Finite Group Databasebeta

← Group #71883

Character table — Group #71883

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45
size11112222224444444444888888888888888882424242424242424
order122222366644446612121212224446666121212121212121244448888
χ1111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111111111-1-11111-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-1
χ61111111111-1-11111-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111
χ71111111111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111
χ81111111111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-1
χ9222222222222-2-2222222-20000-2-20000-2-2000000000000
χ102222222222-2-2-2-222-2-2-2-220000220000-2-2000000000000
χ11222222-1-1-1-12222-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ12222222-1-1-1-12222-1-1-1-1-1-12-2-2-2-2-1-11111-1-1111100000000
χ13222222-1-1-1-122-2-2-1-1-1-1-1-1-2000011−i3i3−i3i311−i3−i3i3i300000000
χ14222222-1-1-1-122-2-2-1-1-1-1-1-1-2000011i3−i3i3−i311i3i3−i3−i300000000
χ15222222-1-1-1-1-2-222-1-11111-222-2-211-1-1-1-1-1-1111100000000
χ16222222-1-1-1-1-2-222-1-11111-2-2-222111111-1-1-1-1-1-100000000
χ17222222-1-1-1-1-2-2-2-2-1-1111120000-1-1−i3i3−i3i311i3i3−i3−i300000000
χ18222222-1-1-1-1-2-2-2-2-1-1111120000-1-1i3−i3i3−i311−i3−i3i3i300000000
χ192222-2-22222002-2-2-200000002-20000002-22-22-200000000
χ202222-2-22222002-2-2-20000000-220000002-2-22-2200000000
χ212222-2-2222200-22-2-2000002-2000022-2-2-22000000000000
χ222222-2-2222200-22-2-200000-220000-2-222-22000000000000
χ232222-2-2-1-1-1-1002-211−i3−i3i3i30002-2−i3i3−i3i3i3−i3-11-11-1100000000
χ242222-2-2-1-1-1-1002-211−i3−i3i3i3000-22−i3i3i3−i3−i3i3-111-11-100000000
χ252222-2-2-1-1-1-1002-211i3i3−i3−i30002-2i3−i3i3−i3−i3i3-11-11-1100000000
χ262222-2-2-1-1-1-1002-211i3i3−i3−i3000-22i3−i3−i3i3i3−i3-111-11-100000000
χ272222-2-2-1-1-1-100-2211−i3−i3i3i302-200i3−i3-1-1111-1−i3i3i3−i300000000
χ282222-2-2-1-1-1-100-2211−i3−i3i3i30-2200i3−i311-1-11-1i3−i3−i3i300000000
χ292222-2-2-1-1-1-100-2211i3i3−i3−i302-200−i3i3-1-1111-1i3−i3−i3i300000000
χ302222-2-2-1-1-1-100-2211i3i3−i3−i30-2200−i3i311-1-11-1−i3i3i3−i300000000
χ3122-2-2-2222-2-22i−2i002-22i−2i2i−2i000000000000000000000−i2i22−2
χ3222-2-2-2222-2-22i−2i002-22i−2i2i−2i000000000000000000000i2−i2−22
χ3322-2-2-2222-2-2−2i2i002-2−2i2i−2i2i000000000000000000000−i2i2−22
χ3422-2-2-2222-2-2−2i2i002-2−2i2i−2i2i000000000000000000000i2−i22−2
χ3544-4-44-444-4-40000-4400000000000000000000000000000
χ3644-4-44-4-2-22200002-223−23−23230000000000000000000000000
χ3744-4-44-4-2-22200002-2−232323−230000000000000000000000000
χ3844-4-4-44-2-2224i−4i00-22−2i2i−2i2i0000000000000000000000000
χ3944-4-4-44-2-222−4i4i00-222i−2i2i−2i0000000000000000000000000
χ404-44-4004-44-40000000000000000000000000002i−2i000000
χ414-44-4004-44-4000000000000000000000000000−2i2i000000
χ424-4-44004-4-44000000000000000000000000000002-20000
χ434-4-44004-4-4400000000000000000000000000000-220000
χ448-88-800-44-4400000000000000000000000000000000000
χ458-8-8800-444-400000000000000000000000000000000000

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