Finite Group Databasebeta

← Group #10779130

Character table — Group #10779130

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222222224444444444444444444466666666888888888812121212121212121212121216161616161616161616161648484848
order122234444444444666248888888812121212121212121212888888886122424242424242424224444448888448812121212242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-1
χ911111-1-1-1-1-1-11111111-111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111111-1-1-1-11111-1-1-1-111-1-11-11-111-1-111-1-11-11-1
χ1011111-1-1-1-1-1-11111111-111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1-11-11-1-111-1-111-11-11
χ1111111-1-1-1-1-1-11111111-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111111-1-1-1-1-1-1-1-11111-1-1111-11-111-1-111-1-1-11-11
χ1211111-1-1-1-1-1-11111111-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111111-1-1-1-1-1-1-1-11111-1-111-11-11-1-111-1-1111-11-1
χ1311111-1-1-1-1-1-11111111-11-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-11-1-1111-1-1-1-1111-1-11
χ1411111-1-1-1-1-1-11111111-11-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1-111-1-1-11111-1-1-111-1
χ1511111-1-1-1-1-1-11111111-11-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-11-1-1-1-111111111-1-1-1-1-1-1111-1-1111-1-1-1-111-111-1
χ1611111-1-1-1-1-1-11111111-11-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-11-1-1-1-111111111-1-1-1-1-1-111-111-1-1-11111-1-11-1-11
χ17222222222-2-2-2-222222-2-2000000002222-2-2-2-22200000000-2-20000000022-2-222-2-200000000000000000000
χ18222222222-2-2-2-222222-2-2000000002222-2-2-2-22200000000-2-200000000-2-222-2-22200000000000000000000
χ192222222-2-222-2-2-2-2222-222i2i−2i−2i2i2i−2i−2i22-2-222-2-2-2-200000000-222i2i−2i−2i2i2i−2i−2i0000000000000000000000000000
χ202222222-2-222-2-2-2-2222-22−2i−2i2i2i−2i−2i2i2i22-2-222-2-2-2-200000000-22−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000
χ212222222-2-2-2-222-2-22222-20000000022-2-2-2-222-2-22222-2-2-2-22-20000000000000000-2-2220000000000000000
χ222222222-2-2-2-222-2-22222-20000000022-2-2-2-222-2-2-2-2-2-222222-2000000000000000022-2-20000000000000000
χ2322222-2-2222222-2-2222-2-200000000-2-2222222-2-222222222-2-20000000000000000-2-2-2-20000000000000000
χ2422222-2-2222222-2-2222-2-200000000-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000022220000000000000000
χ2522222-2-222-2-2-2-2-2-2222222i2i−2i−2i−2i−2i2i2i-2-222-2-2-2-2-2-200000000222i2i−2i−2i−2i−2i2i2i0000000000000000000000000000
χ2622222-2-222-2-2-2-2-2-222222−2i−2i2i2i2i2i−2i−2i-2-222-2-2-2-2-2-20000000022−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000
χ2722222-2-2-2-222-2-2222222-200000000-2-2-2-222-2-222000000002-20000000022-2-2-2-22200000000000000000000
χ2822222-2-2-2-222-2-2222222-200000000-2-2-2-222-2-222000000002-200000000-2-22222-2-200000000000000000000
χ292222-12222222222-1-1-12222222222-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-1-10000000000002222-1-1-1-1-1-1-1-10000
χ302222-12222222222-1-1-12222222222-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2111111110000
χ312222-12222222222-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-100000000-1-11111111100000000000022-2-2-1-1-1-111110000
χ322222-12222222222-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-100000000-1-111111111000000000000-2-2221111-1-1-1-10000
