Finite Group Databasebeta

← Group #74702

Character table — Group #74702

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111111122222222222222224444444444444488888888888812121212121212121212121212121212
order12222222222234444666666644666612121212121212122444661212121212122244444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ51111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11-1-111111-1-1-1-111-1-111-1-1-1-1-1-11111
χ61111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-111-1-1111111-1-1-1-1
χ71111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1
χ81111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-1-1-1-1-1111111
χ911111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-11111-1-1
χ1011111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-11111-1-111-1-1-1-111
χ1111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-11111-1-111
χ1211111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1-111-1-1
χ1311111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111111-11-111-1-1-1-1111111-1-1-1-111-1-111-1-1
χ1411111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111111-11-111-1-1-1-111-1-1-1-11111-1-111-1-111
χ1511111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-11-11-1-11111-1-11111-1-111-1-1-1-1-1-111
χ1611111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-11-11-1-11111-1-1-1-1-1-111-1-1111111-1-1
χ17222222222222-12222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ18222222222222-12222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ19222222222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-1-1-1-1111111112-2-22-1-1-1-111110000000000000000
χ20222222222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-1-1-1-111111111-222-21111-1-1-1-10000000000000000
χ2122222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-21111-1-1-1-1111122-2-2-1-111-1-1110000000000000000
χ2222222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-21111-1-1-1-11111-2-22211-1-111-1-10000000000000000
χ2322222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-12211111111-1-1-1-12-22-2-1-11111-1-10000000000000000
χ2422222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-12211111111-1-1-1-1-22-2211-1-1-1-1110000000000000000
χ2522-2-2-222-222-2-222i2i−2i−2i22-22-2-2-22i−2i22-2-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000
χ2622-2-2-222-222-2-22−2i−2i2i2i22-22-2-2-2−2i2i22-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000
χ2722-2-2-222-222-2-2-12i2i−2i−2i-1-11-11112i−2i-1-111−i−iii−i−iii0000−i3i3−i3i33−33−30000000000000000
χ2822-2-2-222-222-2-2-12i2i−2i−2i-1-11-11112i−2i-1-111−i−iii−i−iii0000i3−i3i3−i3−33−330000000000000000
χ2922-2-2-222-222-2-2-1−2i−2i2i2i-1-11-1111−2i2i-1-111ii−i−iii−i−i0000−i3i3−i3i3−33−330000000000000000
χ3022-2-2-222-222-2-2-1−2i−2i2i2i-1-11-1111−2i2i-1-111ii−i−iii−i−i0000i3−i3i3−i33−33−30000000000000000
χ3122-2-2-222-2-2-22222i2i−2i−2i22-22-2-2-2−2i2i-2-2222i2i−2i−2i−2i−2i2i2i0000000000000000000000000000
χ3222-2-2-222-2-2-2222−2i−2i2i2i22-22-2-2-22i−2i-2-222−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000
χ3322-2-2-222-2-2-222-12i2i−2i−2i-1-11-1111−2i2i11-1-1−i−iiiii−i−i0000−i3i3i3−i33−3−330000000000000000
χ3422-2-2-222-2-2-222-12i2i−2i−2i-1-11-1111−2i2i11-1-1−i−iiiii−i−i0000i3−i3−i3i3−333−30000000000000000
χ3522-2-2-222-2-2-222-1−2i−2i2i2i-1-11-11112i−2i11-1-1ii−i−i−i−iii0000−i3i3i3−i3−333−30000000000000000
χ3622-2-2-222-2-2-222-1−2i−2i2i2i-1-11-11112i−2i11-1-1ii−i−i−i−iii0000i3−i3−i3i33−3−330000000000000000
χ372-222-22-2-22-22-220000-2-2-2222-2002-22-200000000000000000000002i−2i0000002i−2i0000
χ382-222-22-2-22-22-220000-2-2-2222-2002-22-20000000000000000000000−2i2i000000−2i2i0000
χ392-222-22-2-2-22-2220000-2-2-2222-200-22-2200000000000000000000002i−2i000000−2i2i0000
χ402-222-22-2-2-22-2220000-2-2-2222-200-22-220000000000000000000000−2i2i0000002i−2i0000
χ412-22-22-22-2000022i−2i2i−2i2-22-22-2-20000002i−2i2i−2i0000000000000000000000002-200002i−2i
χ422-22-22-22-2000022i−2i2i−2i2-22-22-2-20000002i−2i2i−2i000000000000000000000000-220000−2i2i
χ432-22-22-22-200002−2i2i−2i2i2-22-22-2-2000000−2i2i−2i2i0000000000000000000000002-20000−2i2i
χ442-22-22-22-200002−2i2i−2i2i2-22-22-2-2000000−2i2i−2i2i000000000000000000000000-2200002i−2i
χ452-2-22-2-222000022-2-222-2-2-2-2220000002-2-2200000000000000000000002-200002-200
χ462-2-22-2-222000022-2-222-2-2-2-2220000002-2-220000000000000000000000-220000-2200
χ472-2-22-2-22200002-222-22-2-2-2-222000000-222-200000000000000000000002-20000-2200
χ482-2-22-2-22200002-222-22-2-2-2-222000000-222-20000000000000000000000-2200002-200
χ492-2-2-222-222-2-2220000-2-222-2-22002-2-22000000000000000000002-2002-20000000000
χ502-2-2-222-222-2-2220000-2-222-2-22002-2-2200000000000000000000-2200-220000000000
χ512-2-2-222-22-222-220000-2-222-2-2200-222-2000000000000000000002-200-220000000000
χ522-2-2-222-22-222-220000-2-222-2-2200-222-200000000000000000000-22002-20000000000
χ53444-4-4-4-44000040000-44-4-44-44000000000000000000000000000000000000000000
χ54444-4-4-4-440000-200002-222-22-20000000000−2i32i3−2i32i30000000000000000000000000000
χ55444-4-4-4-440000-200002-222-22-200000000002i3−2i32i3−2i30000000000000000000000000000
χ5644-444-4-4-4000040000-444-4-44-4000000000000000000000000000000000000000000
χ5744-444-4-4-40000-200002-2-222-22000000000023−23−23230000000000000000000000000000
χ5844-444-4-4-40000-200002-2-222-220000000000−232323−230000000000000000000000000000
χ594-444-44-4-44-44-4-20000222-2-2-2200-22-22000000000000000000000000000000000000
χ604-444-44-4-4-44-44-20000222-2-2-22002-22-2000000000000000000000000000000000000
χ614-44-44-44-40000-24i−4i4i−4i-22-22-222000000−2i2i−2i2i00000000000000000000000000000000
χ624-44-44-44-40000-2−4i4i−4i4i-22-22-2220000002i−2i2i−2i00000000000000000000000000000000
χ634-4-44-4-4440000-24-4-44-22222-2-2000000-222-200000000000000000000000000000000
χ644-4-44-4-4440000-2-444-4-22222-2-20000002-2-2200000000000000000000000000000000
χ654-4-4-444-444-4-44-2000022-2-222-200-222-2000000000000000000000000000000000000
χ664-4-4-444-44-444-4-2000022-2-222-2002-2-22000000000000000000000000000000000000

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