Finite Group Databasebeta

← Group #79729

Character table — Group #79729

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111122222222222222222244444444444444888888888888121212121212121224242424
order122234444446668888121212128812121212242424242424242444441212121212121212244488882444
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-11-1
χ611111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-11-11
χ711111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-11-11
χ811111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-11-1
χ911111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-11-11-111-1-111-1-11-11-111-1-111-1-1
χ1011111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-11-11-111-1-111-1-1-11-11-1-111-1-111
χ1111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-11-1-111-1-1111-11-111-1-1-1-111
χ1211111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-11-1-111-1-111-11-11-1-11111-1-1
χ1311111-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111111-1-1111-1-1-1-1111-11-1-1-1111-1-11
χ1411111-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111111-1-1111-1-1-1-111-11-1111-1-1-111-1
χ1511111-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-111-1-1-11111-1-11-11-1-1-111-111-1
χ1611111-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-111-1-1-11111-1-1-11-1111-1-11-1-11
χ172222222-2-2-2-22220000222200-2-2-2-2000000000000000000002-2-2200000000
χ182222222-2-2-2-22220000222200-2-2-2-200000000000000000000-222-200000000
χ1922222-2-222-2-22220000-2-2-2-20022-2-20000000000000000000022-2-200000000
χ2022222-2-222-2-22220000-2-2-2-20022-2-200000000000000000000-2-22200000000
χ212222-1222222-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ222222-1222222-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ232222-1222222-1-1-1-2-2-2-2-1-1-1-1-2-2-1-1-1-11111111122-2-2-1-1-1-11111000000000000
χ242222-1222222-1-1-1-2-2-2-2-1-1-1-1-2-2-1-1-1-111111111-2-2221111-1-1-1-1000000000000
χ252222-1-2-2-2-222-1-1-122221111-2-211-1-1-1-1-1-111112-22-2-1-111-1-111000000000000
χ262222-1-2-2-2-222-1-1-122221111-2-211-1-1-1-1-1-11111-22-2211-1-111-1-1000000000000
χ272222-1-2-2-2-222-1-1-1-2-2-2-211112211-1-11111-1-1-1-12-2-22-1-11111-1-1000000000000
χ282222-1-2-2-2-222-1-1-1-2-2-2-211112211-1-11111-1-1-1-1-222-211-1-1-1-111000000000000
χ292-22-222i−2i2i−2i2-2-22-200002i2i−2i−2i002i−2i2-20000000000000000000000002-22i−2i0000
χ302-22-222i−2i2i−2i2-2-22-200002i2i−2i−2i002i−2i2-2000000000000000000000000-22−2i2i0000
χ312-22-222i−2i−2i2i-22-22-22i2i−2i−2i2i2i−2i−2i2-2−2i2i-222i2i−2i−2i22-2-2000000000000000000000000
χ322-22-222i−2i−2i2i-22-22-2−2i−2i2i2i2i2i−2i−2i-22−2i2i-22−2i−2i2i2i-2-222000000000000000000000000
χ332-22-22−2i2i2i−2i-22-22-22i2i−2i−2i−2i−2i2i2i-222i−2i-222i2i−2i−2i-2-222000000000000000000000000
χ342-22-22−2i2i2i−2i-22-22-2−2i−2i2i2i−2i−2i2i2i2-22i−2i-22−2i−2i2i2i22-2-2000000000000000000000000
χ352-22-22−2i2i−2i2i2-2-22-20000−2i−2i2i2i00−2i2i2-20000000000000000000000002-2−2i2i0000
χ362-22-22−2i2i−2i2i2-2-22-20000−2i−2i2i2i00−2i2i2-2000000000000000000000000-222i−2i0000
χ372-22-2-12i−2i−2i2i-221-112i2i−2i−2i−i−iii2-2i−i1-1−i−iii-1-11100003−3−i3i3−i3i33−3000000000000
χ382-22-2-12i−2i−2i2i-221-112i2i−2i−2i−i−iii2-2i−i1-1−i−iii-1-1110000−33i3−i3i3−i3−33000000000000
χ392-22-2-12i−2i−2i2i-221-11−2i−2i2i2i−i−iii-22i−i1-1ii−i−i11-1-100003−3−i3i3i3−i3−33000000000000
χ402-22-2-12i−2i−2i2i-221-11−2i−2i2i2i−i−iii-22i−i1-1ii−i−i11-1-10000−33i3−i3−i3i33−3000000000000
χ412-22-2-1−2i2i2i−2i-221-112i2i−2i−2iii−i−i-22−ii1-1−i−iii11-1-100003−3i3−i3−i3i3−33000000000000
χ422-22-2-1−2i2i2i−2i-221-112i2i−2i−2iii−i−i-22−ii1-1−i−iii11-1-10000−33−i3i3i3−i33−3000000000000
χ432-22-2-1−2i2i2i−2i-221-11−2i−2i2i2iii−i−i2-2−ii1-1ii−i−i-1-11100003−3i3−i3i3−i33−3000000000000
χ442-22-2-1−2i2i2i−2i-221-11−2i−2i2i2iii−i−i2-2−ii1-1ii−i−i-1-1110000−33−i3i3−i3i3−33000000000000
χ454444-244-4-4-4-4-2-2-20000-2-2-2-200222200000000000000000000000000000000
χ464444-2-4-444-4-4-2-2-20000222200-2-22200000000000000000000000000000000
χ4744-4-440000004-4-422−2222−22000000000022−2222−220000000000000000000000000000
χ4844-4-440000004-4-4−2222−22220000000000−2222−22220000000000000000000000000000
χ4944-4-4-2000000-22222−2222−22−2i32i3−2i32i3000000−22−22i6−i6i6−i6000000000000000000000000
χ5044-4-4-2000000-22222−2222−222i3−2i32i3−2i3000000−22−22−i6i6−i6i6000000000000000000000000
χ5144-4-4-2000000-222−2222−2222−2i32i3−2i32i30000002−22−2−i6i6−i6i6000000000000000000000000
χ5244-4-4-2000000-222−2222−22222i3−2i32i3−2i30000002−22−2i6−i6i6−i6000000000000000000000000
χ534-44-4-24i−4i4i−4i4-42-220000−2i−2i2i2i00−2i2i-2200000000000000000000000000000000
χ544-44-4-2−4i4i−4i4i4-42-2200002i2i−2i−2i002i−2i-2200000000000000000000000000000000
χ554-4-444000000-4-44−2i22i22i2−2i20000000000−2i22i22i2−2i20000000000000000000000000000
χ564-4-444000000-4-442i2−2i2−2i22i200000000002i2−2i2−2i22i20000000000000000000000000000
χ574-4-44-200000022-2−2i22i22i2−2i223−23−2323000000i2−i2−i2i2−i6i6i6−i6000000000000000000000000
χ584-4-44-200000022-2−2i22i22i2−2i2−232323−23000000i2−i2−i2i2i6−i6−i6i6000000000000000000000000
χ594-4-44-200000022-22i2−2i2−2i22i223−23−2323000000−i2i2i2−i2i6−i6−i6i6000000000000000000000000
χ604-4-44-200000022-22i2−2i2−2i22i2−232323−23000000−i2i2i2−i2−i6i6i6−i6000000000000000000000000

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