Finite Group Databasebeta

← Group #10834019

Character table — Group #10834019

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111222222222222444444444444888888888888881212121212121212161616161616161616161616242424242424242424242424
order1222222234444666666622444444121212124466121212121212121212128888888844441212121212121212224444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111111111111111111111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-1-1-1-11111-1-1-1-1111111-1-1
χ71111111111111111111111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-11111-1-111
χ81111111111111111111111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-111-1-1-1-1-111111111-1-1-1-1-1-111
χ911111111111111111111-1-11111-1-11111-1-1-1-111-1-1-1-111-1-11111111111-1-111-1-111-1-111-1-111-1-1-1-1-1-1
χ1011111111111111111111-1-11111-1-11111-1-1-1-111-1-1-1-111-1-111111111-1-111-1-111-1-111-1-111-1-111-1-1-1-1
χ1111111111111111111111-1-11111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1111111
χ1211111111111111111111-1-11111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-11111
χ1311111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-11-11-111-1-1-1-11111-1-1-1-111-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-1-11-11-1-11111-1-1-1-11111-1-1-1-111
χ1511111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-111111-11-111-1-1-1-111-1-11111-1-111-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-11111-11-11-1-11111-1-111-1-1-1-11111-1-1
χ17222222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-222222-2-2-2-2-2-22200000000000000000000000000000000
χ18222222222-2-2-2-2222222222-2-222-2-2-2-2-2-22-222-2-222-2-222-2-200000000000000000000000000000000
χ19222222222-2-2-2-22222222-2-222-2-222-2-2-2-22-2-2-2222222-2-2-2-200000000000000000000000000000000
χ20222222222-2-2-2-22222222-2-2-2-22222-2-2-2-2-22-2-2-2-2-2-222222200000000000000000000000000000000
χ2122222222-12222-1-1-1-1-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1000000000000
χ2222222222-12222-1-1-1-1-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-211111111000000000000
χ2322222222-12222-1-1-1-1-1-1-122-2-2-2-222-1-1-1-1-2-2-1-11111-1-11111000000002-2-22-1-1-1-11111000000000000
χ2422222222-12222-1-1-1-1-1-1-122-2-2-2-222-1-1-1-1-2-2-1-11111-1-1111100000000-222-21111-1-1-1-1000000000000
χ2522222222-12222-1-1-1-1-1-1-1-2-22222-2-2-1-1-1-1-2-211-1-11111-1-1110000000022-2-2-1-111-1-111000000000000
χ2622222222-12222-1-1-1-1-1-1-1-2-22222-2-2-1-1-1-1-2-211-1-11111-1-11100000000-2-22211-1-111-1-1000000000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1221111-1-11111-1-1000000002-22-2-1-11111-1-1000000000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1221111-1-11111-1-100000000-22-2211-1-1-1-111000000000000
χ2922222222-1-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-21111-22-1-1-1-1111111-1-1000000000000−i3i3−i3i3−i3i3−i3i3000000000000
χ3022222222-1-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-21111-22-1-1-1-1111111-1-1000000000000i3−i3i3−i3i3−i3i3−i3000000000000
χ3122222222-1-2-2-2-2-1-1-1-1-1-1-122-2-222-2-211112-2-1-111-1-111-1-111000000000000−i3i3−i3i3i3−i3i3−i3000000000000
χ3222222222-1-2-2-2-2-1-1-1-1-1-1-122-2-222-2-211112-2-1-111-1-111-1-111000000000000i3−i3i3−i3−i3i3−i3i3000000000000
χ3322222222-1-2-2-2-2-1-1-1-1-1-1-1-2-222-2-22211112-211-1-1-1-1-1-11111000000000000−i3i3i3−i3−i3i3i3−i3000000000000
χ3422222222-1-2-2-2-2-1-1-1-1-1-1-1-2-222-2-22211112-211-1-1-1-1-1-11111000000000000i3−i3−i3i3i3−i3−i3i3000000000000
χ3522222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-222221111-22111111-1-1-1-1-1-1000000000000−i3i3i3−i3i3−i3−i3i3000000000000
χ3622222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-222221111-22111111-1-1-1-1-1-1000000000000i3−i3−i3i3−i3i3i3−i3000000000000
χ3722-22-2-22-222-22-22-22-2-22-2002i−2i2i−2i0022-2-200002i−2i00002i−2i00000000000000000000002-2002i−2i000000
χ3822-22-2-22-222-22-22-22-2-22-2002i−2i2i−2i0022-2-200002i−2i00002i−2i0000000000000000000000-2200−2i2i000000
