Finite Group Databasebeta

← Group #79995

Character table — Group #79995

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size11112222222244444444466666688888888888881212121212161624242424
order12222234466646688881212444444222466661224242424488886124444
χ1111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-111-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11111
χ5111111111111111-1-1-1-11111111111-1-111111-1-1-1-11-1-1-1-1-1-1-111-1
χ6111111111111111-1-1-1-111111111-1-111-1-1-1-11-1-1-1-11-1-1-1-1111-1-11
χ7111111111111111-1-1-1-111-1-1-1-1-1-111-1-111111-1-1-1-1-11111-1-11-1-11
χ8111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1111111-111-1
χ91111-1-1111111-1-1-111-1-1111111-1-11-11-111-1-1-111-1-1-111-1-11-1-11-11
χ101111-1-1111111-1-1-111-1-1111111-1-1-11-11-1-111-111-1-1-111-1-1-111-11-1
χ111111-1-1111111-1-1-111-1-111-1-1-1-1111-11-111-1-1-111-1-11-1-1111-11-11-1
χ121111-1-1111111-1-1-111-1-111-1-1-1-111-11-11-1-111-111-1-11-1-111-11-11-11
χ131111-1-1111111-1-1-1-1-111111111-1-11-1-1111-1-1-1-1-111-1-1-111-1111-1-1
χ141111-1-1111111-1-1-1-1-111111111-1-1-111-1-1-111-1-1-111-1-1-1111-1-1-111
χ151111-1-1111111-1-1-1-1-11111-1-1-1-1111-1-1111-1-1-1-1-111111-1-1-11-1-111
χ161111-1-1111111-1-1-1-1-11111-1-1-1-111-111-1-1-111-1-1-111111-1-11-111-1-1
χ172222222-2-2222-2220000-2-222-2-2-2-200000000-2000020000000000
χ182222222-2-2222-2220000-2-2-2-2222200000000-20000-20000000000
χ19222222-122-1-1-12-1-12222-1-10000002222-1-1-1-1-1-1-1-1-100000-1-10000
χ20222222-122-1-1-12-1-12222-1-1000000-2-2-2-21111-1-1-1-1-100000110000
χ21222222-122-1-1-12-1-1-2-2-2-2-1-100000022-2-2-1-1-1-1-1111100000110000
χ22222222-122-1-1-12-1-1-2-2-2-2-1-1000000-2-2221111-1111100000-1-10000
χ232222-2-22-2-22222-2-20000-2-222-2-2220000000020000-20000000000
χ242222-2-22-2-22222-2-20000-2-2-2-222-2-2000000002000020000000000
χ252222-2-2-122-1-1-1-21122-2-2-1-10000002-22-2-1-1111-1-11100000-110000
χ262222-2-2-122-1-1-1-21122-2-2-1-1000000-22-2211-1-11-1-111000001-10000
χ272222-2-2-122-1-1-1-211-2-222-1-10000002-2-22-1-111111-1-1000001-10000
χ282222-2-2-122-1-1-1-211-2-222-1-1000000-222-211-1-1111-1-100000-110000
χ2922-2-22-2200-22-202-22−22−200002i−2i2i−2i0000000002−22−20−i2i2−i2i2000000
χ3022-2-22-2200-22-202-22−22−20000−2i2i−2i2i0000000002−22−20i2−i2i2−i2000000
χ3122-2-22-2200-22-202-2−22−2200002i−2i2i−2i000000000−22−220i2−i2i2−i2000000
χ3222-2-22-2200-22-202-2−22−220000−2i2i−2i2i000000000−22−220−i2i2−i2i2000000
χ3322-2-2-22200-22-20-222−2−2200002i−2i−2i2i0000000002−2−220−i2i2i2−i2000000
χ3422-2-2-22200-22-20-222−2−220000−2i2i2i−2i0000000002−2−220i2−i2−i2i2000000
χ3522-2-2-22200-22-20-22−222−200002i−2i−2i2i000000000−222−20i2−i2−i2i2000000
χ3622-2-2-22200-22-20-22−222−20000−2i2i2i−2i000000000−222−20−i2i2i2−i2000000
χ37444444-2-4-4-2-2-2-4-2-2000022000000000000002000000000000000
χ384444-4-4-2-4-4-2-2-242200002200000000000000-2000000000000000
χ3944-4-44-4-2002-220-2222−2222−2200000000000000000−22−2200000000000
χ4044-4-44-4-2002-220-22−2222−2222000000000000000002−22−200000000000
χ4144-4-4-44-2002-2202-222−22−222200000000000000000−222−200000000000
χ4244-4-4-44-2002-2202-2−222222−22000000000000000002−2−2200000000000
χ434-44-4004004-4-40000000004i−4i0000000000000000000000000000
χ444-44-4004004-4-4000000000−4i4i0000000000000000000000000000
χ454-4-440044-4-4-4400000004-4000000000000000000000000000000
χ464-4-44004-44-4-440000000-44000000000000000000000000000000
χ474-4-4400-24-422-20000000-220000000000−2i32i3000000000000000000
χ484-4-4400-24-422-20000000-2200000000002i3−2i3000000000000000000
χ494-4-4400-2-4422-200000002-2000000000000−2i32i30000000000000000
χ504-4-4400-2-4422-200000002-20000000000002i3−2i30000000000000000
χ518-88-800-400-444000000000000000000000000000000000000000

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