Finite Group Databasebeta

← Group #78733

Character table — Group #78733

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222222222244444466666666888888242411112222222222444444666666668888882424
order1222344666888812122424242444448888246612122422226446668888121224242424444488882466121224
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
χ1522-2-222-2-22-20000-22000000002i2i−2i−2i0000000022-2-222-2-22-20000-22000000002i2i−2i−2i00000000
χ1622-2-222-2-22-20000-2200000000−2i−2i2i2i0000000022-2-222-2-22-20000-2200000000−2i−2i2i2i00000000
χ1722-2-22-22-22-22i2i−2i−2i2-22i2i−2i−2i000000000000000022-2-22-22-22-22i2i−2i−2i2-22i2i−2i−2i0000000000000000
χ1822-2-22-22-22-2−2i−2i2i2i2-2−2i−2i2i2i000000000000000022-2-22-22-22-2−2i−2i2i2i2-2−2i−2i2i2i0000000000000000
χ1922-2-2-1-221-112i2i−2i−2i-11−i−iii0000000000−i3i33−30022-2-2-1-221-112i2i−2i−2i-11−i−iii0000000000−i3i33−300
χ2022-2-2-1-221-112i2i−2i−2i-11−i−iii0000000000i3−i3−330022-2-2-1-221-112i2i−2i−2i-11−i−iii0000000000i3−i3−3300
χ2122-2-2-1-221-11−2i−2i2i2i-11ii−i−i0000000000−i3i3−330022-2-2-1-221-11−2i−2i2i2i-11ii−i−i0000000000−i3i3−3300
χ2222-2-2-1-221-11−2i−2i2i2i-11ii−i−i0000000000i3−i33−30022-2-2-1-221-11−2i−2i2i2i-11ii−i−i0000000000i3−i33−300
χ232-22-22002-2-2−i2i2−i2i200−i2i2−i2i22-200−i2i2−i2i2000000002-22-22002-2-2−i2i2−i2i200−i2i2−i2i22-200−i2i2−i2i200000000
χ242-22-22002-2-2−i2i2−i2i200−i2i2−i2i2-2200i2−i2i2−i2000000002-22-22002-2-2−i2i2−i2i200−i2i2−i2i2-2200i2−i2i2−i200000000
χ252-22-22002-2-2i2−i2i2−i200i2−i2i2−i22-200i2−i2i2−i2000000002-22-22002-2-2i2−i2i2−i200i2−i2i2−i22-200i2−i2i2−i200000000
χ262-22-22002-2-2i2−i2i2−i200i2−i2i2−i2-2200−i2i2−i2i2000000002-22-22002-2-2i2−i2i2−i200i2−i2i2−i2-2200−i2i2−i2i200000000
χ272-2-22200-2-222−2−22002−2−22002-22−2−22000000002-2-22200-2-222−2−22002−2−22002-22−2−2200000000
χ282-2-22200-2-222−2−22002−2−2200-22−222−2000000002-2-22200-2-222−2−22002−2−2200-22−222−200000000
χ292-2-22200-2-22−222−200−222−2002-2−222−2000000002-2-22200-2-22−222−200−222−2002-2−222−200000000
χ302-2-22200-2-22−222−200−222−200-222−2−22000000002-2-22200-2-22−222−200−222−200-222−2−2200000000
χ314444-2-4-4-2-2-2000022000000000000000000004444-2-4-4-2-2-200002200000000000000000000
χ3244-4-4-24-42-2200002-20000000000000000000044-4-4-24-42-2200002-200000000000000000000
χ334-44-4-200-222−2i22i2−2i22i200i2−i2i2−i200000000000000004-44-4-200-222−2i22i2−2i22i200i2−i2i2−i20000000000000000
χ344-44-4-200-2222i2−2i22i2−2i200−i2i2−i2i200000000000000004-44-4-200-2222i2−2i22i2−2i200−i2i2−i2i20000000000000000
χ354-4-44-20022-222−22−222200−222−200000000000000004-4-44-20022-222−22−222200−222−20000000000000000
