Finite Group Databasebeta

← Group #83643

Character table — Group #83643

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112222222222224444444444444444466668888888888881212121212121212242424
order12223444444446662244466661212121212121212888844412121212121212121244888888224
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-1111-1-1-1-1111111111111-1-1-111-1-11-1-1-1-1-1-1111111-1-1-1
χ41111111111111111-1-1111-1-1-1-111111111-1-1-1-1-1-1-111-1-11-1-1-1-111-1-1-1-1-1-1111
χ51111111-1-1-1-11111111-1-1111111111-1-1-1-111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-11
χ61111111-1-1-1-11111111-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1111111-1
χ71111111-1-1-1-111111-1-1-1-11-1-1-1-11111-1-1-1-11111-111-1-1-1-111111-1-111-1-1-1-111-1
χ81111111-1-1-1-111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-11111-1-11
χ911111-1-111-1-111111111-1-1111111-1-111-1-11111-11-11-1-1-1-111-1-111-1-111-1-11-1-1
χ1011111-1-111-1-111111111-1-1111111-1-111-1-1-1-1-1-1-11-11-1-1-1-111-1-1-1-111-1-111-111
χ1111111-1-111-1-111111-1-11-1-1-1-1-1-111-1-111-1-111111-111-111-1-1-111-1-1-1-111-1-1-111
χ1211111-1-111-1-111111-1-11-1-1-1-1-1-111-1-111-1-1-1-1-1-11-111-111-1-1-1111111-1-1111-1-1
χ1311111-1-1-1-1111111111-11-1111111-1-1-1-1111111-1-11-11-1-1-1-1-11111-1-1-1-111-11-1
χ1411111-1-1-1-1111111111-11-1111111-1-1-1-111-1-1-1-1-1-11-11-1-1-1-1-111-1-11111-1-11-11
χ1511111-1-1-1-11111111-1-1-11-1-1-1-1-111-1-1-1-111111111-1-1111-111-1-1-1-1-1-1-1-1111-11
χ1611111-1-1-1-11111111-1-1-11-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1111-111-1-1111111-1-1-11-1
χ1722222222222-2-222200-2-2-20000-2-22222220000000-2-200-2000000000000000
χ182222222-2-2-2-2-2-22220022-20000-2-222-2-2-2-200000002200-2000000000000000
χ1922222-2-222-2-2-2-222200-2220000-2-2-2-222-2-20000000-22002000000000000000
χ2022222-2-2-2-222-2-2222002-220000-2-2-2-2-2-22200000002-2002000000000000000
χ212222-122222222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-10000222-1-1-1-1-1-1-1-1-100000000000
χ222222-122222222-1-1-1-2-22221111-1-1-1-1-1-1-1-10000-2-2-2-1-111-1111100000000000
χ232222-1222222-2-2-1-1-100-2-2-2−i3−i3i3i311-1-1-1-1-1-1000000011−i3i31−i3i3−i3i300000000000
χ242222-1222222-2-2-1-1-100-2-2-2i3i3−i3−i311-1-1-1-1-1-1000000011i3−i31i3−i3i3−i300000000000
χ252222-122-2-2-2-222-1-1-122-2-22-1-1-1-1-1-1-1-1111100002-2-211-1-1-1111100000000000
χ262222-122-2-2-2-222-1-1-1-2-2-2-221111-1-1-1-111110000-2221111-1-1-1-1-100000000000
χ272222-122-2-2-2-2-2-2-1-1-10022-2−i3−i3i3i311-1-111110000000-1-1−i3i31i3−i3i3−i300000000000
χ282222-122-2-2-2-2-2-2-1-1-10022-2i3i3−i3−i311-1-111110000000-1-1i3−i31−i3i3−i3i300000000000
χ292222-1-2-222-2-222-1-1-1222-2-2-1-1-1-1-1-111-1-1110000-22-2-11111-1-11100000000000
