Finite Group Databasebeta

← Group #80571

Character table — Group #80571

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size11112222222244444444466666688888888888881212121212161624242424
order12223444466644444121212122244442488121212121224242424444446124488
χ1111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-111-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-11-1-1111111111111-1-11-1-1-1-1-1-1-1-11-1-1-1-11111-1-1
χ6111111111111-1-11-1-11111111111-1-1111-1-1-1-111111-1-1-1-1-1-1-1-111
χ7111111111111-1-11-1-11111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1111111-1-111
χ8111111111111-1-11-1-11111-1-1-1-1-1-1-1-1111-1-1-1-11111-11111-1-111-1-1
χ911111-1-11111111-1-1-1-1-11111-1-1-1-11-11-1-1-1-11111-1-1111-1-11-11-11-1
χ1011111-1-11111111-1-1-1-1-11111-1-1-1-1-11-11-1-1-111-1-111111-1-1-11-11-11
χ1111111-1-11111111-1-1-1-1-111-1-111111-11-1-1-1-11111-1-1-1-1-1111-1-11-11
χ1211111-1-11111111-1-1-1-1-111-1-11111-11-11-1-1-111-1-111-1-1-111-111-11-1
χ1311111-1-111111-1-1-111-1-11111-1-1-1-11-1-11-111-1-1-1-1111-1-1111-11-1-11
χ1411111-1-111111-1-1-111-1-11111-1-1-1-1-111-1-111-1-111-1-11-1-111-11-111-1
χ1511111-1-111111-1-1-111-1-111-1-111111-1-11-111-1-1-1-111-111-1-11-1-111-1
χ1611111-1-111111-1-1-111-1-111-1-11111-111-1-111-1-111-1-1-111-1-1-111-1-11
χ172222222-2-222200-20022-2-22222-2-20000-200000000-20000000000
χ182222222-2-222200-20022-2-2-2-2-2-2220000-20000000020000000000
χ1922222-2-2-2-222200200-2-2-2-222-2-2220000200000000-20000000000
χ2022222-2-2-2-222200200-2-2-2-2-2-222-2-2000020000000020000000000
χ212222-12222-1-1-122222-1-1-1-10000002222-1-1-1-1-1-1-1-1-100000-1-10000
χ222222-12222-1-1-122222-1-1-1-1000000-2-2-2-2-1-1-1-1-1111100000110000
χ232222-12222-1-1-1-2-22-2-2-1-1-1-100000022-2-2-11111111100000-1-10000
χ242222-12222-1-1-1-2-22-2-2-1-1-1-1000000-2-222-11111-1-1-1-100000110000
χ252222-1-2-222-1-1-122-2-2-211-1-10000002-22-2111-1-1-1-11100000-110000
χ262222-1-2-222-1-1-122-2-2-211-1-1000000-22-22111-1-111-1-1000001-10000
χ272222-1-2-222-1-1-1-2-2-22211-1-10000002-2-221-1-11111-1-100000-110000
χ282222-1-2-222-1-1-1-2-2-22211-1-1000000-222-21-1-111-1-111000001-10000
χ292-22-22002-2-2-222-200000-22002i−2i2i−2i00000002-200000002i−2i000000
χ302-22-22002-2-2-222-200000-2200−2i2i−2i2i00000002-20000000−2i2i000000
χ312-22-22002-2-2-22-2200000-22002i−2i2i−2i0000000-220000000−2i2i000000
χ322-22-22002-2-2-22-2200000-2200−2i2i−2i2i0000000-2200000002i−2i000000
χ332-22-2200-22-2-220002i−2i002-2002i−2i−2i2i000002i−2i00000002-200000000
χ342-22-2200-22-2-220002i−2i002-200−2i2i2i−2i000002i−2i0000000-2200000000
χ352-22-2200-22-2-22000−2i2i002-2002i−2i−2i2i00000−2i2i0000000-2200000000
χ362-22-2200-22-2-22000−2i2i002-200−2i2i2i−2i00000−2i2i00000002-200000000
χ374444-244-4-4-2-2-200-400-2-222000000000020000000000000000000
χ384444-2-4-4-4-4-2-2-20040022220000000000-20000000000000000000
χ3944-4-4400004-4-40000000004-40000000000000000000000000000
χ4044-4-4400004-4-4000000000-440000000000000000000000000000
χ414-44-4-2004-422-24-4000002-20000000000000-22000000000000000
χ424-44-4-2004-422-2-44000002-200000000000002-2000000000000000
χ434-44-4-200-4422-20004i−4i00-2200000000000−2i2i00000000000000000
χ444-44-4-200-4422-2000−4i4i00-22000000000002i−2i00000000000000000
χ454-4-4444i−4i00-44-4000004i−4i00000000000000000000000000000000
χ464-4-444−4i4i00-44-400000−4i4i00000000000000000000000000000000
χ474-4-44-24i−4i002-2200000−2i2i000000000000000006−6i6−i600000000000
χ484-4-44-24i−4i002-2200000−2i2i00000000000000000−66−i6i600000000000
χ494-4-44-2−4i4i002-22000002i−2i000000000000000006−6−i6i600000000000
χ504-4-44-2−4i4i002-22000002i−2i00000000000000000−66i6−i600000000000
χ5188-8-8-40000-444000000000000000000000000000000000000000

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