Finite Group Databasebeta

← Group #10877167

Character table — Group #10877167

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222222244444444444466668888888888888888881212121212121616161616161616161624242424242424244848
order122222344446668888668812121212242424242222244444668812122424242424244488888812121212242424244444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1
χ31111111111111111111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ5111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1
χ911111111111111-1-1-1-111-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-111-1-1-1-11-111-1-111-1-11111-1-1-1-11-1
χ1011111111111111-1-1-1-111-1-11111-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-11-1-111-1-11111-1-111-1-1-11
χ1111111111111111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1111-1-1-1-111-1-111-1-111-11
χ1211111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11-1-1-11111-1-1-1-1-1-111111-1
χ1311111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-111111-111-1-111-1-1-1-1-1-11111-11
χ1411111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111-11-1-111-1-111-1-111-1-1111-1
χ1511111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1111-1-1-1-11111-1-111-1-11-1
χ1611111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111111-1-1-11111-1-11111-1-1-1-1-11
χ172222222-2-2-2-222200002200-2-2-2-200002222000000002i−2i00002i2i−2i−2i-2-2000000000000000000002i−2i00
χ182222222-2-2-2-222200002200-2-2-2-20000222200000000−2i2i0000−2i−2i2i2i-2-200000000000000000000−2i2i00
χ192222222-2-2-2-222200002200-2-2-2-20000-2-2-2-2000000002i−2i00002i2i−2i−2i2200000000000000000000−2i2i00
χ202222222-2-2-2-222200002200-2-2-2-20000-2-2-2-200000000−2i2i0000−2i−2i2i2i22000000000000000000002i−2i00
χ21222222-12222-1-1-12222-1-122-1-1-1-1-1-1-1-10000222222-1-122-1-1-1-1-1-1-1-100000022-1-1-1-1-1-1-1-10000000000
χ22222222-12222-1-1-12222-1-122-1-1-1-1-1-1-1-1000022-2-2-2-2-1-122-1-1-1-1-1-1-1-1000000-2-2111111110000000000
χ23222222-12222-1-1-12222-1-122-1-1-1-1-1-1-1-10000-2-2222211-2-211-1-11111000000-2-2-1-1-1-111110000000000
χ24222222-12222-1-1-12222-1-122-1-1-1-1-1-1-1-10000-2-2-2-2-2-211-2-211-1-11111000000221111-1-1-1-10000000000
χ25222222-12222-1-1-1-2-2-2-2-1-1-2-2-1-1-1-1111100002222-2-2-1-1-2-2-1-11111110000002-2-1-111-1-1110000000000
χ26222222-12222-1-1-1-2-2-2-2-1-1-2-2-1-1-1-11111000022-2-222-1-1-2-2-1-1111111000000-2211-1-111-1-10000000000
χ27222222-12222-1-1-1-2-2-2-2-1-1-2-2-1-1-1-111110000-2-222-2-211221111-1-1-1-1000000-22-1-11111-1-10000000000
χ28222222-12222-1-1-1-2-2-2-2-1-1-2-2-1-1-1-111110000-2-2-2-22211221111-1-1-1-10000002-211-1-1-1-1110000000000
χ292222-2-222-2-222220000-2-2002-22-2000022-2-22-200002200-2-20000002-2000000000000002-200000000
χ302222-2-222-2-222220000-2-2002-22-2000022-2-2-220000-2-200220000002-200000000000000-2200000000
χ312222-2-222-2-222220000-2-2002-22-20000-2-2222-200002200-2-2000000-2200000000000000-2200000000
χ322222-2-222-2-222220000-2-2002-22-20000-2-222-220000-2-20022000000-22000000000000002-200000000
χ332222-2-22-222-22222222-2-2-2-2-22-22222222-2-2000000000000-2-20000-2222-2-200000000000000000000
χ342222-2-22-222-22222222-2-2-2-2-22-222222-2-222000000000000-2-200002-2-2-22200000000000000000000
χ352222-2-22-222-2222-2-2-2-2-2-222-22-22-2-2-2-222-2-2000000000000220000-22-2-22200000000000000000000
χ362222-2-22-222-2222-2-2-2-2-2-222-22-22-2-2-2-2-2-2220000000000002200002-222-2-200000000000000000000
χ372-22-22-222-22-2-22-222-2-22-22-2-2-22222-2-200000000000000002-200000000000000000000002i−2i2i−2i0000
χ382-22-22-222-22-2-22-222-2-22-22-2-2-22222-2-200000000000000002-20000000000000000000000−2i2i−2i2i0000
χ392-22-22-222-22-2-22-2-2-2222-2-22-2-222-2-2220000000000000000-2200000000000000000000002i−2i−2i2i0000
χ402-22-22-222-22-2-22-2-2-2222-2-22-2-222-2-2220000000000000000-220000000000000000000000−2i2i2i−2i0000
χ412-22-2-222-2-222-22-222-2-2-22-222-2-2222-2-20000002i−2i2i−2i000000-220000000000002i−2i2i−2i00000000000000
