Finite Group Databasebeta

← Group #10843204

Character table — Group #10843204

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222222222444444444444888888888888888888121212121212121212121212161616161616161616162424242424244848
order1222223444466688886688121212122424242422244466881212242424242424224444448888668812122424242424448844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1
χ411111111111111111111111111111111-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-111
χ5111111111111111111111111111111-1-11-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111111111111-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111111111-1-1-1-1
χ911111111111111-1-1-1-111-1-11111-1-1-1-1111-1-1111-1-111-1-1-1-1-1-11111-1-1-1-11111111-1-1-111-1-11-1-11-1-11-1
χ1011111111111111-1-1-1-111-1-11111-1-1-1-1111-1-1111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-111-1-1-111-111-11
χ1111111111111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-111-11-1-1-1-1111-1-11-1-1-11
χ1211111111111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-11-1-1-1-111-111-1111-1
χ1311111111111111-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1111-1-111-111-1-1-1-11
χ1411111111111111-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111-1-1111-1-11111-1
χ1511111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-1-111-1-1-1-1111111111111-1-1-1-1-1-11-11111-1-1-111-1-1-11-1
χ1611111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-11111-1-11-1-1111-11
χ17222222-12222-1-1-12222-1-122-1-1-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1000000000000-1-122-1-1-1-1-1-100000000
χ18222222-12222-1-1-12222-1-122-1-1-1-1-1-1-1-122-222-211-2-211-1-11111000000000000-1-1-2-2-1-1111100000000
χ19222222-12222-1-1-12222-1-122-1-1-1-1-1-1-1-1-2-22-2-22-1-122-1-1-1-1-1-1-1-100000000000011-2-211111100000000
χ20222222-12222-1-1-12222-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-211-2-211-1-11111000000000000112211-1-1-1-100000000
χ21222222-12222-1-1-1-2-2-2-2-1-1-2-2-1-1-1-11111222-2-22-1-1-2-2-1-1111111000000000000-1-12-211-1-11100000000
χ22222222-12222-1-1-1-2-2-2-2-1-1-2-2-1-1-1-1111122-2-2-2-211221111-1-1-1-1000000000000-1-1-221111-1-100000000
χ23222222-12222-1-1-1-2-2-2-2-1-1-2-2-1-1-1-11111-2-22222-1-1-2-2-1-111111100000000000011-22-1-111-1-100000000
χ24222222-12222-1-1-1-2-2-2-2-1-1-2-2-1-1-1-11111-2-2-222-211221111-1-1-1-1000000000000112-2-1-1-1-11100000000
χ252222-2-222-2-222222222-2-2-2-22-2-222222000000000000-2-20000000000000000000000000022-2-20000
χ262222-2-222-2-222222222-2-2-2-22-2-222222000000000000-2-200000000000000000000000000-2-2220000
χ272222-2-222-2-22222-2-2-2-2-2-2222-2-22-2-2-2-200000000000022000000000000000000000000002-22-20000
χ282222-2-222-2-22222-2-2-2-2-2-2222-2-22-2-2-2-20000000000002200000000000000000000000000-22-220000
χ292222-2-22-222-22220000-2-200-222-2000000200-22200-2-200000022-2-2000022-2-2000000000000000000
χ302222-2-22-222-22220000-2-200-222-2000000200-22200-2-2000000-2-2220000-2-222000000000000000000
χ312222-2-22-222-22220000-2-200-222-2000000-2002-2-2002200000022-2-20000-2-222000000000000000000
χ322222-2-22-222-22220000-2-200-222-2000000-2002-2-20022000000-2-222000022-2-2000000000000000000
χ332-2-222-222-22-2-22-22i2i−2i−2i2-22i−2i22-2-22i2i−2i−2i0000000000002i−2i00002-22-200000000000000000000002i−2i00
χ342-2-222-222-22-2-22-22i2i−2i−2i2-22i−2i22-2-22i2i−2i−2i0000000000002i−2i0000-22-220000000000000000000000−2i2i00
χ352-2-222-222-22-2-22-2−2i−2i2i2i2-2−2i2i22-2-2−2i−2i2i2i000000000000−2i2i00002-22-20000000000000000000000−2i2i00
χ362-2-222-222-22-2-22-2−2i−2i2i2i2-2−2i2i22-2-2−2i−2i2i2i000000000000−2i2i0000-22-2200000000000000000000002i−2i00
χ372-2-22-22222-2-2-22-22i2i−2i−2i-22−2i2i2-22-22i2i−2i−2i2-202i−2i0000000−2i2i00000000000000002-2002i−2i000000000000
χ382-2-22-22222-2-2-22-22i2i−2i−2i-22−2i2i2-22-22i2i−2i−2i-220−2i2i0000000−2i2i0000000000000000-2200−2i2i000000000000
χ392-2-22-22222-2-2-22-2−2i−2i2i2i-222i−2i2-22-2−2i−2i2i2i2-20−2i2i00000002i−2i00000000000000002-200−2i2i000000000000
χ402-2-22-22222-2-2-22-2−2i−2i2i2i-222i−2i2-22-2−2i−2i2i2i-2202i−2i00000002i−2i0000000000000000-22002i−2i000000000000
