Finite Group Databasebeta

← Group #10827708

Character table — Group #10827708

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size112222222224444444444488888888888888888888121212121212161616161616161616162424242424242424244848
order12222344446444466612121212244444881212121212121212121212122244444681212122424242424444448848
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1111111-11-11-1-111-1-111-1-11-1-111-1-1
χ4111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-111-111-1-111
χ51111111111111111111111-1-11111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ61111111111111111111111-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111-11-111-1-111-1-1-1-11-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-11-111-1-1111111-11111-1-1
χ911111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1111-1-1-1-111-1-1-111-1-11-1
χ1011111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-1-1-1111-1-111-11
χ1111111111111-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1111-1-1-1-1111111-1-1-1-1-1-11
χ1211111111111-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1111-1-1-1-111-1-1-1-1111111-1
χ1311111111111-1-1-1-11111111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-1-11111-11
χ1411111111111-1-1-1-11111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1111111111-1-1-1-11-1
χ1511111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11-1-1-11111-1-1-1-111-1-1-1111-1
χ1611111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-11111-1-111-1-1111-1-1-11
χ17222222-2-2-2-220000222-2-2-2-2002-2000022-2-2000000002-22-2000000000000000002-20000
χ18222222-2-2-2-220000222-2-2-2-2002-2000022-2-200000000-22-2200000000000000000-220000
χ19222222-2-2-2-220000222-2-2-2-200-220000-2-222000000002-22-200000000000000000-220000
χ20222222-2-2-2-220000222-2-2-2-200-220000-2-22200000000-22-22000000000000000002-20000
χ2122222-12222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-10000002-12-1-1-1-1-1-1-100000000000
χ2222222-12222-12222-1-1-1-1-1-1-122-2-2-2-2221111-1-1-1-11111000000-2-1-2-111-1-11100000000000
χ2322222-12222-12222-1-1-1-1-1-1-1-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1000000-21-2111111100000000000
χ2422222-12222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111-1-1-1-111110000002121-1-111-1-100000000000
χ2522222-12222-1-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1111111110000002-1-2-1-1-1111100000000000
χ2622222-12222-1-2-2-2-2-1-1-1-1-1-1-122-2-222-2-211111111-1-1-1-1000000-2-12-11111-1-100000000000
χ2722222-12222-1-2-2-2-2-1-1-1-1-1-1-1-2-222-2-222-1-1-1-111111111000000-212111-1-1-1-100000000000
χ2822222-12222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2222211111111-1-1-1-100000021-21-1-1-1-11100000000000
χ29222-2-222-22-222i2i−2i−2i-22-222-2-22-200002i−2i00002i2i−2i−2i0000000000020-2002i−2i0000000000000
χ30222-2-222-22-222i2i−2i−2i-22-222-2-2-220000−2i2i00002i2i−2i−2i00000000000-20200−2i2i0000000000000
χ31222-2-222-22-22−2i−2i2i2i-22-222-2-22-20000−2i2i0000−2i−2i2i2i0000000000020-200−2i2i0000000000000
χ32222-2-222-22-22−2i−2i2i2i-22-222-2-2-2200002i−2i0000−2i−2i2i2i00000000000-202002i−2i0000000000000
χ33222-2-2-12-22-2-12i2i−2i−2i1-11-1-1112-200002i−2i−i3i3−i3i3−i−iii33−3−30000000-101−i3i3−ii3−300000000000
χ34222-2-2-12-22-2-12i2i−2i−2i1-11-1-1112-200002i−2ii3−i3i3−i3−i−iii−3−3330000000-101i3−i3−ii−3300000000000