χ422-22-2-222-2-222-22-222-2-2-22-222-2-2222-2-2000000−2i2i−2i2i000000-22000000000000−2i2i−2i2i00000000000000
χ432-22-2-222-2-222-22-2-2-222-222-22-2-22-2-2220000002i−2i−2i2i0000002-20000000000002i−2i−2i2i00000000000000
χ442-22-2-222-2-222-22-2-2-222-222-22-2-22-2-222000000−2i2i2i−2i0000002-2000000000000−2i2i2i−2i00000000000000
χ452-22-2-22-1-2-2221-1122-2-21-1-22-111-1-1-1110000002i−2i2i−2i−i3i300−i3i31-1−i3i3−i3i300000000−ii−ii3−33−30000000000
χ462-22-2-22-1-2-2221-1122-2-21-1-22-111-1-1-1110000002i−2i2i−2ii3−i300i3−i31-1i3−i3i3−i300000000−ii−ii−33−330000000000
χ472-22-2-22-1-2-2221-1122-2-21-1-22-111-1-1-111000000−2i2i−2i2i−i3i300−i3i31-1−i3i3−i3i300000000i−ii−i−33−330000000000
χ482-22-2-22-1-2-2221-1122-2-21-1-22-111-1-1-111000000−2i2i−2i2ii3−i300i3−i31-1i3−i3i3−i300000000i−ii−i3−33−30000000000
χ492-22-2-22-1-2-2221-11-2-2221-12-2-111-111-1-10000002i−2i−2i2i−i3i300−i3i3-11i3−i3i3−i300000000−iii−i3−3−330000000000
χ502-22-2-22-1-2-2221-11-2-2221-12-2-111-111-1-10000002i−2i−2i2ii3−i300i3−i3-11−i3i3−i3i300000000−iii−i−333−30000000000
χ512-22-2-22-1-2-2221-11-2-2221-12-2-111-111-1-1000000−2i2i2i−2i−i3i300−i3i3-11i3−i3i3−i300000000i−i−ii−333−30000000000
χ522-22-2-22-1-2-2221-11-2-2221-12-2-111-111-1-1000000−2i2i2i−2ii3−i300i3−i3-11−i3i3−i3i300000000i−i−ii3−3−330000000000
χ53444444-2-4-4-4-4-2-2-20000-2-200222200000000000000004i−4i0000−2i−2i2i2i00000000000000000000000000
χ54444444-2-4-4-4-4-2-2-20000-2-20022220000000000000000−4i4i00002i2i−2i−2i00000000000000000000000000
χ554444-4-4-24-4-44-2-2-200002200-22-22000000004-40000-2-2002200000000000000000000000000000000
χ564444-4-4-24-4-44-2-2-200002200-22-2200000000-4400002200-2-200000000000000000000000000000000
χ574444-4-4-2-444-4-2-2-2444422-4-42-22-2-2-2-2-2000000000000000022000000000000000000000000000000
χ584444-4-4-2-444-4-2-2-2-4-4-4-422442-22-222220000000000000000-2-2000000000000000000000000000000
χ5944-4-400400004-4-422−2222−220000000022−2222−224-4000000000000000000000022−220000000000000000000000
χ6044-4-400400004-4-422−2222−220000000022−2222−22-440000000000000000000000−22220000000000000000000000
χ6144-4-400400004-4-4−2222−222200000000−2222−22224-40000000000000000000000−22220000000000000000000000
χ6244-4-400400004-4-4−2222−222200000000−2222−2222-44000000000000000000000022−220000000000000000000000
χ634-44-44-44-44-44-44-400004-40044-4-40000000000000000000000000000000000000000000000000000
χ644-44-44-4-24-44-42-2244-4-4-224-422-2-2-2-2220000000000000000-22000000000000000000000000000000
χ654-44-44-4-24-44-42-22-4-444-22-4422-2-222-2-200000000000000002-2000000000000000000000000000000
χ664-44-44-4-2-44-442-220000-2200-2-22200000000000000−2i32i3002i3−2i300000000000000000000000000000000
χ674-44-44-4-2-44-442-220000-2200-2-222000000000000002i3−2i300−2i32i300000000000000000000000000000000
χ684-44-4-44444-4-4-44-40000-4400-444-40000000000000000000000000000000000000000000000000000
χ694-44-4-44-244-4-42-2200002-2002-2-22000000000000000000000023−23−232300000000000000000000000000
χ704-44-4-44-244-4-42-2200002-2002-2-220000000000000000000000−232323−2300000000000000000000000000
χ714-4-440040000-4-4422−22−22220000000022−22−2222004-4000000000000000000000022−2200000000000000000000
χ724-4-440040000-4-4422−22−22220000000022−22−222200-440000000000000000000000−222200000000000000000000
χ734-4-440040000-4-44−222222−2200000000−222222−22004-40000000000000000000000−222200000000000000000000
χ744-4-440040000-4-44−222222−2200000000−222222−2200-44000000000000000000000022−2200000000000000000000
χ7588-8-800-40000-44442−4242−4200000000−2222−2222000000000000000000000000000000000000000000000000
χ7688-8-800-40000-444−4242−42420000000022−2222−22000000000000000000000000000000000000000000000000
χ778-8-8800-4000044-442−42−424200000000−222222−22000000000000000000000000000000000000000000000000
χ788-8-8800-4000044-4−424242−420000000022−22−2222000000000000000000000000000000000000000000000000

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