Finite Group Databasebeta

← Group #81549

Character table — Group #81549

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1111222222444444444466888888888888812121212121212161624242424
order12223446662444881212121244444681212121224242424222448812122448
χ1111111111111111111111111111111111111111111111111
χ211111111111111111111-1-11111111111111-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111-1-11111111-1-11-11111-1-1-1-11-1-111-1-1-1-1-111-1
χ411111111111111-1-11111-1-11-1-11-11111-1-1-1-1-111-1-111-1-11-1-11
χ511111111111-1-1111111111-1-1-111-1-1-1-111111-1-11111-1-1-1-1-11
χ611111111111-1-11111111-1-1-1-1-111-1-1-1-11111-111-1-1-1-1-1-1111-1
χ711111111111-1-11-1-1111111-1111-1-1-1-1-1-1-1-1-111111-1-1111-1-1-1
χ811111111111-1-11-1-11111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111
χ91111111111-111-111-1-11111-11-1-1-111-1-111-1-1-1111-1111-1-1-11-1
χ101111111111-111-111-1-111-1-1-11-1-1-111-1-111-1-11-1-1-11-1-11-111-11
χ111111111111-111-1-1-1-1-11111-1-11-1111-1-1-1-111-1-1-11-1-1-1-111-111
χ121111111111-111-1-1-1-1-111-1-1-1-11-1111-1-1-1-111111-1111-11-11-1-1
χ131111111111-1-1-1-111-1-111111-11-1-1-1-11111-1-1-1-1-11-111-1111-1-1
χ141111111111-1-1-1-111-1-111-1-11-11-1-1-1-11111-1-1111-11-1-1-11-1-111
χ151111111111-1-1-1-1-1-1-1-1111111-1-11-1-111-1-111-1111-1-1-11-1-11-11
χ161111111111-1-1-1-1-1-1-1-111-1-111-1-11-1-111-1-1111-1-1-11111-11-11-1
χ1722222-2-2222200-200-2-2-2-2220002000000000-200-2200000000
χ1822222-2-2222200-200-2-2-2-2-2-200020000000002002-200000000
χ1922222-2-2222-20020022-2-222000-2000000000200-2-200000000
χ2022222-2-2222-20020022-2-2-2-2000-2000000000-2002200000000
χ212222-122-1-1-1222222-1-1-1-100222-12-1-1-1-1-1-1-1-10000000-1-10000
χ222222-122-1-1-12222-2-2-1-1-1-1002-2-2-1-2-1-1-1-111110000000110000
χ232222-122-1-1-12-2-2222-1-1-1-100-2-2-2-121111-1-1-1-10000000110000
χ242222-122-1-1-12-2-22-2-2-1-1-1-100-222-1-2111111110000000-1-10000
χ252222-122-1-1-1-222-22211-1-100-22-21-2-1-111-1-1110000000-110000
χ262222-122-1-1-1-222-2-2-211-1-100-2-2212-1-11111-1-100000001-10000
χ272222-122-1-1-1-2-2-2-22211-1-1002-221-211-1-1-1-11100000001-10000
χ282222-122-1-1-1-2-2-2-2-2-211-1-10022-21211-1-111-1-10000000-110000
χ292-2-2222-2-22-202i−2i000002-200000002i−2i00000002-2002i−2i000000
χ302-2-2222-2-22-202i−2i000002-200000002i−2i0000000-2200−2i2i000000
χ312-2-2222-2-22-20−2i2i000002-20000000−2i2i00000002-200−2i2i000000
χ322-2-2222-2-22-20−2i2i000002-20000000−2i2i0000000-22002i−2i000000
χ334444-2-4-4-2-2-2400-400222200000-20000000000000000000000
χ344444-2-4-4-2-2-2-400400-2-2220000020000000000000000000000
χ3544-4-4400-4-440000−2i22i2000000000000000−2i22i2000000000000000
χ3644-4-4400-4-4400002i2−2i20000000000000002i2−2i2000000000000000
χ3744-4-4-20022-20000−2i22i223−230000000000000i2−i2i6−i60000000000000
χ3844-4-4-20022-20000−2i22i2−23230000000000000i2−i2−i6i60000000000000
χ3944-4-4-20022-200002i2−2i223−230000000000000−i2i2−i6i60000000000000
χ4044-4-4-20022-200002i2−2i2−23230000000000000−i2i2i6−i60000000000000
χ414-44-44004-4-400000000004i−4i00000000000000000000000000
χ424-44-44004-4-40000000000−4i4i00000000000000000000000000
χ434-4-444-44-44-400000000-440000000000000000000000000000
χ444-4-44-24-42-2204i−4i00000-220000000−2i2i0000000000000000000
χ454-4-44-24-42-220−4i4i00000-2200000002i−2i0000000000000000000
χ464-4-44-2-442-22000000002-200000000023−2300000000000000000
χ474-4-44-2-442-22000000002-2000000000−232300000000000000000
χ488-88-8-400-44400000000000000000000000000000000000000

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