Finite Group Databasebeta

← Group #4532

Character table — Group #4532

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1111111122222222222244444444444444446666666612121212
order12224444223446661212121244446612121212121212121212444444448888
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
χ51111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-1iiii−i−i−i−iii−i−i
χ61111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-1−i−i−i−iiiii−i−iii
χ71111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-11111iiii−i−i−i−i−i−iii
χ81111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-11111−i−i−i−iiiiiii−i−i
χ911-1-111-1-1-1111-11-1-111-1-1i−ii−i1-11-1ii−i−iii−i−i11-1-111-1-1i−ii−i
χ1011-1-111-1-1-1111-11-1-111-1-1i−ii−i1-11-1ii−i−iii−i−i-1-111-1-111−ii−ii
χ1111-1-111-1-1-1111-11-1-111-1-1−ii−ii1-11-1−i−iii−i−iii11-1-111-1-1−ii−ii
χ1211-1-111-1-1-1111-11-1-111-1-1−ii−ii1-11-1−i−iii−i−iii-1-111-1-111i−ii−i
χ1311-1-1-1-1111-111-11-1-1-1-111i−i−ii-111-1ii−i−i−i−iiiii−i−i−i−iii-111-1
χ1411-1-1-1-1111-111-11-1-1-1-111i−i−ii-111-1ii−i−i−i−iii−i−iiiii−i−i1-1-11
χ1511-1-1-1-1111-111-11-1-1-1-111−iii−i-111-1−i−iiiii−i−iii−i−i−i−iii1-1-11
χ1611-1-1-1-1111-111-11-1-1-1-111−iii−i-111-1−i−iiiii−i−i−i−iiiii−i−i-111-1
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
χ2722-2-222-2-22-22-222-2-222-2-20000-22-2200000000000000000000
χ2822-2-222-2-22-2-1-22-111-1-11100001-11-13−3−333−3−33000000000000
χ2922-2-222-2-22-2-1-22-111-1-11100001-11-1−333−3−333−3000000000000
χ3022-2-222-2-2-22-12-2-111-1-1112i−2i2i−2i-11-11−i−iii−i−iii000000000000
χ3122-2-222-2-2-22-12-2-111-1-111−2i2i−2i2i-11-11ii−i−iii−i−i000000000000
χ3222-2-2-2-2222-2-12-2-11111-1-12i−2i−2i2i1-1-11−i−iiiii−i−i000000000000
χ3322-2-2-2-2222-2-12-2-11111-1-1−2i2i2i−2i1-1-11ii−i−i−i−iii000000000000
χ3422-2-2-2-222-222-222-2-2-2-22200002-2-2200000000000000000000
χ3522-2-2-2-222-22-1-22-11111-1-10000-111-13−3−33−333−3000000000000
χ3622-2-2-2-222-22-1-22-11111-1-10000-111-1−333−33−3−33000000000000
χ372-22-22i−2i2i−2i00200-22-22i−2i2i−2i00000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000
χ382-22-22i−2i2i−2i00200-22-22i−2i2i−2i0000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000
χ392-22-2−2i2i−2i2i00200-22-2−2i2i−2i2i00000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000
χ402-22-2−2i2i−2i2i00200-22-2−2i2i−2i2i0000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000
χ412-2-222i−2i−2i2i00200-2-222i−2i−2i2i00000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i0000
χ422-2-222i−2i−2i2i00200-2-222i−2i−2i2i0000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000
χ432-2-22−2i2i2i−2i00200-2-22−2i2i2i−2i00000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i0000
χ442-2-22−2i2i2i−2i00200-2-22−2i2i2i−2i0000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000
χ454-44-44i−4i4i−4i00-2002-22−2i2i−2i2i0000000000000000000000000000
χ464-44-4−4i4i−4i4i00-2002-222i−2i2i−2i0000000000000000000000000000
χ474-4-444i−4i−4i4i00-20022-2−2i2i2i−2i0000000000000000000000000000
χ484-4-44−4i4i4i−4i00-20022-22i−2i−2i2i0000000000000000000000000000

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