Finite Group Databasebeta

← Group #83161

Character table — Group #83161

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222222222244444466666666888888242411112222222222444444666666668888882424
order122234444446661212121212128888888822666622222264444446661212121212128888888822666622
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
χ511111-1-1-1-11111111-1-1-1-11111-1-1-1-11-111-1-11-111111-1-1-1-11111111-1-1-1-11111-1-1-1-11-111-1-11-1
χ611111-1-1-1-11111111-1-1-1-11111-1-1-1-1-11-1-111-1111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-11-1-111-11
χ711111-1-1-1-11111111-1-1-1-1-1-1-1-111111-111-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-111111-111-1-1-11
χ811111-1-1-1-11111111-1-1-1-1-1-1-1-11111-11-1-1111-111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-11-1-1111-1
χ92222222-2-2-2-2222-2-222-2-200000000000000002222222-2-2-2-2222-2-222-2-20000000000000000
χ1022222-2-222-2-2222-2-2-2-222000000000000000022222-2-222-2-2222-2-2-2-2220000000000000000
χ112222-1222222-1-1-1-1-1-1-1-1-10000000022-1-1-1-1002222-1222222-1-1-1-1-1-1-1-1-10000000022-1-1-1-100
χ122222-1222222-1-1-1-1-1-1-1-1-100000000-2-21111002222-1222222-1-1-1-1-1-1-1-1-100000000-2-2111100
χ132222-122-2-2-2-2-1-1-111-1-1110000000000−i3i3−i3i3002222-122-2-2-2-2-1-1-111-1-1110000000000−i3i3−i3i300
χ142222-122-2-2-2-2-1-1-111-1-1110000000000i3−i3i3−i3002222-122-2-2-2-2-1-1-111-1-1110000000000i3−i3i3−i300
χ152222-1-2-222-2-2-1-1-11111-1-10000000000−i3i3i3−i3002222-1-2-222-2-2-1-1-11111-1-10000000000−i3i3i3−i300
χ162222-1-2-222-2-2-1-1-11111-1-10000000000i3−i3−i3i3002222-1-2-222-2-2-1-1-11111-1-10000000000i3−i3−i3i300
χ172222-1-2-2-2-222-1-1-1-1-11111000000002-2-1-111002222-1-2-2-2-222-1-1-1-1-11111000000002-2-1-11100
χ182222-1-2-2-2-222-1-1-1-1-1111100000000-2211-1-1002222-1-2-2-2-222-1-1-1-1-1111100000000-2211-1-100
χ1922-2-2200002-22-2-22-20000000022-2-20000000022-2-2200002-22-2-22-20000000022-2-200000000
χ2022-2-2200002-22-2-22-200000000-2-2220000000022-2-2200002-22-2-22-200000000-2-22200000000
χ2122-2-220000-222-2-2-22000022-2-200000000000022-2-220000-222-2-2-22000022-2-2000000000000
χ2222-2-220000-222-2-2-220000-2-22200000000000022-2-220000-222-2-2-220000-2-222000000000000
χ232-22-22002-200-22-200002-22−22−22−22−2000000002-22-22002-200-22-200002-22−22−22−22−200000000
χ242-22-22002-200-22-200002-2−22−22−22−22000000002-22-22002-200-22-200002-2−22−22−22−2200000000
χ252-22-2200-2200-22-20000-222−22−2−22−22000000002-22-2200-2200-22-20000-222−22−2−22−2200000000
χ262-22-2200-2200-22-20000-22−22−222−22−2000000002-22-2200-2200-22-20000-22−22−222−22−200000000
χ272-2-2222-20000-2-22002-2002−2−222−2−22000000002-2-2222-20000-2-22002-2002−2−222−2−2200000000
χ282-2-2222-20000-2-22002-200−222−2−222−2000000002-2-2222-20000-2-22002-200−222−2−222−200000000
χ292-2-222-220000-2-2200-22002−2−22−222−2000000002-2-222-220000-2-2200-22002−2−22−222−200000000
χ302-2-222-220000-2-2200-2200−222−22−2−22000000002-2-222-220000-2-2200-2200−222−22−2−2200000000
χ3144-4-4-200004-4-222-220000000000000000000044-4-4-200004-4-222-2200000000000000000000
χ3244-4-4-20000-44-2222-20000000000000000000044-4-4-20000-44-2222-200000000000000000000
χ334-44-4-2004-4002-220000-2200000000000000004-44-4-2004-4002-220000-220000000000000000
χ344-44-4-200-44002-2200002-200000000000000004-44-4-200-44002-2200002-20000000000000000
χ354-4-44-24-4000022-200-220000000000000000004-4-44-24-4000022-200-22000000000000000000
