Finite Group Databasebeta

← Group #78734

Character table — Group #78734

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222222222244444466666666888888242411112222222222444444666666668888882424
order1222344666888812122424242444448888246612124422226446668888121224242424444488882466121244
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
χ1522-2-2200-2-2222−2−20022−2−2002i−2i−i2−i2i2i20000000022-2-2200-2-2222−2−20022−2−2002i−2i−i2−i2i2i200000000
χ1622-2-2200-2-2222−2−20022−2−200−2i2ii2i2−i2−i20000000022-2-2200-2-2222−2−20022−2−200−2i2ii2i2−i2−i200000000
χ1722-2-2200-2-22−2−22200−2−222002i−2ii2i2−i2−i20000000022-2-2200-2-22−2−22200−2−222002i−2ii2i2−i2−i200000000
χ1822-2-2200-2-22−2−22200−2−22200−2i2i−i2−i2i2i20000000022-2-2200-2-22−2−22200−2−22200−2i2i−i2−i2i2i200000000
χ192-22-222-2-22-20000-22000000002i−2i2i−2i000000002-22-222-2-22-20000-22000000002i−2i2i−2i00000000
χ202-22-222-2-22-20000-2200000000−2i2i−2i2i000000002-22-222-2-22-20000-2200000000−2i2i−2i2i00000000
χ212-22-22-22-22-22i−2i2i−2i2-22i−2i2i−2i00000000000000002-22-22-22-22-22i−2i2i−2i2-22i−2i2i−2i0000000000000000
χ222-22-22-22-22-2−2i2i−2i2i2-2−2i2i−2i2i00000000000000002-22-22-22-22-2−2i2i−2i2i2-2−2i2i−2i2i0000000000000000
χ232-22-2-1-221-112i−2i2i−2i-11−ii−ii0000000000−i3i33−3002-22-2-1-221-112i−2i2i−2i-11−ii−ii0000000000−i3i33−300
χ242-22-2-1-221-112i−2i2i−2i-11−ii−ii0000000000i3−i3−33002-22-2-1-221-112i−2i2i−2i-11−ii−ii0000000000i3−i3−3300
χ252-22-2-1-221-11−2i2i−2i2i-11i−ii−i0000000000−i3i3−33002-22-2-1-221-11−2i2i−2i2i-11i−ii−i0000000000−i3i3−3300
χ262-22-2-1-221-11−2i2i−2i2i-11i−ii−i0000000000i3−i33−3002-22-2-1-221-11−2i2i−2i2i-11i−ii−i0000000000i3−i33−300
χ272-2-222002-2-2−i2i2i2−i200−i2i2i2−i22i−2i002−2−22000000002-2-222002-2-2−i2i2i2−i200−i2i2i2−i22i−2i002−2−2200000000
χ282-2-222002-2-2−i2i2i2−i200−i2i2i2−i2−2i2i00−222−2000000002-2-222002-2-2−i2i2i2−i200−i2i2i2−i2−2i2i00−222−200000000
χ292-2-222002-2-2i2−i2−i2i200i2−i2−i2i22i−2i00−222−2000000002-2-222002-2-2i2−i2−i2i200i2−i2−i2i22i−2i00−222−200000000
χ302-2-222002-2-2i2−i2−i2i200i2−i2−i2i2−2i2i002−2−22000000002-2-222002-2-2i2−i2−i2i200i2−i2−i2i2−2i2i002−2−2200000000
χ314444-2-4-4-2-2-2000022000000000000000000004444-2-4-4-2-2-200002200000000000000000000
χ3244-4-4-20022-22222−22−2200−2−222000000000000000044-4-4-20022-22222−22−2200−2−2220000000000000000
χ3344-4-4-20022-2−22−2222220022−2−2000000000000000044-4-4-20022-2−22−2222220022−2−20000000000000000
χ344-44-4-24-42-2200002-2000000000000000000004-44-4-24-42-2200002-200000000000000000000
χ354-4-44-200-222−2i22i22i2−2i200i2−i2−i2i200000000000000004-4-44-200-222−2i22i22i2−2i200i2−i2−i2i20000000000000000
