Finite Group Databasebeta

← Group #80690

Character table — Group #80690

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size1111222222222222444444444444444446666888812121212121212121212161616162424
order122222344666888846688121212122424242424242424444424442444448888612121244
χ1111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ5111111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-111111-11-111-1-111-1-1-1-111-1-1-11
χ6111111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11111-11-111111-1-1-1-1-1-1-1-1111-1
χ7111111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-1111111-1-11-1
χ8111111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1111111-1-111-11
χ91111-1-11111111111-1-1-1-1-11-1-111111-1-1-1-111-1-111-1-1-11-1-1-1-111-1-11-11-111
χ101111-1-11111111111-1-1-1-1-11-1-111111-1-1-1-111-1-1-1-111-11111111-1-1-11-11-1-1
χ111111-1-11111111111-1-1-1-1-11-1-111111-1-1-1-1-1-11111-1-11-11111-1-1111-11-1-1-1
χ121111-1-11111111111-1-1-1-1-11-1-111111-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-111-11-1111
χ131111-1-1111111-1-1-1-1-1-1-1111-1-11-1-1-1-1111111-1-11-1-11-1111-1-1-1-1111-1-11-11
χ141111-1-1111111-1-1-1-1-1-1-1111-1-11-1-1-1-1111111-1-1-111-1-11-1-111-1-111-111-11-1
χ151111-1-1111111-1-1-1-1-1-1-1111-1-11-1-1-1-11111-1-1111-1-111-1-1-11111-1-11-1-111-1
χ161111-1-1111111-1-1-1-1-1-1-1111-1-11-1-1-1-11111-1-111-111-11-111-1-111-1-1-111-1-11
χ172222222-2-22220000-22200-2-2-2-20000000022220000-2-200000000000000
χ182222222-2-22220000-22200-2-2-2-200000000-2-2-2-200002200000000000000
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
χ21222222-122-1-1-1-2-2-2-22-1-1-2-2-1-1-1-11111111100002-22-20000000000-1-11100
χ22222222-122-1-1-1-2-2-2-22-1-1-2-2-1-1-1-1111111110000-22-22000000000011-1-100
χ232222-2-22-2-222200002-2-200-222-20000000022-2-200002-200000000000000
χ242222-2-22-2-222200002-2-200-222-200000000-2-2220000-2200000000000000
χ252222-2-2-122-1-1-12222-211-2-2-111-1-1-1-1-11111000022-2-20000000000-11-1100
χ262222-2-2-122-1-1-12222-211-2-2-111-1-1-1-1-111110000-2-22200000000001-11-100
χ272222-2-2-122-1-1-1-2-2-2-2-21122-111-11111-1-1-1-100002-2-220000000000-111-100
χ282222-2-2-122-1-1-1-2-2-2-2-21122-111-11111-1-1-1-10000-222-200000000001-1-1100
χ292-22-22-22002-2-2−i2−i2i2i202-2−i2i20000−i2−i2i2i2−i2−i2i2i22i−2i2i−2i00000000002−22−2000000
χ302-22-22-22002-2-2−i2−i2i2i202-2−i2i20000−i2−i2i2i2−i2−i2i2i2−2i2i−2i2i0000000000−22−22000000
χ312-22-22-22002-2-2i2i2−i2−i202-2i2−i20000i2i2−i2−i2i2i2−i2−i22i−2i2i−2i0000000000−22−22000000
χ322-22-22-22002-2-2i2i2−i2−i202-2i2−i20000i2i2−i2−i2i2i2−i2−i2−2i2i−2i2i00000000002−22−2000000
χ332-22-2-222002-2-2−i2−i2i2i20-22i2−i20000−i2−i2i2i2i2i2−i2−i22i−2i−2i2i00000000002−2−22000000
χ342-22-2-222002-2-2−i2−i2i2i20-22i2−i20000−i2−i2i2i2i2i2−i2−i2−2i2i2i−2i0000000000−222−2000000
χ352-22-2-222002-2-2i2i2−i2−i20-22−i2i20000i2i2−i2−i2−i2−i2i2i22i−2i−2i2i0000000000−222−2000000
χ362-22-2-222002-2-2i2i2−i2−i20-22−i2i20000i2i2−i2−i2−i2−i2i2i2−2i2i2i−2i00000000002−2−22000000
χ372-2-220022-2-2-222i−2i2i−2i00000200-22i−2i2i−2i000000000000002i−2i2-20000000000
χ382-2-220022-2-2-222i−2i2i−2i00000200-22i−2i2i−2i00000000000000−2i2i-220000000000
χ392-2-220022-2-2-22−2i2i−2i2i00000200-2−2i2i−2i2i000000000000002i−2i-220000000000
χ402-2-220022-2-2-22−2i2i−2i2i00000200-2−2i2i−2i2i00000000000000−2i2i2-20000000000
χ41444444-2-4-4-2-2-20000-4-2-200222200000000000000000000000000000000
χ424444-4-4-2-4-4-2-2-20000422002-2-2200000000000000000000000000000000
χ4344-4-400400-44-422−22−222200000000022−22−22220000000000000000000000000000
χ4444-4-400400-44-4−222222−22000000000−222222−220000000000000000000000000000
χ4544-4-400-2002-2222−22−222200000023−230−222−26−66−6000000000000000000000000
χ4644-4-400-2002-2222−22−2222000000−23230−222−2−66−66000000000000000000000000
χ4744-4-400-2002-22−222222−2200000023−2302−2−22−66−66000000000000000000000000
χ4844-4-400-2002-22−222222−22000000−232302−2−226−66−6000000000000000000000000
χ494-44-44-4-200-222−2i2−2i22i22i20-22−2i22i20000i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ504-44-44-4-200-2222i22i2−2i2−2i20-222i2−2i20000−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ514-44-4-44-200-222−2i2−2i22i22i202-22i2−2i20000i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ524-44-4-44-200-2222i22i2−2i2−2i202-2−2i22i20000−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ534-4-44004-44-4-44000000000-400400000000000000000000000000000000
χ544-4-4400-24-422-24i−4i4i−4i00000-2002−2i2i−2i2i0000000000000000000000000000
χ554-4-4400-24-422-2−4i4i−4i4i00000-20022i−2i2i−2i0000000000000000000000000000
χ564-4-4400-2-4422-2000000000200-20000−2i32i32i3−2i3000000000000000000000000
χ574-4-4400-2-4422-2000000000200-200002i3−2i3−2i32i3000000000000000000000000

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