Finite Group Databasebeta

← Group #79148

Character table — Group #79148

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222222222244444466666666888888242411112222222222444444666666668888882424
order12223446668888121224242424224488884412121212442222644666888812122424242422448888441212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1111111-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-11-11111111111-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-11-1
χ61111111111-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-111-111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-111-11
χ71111111111-1-1-1-111-1-1-1-1-1-1-1-111111-111-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-111-1-1-11
χ81111111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-1-1111-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-1-1111-1
χ922222-2-22220000-2-2000022-2-200000000000022222-2-22220000-2-2000022-2-2000000000000
χ1022222-2-22220000-2-20000-2-22200000000000022222-2-22220000-2-20000-2-222000000000000
χ112222-122-1-1-12222-1-1-1-1-1-10000000022-1-1-1-1002222-122-1-1-12222-1-1-1-1-1-10000000022-1-1-1-100
χ122222-122-1-1-12222-1-1-1-1-1-100000000-2-21111002222-122-1-1-12222-1-1-1-1-1-100000000-2-2111100
χ132222-122-1-1-1-2-2-2-2-1-11111000000002-2-1-111002222-122-1-1-1-2-2-2-2-1-11111000000002-2-1-11100
χ142222-122-1-1-1-2-2-2-2-1-1111100000000-2211-1-1002222-122-1-1-1-2-2-2-2-1-1111100000000-2211-1-100
χ1522-2-22002-2-222−2−20022−2−22-20022−2−20000000022-2-22002-2-222−2−20022−2−22-20022−2−200000000
χ1622-2-22002-2-222−2−20022−2−2-2200−2−2220000000022-2-22002-2-222−2−20022−2−2-2200−2−22200000000
χ1722-2-22002-2-2−2−22200−2−2222-200−2−2220000000022-2-22002-2-2−2−22200−2−2222-200−2−22200000000
χ1822-2-22002-2-2−2−22200−2−222-220022−2−20000000022-2-22002-2-2−2−22200−2−222-220022−2−200000000
χ192-22-2200-2-222−22−2002−22−2002i−2i−i2i2−i2i2000000002-22-2200-2-222−22−2002−22−2002i−2i−i2i2−i2i200000000
χ202-22-2200-2-222−22−2002−22−200−2i2ii2−i2i2−i2000000002-22-2200-2-222−22−2002−22−200−2i2ii2−i2i2−i200000000
χ212-22-2200-2-22−22−2200−22−22002i−2ii2−i2i2−i2000000002-22-2200-2-22−22−2200−22−22002i−2ii2−i2i2−i200000000
χ222-22-2200-2-22−22−2200−22−2200−2i2i−i2i2−i2i2000000002-22-2200-2-22−22−2200−22−2200−2i2i−i2i2−i2i200000000
χ232-2-2222-2-22-200002-2000000002i−2i−2i2i000000002-2-2222-2-22-200002-2000000002i−2i−2i2i00000000
χ242-2-2222-2-22-200002-200000000−2i2i2i−2i000000002-2-2222-2-22-200002-200000000−2i2i2i−2i00000000
χ252-2-222-22-22-22-2-22-222-2-2200000000000000002-2-222-22-22-22-2-22-222-2-220000000000000000
χ262-2-222-22-22-2-222-2-22-222-200000000000000002-2-222-22-22-2-222-2-22-222-20000000000000000
χ272-2-22-1-221-112-2-221-1-111-100000000003−33−3002-2-22-1-221-112-2-221-1-111-100000000003−33−300
χ282-2-22-1-221-112-2-221-1-111-10000000000−33−33002-2-22-1-221-112-2-221-1-111-10000000000−33−3300
χ292-2-22-1-221-11-222-21-11-1-1100000000003−3−33002-2-22-1-221-11-222-21-11-1-1100000000003−3−3300
χ302-2-22-1-221-11-222-21-11-1-110000000000−333−3002-2-22-1-221-11-222-21-11-1-110000000000−333−300
χ314444-2-4-4-2-2-2000022000000000000000000004444-2-4-4-2-2-200002200000000000000000000
χ3244-4-4-200-2222222−22−2200−2−222000000000000000044-4-4-200-2222222−22−2200−2−2220000000000000000
χ3344-4-4-200-222−22−2222220022−2−2000000000000000044-4-4-200-222−22−2222220022−2−20000000000000000
χ344-44-4-20022-222−2222−2200−22−2200000000000000004-44-4-20022-222−2222−2200−22−220000000000000000
χ354-44-4-20022-2−2222−2222002−22−200000000000000004-44-4-20022-2−2222−2222002−22−20000000000000000
χ364-4-44-24-42-220000-22000000000000000000004-4-44-24-42-220000-2200000000000000000000
