Finite Group Databasebeta

← Group #80592

Character table — Group #80592

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size111122222222444444488888888888888121212121212121212121616242424
order12223444466644412121212244881212121212242424244444448888612224
χ1111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1
χ31111111111111111111-11-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11-11
χ41111111111111111111-11-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-11-1
χ51111111111111-1-111111-11-1-11-1-1-1-1-1-1-1-1111111-1-1-1-111-11-1
χ61111111111111-1-111111-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11
χ71111111111111-1-11111-1-1-1111-1-1-1-111111111-1-11111-1-1-1-1-1
χ81111111111111-1-11111-1-1-1111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111
χ911111-1-111111-111-1-1111-1-11-1-111-1-111-1-11-11-11111-1-11-11-1-1
χ1011111-1-111111-111-1-1111-1-11-1-111-1-111-1-1-11-11-1-1-1-1111-1-111
χ1111111-1-111111-111-1-111-1-11-11-111-1-1-1-1111-11-1-1-1-1-111-1111-1
χ1211111-1-111111-111-1-111-1-11-11-111-1-1-1-111-11-111111-1-1-11-1-11
χ1311111-1-111111-1-1-1-1-11111-1-11-1-1-111-1-1111-11-111-1-1111-1-1-11
χ1411111-1-111111-1-1-1-1-11111-1-11-1-1-111-1-111-11-11-1-111-1-11-111-1
χ1511111-1-111111-1-1-1-1-111-1111-1-1-1-11111-1-11-11-1-1-111-1-1-11-111
χ1611111-1-111111-1-1-1-1-111-1111-1-1-1-11111-1-1-11-1111-1-111-111-1-1
χ172222222-2-2222-20022-2-200000-2000000002-2-2200000000000
χ182222222-2-2222-20022-2-200000-200000000-222-200000000000
χ1922222-2-2-2-2222200-2-2-2-20000020000000022-2-200000000000
χ2022222-2-2-2-2222200-2-2-2-200000200000000-2-22200000000000
χ212222-12222-1-1-1222-1-1-1-122222-1-1-1-1-1-1-1-1-10000000000-1-1000
χ222222-12222-1-1-1222-1-1-1-1-22-2-2-2-1-1-1-1-11111000000000011000
χ232222-12222-1-1-12-2-2-1-1-1-12-22-2-2-1111111110000000000-1-1000
χ242222-12222-1-1-12-2-2-1-1-1-1-2-2-222-11111-1-1-1-1000000000011000
χ252222-1-2-222-1-1-1-22211-1-12-2-22-21-1-111-1-1110000000000-11000
χ262222-1-2-222-1-1-1-22211-1-1-2-22-221-1-11111-1-100000000001-1000
χ272222-1-2-222-1-1-1-2-2-211-1-122-2-22111-1-111-1-10000000000-11000
χ282222-1-2-222-1-1-1-2-2-211-1-1-2222-2111-1-1-1-11100000000001-1000
χ292-22-22002-2-2-2202i−2i002-20000002i−2i00000000002i−2i2-20000000
χ302-22-22002-2-2-2202i−2i002-20000002i−2i0000000000−2i2i-220000000
χ312-22-22002-2-2-220−2i2i002-2000000−2i2i00000000002i−2i-220000000
χ322-22-22002-2-2-220−2i2i002-2000000−2i2i0000000000−2i2i2-20000000
χ334444-244-4-4-2-2-2-400-2-22200000200000000000000000000000
χ344444-2-4-4-4-4-2-2-2400222200000-200000000000000000000000
χ3544-4-444i−4i00-44-40004i−4i0000000000000000000000000000000
χ3644-4-44−4i4i00-44-4000−4i4i0000000000000000000000000000000
χ3744-4-4-24i−4i002-22000−2i2i000000000000i6−i66−6000000000000000
χ3844-4-4-24i−4i002-22000−2i2i000000000000−i6i6−66000000000000000
χ3944-4-4-2−4i4i002-220002i−2i000000000000i6−i6−66000000000000000
χ4044-4-4-2−4i4i002-220002i−2i000000000000−i6i66−6000000000000000
χ414-44-4400-44-4-4400000-4400000000000000000000000000000
χ424-44-4-2004-422-204i−4i00-22000000−2i2i000000000000000000000
χ434-44-4-2004-422-20−4i4i00-220000002i−2i000000000000000000000
χ444-44-4-200-4422-2000002-200000000−2i32i30000000000000000000
χ454-44-4-200-4422-2000002-2000000002i3−2i30000000000000000000
χ464-4-44400004-4-400000000000000000000000000000−2i22i200000
χ474-4-44400004-4-4000000000000000000000000000002i2−2i200000
χ488-8-88-40000-444000000000000000000000000000000000000

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