Finite Group Databasebeta

← Group #80680

Character table — Group #80680

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size1111222222222222444444444444444446666888812121212121212121212161616162424
order122222344666888846688121212122424242424242424224424442244448888612121224
χ1111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111
χ5111111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-11-1
χ6111111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-111-11
χ7111111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-11
χ8111111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-1
χ91111-1-11111111111-1-1-1-1-11-1-111111-1-1-1-111-1-11-1-11111-111-1-1111-11-1-1-1
χ101111-1-11111111111-1-1-1-1-11-1-111111-1-1-1-111-1-1-111-1-1-11-1-1-1-1-111-11-1111
χ111111-1-11111111111-1-1-1-1-11-1-111111-1-1-1-1-1-1111-1-11-1-1-11-1-111-1-11-11-111
χ121111-1-11111111111-1-1-1-1-11-1-111111-1-1-1-1-1-111-111-111-111111-1-1-11-11-1-1
χ131111-1-1111111-1-1-1-1-1-1-1111-1-11-1-1-1-1111111-1-11-11-1111-1-1-111-1-11-1-11-11
χ141111-1-1111111-1-1-1-1-1-1-1111-1-11-1-1-1-1111111-1-1-11-11-1-11-11111-1-1-111-11-1
χ151111-1-1111111-1-1-1-1-1-1-1111-1-11-1-1-1-11111-1-1111-11-1-1-1-1111-1-1111-1-111-1
χ161111-1-1111111-1-1-1-1-1-1-1111-1-11-1-1-1-11111-1-111-11-1111-11-1-1-1-111-111-1-11
χ172222222-2-22220000-22200-2-2-2-2000000002222000000-2-2000000000000
χ182222222-2-22220000-22200-2-2-2-200000000-2-2-2-200000022000000000000
χ19222222-122-1-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1000022220000000000-1-1-1-100
χ20222222-122-1-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000000111100
χ21222222-122-1-1-1-2-2-2-22-1-1-2-2-1-1-1-111111111000022-2-20000000000-1-11100
χ22222222-122-1-1-1-2-2-2-22-1-1-2-2-1-1-1-1111111110000-2-222000000000011-1-100
χ232222-2-22-2-222200002-2-200-222-20000000022-2-2000000-22000000000000
χ242222-2-22-2-222200002-2-200-222-200000000-2-2220000002-2000000000000
χ252222-2-2-122-1-1-12222-211-2-2-111-1-1-1-1-1111100002-2-220000000000-11-1100
χ262222-2-2-122-1-1-12222-211-2-2-111-1-1-1-1-111110000-222-200000000001-11-100
χ272222-2-2-122-1-1-1-2-2-2-2-21122-111-11111-1-1-1-100002-22-20000000000-111-100
χ282222-2-2-122-1-1-1-2-2-2-2-21122-111-11111-1-1-1-10000-22-2200000000001-1-1100
χ2922-2-22-22002-2-2−i2−i2i2i202-2−i2i20000−i2−i2i2i2−i2−i2i2i22-22-20000000000−i2i2−i2i2000000
χ3022-2-22-22002-2-2−i2−i2i2i202-2−i2i20000−i2−i2i2i2−i2−i2i2i2-22-220000000000i2−i2i2−i2000000
χ3122-2-22-22002-2-2i2i2−i2−i202-2i2−i20000i2i2−i2−i2i2i2−i2−i22-22-20000000000i2−i2i2−i2000000
χ3222-2-22-22002-2-2i2i2−i2−i202-2i2−i20000i2i2−i2−i2i2i2−i2−i2-22-220000000000−i2i2−i2i2000000
χ3322-2-2-222002-2-2−i2−i2i2i20-22i2−i20000−i2−i2i2i2i2i2−i2−i22-2-220000000000i2−i2−i2i2000000
χ3422-2-2-222002-2-2−i2−i2i2i20-22i2−i20000−i2−i2i2i2i2i2−i2−i2-222-20000000000−i2i2i2−i2000000
χ3522-2-2-222002-2-2i2i2−i2−i20-22−i2i20000i2i2−i2−i2−i2−i2i2i22-2-220000000000−i2i2i2−i2000000
χ3622-2-2-222002-2-2i2i2−i2−i20-22−i2i20000i2i2−i2−i2−i2−i2i2i2-222-20000000000i2−i2−i2i2000000
χ372-22-20022-2-2-222i−2i2i−2i00000200-22i−2i2i−2i0000000000002-2002i−2i0000000000
χ382-22-20022-2-2-222i−2i2i−2i00000200-22i−2i2i−2i000000000000-2200−2i2i0000000000
χ392-22-20022-2-2-22−2i2i−2i2i00000200-2−2i2i−2i2i0000000000002-200−2i2i0000000000
χ402-22-20022-2-2-22−2i2i−2i2i00000200-2−2i2i−2i2i000000000000-22002i−2i0000000000
χ41444444-2-4-4-2-2-20000-4-2-200222200000000000000000000000000000000
χ424444-4-4-2-4-4-2-2-20000422002-2-2200000000000000000000000000000000
χ4344-4-44-4-200-222−2i2−2i22i22i20-22−2i22i20000i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ4444-4-44-4-200-2222i22i2−2i2−2i20-222i2−2i20000−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ4544-4-4-44-200-222−2i2−2i22i22i202-22i2−2i20000i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ4644-4-4-44-200-2222i22i2−2i2−2i202-2−2i22i20000−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ474-44-4004-44-4-44000000000-400400000000000000000000000000000000
χ484-44-400-24-422-24i−4i4i−4i00000-2002−2i2i−2i2i0000000000000000000000000000
χ494-44-400-24-422-2−4i4i−4i4i00000-20022i−2i2i−2i0000000000000000000000000000
χ504-44-400-2-4422-2000000000200-20000−2i32i3−2i32i3000000000000000000000000
χ514-44-400-2-4422-2000000000200-200002i3−2i32i3−2i3000000000000000000000000
χ524-4-4400400-44-422−22−222200000000022−22−22220000000000000000000000000000
χ534-4-4400400-44-4−222222−22000000000−222222−220000000000000000000000000000
χ544-4-4400-2002-2222−22−222200000023−230−222−26−6−66000000000000000000000000
χ554-4-4400-2002-2222−22−2222000000−23230−222−2−666−6000000000000000000000000
χ564-4-4400-2002-22−222222−2200000023−2302−2−22−666−6000000000000000000000000
χ574-4-4400-2002-22−222222−22000000−232302−2−226−6−66000000000000000000000000

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