Finite Group Databasebeta

← Group #10696065

Character table — Group #10696065

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size111122222222444444444448888161616161616161616161616161616161616242424242424242448484848
order122222344666444446612121212121212122466888812122424242424242424224488882444
χ1111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ41111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ5111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ6111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1
χ8111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111
χ9222222222222-22-2-2-22222-2-22-2-2-200000000000000000000000000002-2
χ10222222222222-22-2-2-22222-2-22-2-2-20000000000000000000000000000-22
χ112222222-2-22222-2-22-222-2-222-22-2-200000000000000000022-2-200000000
χ122222222-2-22222-2-22-222-2-222-22-2-2000000000000000000-2-22200000000
χ132222222-2-2222-2-22-2222-2-2-2-2-2-2222-2220000-2-200000000000000000000
χ142222222-2-2222-2-22-2222-2-2-2-2-2-222-22-2-200002200000000000000000000
χ15222222-122-1-1-122222-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1000000000000
χ16222222-122-1-1-122222-1-1-1-1-1-1-1-1-1-122-1-1-2-2-2-2-1-111111111000000000000
χ17222222-122-1-1-122222-1-1-1-1-1-1-1-1-1-1-2-21122-2-211-1-1-1-11111000000000000
χ18222222-122-1-1-122222-1-1-1-1-1-1-1-1-1-1-2-211-2-222111111-1-1-1-1000000000000
χ19222222-1-2-2-1-1-1-2-22-22-1-1111111-1-12-2-1-100001133−3−333−3−3000000000000
χ20222222-1-2-2-1-1-1-2-22-22-1-1111111-1-12-2-1-1000011−3−333−3−333000000000000
χ21222222-1-2-2-1-1-1-2-22-22-1-1111111-1-1-22110000-1-133−3−3−3−333000000000000
χ22222222-1-2-2-1-1-1-2-22-22-1-1111111-1-1-22110000-1-1−3−33333−3−3000000000000
χ232222-2-22222222-2-2-22-2-222-2-2-222-2000000000000000000000022-2-20000
χ242222-2-22222222-2-2-22-2-222-2-2-222-20000000000000000000000-2-2220000
χ252222-2-2222222-2-222-2-2-22222-2-2-220000002-20000002-22-2000000000000
χ262222-2-2222222-2-222-2-2-22222-2-2-22000000-22000000-22-22000000000000
χ272222-2-22-2-2222222-2-2-2-2-2-2-2-222-2200002i−2i00002i−2i2i−2i0000000000000000
χ282222-2-22-2-2222222-2-2-2-2-2-2-2-222-220000−2i2i0000−2i2i−2i2i0000000000000000
χ292222-2-22-2-2222-22-222-2-2-2-2222-22-2000000000000000000000000002-200
χ302222-2-22-2-2222-22-222-2-2-2-2222-22-200000000000000000000000000-2200
χ312222-2-2-122-1-1-1-2-222-211-1-1-1-1111-100−i3i3002-2−i3i3−i3i3i3−i3-11-11000000000000
χ322222-2-2-122-1-1-1-2-222-211-1-1-1-1111-100−i3i300-22−i3i3i3−i3−i3i31-11-1000000000000
χ332222-2-2-122-1-1-1-2-222-211-1-1-1-1111-100i3−i3002-2i3−i3i3−i3−i3i3-11-11000000000000
χ342222-2-2-122-1-1-1-2-222-211-1-1-1-1111-100i3−i300-22i3−i3−i3i3i3−i31-11-1000000000000
χ352222-2-2-1-2-2-1-1-1222-2-2111111-1-11-100−i3i32i−2i00i3−i3−ii−ii3−3−33000000000000
χ362222-2-2-1-2-2-1-1-1222-2-2111111-1-11-100−i3i3−2i2i00i3−i3i−ii−i−333−3000000000000
χ372222-2-2-1-2-2-1-1-1222-2-2111111-1-11-100i3−i32i−2i00−i3i3−ii−ii−333−3000000000000
χ382222-2-2-1-2-2-1-1-1222-2-2111111-1-11-100i3−i3−2i2i00−i3i3i−ii−i3−3−33000000000000
χ39444444-244-2-2-2-44-4-4-4-2-2-2-222-2222000000000000000000000000000000
χ40444444-2-4-4-2-2-24-4-44-4-2-222-2-22-222000000000000000000000000000000
χ414444-4-4-244-2-2-24-4-4-4422-2-2222-2-22000000000000000000000000000000
χ424444-4-4-2-4-4-2-2-2-44-4442222-2-2-22-22000000000000000000000000000000
χ4344-4-40044i−4i4-4-400000004i−4i0000000000000000000000002-22i−2i00000000
χ4444-4-40044i−4i4-4-400000004i−4i000000000000000000000000-22−2i2i00000000
χ4544-4-4004−4i4i4-4-40000000−4i4i0000000000000000000000002-2−2i2i00000000
χ4644-4-4004−4i4i4-4-40000000−4i4i000000000000000000000000-222i−2i00000000
χ474-4-444-4400-4-44000004-40000000000000000000000000000002-22-20000
χ484-4-444-4400-4-44000004-4000000000000000000000000000000-22-220000
χ494-4-44-44400-4-4400000-440000000000000000000000000000002-2-220000
χ504-4-44-44400-4-4400000-44000000000000000000000000000000-222-20000
χ5188-8-800-48i−8i-4440000000−4i4i000000000000000000000000000000000000
χ5288-8-800-4−8i8i-44400000004i−4i000000000000000000000000000000000000
χ538-88-800800-88-8000000000000000000000000000000000000000000000
χ548-88-800-4004-4400000000043−430000000000000000000000000000000000
χ558-88-800-4004-44000000000−43430000000000000000000000000000000000
χ568-8-888-8-40044-400000-4400000000000000000000000000000000000000
χ578-8-88-88-40044-4000004-400000000000000000000000000000000000000

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