χ364-4-44-200-2222i2−2i2−2i22i200−i2i2i2−i200000000000000004-4-44-200-2222i2−2i2−2i22i200−i2i2i2−i20000000000000000
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
χ5122-2-2200-2-2222−2−20022−2−2002i−2i−i2−i2i2i200000000-2-222-20022-2−2−22200−2−22200−2i2ii2i2−i2−i200000000
χ5222-2-2200-2-2222−2−20022−2−200−2i2ii2i2−i2−i200000000-2-222-20022-2−2−22200−2−222002i−2i−i2−i2i2i200000000
χ5322-2-2200-2-22−2−22200−2−222002i−2ii2i2−i2−i200000000-2-222-20022-222−2−20022−2−200−2i2i−i2−i2i2i200000000
χ5422-2-2200-2-22−2−22200−2−22200−2i2i−i2−i2i2i200000000-2-222-20022-222−2−20022−2−2002i−2ii2i2−i2−i200000000
χ552-22-222-2-22-20000-22000000002i−2i2i−2i00000000-22-22-2-222-2200002-200000000−2i2i−2i2i00000000
χ562-22-222-2-22-20000-2200000000−2i2i−2i2i00000000-22-22-2-222-2200002-2000000002i−2i2i−2i00000000
χ572-22-22-22-22-22i−2i2i−2i2-22i−2i2i−2i0000000000000000-22-22-22-22-22−2i2i−2i2i-22−2i2i−2i2i0000000000000000
χ582-22-22-22-22-2−2i2i−2i2i2-2−2i2i−2i2i0000000000000000-22-22-22-22-222i−2i2i−2i-222i−2i2i−2i0000000000000000
χ592-22-2-1-221-112i−2i2i−2i-11−ii−ii0000000000−i3i33−300-22-2212-2-11-1−2i2i−2i2i1-1i−ii−i0000000000i3−i3−3300
χ602-22-2-1-221-112i−2i2i−2i-11−ii−ii0000000000i3−i3−3300-22-2212-2-11-1−2i2i−2i2i1-1i−ii−i0000000000−i3i33−300
χ612-22-2-1-221-11−2i2i−2i2i-11i−ii−i0000000000−i3i3−3300-22-2212-2-11-12i−2i2i−2i1-1−ii−ii0000000000i3−i33−300
χ622-22-2-1-221-11−2i2i−2i2i-11i−ii−i0000000000i3−i33−300-22-2212-2-11-12i−2i2i−2i1-1−ii−ii0000000000−i3i3−3300
χ632-2-222002-2-2−i2i2i2−i200−i2i2i2−i22i−2i002−2−2200000000-222-2-200-222i2−i2−i2i200i2−i2−i2i2−2i2i00−222−200000000
χ642-2-222002-2-2−i2i2i2−i200−i2i2i2−i2−2i2i00−222−200000000-222-2-200-222i2−i2−i2i200i2−i2−i2i22i−2i002−2−2200000000
χ652-2-222002-2-2i2−i2−i2i200i2−i2−i2i22i−2i00−222−200000000-222-2-200-222−i2i2i2−i200−i2i2i2−i2−2i2i002−2−2200000000
χ662-2-222002-2-2i2−i2−i2i200i2−i2−i2i2−2i2i002−2−2200000000-222-2-200-222−i2i2i2−i200−i2i2i2−i22i−2i00−222−200000000
χ674444-2-4-4-2-2-200002200000000000000000000-4-4-4-42442220000-2-200000000000000000000
χ6844-4-4-20022-22222−22−2200−2−2220000000000000000-4-444200-2-22−22−2222220022−2−20000000000000000
χ6944-4-4-20022-2−22−2222220022−2−20000000000000000-4-444200-2-222222−22−2200−2−2220000000000000000
χ704-44-4-24-42-2200002-200000000000000000000-44-442-44-22-20000-2200000000000000000000
χ714-4-44-200-222−2i22i22i2−2i200i2−i2−i2i20000000000000000-444-42002-2-22i2−2i2−2i22i200−i2i2i2−i20000000000000000
χ724-4-44-200-2222i2−2i2−2i22i200−i2i2i2−i20000000000000000-444-42002-2-2−2i22i22i2−2i200i2−i2−i2i20000000000000000

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