χ37111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ381111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ3911111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ4011111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ411111111111-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-11-1-111-11
χ421111111111-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-111-11-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111-111-1-11-1
χ431111111111-1-1-1-111-1-1-1-1-1-1-1-111111-111-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-11-1-1111-1
χ441111111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-1-1111-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11-111-1-1-11
χ4522222-2-22220000-2-2000022-2-2000000000000-2-2-2-2-222-2-2-20000220000-2-222000000000000
χ4622222-2-22220000-2-20000-2-222000000000000-2-2-2-2-222-2-2-2000022000022-2-2000000000000
χ472222-122-1-1-12222-1-1-1-1-1-10000000022-1-1-1-100-2-2-2-21-2-2111-2-2-2-211111100000000-2-2111100
χ482222-122-1-1-12222-1-1-1-1-1-100000000-2-2111100-2-2-2-21-2-2111-2-2-2-21111110000000022-1-1-1-100
χ492222-122-1-1-1-2-2-2-2-1-11111000000002-2-1-11100-2-2-2-21-2-2111222211-1-1-1-100000000-2211-1-100
χ502222-122-1-1-1-2-2-2-2-1-1111100000000-2211-1-100-2-2-2-21-2-2111222211-1-1-1-1000000002-2-1-11100
χ5122-2-22002-2-222−2−20022−2−22-20022−2−200000000-2-222-200-222−2−22200−2−222-2200−2−22200000000
χ5222-2-22002-2-222−2−20022−2−2-2200−2−22200000000-2-222-200-222−2−22200−2−2222-20022−2−200000000
χ5322-2-22002-2-2−2−22200−2−2222-200−2−22200000000-2-222-200-22222−2−20022−2−2-220022−2−200000000
χ5422-2-22002-2-2−2−22200−2−222-220022−2−200000000-2-222-200-22222−2−20022−2−22-200−2−22200000000
χ552-22-2200-2-222−22−2002−22−2002i−2i−i2i2−i2i200000000-22-22-20022-2−22−2200−22−2200−2i2ii2−i2i2−i200000000
χ562-22-2200-2-222−22−2002−22−200−2i2ii2−i2i2−i200000000-22-22-20022-2−22−2200−22−22002i−2i−i2i2−i2i200000000
χ572-22-2200-2-22−22−2200−22−22002i−2ii2−i2i2−i200000000-22-22-20022-22−22−2002−22−200−2i2i−i2i2−i2i200000000
χ582-22-2200-2-22−22−2200−22−2200−2i2i−i2i2−i2i200000000-22-22-20022-22−22−2002−22−2002i−2ii2−i2i2−i200000000
χ592-2-2222-2-22-200002-2000000002i−2i−2i2i00000000-222-2-2-222-220000-2200000000−2i2i2i−2i00000000
χ602-2-2222-2-22-200002-200000000−2i2i2i−2i00000000-222-2-2-222-220000-22000000002i−2i−2i2i00000000
χ612-2-222-22-22-22-2-22-222-2-220000000000000000-222-2-22-22-22-222-22-2-222-20000000000000000
χ622-2-222-22-22-2-222-2-22-222-20000000000000000-222-2-22-22-222-2-222-22-2-220000000000000000
χ632-2-22-1-221-112-2-221-1-111-100000000003−33−300-222-212-2-11-1-222-2-111-1-110000000000−33−3300
χ642-2-22-1-221-112-2-221-1-111-10000000000−33−3300-222-212-2-11-1-222-2-111-1-1100000000003−33−300
χ652-2-22-1-221-11-222-21-11-1-1100000000003−3−3300-222-212-2-11-12-2-22-11-111-10000000000−333−300
χ662-2-22-1-221-11-222-21-11-1-110000000000−333−300-222-212-2-11-12-2-22-11-111-100000000003−3−3300
χ674444-2-4-4-2-2-200002200000000000000000000-4-4-4-42442220000-2-200000000000000000000
χ6844-4-4-200-2222222−22−2200−2−2220000000000000000-4-4442002-2-2−22−2222220022−2−20000000000000000
χ6944-4-4-200-222−22−2222220022−2−20000000000000000-4-4442002-2-22222−22−2200−2−2220000000000000000
χ704-44-4-20022-222−2222−2200−22−220000000000000000-44-44200-2-22−2222−2222002−22−20000000000000000
χ714-44-4-20022-2−2222−2222002−22−20000000000000000-44-44200-2-2222−2222−2200−22−220000000000000000
χ724-4-44-24-42-220000-2200000000000000000000-444-42-44-22-200002-200000000000000000000

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