Finite Group Databasebeta

← Group #10950873

Character table — Group #10950873

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111222222222244444444444444444466666666666688888888888812121212121212121212161616163232323248484848
order12223446668888448812121616161616161616242424242244444488881212242448484848484848488816161616161616164444121212122444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-1
χ911111111111111-1-1-1-1111111-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-11-11-11-11-1
χ1011111111111111-1-1-1-1111111-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-11-11-11-11
χ1111111111111111-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-11-11-1-11-11
χ1211111111111111-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-11-111-11-1
χ1311111111111111-1-1-1-111-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-11-11-1-111-1-11
χ1411111111111111-1-1-1-111-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-11-11-111-1-111-1
χ1511111111111111-1-1-1-111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11-11-11-1-11-111-1
χ1611111111111111-1-1-1-111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-11-11-111-11-1-11
χ172222222222-2-2-2-222-2-22200000000-2-2-2-222222222-2-2-2-222-2-200000000-2-200000000000000000000
χ182222222222-2-2-2-222-2-22200000000-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2000000002200000000000000000000
χ192222222222-2-2-2-2-2-2222200000000-2-2-2-222-2-222-2-2-2-2-2-2-2-222000000002200000000000000000000
χ202222222222-2-2-2-2-2-2222200000000-2-2-2-2-2-222-2-2222222-2-22200000000-2-200000000000000000000
χ2122222-2-222200002-200-2-222−2−222−2−200002222-2-2-2-200002-20022−2−222−2−20022−2−222−2−2000000000000
χ2222222-2-222200002-200-2-222−2−222−2−20000-2-2-2-2222200002-20022−2−222−2−200−2−222−2−222000000000000
χ2322222-2-222200002-200-2-2−2−222−2−22200002222-2-2-2-200002-200−2−222−2−22200−2−222−2−222000000000000
χ2422222-2-222200002-200-2-2−2−222−2−2220000-2-2-2-2222200002-200−2−222−2−2220022−2−222−2−2000000000000
χ2522222-2-22220000-2200-2-222−2−2−2−222000022-2-2-2-2220000-220022−2−2−2−2220022−2−2−2−222000000000000
χ2622222-2-22220000-2200-2-222−2−2−2−2220000-2-22222-2-20000-220022−2−2−2−22200−2−22222−2−2000000000000
χ2722222-2-22220000-2200-2-2−2−22222−2−2000022-2-2-2-2220000-2200−2−22222−2−200−2−22222−2−2000000000000
χ2822222-2-22220000-2200-2-2−2−22222−2−20000-2-22222-2-20000-2200−2−22222−2−20022−2−2−2−222000000000000
χ292222-122-1-1-122222222-1-122222222-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-100000000002222-1-1-1-10000
χ302222-122-1-1-122222222-1-122222222-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-2-2-211110000
χ312222-122-1-1-122222222-1-1-2-2-2-2-2-2-2-2-1-1-1-1000000000000-1-1-1-11111111100000000002-2-22-1-1110000
χ322222-122-1-1-122222222-1-1-2-2-2-2-2-2-2-2-1-1-1-1000000000000-1-1-1-1111111110000000000-222-211-1-10000
χ332222-122-1-1-12222-2-2-2-2-1-12222-2-2-2-2-1-1-1-10000000000001111-1-1-1-11111000000000022-2-2-11-110000
χ342222-122-1-1-12222-2-2-2-2-1-12222-2-2-2-2-1-1-1-10000000000001111-1-1-1-111110000000000-2-2221-11-10000
χ352222-122-1-1-12222-2-2-2-2-1-1-2-2-2-22222-1-1-1-100000000000011111111-1-1-1-100000000002-22-2-111-10000
χ362222-122-1-1-12222-2-2-2-2-1-1-2-2-2-22222-1-1-1-100000000000011111111-1-1-1-10000000000-22-221-1-110000
χ372-22-222-2-2-220000002-22-2i2−i2i2−i2i2−i2i2−i20000002i−2i002i−2i2i2i−2i−2i002-2i2−i2i2−i2i2−i2i2−i2002−22−22−22−2000000000000
χ382-22-222-2-2-220000002-22-2i2−i2i2−i2i2−i2i2−i2000000−2i2i00−2i2i−2i−2i2i2i002-2i2−i2i2−i2i2−i2i2−i200−22−22−22−22000000000000
χ392-22-222-2-2-220000002-22-2−i2i2−i2i2−i2i2−i2i20000002i−2i002i−2i2i2i−2i−2i002-2−i2i2−i2i2−i2i2−i2i200−22−22−22−22000000000000
χ402-22-222-2-2-220000002-22-2−i2i2−i2i2−i2i2−i2i2000000−2i2i00−2i2i−2i−2i2i2i002-2−i2i2−i2i2−i2i2−i2i2002−22−22−22−2000000000000
χ412-22-222-2-2-22000000-222-2i2−i2i2−i2−i2i2−i2i20000002i−2i002i−2i−2i−2i2i2i00-22i2−i2i2−i2−i2i2−i2i200−22−222−22−2000000000000
χ422-22-222-2-2-22000000-222-2i2−i2i2−i2−i2i2−i2i2000000−2i2i00−2i2i2i2i−2i−2i00-22i2−i2i2−i2−i2i2−i2i2002−22−2−22−22000000000000
