Finite Group Databasebeta

← Group #10779129

Character table — Group #10779129

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222222444444444444444444466666666668888888888812121212121212121212121616161616161616323248484848
order12223444466688882244488888812121212242424244444448888661212122424242424242444488888844882424242412124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-11-1-1-1-111111111111111111111-1-11-1-111-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1
χ61111111111111111-1-1-1-11-1-1-1-111111111111111111111-1-11-1-111-1-1-1-11-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111
χ71111111111111111-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-111
χ81111111111111111-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-11111-1-11111-1-1111111-1-111-1-1
χ9111111111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111-1-1-1-1-1-111111-1-1-1-1-1-11-11-111-1-11-11-11-1
χ10111111111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111-1-1-1-1-1-111111-1-1-1-1-1-1-11-11-1-111-11-11-11
χ11111111111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-11111111-11-111-1-11-1-11-11
χ12111111111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1111111-11-11-1-111-111-11-1
χ13111111111111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-111111-1-11-1-1111-11-1-11
χ14111111111111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-11111-111-111-1-1-11-111-1
χ15111111111111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-11111-1111111-1-1-1-11-1-11-1-1111-1-111-1
χ16111111111111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-11111-1111111-1-1-1-1-111-111-1-1-111-1-11
χ17222222-2-22222000022-2-2-20000002-2-22000022-2-222000022-2-2-2000000-2-2-22200000000000000000000
χ18222222-2-22222000022-2-2-20000002-2-220000-2-222-2-2000022-2-2-2000000222-2-200000000000000000000
χ19222222-2-222220000-2-222-20000002-2-22000022-2-2220000-2-2-222000000-222-2-200000000000000000000
χ20222222-2-222220000-2-222-20000002-2-220000-2-222-2-20000-2-2-2220000002-2-22200000000000000000000
χ2122222-222-222222220000-20000-2-2-222-2222222-2-2-2-2-2-2-2-200-200-2-200002000022000000000000000000
χ2222222-222-222222220000-20000-2-2-222-22222-2-22222222200-200-2-20000-20000-2-2000000000000000000
χ2322222-222-2222-2-2-2-20000-2000022-222-2-2-2-2-222-2-2-2-2222200-20022000020000-2-2000000000000000000
χ2422222-222-2222-2-2-2-20000-2000022-222-2-2-2-2-2-2-22222-2-2-2-200-200220000-2000022000000000000000000
χ2522222-2-2-2-22220000000022i2i−2i−2i00-2-2-2-200002222-2-2000000200002i2i−2i−2i-20000002i2i−2i−2i00000000000000
χ2622222-2-2-2-22220000000022i2i−2i−2i00-2-2-2-20000-2-2-2-222000000200002i2i−2i−2i2000000−2i−2i2i2i00000000000000
χ2722222-2-2-2-2222000000002−2i−2i2i2i00-2-2-2-200002222-2-200000020000−2i−2i2i2i-2000000−2i−2i2i2i00000000000000
χ2822222-2-2-2-2222000000002−2i−2i2i2i00-2-2-2-20000-2-2-2-22200000020000−2i−2i2i2i20000002i2i−2i−2i00000000000000
χ292222-12222-1-1-1222222222222222-1-1-1-1-1-1-1-10000000000-1-1-1-1-1-1-1-1-1-1-1000000000002222-1-1-1-1-1-10000