χ332222-122-2-222-2-2-2-2-1-1-1-222i2i−2i−2i2i2i−2i−2i-1-111-1-11111000000001-1−i−iii−i−iii0000000000000000−i3i3−i3i33−33−30000
χ342222-122-2-222-2-2-2-2-1-1-1-222i2i−2i−2i2i2i−2i−2i-1-111-1-11111000000001-1−i−iii−i−iii0000000000000000i3−i3i3−i3−33−330000
χ352222-122-2-222-2-2-2-2-1-1-1-22−2i−2i2i2i−2i−2i2i2i-1-111-1-11111000000001-1ii−i−iii−i−i0000000000000000−i3i3−i3i3−33−330000
χ362222-122-2-222-2-2-2-2-1-1-1-22−2i−2i2i2i−2i−2i2i2i-1-111-1-11111000000001-1ii−i−iii−i−i0000000000000000i3−i3i3−i33−33−30000
χ372222-1-2-222-2-2-2-2-2-2-1-1-1222i2i−2i−2i−2i−2i2i2i11-1-111111100000000-1-1−i−iiiii−i−i0000000000000000−i3i3i3−i33−3−330000
χ382222-1-2-222-2-2-2-2-2-2-1-1-1222i2i−2i−2i−2i−2i2i2i11-1-111111100000000-1-1−i−iiiii−i−i0000000000000000i3−i3−i3i3−333−30000
χ392222-1-2-222-2-2-2-2-2-2-1-1-122−2i−2i2i2i2i2i−2i−2i11-1-111111100000000-1-1ii−i−i−i−iii0000000000000000−i3i3i3−i3−333−30000
χ402222-1-2-222-2-2-2-2-2-2-1-1-122−2i−2i2i2i2i2i−2i−2i11-1-111111100000000-1-1ii−i−i−i−iii0000000000000000i3−i3−i3i33−3−330000
χ412222-1-2-2-2-2-2-22222-1-1-1-222222-2-2-2-2111111-1-1-1-1000000001-1-1-1-1-111110000000000002-22-2-1-111-1-1110000
χ422222-1-2-2-2-2-2-22222-1-1-1-222222-2-2-2-2111111-1-1-1-1000000001-1-1-1-1-11111000000000000-22-2211-1-111-1-10000
χ432222-1-2-2-2-2-2-22222-1-1-1-22-2-2-2-22222111111-1-1-1-1000000001-11111-1-1-1-10000000000002-2-22-1-11111-1-10000
χ442222-1-2-2-2-2-2-22222-1-1-1-22-2-2-2-22222111111-1-1-1-1000000001-11111-1-1-1-1000000000000-222-211-1-1-1-1110000
χ452-22-222i−2i2i−2i00002-2-22-2002−22−2−i2i2−i2i22i−2i2i−2i00002-222−2−2−i2−i2i2i2002−22−2−i2i2−i2i22-2002i−2i002−2−i2i20000000000000000
χ462-22-222i−2i2i−2i00002-2-22-2002−22−2−i2i2−i2i22i−2i2i−2i00002-2−2−222i2i2−i2−i2002−22−2−i2i2−i2i2-2200−2i2i00−22i2−i20000000000000000
χ472-22-222i−2i2i−2i00002-2-22-200−22−22i2−i2i2−i22i−2i2i−2i00002-222−2−2−i2−i2i2i200−22−22i2−i2i2−i2-2200−2i2i002−2−i2i20000000000000000
χ482-22-222i−2i2i−2i00002-2-22-200−22−22i2−i2i2−i22i−2i2i−2i00002-2−2−222i2i2−i2−i200−22−22i2−i2i2−i22-2002i−2i00−22i2−i20000000000000000
χ492-22-222i−2i−2i2i0000-22-22-200−i2i2i2−i2−222−22i−2i−2i2i0000-2222−2−2i2i2−i2−i200−i2i2i2−i2−222−2002i−2i002-2−22−i2i20000000000000000
χ502-22-222i−2i−2i2i0000-22-22-200−i2i2i2−i2−222−22i−2i−2i2i0000-22−2−222−i2−i2i2i200−i2i2i2−i2−222−200−2i2i00-222−2i2−i20000000000000000
χ512-22-222i−2i−2i2i0000-22-22-200i2−i2−i2i22−2−222i−2i−2i2i0000-2222−2−2i2i2−i2−i200i2−i2−i2i22−2−2200−2i2i00-22−22−i2i20000000000000000
χ522-22-222i−2i−2i2i0000-22-22-200i2−i2−i2i22−2−222i−2i−2i2i0000-22−2−222−i2−i2i2i200i2−i2−i2i22−2−22002i−2i002-22−2i2−i20000000000000000
χ532-22-22−2i2i2i−2i0000-22-22-200−i2i2i2−i22−2−22−2i2i2i−2i0000-2222−2−2−i2−i2i2i200−i2i2i2−i22−2−22002i−2i00-22−22i2−i20000000000000000
χ542-22-22−2i2i2i−2i0000-22-22-200−i2i2i2−i22−2−22−2i2i2i−2i0000-22−2−222i2i2−i2−i200−i2i2i2−i22−2−2200−2i2i002-22−2−i2i20000000000000000
χ552-22-22−2i2i2i−2i0000-22-22-200i2−i2−i2i2−222−2−2i2i2i−2i0000-2222−2−2−i2−i2i2i200i2−i2−i2i2−222−200−2i2i002-2−22i2−i20000000000000000
χ562-22-22−2i2i2i−2i0000-22-22-200i2−i2−i2i2−222−2−2i2i2i−2i0000-22−2−222i2i2−i2−i200i2−i2−i2i2−222−2002i−2i00-222−2−i2i20000000000000000
