Finite Group Databasebeta

← Group #80397

Character table — Group #80397

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1111222222444444444466888888888888812121212121212161624242424
order1222344666444488121212122222481212121212242424242224488664448
χ1111111111111111111111111111111111111111111111111
χ211111111111111111111-1-11111111111111-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111-1-1111111-1-11-111111-1-1-1-11-1-111-1-1-1-111-1-1
χ411111111111111-1-11111-1-1-1-11-111111-1-1-1-1-111-1-111-1-1-1-111
χ5111111111111-1-111111111-1-1-111-1-1-1-111111-1-11111-1-1-1-1-11
χ6111111111111-1-1111111-1-1-1-1-111-1-1-1-11111-111-1-1-1-1-1-1111-1
χ7111111111111-1-1-1-111111111-1-11-1-1-1-1-1-1-1-111111-1-111-1-11-1
χ8111111111111-1-1-1-11111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11
χ91111111111-1-11111-1-111111-1-1-1-111-1-111-1-1-1111-1111-1-11-1-1
χ101111111111-1-11111-1-111-1-11-1-1-1-111-1-111-1-11-1-1-11-1-11-11-111
χ111111111111-1-111-1-1-1-11111-11-11-111-1-1-1-111-1-1-11-1-1-1-11-1111
χ121111111111-1-111-1-1-1-111-1-1-11-11-111-1-1-1-111111-1111-111-1-1-1
χ131111111111-1-1-1-111-1-11111-111-1-1-1-11111-1-1-1-1-11-111-111-11-1
χ141111111111-1-1-1-111-1-111-1-1-111-1-1-1-11111-1-1111-11-1-1-11-11-11
χ151111111111-1-1-1-1-1-1-1-111111-111-1-1-111-1-111-1111-1-1-11-11-1-11
χ161111111111-1-1-1-1-1-1-1-111-1-11-111-1-1-111-1-1111-1-1-11111-1-111-1
χ1722222-2-22222-2000022-2-2220000-200000000-200-2200000000
χ1822222-2-22222-2000022-2-2-2-20000-2000000002002-200000000
χ1922222-2-2222-220000-2-2-2-2220000200000000200-2-200000000
χ2022222-2-2222-220000-2-2-2-2-2-20000200000000-2002200000000
χ212222-122-1-1-1222222-1-1-1-1002222-1-1-1-1-1-1-1-1-10000000-1-10000
χ222222-122-1-1-12222-2-2-1-1-1-100-2-22-2-1-1-1-1-111110000000110000
χ232222-122-1-1-122-2-222-1-1-1-100-2-2-22-11111-1-1-1-10000000110000
χ242222-122-1-1-122-2-2-2-2-1-1-1-10022-2-2-1111111110000000-1-10000
χ252222-122-1-1-1-2-2222211-1-1002-2-2-21-1-111-1-1110000000-110000
χ262222-122-1-1-1-2-222-2-211-1-100-22-221-1-11111-1-100000001-10000
χ272222-122-1-1-1-2-2-2-22211-1-100-222-2111-1-1-1-11100000001-10000
χ282222-122-1-1-1-2-2-2-2-2-211-1-1002-222111-1-111-1-10000000-110000
χ292-22-222-2-22-2002i−2i00002-200000002i−2i00000002-2002i−2i000000
χ302-22-222-2-22-2002i−2i00002-200000002i−2i0000000-2200−2i2i000000
χ312-22-222-2-22-200−2i2i00002-20000000−2i2i00000002-200−2i2i000000
χ322-22-222-2-22-200−2i2i00002-20000000−2i2i0000000-22002i−2i000000
χ334444-2-4-4-2-2-24-40000-2-2220000002000000000000000000000
χ344444-2-4-4-2-2-2-4400002222000000-2000000000000000000000
χ3544-4-44004-4-40000−2i22i2000000000000000−2i22i2000000000000000
χ3644-4-44004-4-400002i2−2i20000000000000002i2−2i2000000000000000
χ3744-4-4-200-2220000−2i22i2−2i32i30000000000000i2−i26−60000000000000
χ3844-4-4-200-2220000−2i22i22i3−2i30000000000000i2−i2−660000000000000
χ3944-4-4-200-22200002i2−2i2−2i32i30000000000000−i2i2−660000000000000
χ4044-4-4-200-22200002i2−2i22i3−2i30000000000000−i2i26−60000000000000
χ414-44-44-44-44-400000000-440000000000000000000000000000
χ424-44-4-24-42-22004i−4i0000-220000000−2i2i0000000000000000000
χ434-44-4-24-42-2200−4i4i0000-2200000002i−2i0000000000000000000
χ444-44-4-2-442-22000000002-2000000000−2i32i300000000000000000
χ454-44-4-2-442-22000000002-20000000002i3−2i300000000000000000
χ464-4-44400-4-4400000000004-400000000000000000000000000
χ474-4-44400-4-440000000000-4400000000000000000000000000
χ488-8-88-40044-400000000000000000000000000000000000000

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