Finite Group Databasebeta

← Group #10779113

Character table — Group #10779113

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222222444444444444444444466666666668888888888812121212121212121212121616161616161616323248484848
order1222344446668888444448888881212121224242424224444888812121212122424242424242244488888844882424242412124488
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
χ511111111111111111-1-1-1-111-1-1-1-11111111111111111111-1-1-1-111-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-11111-1-1
χ611111111111111111-1-1-1-111-1-1-1-11111111111111111111-1-1-1-111-1-1-1-1-1-11-1-111-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111-111-1-1111111-1-1-1-1-1-111-1-111
χ811111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111-111-1-11111-1-1111111-1-111-1-1
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
χ13111111111111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11-1-1-1-1-1-11111-1-11-1-1-1-111111-1-11-1-1111-11-1-11
χ14111111111111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11-1-1-1-1-1-11111-1-11-1-1-1-11111-111-111-1-1-11-111-1
χ15111111111111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111111-11111-1-1-1-11-1-11-1-1111-1-111-1
χ16111111111111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111111-11111-1-1-1-1-111-111-1-1-111-1-11
χ17222222-2-222220000-222-2-20000002-2-22000022-2-2220000-222-2-2000000-2-2-22200000000000000000000
χ18222222-2-222220000-222-2-20000002-2-220000-2-222-2-20000-222-2-2000000222-2-200000000000000000000
χ19222222-2-222220000-2-2-2220000002-2-22000022-2-2220000-2-2-22200000022-2-2-200000000000000000000
χ20222222-2-222220000-2-2-2220000002-2-220000-2-222-2-20000-2-2-222000000-2-222200000000000000000000
χ2122222-222-22222222-20000-2-20000-222-2222222-2-2-2-2-2-2-2-2-20000-2-200000020022000000000000000000
χ2222222-222-22222222-20000-2-20000-222-22222-2-222222222-20000-2-2000000-200-2-2000000000000000000
χ2322222-222-2222-2-2-2-2-20000220000-222-2-2-2-2-222-2-2-2-22222-2000022000000200-2-2000000000000000000
χ2422222-222-2222-2-2-2-2-20000220000-222-2-2-2-2-2-2-22222-2-2-2-2-2000022000000-20022000000000000000000
χ2522222-2-2-2-2222000020000002i2i−2i−2i-2-2-2-200002222-2-2000020000002i2i−2i−2i00-200002i2i−2i−2i00000000000000
χ2622222-2-2-2-2222000020000002i2i−2i−2i-2-2-2-20000-2-2-2-222000020000002i2i−2i−2i0020000−2i−2i2i2i00000000000000
χ2722222-2-2-2-222200002000000−2i−2i2i2i-2-2-2-200002222-2-200002000000−2i−2i2i2i00-20000−2i−2i2i2i00000000000000
χ2822222-2-2-2-222200002000000−2i−2i2i2i-2-2-2-20000-2-2-2-22200002000000−2i−2i2i2i00200002i2i−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
χ312222-12222-1-1-122222-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-10000000000-11111-1-111110000000000022-2-21111-1-10000
χ322222-12222-1-1-122222-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-10000000000-11111-1-1111100000000000-2-222-1-1-1-1110000
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
χ352222-12222-1-1-1-2-2-2-22-2-2-2-2-2-22222-1-1-1-111110000000000-1111111-1-1-1-1000000000002-2-2211-1-1-110000
χ362222-12222-1-1-1-2-2-2-22-2-2-2-2-2-22222-1-1-1-111110000000000-1111111-1-1-1-100000000000-222-2-1-1111-10000
χ372-2-222200-2-2-2222−2−202i−2i002−2−i2i2−i2i2200-222−2−22-2002-222−2−202i−2i002−2−i2i2−i2i20002i−2i2−2−i2i2−i2i200000000000000
χ382-2-222200-2-2-2222−2−202i−2i002−2−i2i2−i2i2200-222−2−2-2200-22−2−22202i−2i002−2−i2i2−i2i2000−2i2i−22i2−i2i2−i200000000000000
χ392-2-222200-2-2-2222−2−20−2i2i002−2i2−i2i2−i2200-222−2−22-2002-222−2−20−2i2i002−2i2−i2i2−i2000−2i2i2−2i2−i2i2−i200000000000000
χ402-2-222200-2-2-2222−2−20−2i2i002−2i2−i2i2−i2200-222−2−2-2200-22−2−2220−2i2i002−2i2−i2i2−i20002i−2i−22−i2i2−i2i200000000000000
χ412-2-222200-2-2-22−2−22202i−2i00−22i2−i2i2−i2200-2−2−2222-2002-2−2−22202i−2i00−22i2−i2i2−i20002i−2i−22i2−i2i2−i200000000000000
χ422-2-222200-2-2-22−2−22202i−2i00−22i2−i2i2−i2200-2−2−222-2200-2222−2−202i−2i00−22i2−i2i2−i2000−2i2i2−2−i2i2−i2i200000000000000
χ432-2-222200-2-2-22−2−2220−2i2i00−22−i2i2−i2i2200-2−2−2222-2002-2−2−2220−2i2i00−22−i2i2−i2i2000−2i2i−22−i2i2−i2i200000000000000