χ572-22-22−2i2i−2i2i00002-2-22-2002−22−2i2−i2i2−i2−2i2i−2i2i00002-222−2−2i2i2−i2−i2002−22−2i2−i2i2−i22-200−2i2i002−2i2−i20000000000000000
χ582-22-22−2i2i−2i2i00002-2-22-2002−22−2i2−i2i2−i2−2i2i−2i2i00002-2−2−222−i2−i2i2i2002−22−2i2−i2i2−i2-22002i−2i00−22−i2i20000000000000000
χ592-22-22−2i2i−2i2i00002-2-22-200−22−22−i2i2−i2i2−2i2i−2i2i00002-222−2−2i2i2−i2−i200−22−22−i2i2−i2i2-22002i−2i002−2i2−i20000000000000000
χ602-22-22−2i2i−2i2i00002-2-22-200−22−22−i2i2−i2i2−2i2i−2i2i00002-2−2−222−i2−i2i2i200−22−22−i2i2−i2i22-200−2i2i00−22−i2i20000000000000000
χ614444-24444-4-4-4-444-2-2-2-4-400000000-2-2-2-22222-2-20000000022000000000000000000000000000000000000
χ624444-244-4-4-4-444-4-4-2-2-24-400000000-2-22222-2-22200000000-22000000000000000000000000000000000000
χ634444-2-4-4444444-4-4-2-2-2-4-40000000022-2-2-2-2-2-2220000000022000000000000000000000000000000000000
χ644444-2-4-4-4-444-4-444-2-2-24-4000000002222-2-222-2-200000000-22000000000000000000000000000000000000
χ6544-4-440000004-4004-4-400000000000000004-4004-44-4000000000000000000000000000000000000000000
χ6644-4-440000004-4004-4-400000000000000004-400-44-44000000000000000000000000000000000000000000
χ6744-4-44000000-44004-4-40000000000000000-440000004-44-400000000000000000000000000000000000000
χ6844-4-44000000-44004-4-40000000000000000-44000000-44-4400000000000000000000000000000000000000
χ694-44-4-24i−4i4i−4i00004-42-220022−2222−22−2i22i2−2i22i2−2i2i−2i2i0000-220000000000−22−22i2−i2i2−i20000000000000000000000000000
χ704-44-4-24i−4i4i−4i00004-42-2200−2222−22222i2−2i22i2−2i2−2i2i−2i2i0000-2200000000002−22−2−i2i2−i2i20000000000000000000000000000
χ714-44-4-24i−4i−4i4i0000-442-2200−2i22i22i2−2i2−222222−22−2i2i2i−2i00002-20000000000i2−i2−i2i22−2−220000000000000000000000000000
χ724-44-4-24i−4i−4i4i0000-442-22002i2−2i2−2i22i222−22−2222−2i2i2i−2i00002-20000000000−i2i2i2−i2−222−20000000000000000000000000000
χ734-44-4-2−4i4i4i−4i0000-442-2200−2i22i22i2−2i222−22−22222i−2i−2i2i00002-20000000000i2−i2−i2i2−222−20000000000000000000000000000
χ744-44-4-2−4i4i4i−4i0000-442-22002i2−2i2−2i22i2−222222−222i−2i−2i2i00002-20000000000−i2i2i2−i22−2−220000000000000000000000000000
χ754-44-4-2−4i4i−4i4i00004-42-220022−2222−222i2−2i22i2−2i22i−2i2i−2i0000-220000000000−22−22−i2i2−i2i20000000000000000000000000000
χ764-44-4-2−4i4i−4i4i00004-42-2200−2222−2222−2i22i2−2i22i22i−2i2i−2i0000-2200000000002−22−2i2−i2i2−i20000000000000000000000000000
χ774-4-44400004i−4i0000-4-44000000000000004i−4i000022−22−2222−2i22i22i2−2i200000000000000000000000000000000000000
χ784-4-44400004i−4i0000-4-44000000000000004i−4i0000−222222−222i2−2i2−2i22i200000000000000000000000000000000000000
χ794-4-4440000−4i4i0000-4-4400000000000000−4i4i000022−22−22222i2−2i2−2i22i200000000000000000000000000000000000000
χ804-4-4440000−4i4i0000-4-4400000000000000−4i4i0000−222222−22−2i22i22i2−2i200000000000000000000000000000000000000
χ8188-8-8-40000008-800-4440000000000000000-44000000000000000000000000000000000000000000000000
χ8288-8-8-4000000-8800-44400000000000000004-4000000000000000000000000000000000000000000000000
χ838-8-88-400008i−8i000044-400000000000000−4i4i00000000000000000000000000000000000000000000000000
χ848-8-88-40000−8i8i000044-4000000000000004i−4i00000000000000000000000000000000000000000000000000

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