χ432-22-222-2-2-22000000-222-2−i2i2−i2i2i2−i2i2−i20000002i−2i002i−2i−2i−2i2i2i00-22−i2i2−i2i2i2−i2i2−i2002−22−2−22−22000000000000
χ442-22-222-2-2-22000000-222-2−i2i2−i2i2i2−i2i2−i2000000−2i2i00−2i2i2i2i−2i−2i00-22−i2i2−i2i2i2−i2i2−i200−22−222−22−2000000000000
χ452-22-22-22-2-2222-2-20000-2200002i−2i−2i2i22-2-2002i−2i00−2i2i0000000000002i−2i−2i2i2i−2i2-2-220000000000000000
χ462-22-22-22-2-2222-2-20000-2200002i−2i−2i2i22-2-200−2i2i002i−2i0000000000002i−2i−2i2i−2i2i-222-20000000000000000
χ472-22-22-22-2-2222-2-20000-220000−2i2i2i−2i22-2-2002i−2i00−2i2i000000000000−2i2i2i−2i2i−2i-222-20000000000000000
χ482-22-22-22-2-2222-2-20000-220000−2i2i2i−2i22-2-200−2i2i002i−2i000000000000−2i2i2i−2i−2i2i2-2-220000000000000000
χ492-22-22-22-2-22-2-2220000-222i−2i−2i2i0000-2-222002i−2i00−2i2i000000002i−2i−2i2i0000−2i2i00002-2-22000000000000
χ502-22-22-22-2-22-2-2220000-222i−2i−2i2i0000-2-22200−2i2i002i−2i000000002i−2i−2i2i00002i−2i0000-222-2000000000000
χ512-22-22-22-2-22-2-2220000-22−2i2i2i−2i0000-2-222002i−2i00−2i2i00000000−2i2i2i−2i0000−2i2i0000-222-2000000000000
χ522-22-22-22-2-22-2-2220000-22−2i2i2i−2i0000-2-22200−2i2i002i−2i00000000−2i2i2i−2i00002i−2i00002-2-22000000000000
χ534444-244-2-2-2-4-4-4-444-4-4-2-2000000002222000000000000-2-222000000000000000000000000000000
χ544444-244-2-2-2-4-4-4-4-4-444-2-200000000222200000000000022-2-2000000000000000000000000000000
χ554444-2-4-4-2-2-200004-400222222−22−222222−22−220000000000000000-2200−2−222−2−2220000000000000000000000
χ564444-2-4-4-2-2-200004-40022−22−222222−22−2222220000000000000000-220022−2−222−2−20000000000000000000000
χ574444-2-4-4-2-2-20000-4400222222−22−22−22−22222200000000000000002-200−2−22222−2−20000000000000000000000
χ584444-2-4-4-2-2-20000-440022−22−2222222222−22−2200000000000000002-20022−2−2−2−2220000000000000000000000
χ5944-4-44004-4-422−2222−220000000000000022−2222−224-400000022−2222−220000000000000000000000000000000000
χ6044-4-44004-4-422−2222−220000000000000022−2222−22-44000000−2222−22220000000000000000000000000000000000
χ6144-4-44004-4-4−2222−222200000000000000−2222−22224-4000000−2222−22220000000000000000000000000000000000
χ6244-4-44004-4-4−2222−222200000000000000−2222−2222-4400000022−2222−220000000000000000000000000000000000
χ634-44-4-24-422-20000004-4-222i2−2i22i2−2i22i2−2i22i2−2i2000000000000000000-22−i2i2−i2i2−i2i2−i2i20000000000000000000000
χ644-44-4-24-422-20000004-4-22−2i22i2−2i22i2−2i22i2−2i22i2000000000000000000-22i2−i2i2−i2i2−i2i2−i20000000000000000000000
χ654-44-4-24-422-2000000-44-222i2−2i22i2−2i2−2i22i2−2i22i20000000000000000002-2−i2i2−i2i2i2−i2i2−i20000000000000000000000
χ664-44-4-24-422-2000000-44-22−2i22i2−2i22i22i2−2i22i2−2i20000000000000000002-2i2−i2i2−i2−i2i2−i2i20000000000000000000000
χ674-44-4-2-4422-244-4-400002-200004i−4i−4i4i-2-22200000000000000000000−2i2i2i−2i0000000000000000000000
χ684-44-4-2-4422-244-4-400002-20000−4i4i4i−4i-2-222000000000000000000002i−2i−2i2i0000000000000000000000
χ694-44-4-2-4422-2-4-44400002-24i−4i−4i4i000022-2-20000000000000000−2i2i2i−2i00000000000000000000000000
χ704-44-4-2-4422-2-4-44400002-2−4i4i4i−4i000022-2-200000000000000002i−2i−2i2i00000000000000000000000000
χ714-4-44400-44-422−22−22220000000000000022−22−222200004i−4i002i2−2i2−2i22i20000000000000000000000000000000000
χ724-4-44400-44-422−22−22220000000000000022−22−22220000−4i4i00−2i22i22i2−2i20000000000000000000000000000000000
χ734-4-44400-44-4−222222−2200000000000000−222222−2200004i−4i00−2i22i22i2−2i20000000000000000000000000000000000
χ744-4-44400-44-4−222222−2200000000000000−222222−220000−4i4i002i2−2i2−2i22i20000000000000000000000000000000000
χ7588-8-8-400-44442−4242−4200000000000000−2222−22220000000000000000000000000000000000000000000000
χ7688-8-8-400-444−4242−42420000000000000022−2222−220000000000000000000000000000000000000000000000
χ778-8-88-4004-4442−42−424200000000000000−222222−220000000000000000000000000000000000000000000000
χ788-8-88-4004-44−424242−420000000000000022−22−22220000000000000000000000000000000000000000000000

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