χ302222-12222-1-1-1222222222222222-1-1-1-1-1-1-1-10000000000-1-1-1-1-1-1-1-1-1-1-100000000000-2-2-2-21111110000
χ312222-12222-1-1-12222-2-2-2-22-2-2-2-222-1-1-1-1-1-1-1-1000000000011-111-1-111110000000000022-2-21111-1-10000
χ322222-12222-1-1-12222-2-2-2-22-2-2-2-222-1-1-1-1-1-1-1-1000000000011-111-1-1111100000000000-2-222-1-1-1-1110000
χ332222-12222-1-1-1-2-2-2-222222-2-2-2-2-2-2-1-1-1-111110000000000-1-1-1-1-1111111000000000002-22-2-1-111-110000
χ342222-12222-1-1-1-2-2-2-222222-2-2-2-2-2-2-1-1-1-111110000000000-1-1-1-1-111111100000000000-22-2211-1-11-10000
χ352222-12222-1-1-1-2-2-2-2-2-2-2-222222-2-2-1-1-1-11111000000000011-11111-1-1-1-1000000000002-2-2211-1-1-110000
χ362222-12222-1-1-1-2-2-2-2-2-2-2-222222-2-2-1-1-1-11111000000000011-11111-1-1-1-100000000000-222-2-1-1111-10000
χ372-22-22200-2-2-2222−2−22-20002−22−22−2-200222−2−22i−2i002i−2i−i2−i2i2i22-20002−22−22−20002i−2i−i2i2−i2i2−i2i200000000000000
χ382-22-22200-2-2-2222−2−22-20002−22−22−2-200222−2−2−2i2i00−2i2ii2i2−i2−i22-20002−22−22−2000−2i2ii2−i2i2−i2i2−i200000000000000
χ392-22-22200-2-2-2222−2−2-22000−22−222−2-200222−2−22i−2i002i−2i−i2−i2i2i2-220002−2−22−22000−2i2i−i2i2i2−i2i2−i200000000000000
χ402-22-22200-2-2-2222−2−2-22000−22−222−2-200222−2−2−2i2i00−2i2ii2i2−i2−i2-220002−2−22−220002i−2ii2−i2−i2i2−i2i200000000000000
χ412-22-22200-2-2-22−2−2222-2000−22−22−22-2002−2−2222i−2i002i−2ii2i2−i2−i22-2000−22−22−220002i−2ii2−i2i2−i2i2−i200000000000000
χ422-22-22200-2-2-22−2−2222-2000−22−22−22-2002−2−222−2i2i00−2i2i−i2−i2i2i22-2000−22−22−22000−2i2i−i2i2−i2i2−i2i200000000000000
χ432-22-22200-2-2-22−2−222-220002−22−2−22-2002−2−2222i−2i002i−2ii2i2−i2−i2-22000−222−22−2000−2i2ii2−i2−i2i2−i2i200000000000000
χ442-22-22200-2-2-22−2−222-220002−22−2−22-2002−2−222−2i2i00−2i2i−i2−i2i2i2-22000−222−22−20002i−2i−i2i2i2−i2i2−i200000000000000
χ452-22-22-2002-2-2222−2−2002i−2i0−i2i2i2−i2−22200-222−2−22i−2i00−2i2ii2i2−i2−i20002i−2i−22−i2i2i2−i202-200−i2i2−222−200000000000000
χ462-22-22-2002-2-2222−2−2002i−2i0−i2i2i2−i2−22200-222−2−2−2i2i002i−2i−i2−i2i2i20002i−2i−22−i2i2i2−i20-2200i2−i22−2−2200000000000000
χ472-22-22-2002-2-2222−2−200−2i2i0i2−i2−i2i2−22200-222−2−22i−2i00−2i2ii2i2−i2−i2000−2i2i−22i2−i2−i2i20-2200−i2i22−2−2200000000000000
χ482-22-22-2002-2-2222−2−200−2i2i0i2−i2−i2i2−22200-222−2−2−2i2i002i−2i−i2−i2i2i2000−2i2i−22i2−i2−i2i202-200i2−i2−222−200000000000000
χ492-22-22-2002-2-22−2−222002i−2i0i2−i2−i2i22−2200-2−2−2222i−2i00−2i2i−i2−i2i2i20002i−2i2−2i2−i2−i2i202-200i2−i22−2−2200000000000000
χ502-22-22-2002-2-22−2−222002i−2i0i2−i2−i2i22−2200-2−2−222−2i2i002i−2ii2i2−i2−i20002i−2i2−2i2−i2−i2i20-2200−i2i2−222−200000000000000
χ512-22-22-2002-2-22−2−22200−2i2i0−i2i2i2−i22−2200-2−2−2222i−2i00−2i2i−i2−i2i2i2000−2i2i2−2−i2i2i2−i20-2200i2−i2−222−200000000000000
χ522-22-22-2002-2-22−2−22200−2i2i0−i2i2i2−i22−2200-2−2−222−2i2i002i−2ii2i2−i2−i2000−2i2i2−2−i2i2i2−i202-200−i2i22−2−2200000000000000
χ534444-24-4-44-2-2-2000044-4-4-4000000-222-200000000000000-2-22220000000000000000000000000000000