χ3922-22-2-22-222-22-22-22-2-22-200−2i2i−2i2i0022-2-20000−2i2i0000−2i2i00000000000000000000002-200−2i2i000000
χ4022-22-2-22-222-22-22-22-2-22-200−2i2i−2i2i0022-2-20000−2i2i0000−2i2i0000000000000000000000-22002i−2i000000
χ4122-22-2-22-22-22-222-22-2-22-2002i−2i−2i2i00-2-22200002i−2i0000−2i2i0000000000000000000000002-2002i−2i0000
χ4222-22-2-22-22-22-222-22-2-22-2002i−2i−2i2i00-2-22200002i−2i0000−2i2i000000000000000000000000-2200−2i2i0000
χ4322-22-2-22-22-22-222-22-2-22-200−2i2i2i−2i00-2-2220000−2i2i00002i−2i0000000000000000000000002-200−2i2i0000
χ4422-22-2-22-22-22-222-22-2-22-200−2i2i2i−2i00-2-2220000−2i2i00002i−2i000000000000000000000000-22002i−2i0000
χ452-2-2-2222-2222-2-2-2-2-22-2222-200002-22-22-2002-200002-200002i2i−2i−2i0000000000000000000000002i−2i00
χ462-2-2-2222-2222-2-2-2-2-22-2222-200002-22-22-2002-200002-20000−2i−2i2i2i000000000000000000000000−2i2i00
χ472-2-2-2222-2222-2-2-2-2-22-222-220000-222-22-200-220000-2200002i2i−2i−2i000000000000000000000000−2i2i00
χ482-2-2-2222-2222-2-2-2-2-22-222-220000-222-22-200-220000-220000−2i−2i2i2i0000000000000000000000002i−2i00
χ492-2-2-2222-22-2-222-2-2-22-2222-20000-22-22-22002-20000-220000000022-2-200000000000000000000002-2
χ502-2-2-2222-22-2-222-2-2-22-2222-20000-22-22-22002-20000-2200000000-2-2220000000000000000000000-22
χ512-2-2-2222-22-2-222-2-2-22-222-2200002-2-22-2200-2200002-20000000022-2-20000000000000000000000-22
χ522-2-2-2222-22-2-222-2-2-22-222-2200002-2-22-2200-2200002-200000000-2-22200000000000000000000002-2
χ53444-4-44-4-44000044-4-4-4-4400000000000000000000000000000022−2222−22000000000000000000000000
χ54444-4-44-4-44000044-4-4-4-44000000000000000000000000000000−2222−2222000000000000000000000000
χ5544-44-4-44-4-24-44-4-22-222-22004i−4i4i−4i00-2-2220000−2i2i0000−2i2i0000000000000000000000000000000000
χ5644-44-4-44-4-24-44-4-22-222-2200−4i4i−4i4i00-2-22200002i−2i00002i−2i0000000000000000000000000000000000
χ5744-44-4-44-4-2-44-44-22-222-22004i−4i−4i4i0022-2-20000−2i2i00002i−2i0000000000000000000000000000000000
χ5844-44-4-44-4-2-44-44-22-222-2200−4i4i4i−4i0022-2-200002i−2i0000−2i2i0000000000000000000000000000000000
χ5944-4-44-4-44400004-4-444-4-400000000000000000000000000−2i22i2−2i22i20000000000000000000000000000
χ6044-4-44-4-44400004-4-444-4-4000000000000000000000000002i2−2i22i2−2i20000000000000000000000000000
χ614-4444-4-4-440000-4444-4-4-40000000000000000000000000022−22−22220000000000000000000000000000
χ624-4444-4-4-440000-4444-4-4-400000000000000000000000000−222222−220000000000000000000000000000
χ634-44-4-4-44444-4-44-44-4-444-4000000004-4-440000000000000000000000000000000000000000000000
χ644-44-4-4-4444-444-4-44-4-444-400000000-444-40000000000000000000000000000000000000000000000
χ654-44-4-4-444-24-4-442-222-2-2200000000-222-200000023−23000023−2300000000000000000000000000000000
χ664-44-4-4-444-24-4-442-222-2-2200000000-222-2000000−23230000−232300000000000000000000000000000000
χ674-44-4-4-444-2-444-42-222-2-22000000002-2-2200000023−230000−232300000000000000000000000000000000
χ684-44-4-4-444-2-444-42-222-2-22000000002-2-22000000−2323000023−2300000000000000000000000000000000
χ694-4-44-44-4440000-4-44-44-4400000000000000000000000000000022−22−2222000000000000000000000000
χ704-4-44-44-4440000-4-44-44-44000000000000000000000000000000−222222−22000000000000000000000000
χ714-4-4-4444-4-244-4-4222-22-2-24-400004-4-22-2200-220000-22000000000000000000000000000000000000
χ724-4-4-4444-4-244-4-4222-22-2-2-440000-44-22-22002-200002-2000000000000000000000000000000000000
χ734-4-4-4444-4-2-4-444222-22-2-24-40000-442-22-200-2200002-2000000000000000000000000000000000000
χ744-4-4-4444-4-2-4-444222-22-2-2-4400004-42-22-2002-20000-22000000000000000000000000000000000000
χ75888-8-88-8-8-40000-4-44444-40000000000000000000000000000000000000000000000000000000000
χ7688-8-88-8-88-40000-444-4-4440000000000000000000000000000000000000000000000000000000000
χ778-8888-8-8-8-400004-4-4-44440000000000000000000000000000000000000000000000000000000000
χ788-8-88-88-88-4000044-44-44-40000000000000000000000000000000000000000000000000000000000

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