Finite Group Databasebeta

← Group #5002

Character table — Group #5002

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1111111122222222222244444444444444446666666612121212
order12224444223446661212121244446612121212121212121212888888882244
χ1111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1
χ61111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ71111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-111
χ81111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ91-1-1111-1-11-111-11-1-111-1-1i−ii−i1-11-1ii−i−iii−i−iii−i−iii−i−i1-11-1
χ101-1-1111-1-11-111-11-1-111-1-1i−ii−i1-11-1ii−i−iii−i−i−i−iii−i−iii-11-11
χ111-1-1111-1-11-111-11-1-111-1-1−ii−ii1-11-1−i−iii−i−iiiii−i−iii−i−i-11-11
χ121-1-1111-1-11-111-11-1-111-1-1−ii−ii1-11-1−i−iii−i−iii−i−iii−i−iii1-11-1
χ131-1-11-1-111-1111-11-1-1-1-111i−i−ii-111-1ii−i−i−i−iiiii−i−i−i−iii1-1-11
χ141-1-11-1-111-1111-11-1-1-1-111i−i−ii-111-1ii−i−i−i−iii−i−iiiii−i−i-111-1
χ151-1-11-1-111-1111-11-1-1-1-111−iii−i-111-1−i−iiiii−i−iii−i−i−i−iii-111-1
χ161-1-11-1-111-1111-11-1-1-1-111−iii−i-111-1−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ172222222222-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ182222222222-122-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111000000000000
χ1922222222-2-22-2-222222220000-2-2-2-200000000000000000000
χ2022222222-2-2-1-2-2-1-1-1-1-1-1-100001111−i3i3−i3i3−i3i3−i3i3000000000000
χ2122222222-2-2-1-2-2-1-1-1-1-1-1-100001111i3−i3i3−i3i3−i3i3−i3000000000000
χ222222-2-2-2-2222-2-2222-2-2-2-2000022-2-200000000000000000000
χ232222-2-2-2-222-1-2-2-1-1-111110000-1-111−i3i3−i3i3i3−i3i3−i3000000000000
χ242222-2-2-2-222-1-2-2-1-1-111110000-1-111i3−i3i3−i3−i3i3−i3i3000000000000
χ252222-2-2-2-2-2-2-122-1-1-1111122-2-211-1-1-1-1-1-11111000000000000
χ262222-2-2-2-2-2-2-122-1-1-11111-2-22211-1-11111-1-1-1-1000000000000
χ2722-2-22i−2i2i−2i00200-22-22i−2i2i−2i00000000000000002−22−2−i2i2−i2i20000
χ2822-2-22i−2i2i−2i00200-22-22i−2i2i−2i0000000000000000−22−22i2−i2i2−i20000
χ2922-2-2−2i2i−2i2i00200-22-2−2i2i−2i2i00000000000000002−22−2i2−i2i2−i20000
χ3022-2-2−2i2i−2i2i00200-22-2−2i2i−2i2i0000000000000000−22−22−i2i2−i2i20000
χ312-22-22i−2i−2i2i00200-2-222i−2i−2i2i0000000000000000−i2i2i2−i2−222−20000
χ322-22-22i−2i−2i2i00200-2-222i−2i−2i2i0000000000000000i2−i2−i2i22−2−220000
χ332-22-2−2i2i2i−2i00200-2-22−2i2i2i−2i0000000000000000−i2i2i2−i22−2−220000
χ342-22-2−2i2i2i−2i00200-2-22−2i2i2i−2i0000000000000000i2−i2−i2i2−222−20000
χ352-2-2222-2-22-2-12-2-111-1-1112i−2i2i−2i-11-11−i−iii−i−iii000000000000
χ362-2-2222-2-22-2-12-2-111-1-111−2i2i−2i2i-11-11ii−i−iii−i−i000000000000
χ372-2-2222-2-2-222-222-2-222-2-20000-22-2200000000000000000000
χ382-2-2222-2-2-22-1-22-111-1-11100001-11-13−3−333−3−33000000000000
χ392-2-2222-2-2-22-1-22-111-1-11100001-11-1−333−3−333−3000000000000
χ402-2-22-2-2222-22-222-2-2-2-22200002-2-2200000000000000000000
χ412-2-22-2-2222-2-1-22-11111-1-10000-111-13−3−33−333−3000000000000
χ422-2-22-2-2222-2-1-22-11111-1-10000-111-1−333−33−3−33000000000000
χ432-2-22-2-222-22-12-2-11111-1-12i−2i−2i2i1-1-11−i−iiiii−i−i000000000000
χ442-2-22-2-222-22-12-2-11111-1-1−2i2i2i−2i1-1-11ii−i−i−i−iii000000000000
χ4544-4-44i−4i4i−4i00-2002-22−2i2i−2i2i0000000000000000000000000000
χ4644-4-4−4i4i−4i4i00-2002-222i−2i2i−2i0000000000000000000000000000
χ474-44-44i−4i−4i4i00-20022-2−2i2i2i−2i0000000000000000000000000000
χ484-44-4−4i4i4i−4i00-20022-22i−2i−2i2i0000000000000000000000000000

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