Finite Group Databasebeta

← Group #80677

Character table — Group #80677

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size1111222222222222444444444444444446666888812121212121212121212161616162424
order122222344666888846688121212122424242424242424444424442224448888612121224
χ1111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-11-1-11-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-111
χ5111111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1111111-1-11-1-1111-1-1-1-111-1-1-11
χ6111111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111-1
χ7111111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1111111-1-11-1
χ8111111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-11
χ91111-1-11111111111-1-1-1-1-11-1-111111-1-1-1-111-1-11-1-11-1-1-11-1-111-1-11-1-1111
χ101111-1-11111111111-1-1-1-1-11-1-111111-1-1-1-111-1-1-111-1-11111111-1-1-111-1-1-1
χ111111-1-11111111111-1-1-1-1-11-1-111111-1-1-1-1-1-1111-1-11111-111-1-1111-1-11-1-1
χ121111-1-11111111111-1-1-1-1-11-1-111111-1-1-1-1-1-111-111-11-1-1-1-1-1-1-111-111-111
χ131111-1-1111111-1-1-1-1-1-1-1111-1-11-1-1-1-1111111-1-11-11-1-1111-1-1-1-1111-11-1-11
χ141111-1-1111111-1-1-1-1-1-1-1111-1-11-1-1-1-1111111-1-1-11-11-1-1-1111-1-111-11-111-1
χ151111-1-1111111-1-1-1-1-1-1-1111-1-11-1-1-1-11111-1-1111-11-11-1-1-11111-1-11-11-11-1
χ161111-1-1111111-1-1-1-1-1-1-1111-1-11-1-1-1-11111-1-111-11-11111-1-1-111-1-1-11-11-11
χ172222222-2-22220000-22200-2-2-2-20000000022220000-200-2000000000000
χ182222222-2-22220000-22200-2-2-2-200000000-2-2-2-200002002000000000000
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
χ232222-2-22-2-222200002-2-200-222-20000000022-2-20000200-2000000000000
χ242222-2-22-2-222200002-2-200-222-200000000-2-2220000-2002000000000000
χ252222-2-2-122-1-1-12222-211-2-2-111-1-1-1-1-1111100002-2-220000000000-111-100
χ262222-2-2-122-1-1-12222-211-2-2-111-1-1-1-1-111110000-222-200000000001-1-1100
χ272222-2-2-122-1-1-1-2-2-2-2-21122-111-11111-1-1-1-100002-22-20000000000-11-1100
χ282222-2-2-122-1-1-1-2-2-2-2-21122-111-11111-1-1-1-10000-22-2200000000001-11-100
χ2922-2-22-22002-2-2−i2−i2i2i202-2−i2i20000−i2−i2i2i2−i2−i2i2i22i−2i2i−2i00000000002−22−2000000
χ3022-2-22-22002-2-2−i2−i2i2i202-2−i2i20000−i2−i2i2i2−i2−i2i2i2−2i2i−2i2i0000000000−22−22000000
χ3122-2-22-22002-2-2i2i2−i2−i202-2i2−i20000i2i2−i2−i2i2i2−i2−i22i−2i2i−2i0000000000−22−22000000
χ3222-2-22-22002-2-2i2i2−i2−i202-2i2−i20000i2i2−i2−i2i2i2−i2−i2−2i2i−2i2i00000000002−22−2000000
χ3322-2-2-222002-2-2−i2−i2i2i20-22i2−i20000−i2−i2i2i2i2i2−i2−i22i−2i−2i2i00000000002−2−22000000
χ3422-2-2-222002-2-2−i2−i2i2i20-22i2−i20000−i2−i2i2i2i2i2−i2−i2−2i2i2i−2i0000000000−222−2000000
χ3522-2-2-222002-2-2i2i2−i2−i20-22−i2i20000i2i2−i2−i2−i2−i2i2i22i−2i−2i2i0000000000−222−2000000
χ3622-2-2-222002-2-2i2i2−i2−i20-22−i2i20000i2i2−i2−i2−i2−i2i2i2−2i2i2i−2i00000000002−2−22000000
χ372-2-22002-22-2-222-22-200000-20022-22-200000000000002-202-20000000000
χ382-2-22002-22-2-222-22-200000-20022-22-20000000000000-220-220000000000
χ392-2-22002-22-2-22-22-2200000-2002-22-2200000000000002-20-220000000000
χ402-2-22002-22-2-22-22-2200000-2002-22-220000000000000-2202-20000000000
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
χ474-44-400400-44-4−2i22i22i2−2i2000000000−2i22i22i2−2i20000000000000000000000000000
χ484-44-400400-44-42i2−2i2−2i22i20000000002i2−2i2−2i22i20000000000000000000000000000
χ494-44-400-2002-22−2i22i22i2−2i200000023−230i2−i2−i2i2i6−i6i6−i6000000000000000000000000
χ504-44-400-2002-22−2i22i22i2−2i2000000−23230i2−i2−i2i2−i6i6−i6i6000000000000000000000000
χ514-44-400-2002-222i2−2i2−2i22i200000023−230−i2i2i2−i2−i6i6−i6i6000000000000000000000000
χ524-44-400-2002-222i2−2i2−2i22i2000000−23230−i2i2i2−i2i6−i6i6−i6000000000000000000000000
χ534-4-440044-4-4-44000000000400-400000000000000000000000000000000
χ544-4-4400-24-422-2000000000-2002000023−23−2323000000000000000000000000
χ554-4-4400-24-422-2000000000-20020000−232323−23000000000000000000000000
χ564-4-4400-2-4422-24-44-400000200-2-22-220000000000000000000000000000
χ574-4-4400-2-4422-2-44-4400000200-22-22-20000000000000000000000000000

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