χ412-2-22-222-2-222-22-20000-2200-22-220000000000002-2000022-2-22-2-2222-2-20000000000000000000000
χ422-2-22-222-2-222-22-20000-2200-22-220000000000002-2000022-2-2-222-2-2-2220000000000000000000000
χ432-2-22-222-2-222-22-20000-2200-22-22000000000000-220000-2-2222-2-22-2-2220000000000000000000000
χ442-2-22-222-2-222-22-20000-2200-22-22000000000000-220000-2-222-222-222-2-20000000000000000000000
χ452-2-22-22-122-2-21-112i2i−2i−2i1-1−2i2i-11-11−i−iii2-202i−2i0−i3i300−i3i3i−i3−33−3000000000000-1100−ii−i3i33−300000000
χ462-2-22-22-122-2-21-112i2i−2i−2i1-1−2i2i-11-11−i−iii2-202i−2i0i3−i300i3−i3i−i−33−33000000000000-1100−iii3−i3−3300000000
χ472-2-22-22-122-2-21-112i2i−2i−2i1-1−2i2i-11-11−i−iii-220−2i2i0−i3i300−i3i3i−i3−33−30000000000001-100i−ii3−i3−3300000000
χ482-2-22-22-122-2-21-112i2i−2i−2i1-1−2i2i-11-11−i−iii-220−2i2i0i3−i300i3−i3i−i−33−330000000000001-100i−i−i3i33−300000000
χ492-2-22-22-122-2-21-11−2i−2i2i2i1-12i−2i-11-11ii−i−i2-20−2i2i0−i3i300−i3i3−ii−33−33000000000000-1100i−i−i3i3−3300000000
χ502-2-22-22-122-2-21-11−2i−2i2i2i1-12i−2i-11-11ii−i−i2-20−2i2i0i3−i300i3−i3−ii3−33−3000000000000-1100i−ii3−i33−300000000
χ512-2-22-22-122-2-21-11−2i−2i2i2i1-12i−2i-11-11ii−i−i-2202i−2i0−i3i300−i3i3−ii−33−330000000000001-100−iii3−i33−300000000
χ522-2-22-22-122-2-21-11−2i−2i2i2i1-12i−2i-11-11ii−i−i-2202i−2i0i3−i300i3−i3−ii3−33−30000000000001-100−ii−i3i3−3300000000
χ534444444-4-4-4-444400004400-4-4-4-40000000000000000000000000000000000000000000000000000
χ54444444-2-4-4-4-4-2-2-20000-2-200222200000000000000000023−23−2323000000000000000000000000000000
χ55444444-2-4-4-4-4-2-2-20000-2-2002222000000000000000000−232323−23000000000000000000000000000000
χ564444-4-4-24-4-44-2-2-2444422-4-4-222-2-2-2-2-2000000000000220000000000000000000000000000000000
χ574444-4-4-24-4-44-2-2-2-4-4-4-42244-222-22222000000000000-2-20000000000000000000000000000000000
χ584444-4-4-2-444-4-2-2-2000022002-2-22000000400-4-2-20022000000000000000000000000000000000000
χ594444-4-4-2-444-4-2-2-2000022002-2-22000000-40042200-2-2000000000000000000000000000000000000
χ6044-4-40040000-4-4422−2222−220000000022−2222−2200000000000000000000002i−2i2i−2i00−2i22i2000000000000000000
χ6144-4-40040000-4-4422−2222−220000000022−2222−220000000000000000000000−2i2i−2i2i002i2−2i2000000000000000000
χ6244-4-40040000-4-44−2222−222200000000−2222−222200000000000000000000002i−2i2i−2i002i2−2i2000000000000000000
χ6344-4-40040000-4-44−2222−222200000000−2222−22220000000000000000000000−2i2i−2i2i00−2i22i2000000000000000000
χ644-44-400400004-4-4−2i22i22i2−2i200000000−2i22i22i2−2i200000000000000000000002i−2i−2i2i22−2200000000000000000000
χ654-44-400400004-4-4−2i22i22i2−2i200000000−2i22i22i2−2i20000000000000000000000−2i2i2i−2i−222200000000000000000000
χ664-44-400400004-4-42i2−2i2−2i22i2000000002i2−2i2−2i22i200000000000000000000002i−2i−2i2i−222200000000000000000000
χ674-44-400400004-4-42i2−2i2−2i22i2000000002i2−2i2−2i22i20000000000000000000000−2i2i2i−2i22−2200000000000000000000
χ684-4-444-44-44-44-44-400004-400-4-4440000000000000000000000000000000000000000000000000000
χ694-4-444-4-24-44-42-224i4i−4i−4i-224i−4i-2-222−2i−2i2i2i000000000000−2i2i0000000000000000000000000000000000
χ704-4-444-4-24-44-42-22−4i−4i4i4i-22−4i4i-2-2222i2i−2i−2i0000000000002i−2i0000000000000000000000000000000000
χ714-4-444-4-2-44-442-220000-220022-2-20000000000−2i32i3002i3−2i3000000000000000000000000000000000000
χ724-4-444-4-2-44-442-220000-220022-2-200000000002i3−2i300−2i32i3000000000000000000000000000000000000
χ734-4-44-44-2-4-4442-2200002-2002-22-20000000000004-40000-2-222000000000000000000000000000000
χ744-4-44-44-2-4-4442-2200002-2002-22-2000000000000-44000022-2-2000000000000000000000000000000
χ7588-8-800-4000044-442−4242−4200000000−2222−2222000000000000000000000000000000000000000000000000
χ7688-8-800-4000044-4−4242−42420000000022−2222−22000000000000000000000000000000000000000000000000
χ778-88-800-40000-444−4i24i24i2−4i2000000002i2−2i2−2i22i2000000000000000000000000000000000000000000000000
χ788-88-800-40000-4444i2−4i2−4i24i200000000−2i22i22i2−2i2000000000000000000000000000000000000000000000000

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