χ442-2-222200-2-2-22−2−2220−2i2i00−22−i2i2−i2i2200-2−2−222-2200-2222−2−20−2i2i00−22−i2i2−i2i20002i−2i2−2i2−i2i2−i200000000000000
χ452-2-222-2002-2-2222−2−20002-2−222−2−22-200222−2−22-200-22−2−2220002-2−222−2−222-20002−22−2−2200000000000000
χ462-2-222-2002-2-2222−2−20002-2−222−2−22-200222−2−2-22002-222−2−20002-2−222−2−22-22000−22−222−200000000000000
χ472-2-222-2002-2-2222−2−2000-22−22−222−2-200222−2−22-200-22−2−222000-22−22−222−2-220002−2−222−200000000000000
χ482-2-222-2002-2-2222−2−2000-22−22−222−2-200222−2−2-22002-222−2−2000-22−22−222−22-2000−222−2−2200000000000000
χ492-2-222-2002-2-22−2−2220002-22−2−222−2-2002−2−2222-200-2222−2−20002-22−2−222−22-2000−22−222−200000000000000
χ502-2-222-2002-2-22−2−2220002-22−2−222−2-2002−2−222-22002-2−2−2220002-22−2−222−2-220002−22−2−2200000000000000
χ512-2-222-2002-2-22−2−222000-222−22−2−22-2002−2−2222-200-2222−2−2000-222−22−2−22-22000−222−2−2200000000000000
χ522-2-222-2002-2-22−2−222000-222−22−2−22-2002−2−222-22002-2−2−222000-222−22−2−222-20002−2−222−200000000000000
χ534444-24-4-44-2-2-20000-444-4-4000000-222-2000000000000002-2-2220000000000000000000000000000000
χ544444-24-4-44-2-2-20000-4-4-444000000-222-200000000000000222-2-20000000000000000000000000000000
χ554444-2-444-4-2-2-24444-40000-4-400002-2-22-2-2-2-20000000000200002200000000000000000000000000000
χ564444-2-444-4-2-2-2-4-4-4-4-400004400002-2-222222000000000020000-2-200000000000000000000000000000
χ574444-2-4-4-4-4-2-2-2000040000004i4i−4i−4i222200000000000000-2000000−2i−2i2i2i0000000000000000000000000
χ584444-2-4-4-4-4-2-2-200004000000−4i−4i4i4i222200000000000000-20000002i2i−2i−2i0000000000000000000000000
χ5944-4-440000-44-422−2222−2200000000000000022−2222−22004-40022−2222−22000000000000000000000000000000000000
χ6044-4-440000-44-422−2222−2200000000000000022−2222−2200-4400−2222−2222000000000000000000000000000000000000
χ6144-4-440000-44-4−2222−2222000000000000000−2222−2222004-400−2222−2222000000000000000000000000000000000000
χ6244-4-440000-44-4−2222−2222000000000000000−2222−222200-440022−2222−22000000000000000000000000000000000000
χ634-44-4404-404-4-40000000000000000-44000000000004-4-44000000000000000000000000000000000000
χ644-44-4404-404-4-40000000000000000-4400000000000-444-4000000000000000000000000000000000000
χ654-44-440-4404-4-44-4-440000000000004-404-4-440000000000000000000000000000000000000000000000
χ664-44-440-4404-4-4-444-40000000000004-40-444-40000000000000000000000000000000000000000000000
χ674-44-4-20-440-2224-4-44000000000000-220-222-2000000000000000000000000000000000000i6−i6i6−i6000000
χ684-44-4-20-440-2224-4-44000000000000-220-222-2000000000000000000000000000000000000−i6i6−i6i6000000
χ694-44-4-20-440-222-444-4000000000000-2202-2-22000000000000000000000000000000000000i6−i6−i6i6000000
χ704-44-4-20-440-222-444-4000000000000-2202-2-22000000000000000000000000000000000000−i6i6i6−i6000000
χ714-4-44-2400-422-22222−22−2204i−4i0022−22−2i22i2−2i22i2-2002−2−22200000000000−2i2i00−22i2−i2i2−i20000000000000000000000000
χ724-4-44-2400-422-22222−22−220−4i4i0022−222i2−2i22i2−2i2-2002−2−222000000000002i−2i00−22−i2i2−i2i20000000000000000000000000
χ734-4-44-2400-422-2−22−22222204i−4i00−22222i2−2i22i2−2i2-200222−2−200000000000−2i2i002−2−i2i2−i2i20000000000000000000000000
χ744-4-44-2400-422-2−22−2222220−4i4i00−2222−2i22i2−2i22i2-200222−2−2000000000002i−2i002−2i2−i2i2−i20000000000000000000000000
χ754-4-44-2-400422-22222−22−220004-4−222222−22−2222200-2−2−2220000000000000-222−2−222−20000000000000000000000000
χ764-4-44-2-400422-22222−22−22000-44−2222−222222−22200-2−2−22200000000000002-22−22−2−220000000000000000000000000
χ774-4-44-2-400422-2−22−2222220004-422−22−222222−22200-222−2−20000000000000-22−222−2−220000000000000000000000000
χ784-4-44-2-400422-2−22−222222000-4422−2222−22−2222200-222−2−200000000000002-2−22−222−20000000000000000000000000
χ7988-8-8-400004-4442−4242−42000000000000000−2222−22220000000000000000000000000000000000000000000000
χ8088-8-8-400004-44−4242−424200000000000000022−2222−220000000000000000000000000000000000000000000000
χ818-88-8-408-80-44400000000000000004-4000000000000000000000000000000000000000000000000000

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