χ302222-1-2-222-2-222-1-1-1-2-22-2-21111-1-111-1-11100002-22-11-1-1111-1-100000000000
χ312222-1-2-222-2-2-2-2-1-1-100-222−i3−i3i3i31111-1-11100000001-1i3−i3-1−i3i3i3−i300000000000
χ322222-1-2-222-2-2-2-2-1-1-100-222i3i3−i3−i31111-1-11100000001-1−i3i3-1i3−i3−i3i300000000000
χ332222-1-2-2-2-22222-1-1-122-22-2-1-1-1-1-1-11111-1-10000-2-221-111111-1-100000000000
χ342222-1-2-2-2-22222-1-1-1-2-2-22-21111-1-11111-1-1000022-21-1-1-11-1-11100000000000
χ352222-1-2-2-2-222-2-2-1-1-1002-22−i3−i3i3i3111111-1-10000000-11i3−i3-1i3−i3−i3i300000000000
χ362222-1-2-2-2-222-2-2-1-1-1002-22i3i3−i3−i3111111-1-10000000-11−i3i3-1−i3i3i3−i300000000000
χ3722-2-222-22i−2i2i−2i00-22-2000000000002-22i−2i2i−2i−i2−i2i2i200000000000000−i2i22−22−2000
χ3822-2-222-22i−2i2i−2i00-22-2000000000002-22i−2i2i−2ii2i2−i2−i200000000000000i2−i2−22−22000
χ3922-2-222-2−2i2i−2i2i00-22-2000000000002-2−2i2i−2i2i−i2−i2i2i200000000000000−i2i2−22−22000
χ4022-2-222-2−2i2i−2i2i00-22-2000000000002-2−2i2i−2i2ii2i2−i2−i200000000000000i2−i22−22−2000
χ4122-2-22-222i−2i−2i2i00-22-200000000000-222i−2i−2i2i−i2−i2i2i200000000000000i2−i22−2−22000
χ4222-2-22-222i−2i−2i2i00-22-200000000000-222i−2i−2i2ii2i2−i2−i200000000000000−i2i2−222−2000
χ4322-2-22-22−2i2i2i−2i00-22-200000000000-22−2i2i2i−2i−i2−i2i2i200000000000000i2−i2−222−2000
χ4422-2-22-22−2i2i2i−2i00-22-200000000000-22−2i2i2i−2ii2i2−i2−i200000000000000−i2i22−2−22000
χ452-22-22000000-222-2-22-20002-22-22-20000002i−2i2i−2i0000000000002i−2i000000000
χ462-22-22000000-222-2-22-20002-22-22-2000000−2i2i−2i2i000000000000−2i2i000000000
χ472-22-22000000-222-2-2-22000-22-222-20000002i−2i2i−2i000000000000−2i2i000000000
χ482-22-22000000-222-2-2-22000-22-222-2000000−2i2i−2i2i0000000000002i−2i000000000
χ4944-4-4-24-44i−4i4i−4i002-2200000000000-22−2i2i−2i2i000000000000000000000000000
χ5044-4-4-24-4−4i4i−4i4i002-2200000000000-222i−2i2i−2i000000000000000000000000000
χ5144-4-4-2-444i−4i−4i4i002-22000000000002-2−2i2i2i−2i000000000000000000000000000
χ5244-4-4-2-44−4i4i4i−4i002-22000000000002-22i−2i−2i2i000000000000000000000000000
χ534-44-440000004-44-4-4000000000-44000000000000000000000000000000000
χ544-44-4-20000004-4-22200000−2i32i32i3−2i32-2000000000000000000000000000000000
χ554-44-4-20000004-4-222000002i3−2i3−2i32i32-2000000000000000000000000000000000
χ564-44-4-2000000-44-2224-4000-22-22-22000000000000000000000000000000000
χ574-44-4-2000000-44-222-440002-22-2-22000000000000000000000000000000000
χ584-4-44400000000-4-440000000000000000022−22−222200000000000000000000000
χ594-4-44400000000-4-4400000000000000000−222222−2200000000000000000000000
χ608-8-88-40000000044-400000000000000000000000000000000000000000000

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