Finite Group Databasebeta

← Group #4558

Character table — Group #4558

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1111111122222222222244444444444444446666666612121212
order12224444223446661212121266888812122424242424242424888888888888
χ1111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−i11iiii−i−i−i−i1111-1-1-1-1ii−i−i
χ61111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−i11iiii−i−i−i−i-1-1-1-11111−i−iii
χ71111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii11−i−i−i−iiiii1111-1-1-1-1−i−iii
χ81111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii11−i−i−i−iiiii-1-1-1-11111ii−i−i
χ91-1-1111-1-11-111-1-1-11-1-1111-11-11-11-111-1-111-1-1ii−i−iii−i−ii−ii−i
χ101-1-1111-1-11-111-1-1-11-1-1111-11-11-11-111-1-111-1-1−i−iii−i−iii−ii−ii
χ111-1-1111-1-11-111-1-1-11-1-1111-1-11-111-1-1-111-1-111ii−i−iii−i−i−ii−ii
χ121-1-1111-1-11-111-1-1-11-1-1111-1-11-111-1-1-111-1-111−i−iii−i−iiii−ii−i
χ131-1-11-1-111-1111-1-1-1111-1-1-11i−i−ii1-1ii−i−i−i−iiiii−i−i−i−iii-111-1
χ141-1-11-1-111-1111-1-1-1111-1-1-11i−i−ii1-1ii−i−i−i−iii−i−iiiii−i−i1-1-11
χ151-1-11-1-111-1111-1-1-1111-1-1-11−iii−i1-1−i−iiiii−i−iii−i−i−i−iii1-1-11
χ161-1-11-1-111-1111-1-1-1111-1-1-11−iii−i1-1−i−iiiii−i−i−i−iiiii−i−i-111-1
χ172222222222-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1000000000000
χ182222222222-122-1-1-1-1-1-1-1-1-1-2-2-2-2-1-111111111000000000000
χ1922222222-2-22-2-22222222-2-20000-2-200000000000000000000
χ2022222222-2-2-1-2-2-1-1-1-1-1-1-111000011−i3i3−i3i3−i3i3−i3i3000000000000
χ2122222222-2-2-1-2-2-1-1-1-1-1-1-111000011i3−i3i3−i3i3−i3i3−i3000000000000
χ222222-2-2-2-2222-2-2222-2-2-2-2220000-2-200000000000000000000
χ232222-2-2-2-222-1-2-2-1-1-11111-1-10000113−33−3−33−33000000000000
χ242222-2-2-2-222-1-2-2-1-1-11111-1-1000011−33−333−33−3000000000000
χ252222-2-2-2-2-2-2-122-1-1-11111112i2i−2i−2i-1-1−i−i−i−iiiii000000000000
χ262222-2-2-2-2-2-2-122-1-1-1111111−2i−2i2i2i-1-1iiii−i−i−i−i000000000000
χ2722-2-22i−2i2i−2i002002-2-22i−2i2i−2i00000000000000002−22−2−i2i2−i2i20000
χ2822-2-22i−2i2i−2i002002-2-22i−2i2i−2i0000000000000000−22−22i2−i2i2−i20000
χ2922-2-2−2i2i−2i2i002002-2-2−2i2i−2i2i00000000000000002−22−2i2−i2i2−i20000
χ3022-2-2−2i2i−2i2i002002-2-2−2i2i−2i2i0000000000000000−22−22−i2i2−i2i20000
χ312-22-22i−2i−2i2i00200-22-2−2i2i2i−2i0000000000000000−i2i2i2−i2−222−20000
χ322-22-22i−2i−2i2i00200-22-2−2i2i2i−2i0000000000000000i2−i2−i2i22−2−220000
χ332-22-2−2i2i2i−2i00200-22-22i−2i−2i2i0000000000000000−i2i2i2−i22−2−220000
χ342-22-2−2i2i2i−2i00200-22-22i−2i−2i2i0000000000000000i2−i2−i2i2−222−20000
χ352-2-2222-2-22-2-12-211-111-1-1-112-22-2-11-1-111-1-111000000000000
χ362-2-2222-2-22-2-12-211-111-1-1-11-22-22-1111-1-111-1-1000000000000
χ372-2-2222-2-2-222-22-2-22-2-222-220000-2200000000000000000000
χ382-2-2222-2-2-22-1-2211-111-1-11-100001-1−i3i3i3−i3−i3i3i3−i3000000000000
χ392-2-2222-2-2-22-1-2211-111-1-11-100001-1i3−i3−i3i3i3−i3−i3i3000000000000
χ402-2-22-2-2222-22-22-2-2222-2-22-20000-2200000000000000000000
χ412-2-22-2-2222-2-1-2211-1-1-111-1100001-13−3−33−333−3000000000000
χ422-2-22-2-2222-2-1-2211-1-1-111-1100001-1−333−33−3−33000000000000
χ432-2-22-2-222-22-12-211-1-1-1111-12i−2i−2i2i-11−i−iiiii−i−i000000000000
χ442-2-22-2-222-22-12-211-1-1-1111-1−2i2i2i−2i-11ii−i−i−i−iii000000000000
χ4544-4-44i−4i4i−4i00-200-222−2i2i−2i2i0000000000000000000000000000
χ4644-4-4−4i4i−4i4i00-200-2222i−2i2i−2i0000000000000000000000000000
χ474-44-44i−4i−4i4i00-2002-222i−2i−2i2i0000000000000000000000000000
χ484-44-4−4i4i4i−4i00-2002-22−2i2i2i−2i0000000000000000000000000000

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