χ364-4-44-20022-2−222222−22002−2−2200000000000000004-4-44-20022-2−222222−22002−2−220000000000000000
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
χ5122-2-222-2-22-20000-22000000002i2i−2i−2i00000000-2-222-2-222-2200002-200000000−2i−2i2i2i00000000
χ5222-2-222-2-22-20000-2200000000−2i−2i2i2i00000000-2-222-2-222-2200002-2000000002i2i−2i−2i00000000
χ5322-2-22-22-22-22i2i−2i−2i2-22i2i−2i−2i0000000000000000-2-222-22-22-22−2i−2i2i2i-22−2i−2i2i2i0000000000000000
χ5422-2-22-22-22-2−2i−2i2i2i2-2−2i−2i2i2i0000000000000000-2-222-22-22-222i2i−2i−2i-222i2i−2i−2i0000000000000000
χ5522-2-2-1-221-112i2i−2i−2i-11−i−iii0000000000−i3i33−300-2-22212-2-11-1−2i−2i2i2i1-1ii−i−i0000000000i3−i3−3300
χ5622-2-2-1-221-112i2i−2i−2i-11−i−iii0000000000i3−i3−3300-2-22212-2-11-1−2i−2i2i2i1-1ii−i−i0000000000−i3i33−300
χ5722-2-2-1-221-11−2i−2i2i2i-11ii−i−i0000000000−i3i3−3300-2-22212-2-11-12i2i−2i−2i1-1−i−iii0000000000i3−i33−300
χ5822-2-2-1-221-11−2i−2i2i2i-11ii−i−i0000000000i3−i33−300-2-22212-2-11-12i2i−2i−2i1-1−i−iii0000000000−i3i3−3300
χ592-22-22002-2-2−i2i2−i2i200−i2i2−i2i22-200−i2i2−i2i200000000-22-22-200-222i2−i2i2−i200i2−i2i2−i2-2200i2−i2i2−i200000000
χ602-22-22002-2-2−i2i2−i2i200−i2i2−i2i2-2200i2−i2i2−i200000000-22-22-200-222i2−i2i2−i200i2−i2i2−i22-200−i2i2−i2i200000000
χ612-22-22002-2-2i2−i2i2−i200i2−i2i2−i22-200i2−i2i2−i200000000-22-22-200-222−i2i2−i2i200−i2i2−i2i2-2200−i2i2−i2i200000000
χ622-22-22002-2-2i2−i2i2−i200i2−i2i2−i2-2200−i2i2−i2i200000000-22-22-200-222−i2i2−i2i200−i2i2−i2i22-200i2−i2i2−i200000000
χ632-2-22200-2-222−2−22002−2−22002-22−2−2200000000-222-2-20022-2−222−200−222−200-22−222−200000000
χ642-2-22200-2-222−2−22002−2−2200-22−222−200000000-222-2-20022-2−222−200−222−2002-22−2−2200000000
χ652-2-22200-2-22−222−200−222−2002-2−222−200000000-222-2-20022-22−2−22002−2−2200-222−2−2200000000
χ662-2-22200-2-22−222−200−222−200-222−2−2200000000-222-2-20022-22−2−22002−2−22002-2−222−200000000
χ674444-2-4-4-2-2-200002200000000000000000000-4-4-4-42442220000-2-200000000000000000000
χ6844-4-4-24-42-2200002-200000000000000000000-4-4442-44-22-20000-2200000000000000000000
χ694-44-4-200-222−2i22i2−2i22i200i2−i2i2−i20000000000000000-44-442002-2-22i2−2i22i2−2i200−i2i2−i2i20000000000000000
χ704-44-4-200-2222i2−2i22i2−2i200−i2i2−i2i20000000000000000-44-442002-2-2−2i22i2−2i22i200i2−i2i2−i20000000000000000
χ714-4-44-20022-222−22−222200−222−20000000000000000-444-4200-2-22−222222−22002−2−220000000000000000
χ724-4-44-20022-2−222222−22002−2−220000000000000000-444-4200-2-2222−22−222200−222−20000000000000000

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