χ544444-24-4-44-2-2-20000-4-444-4000000-222-200000000000000222-2-20000000000000000000000000000000
χ554444-2-444-4-2-2-244440000-40000-4-42-2-22-2-2-2-20000000000002002200000000000000000000000000000
χ564444-2-444-4-2-2-2-4-4-4-40000-40000442-2-222222000000000000200-2-200000000000000000000000000000
χ574444-2-4-4-4-4-2-2-20000000044i4i−4i−4i0022220000000000000000-20000−2i−2i2i2i0000000000000000000000000
χ584444-2-4-4-4-4-2-2-2000000004−4i−4i4i4i0022220000000000000000-200002i2i−2i−2i0000000000000000000000000
χ5944-4-4404-40-44-44-44-4000000000000-4404-44-40000000000000000000000000000000000000000000000
χ6044-4-4404-40-44-4-44-44000000000000-440-44-440000000000000000000000000000000000000000000000
χ6144-4-440-440-44-400000000000000004-4000000000004-44-4000000000000000000000000000000000000
χ6244-4-440-440-44-400000000000000004-400000000000-44-44000000000000000000000000000000000000
χ6344-4-4-204-402-224-44-40000000000002-20-22-220000000000000000000000000000000000006−66−6000000
χ6444-4-4-204-402-224-44-40000000000002-20-22-22000000000000000000000000000000000000−66−66000000
χ6544-4-4-204-402-22-44-440000000000002-202-22-20000000000000000000000000000000000006−6−66000000
χ6644-4-4-204-402-22-44-440000000000002-202-22-2000000000000000000000000000000000000−666−6000000
χ674-44-4-2400-422-22222−22−224-400022−2222−2222−22200-2−2−2220000000000-22000−22−22−220000000000000000000000000
χ684-44-4-2400-422-22222−22−22-44000−2222−222222−22200-2−2−22200000000002-2000−222−22−20000000000000000000000000
χ694-44-4-2400-422-2−22−2222224-4000−2222−2222−2222200-222−2−20000000000-220002−22−22−20000000000000000000000000
χ704-44-4-2400-422-2−22−222222-4400022−2222−22−2222200-222−2−200000000002-20002−2−22−220000000000000000000000000
χ714-44-4-2-400422-22222−22−22004i−4i0−2i22i22i2−2i2−2222-2002−2−2220000000000000−2i2i2−2i2−i2−i2i20000000000000000000000000
χ724-44-4-2-400422-22222−22−2200−4i4i02i2−2i2−2i22i2−2222-2002−2−22200000000000002i−2i2−2−i2i2i2−i20000000000000000000000000
χ734-44-4-2-400422-2−22−222222004i−4i02i2−2i2−2i22i222−22-200222−2−20000000000000−2i2i−22−i2i2i2−i20000000000000000000000000
χ744-44-4-2-400422-2−22−22222200−4i4i0−2i22i22i2−2i222−22-200222−2−200000000000002i−2i−22i2−i2−i2i20000000000000000000000000
χ754-4-44400004-4-422−22−222200000000000000022−22−2222004i−4i00−2i22i22i2−2i2000000000000000000000000000000000000
χ764-4-44400004-4-422−22−222200000000000000022−22−222200−4i4i002i2−2i2−2i22i2000000000000000000000000000000000000
χ774-4-44400004-4-4−222222−22000000000000000−222222−22004i−4i002i2−2i2−2i22i2000000000000000000000000000000000000
χ784-4-44400004-4-4−222222−22000000000000000−222222−2200−4i4i00−2i22i22i2−2i2000000000000000000000000000000000000
χ7988-8-8-40-8804-440000000000000000-44000000000000000000000000000000000000000000000000000
χ808-8-88-40000-44442−42−4242000000000000000−222222−220000000000000000000000000000000000000000000000
χ818-8-88-40000-444−424242−4200000000000000022−22−22220000000000000000000000000000000000000000000000

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