−222−22−2−2200002-2-22-220000−222−22−2−220000-222-22-200002−2−22−222−20000
χ452222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000
χ46222222222222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111110000000000000000000000
χ472222222222-2-2-2-2-2-2-2-22-22-2-1-1-1-1-1-1-1-1-1-111111111-11-110000000000000000000000
χ482222222222-2-2-2-2-2-2-2-2-22-22-1-1-1-1-1-1-1-1-1-1111111111-11-10000000000000000000000
χ492222-2-22-2-222222-2-2-2-222-2-2-1-1-1-111-111-1-1-1-1-11111-1-1110000000000000000000000
χ502222-2-22-2-222222-2-2-2-2-2-222-1-1-1-111-111-1-1-1-1-1111111-1-10000000000000000000000
χ512222-2-22-2-22-2-2-2-222222-2-22-1-1-1-111-111-11111-1-1-1-1-111-10000000000000000000000
χ522222-2-22-2-22-2-2-2-22222-222-2-1-1-1-111-111-11111-1-1-1-11-1-110000000000000000000000
χ53444444-4-4-4-4000000000000-2-2-2-2-2-222220000000000000000000000000000000000
χ544444-4-4-444-4000000000000-2-2-2-2222-2-220000000000000000000000000000000000
χ5544-4-40004i−4i02222−22−222i22i2−2i2−2i20000-2-222000−2i2i0−2−222−i2−i2i2i200000000000000000000000000
χ5644-4-40004i−4i0−22−222222−2i2−2i22i22i20000-2-222000−2i2i022−2−2i2i2−i2−i200000000000000000000000000
χ5744-4-4000−4i4i02222−22−22−2i2−2i22i22i20000-2-2220002i−2i0−2−222i2i2−i2−i200000000000000000000000000
χ5844-4-4000−4i4i0−22−2222222i22i2−2i2−2i20000-2-2220002i−2i022−2−2−i2−i2i2i200000000000000000000000000
χ594-44-400400-400004i−4i4i−4i0000-22-2200-20020000−2i2i−2i2i00000000000000000000000000
χ604-44-400400-40000−4i4i−4i4i0000-22-2200-200200002i−2i2i−2i00000000000000000000000000
χ614-44-400-40044-44-400000000-22-2200200-2-22-22000000000000000000000000000000
χ624-44-400-4004-44-4400000000-22-2200200-22-22-2000000000000000000000000000000
χ634-4-444-4000022−22−222222−22−22220000-222-2-220000−222−2−222−200000000000000000000000000
χ644-4-444-40000−222222−22−222222−220000-222-2-2200002−2−222−2−2200000000000000000000000000
χ654-4-44-44000022−22−2222−222222−220000-222-22-20000−222−22−2−2200000000000000000000000000
χ664-4-44-440000−222222−2222−22−22220000-222-22-200002−2−22−222−200000000000000000000000000

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