χ35222-2-2-12-22-2-12i2i−2i−2i1-11-1-111-220000−2i2i−i3i3−i3i3−i−iii33−3−3000000010-1i3−i3i−i−3300000000000
χ36222-2-2-12-22-2-12i2i−2i−2i1-11-1-111-220000−2i2ii3−i3i3−i3−i−iii−3−333000000010-1−i3i3i−i3−300000000000
χ37222-2-2-12-22-2-1−2i−2i2i2i1-11-1-1112-20000−2i2i−i3i3−i3i3ii−i−i−3−3330000000-101−i3i3i−i−3300000000000
χ38222-2-2-12-22-2-1−2i−2i2i2i1-11-1-1112-20000−2i2ii3−i3i3−i3ii−i−i33−3−30000000-101i3−i3i−i3−300000000000
χ39222-2-2-12-22-2-1−2i−2i2i2i1-11-1-111-2200002i−2i−i3i3−i3i3ii−i−i−3−333000000010-1i3−i3−ii3−300000000000
χ40222-2-2-12-22-2-1−2i−2i2i2i1-11-1-111-2200002i−2ii3−i3i3−i3ii−i−i33−3−3000000010-1−i3i3−ii−3300000000000
χ4122-22-2222-2-222i−2i2i−2i2-2-22-22-20000000000002i−2i2i−2i000000000000000000002-2000002i−2i00
χ4222-22-2222-2-222i−2i2i−2i2-2-22-22-20000000000002i−2i2i−2i00000000000000000000-2200000−2i2i00
χ4322-22-2222-2-22−2i2i−2i2i2-2-22-22-2000000000000−2i2i−2i2i000000000000000000002-200000−2i2i00
χ4422-22-2222-2-22−2i2i−2i2i2-2-22-22-2000000000000−2i2i−2i2i00000000000000000000-22000002i−2i00
χ4522-2-2222-2-2222-2-22-2-222-2-220000000000002-2-2200002-2-222200000000000000-2000000
χ4622-2-2222-2-2222-2-22-2-222-2-220000000000002-2-220000-222-2-2-2000000000000002000000
χ4722-2-2222-2-222-222-2-2-222-2-22000000000000-222-200002-2-22-2-2000000000000002000000
χ4822-2-2222-2-222-222-2-2-222-2-22000000000000-222-20000-222-22200000000000000-2000000
χ4922-2-222-222-220000-2-22-222-200002-200000000002-22-222-2-2000000000000002-20000000
χ5022-2-222-222-220000-2-22-222-200002-200000000002-22-2-2-22200000000000000-220000000
χ5122-2-222-222-220000-2-22-222-20000-220000000000-22-2222-2-200000000000000-220000000
χ5222-2-222-222-220000-2-22-222-20000-220000000000-22-22-2-222000000000000002-20000000
χ5344444-2-4-4-4-4-20000-2-2-22222004-40000-2-22200000000000000000000000000000000000
χ5444444-2-4-4-4-4-20000-2-2-2222200-44000022-2-200000000000000000000000000000000000
χ55444-4-44-44-4440000-44-4-4-44400000000000000000000000000000000000000000000000
χ56444-4-4-2-44-44-200002-2222-2-200000000−2i32i32i3−2i300000000000000000000000000000000000
χ57444-4-4-2-44-44-200002-2222-2-2000000002i3−2i3−2i32i300000000000000000000000000000000000
χ5844-44-44-4-444400004-4-4-44-4400000000000000000000000000000000000000000000000
χ5944-44-4-244-4-4-24i−4i4i−4i-222-22-22000000000000−2i2i−2i2i0000000000000000000000000000000
χ6044-44-4-244-4-4-2−4i4i−4i4i-222-22-220000000000002i−2i2i−2i0000000000000000000000000000000
χ6144-44-4-2-4-444-20000-2222-22-2000000000000000023−23−2323000000000000000000000000000
χ6244-44-4-2-4-444-20000-2222-22-20000000000000000−232323−23000000000000000000000000000
χ6344-4-44-24-4-44-24-4-4422-2-222-2000000000000-222-20000000000000000000000000000000
χ6444-4-44-24-4-44-2-444-422-2-222-20000000000002-2-220000000000000000000000000000000
χ6544-4-44-2-444-4-2000022-22-2-2200004-40000000000-22-22000000000000000000000000000
χ6644-4-44-2-444-4-2000022-22-2-220000-4400000000002-22-2000000000000000000000000000
χ678-800080000-8000000000000000000000000000000000004-4000000000000000000000
χ688-800080000-800000000000000000000000000000000000-44000000000000000000000
χ6916-16000-8000080000000000000000000000000000000000000000000000000000000000

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