χ364-4-44-2-44000022-2002-20000000000000000004-4-44-2-44000022-2002-2000000000000000000
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
χ4111111-1-1-1-11111111-1-1-1-11111-1-1-1-11-111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-11111-11-1-111-11
χ4211111-1-1-1-11111111-1-1-1-11111-1-1-1-1-11-1-111-11-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-111111-111-1-11-1
χ4311111-1-1-1-11111111-1-1-1-1-1-1-1-111111-111-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-111111111-1-1-1-1-11-1-1111-1
χ4411111-1-1-1-11111111-1-1-1-1-1-1-1-11111-11-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-111111111-1-1-1-11-111-1-1-11
χ452222222-2-2-2-2222-2-222-2-20000000000000000-2-2-2-2-2-2-22222-2-2-222-2-2220000000000000000
χ4622222-2-222-2-2222-2-2-2-2220000000000000000-2-2-2-2-222-2-222-2-2-22222-2-20000000000000000
χ472222-1222222-1-1-1-1-1-1-1-1-10000000022-1-1-1-100-2-2-2-21-2-2-2-2-2-211111111100000000-2-2111100
χ482222-1222222-1-1-1-1-1-1-1-1-100000000-2-2111100-2-2-2-21-2-2-2-2-2-21111111110000000022-1-1-1-100
χ492222-122-2-2-2-2-1-1-111-1-1110000000000−i3i3−i3i300-2-2-2-21-2-22222111-1-111-1-10000000000i3−i3i3−i300
χ502222-122-2-2-2-2-1-1-111-1-1110000000000i3−i3i3−i300-2-2-2-21-2-22222111-1-111-1-10000000000−i3i3−i3i300
χ512222-1-2-222-2-2-1-1-11111-1-10000000000−i3i3i3−i300-2-2-2-2122-2-222111-1-1-1-1110000000000i3−i3−i3i300
χ522222-1-2-222-2-2-1-1-11111-1-10000000000i3−i3−i3i300-2-2-2-2122-2-222111-1-1-1-1110000000000−i3i3i3−i300
χ532222-1-2-2-2-222-1-1-1-1-11111000000002-2-1-11100-2-2-2-212222-2-211111-1-1-1-100000000-2211-1-100
χ542222-1-2-2-2-222-1-1-1-1-1111100000000-2211-1-100-2-2-2-212222-2-211111-1-1-1-1000000002-2-1-11100
χ5522-2-2200002-22-2-22-20000000022-2-200000000-2-222-20000-22-222-2200000000-2-22200000000
χ5622-2-2200002-22-2-22-200000000-2-22200000000-2-222-20000-22-222-220000000022-2-200000000
χ5722-2-220000-222-2-2-22000022-2-2000000000000-2-222-200002-2-2222-20000-2-222000000000000
χ5822-2-220000-222-2-2-220000-2-222000000000000-2-222-200002-2-2222-2000022-2-2000000000000
χ592-22-22002-200-22-200002-22−22−22−22−200000000-22-22-200-22002-220000-22−22−22−22−2200000000
χ602-22-22002-200-22-200002-2−22−22−22−2200000000-22-22-200-22002-220000-222−22−22−22−200000000
χ612-22-2200-2200-22-20000-222−22−2−22−2200000000-22-22-2002-2002-2200002-2−22−222−22−200000000
χ622-22-2200-2200-22-20000-22−22−222−22−200000000-22-22-2002-2002-2200002-22−22−2−22−2200000000
χ632-2-2222-20000-2-22002-2002−2−222−2−2200000000-222-2-2-22000022-200-2200−222−2−222−200000000
χ642-2-2222-20000-2-22002-200−222−2−222−200000000-222-2-2-22000022-200-22002−2−222−2−2200000000
χ652-2-222-220000-2-2200-22002−2−22−222−200000000-222-2-22-2000022-2002-200−222−22−2−2200000000
χ662-2-222-220000-2-2200-2200−222−22−2−2200000000-222-2-22-2000022-2002-2002−2−22−222−200000000
χ6744-4-4-200004-4-222-2200000000000000000000-4-44420000-442-2-22-200000000000000000000
χ6844-4-4-20000-44-2222-200000000000000000000-4-444200004-42-2-2-2200000000000000000000
χ694-44-4-2004-4002-220000-220000000000000000-44-44200-4400-22-200002-20000000000000000
χ704-44-4-200-44002-2200002-20000000000000000-44-442004-400-22-20000-220000000000000000
χ714-4-44-24-4000022-200-22000000000000000000-444-42-440000-2-22002-2000000000000000000
χ724-4-44-2-44000022-2002-2000000000000000000-444-424-40000-2-2200-22000000000000000000

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