Finite Group Databasebeta

← Group #69462

Character table — Group #69462

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111111112222222222222222222222224444444444444444444444444444444444121212121212121224242424
order12222222344444444666666612121212121212124444444444121212121212121212121212121212121212121212121212888888882244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ811111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ911-11-1-11-111-1ii−i−i1-11-11-1-11-1iiii−i−i−i−ii−i11-1-1ii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i1-1i−i
χ1011-11-1-11-111-1ii−i−i1-11-11-1-11-1iiii−i−i−i−ii−i11-1-1ii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii-11−ii
χ1111-11-1-11-111-1ii−i−i1-11-11-1-11-1iiii−i−i−i−ii−i-1-111−i−iii11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i-11−ii
χ1211-11-1-11-111-1ii−i−i1-11-11-1-11-1iiii−i−i−i−ii−i-1-111−i−iii11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiii-1-111−i−iii1-1i−i
χ1311-11-1-11-111-1−i−iii1-11-11-1-11-1−i−i−i−iiiii−ii11-1-1−i−iii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii1-1−ii
χ1411-11-1-11-111-1−i−iii1-11-11-1-11-1−i−i−i−iiiii−ii11-1-1−i−iii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i-11i−i
χ1511-11-1-11-111-1−i−iii1-11-11-1-11-1−i−i−i−iiiii−ii-1-111ii−i−i11-1-1−i−iii-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii-11i−i
χ1611-11-1-11-111-1−i−iii1-11-11-1-11-1−i−i−i−iiiii−ii-1-111ii−i−i11-1-1−i−iii-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i1-1−ii
χ17222222222-2-22222-2-2222222222222222-2-200000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ18222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-22200000000-2-2-2-222220000000000000000000000000000
χ1922222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ2022222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000000000
χ2122222222-122-2-2-2-222-1-1-1-1-1-1-111111111-2-22222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111000000000000
χ2222222222-122-2-2-2-222-1-1-1-1-1-1-111111111-2-2-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-1000000000000
χ2322222222-1-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000000011111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000
χ2422222222-1-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000000011111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000
χ2522222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111111122000000001111-1-1-1-1−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3000000000000
χ2622222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111111122000000001111-1-1-1-1i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3000000000000
χ2722-22-2-22-22-222i2i−2i−2i-222-22-2-22-22i2i2i2i−2i−2i−2i−2i−2i2i00000000-2-222−2i−2i2i2i0000000000000000000000000000
χ2822-22-2-22-22-22−2i−2i2i2i-222-22-2-22-2−2i−2i−2i−2i2i2i2i2i2i−2i00000000-2-2222i2i−2i−2i0000000000000000000000000000
χ2922-22-2-22-2-12-22i2i−2i−2i2-2-11-111-11−i−i−i−iiiii2i−2i22-2-22i2i−2i−2i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii000000000000
χ3022-22-2-22-2-12-22i2i−2i−2i2-2-11-111-11−i−i−i−iiiii2i−2i-2-222−2i−2i2i2i-1-111−i−iii1111-1-1-1-1iiii−i−i−i−i000000000000
χ3122-22-2-22-2-12-2−2i−2i2i2i2-2-11-111-11iiii−i−i−i−i−2i2i22-2-2−2i−2i2i2i-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i000000000000
χ3222-22-2-22-2-12-2−2i−2i2i2i2-2-11-111-11iiii−i−i−i−i−2i2i-2-2222i2i−2i−2i-1-111ii−i−i1111-1-1-1-1−i−i−i−iiiii000000000000
χ3322-22-2-22-2-1-222i2i−2i−2i-22-11-111-11−i−i−i−iiiii−2i2i0000000011-1-1ii−i−i−i3−i3i3i3i3i3−i3−i333−3−3−3−333000000000000
χ3422-22-2-22-2-1-222i2i−2i−2i-22-11-111-11−i−i−i−iiiii−2i2i0000000011-1-1ii−i−ii3i3−i3−i3−i3−i3i3i3−3−33333−3−3000000000000
χ3522-22-2-22-2-1-22−2i−2i2i2i-22-11-111-11iiii−i−i−i−i2i−2i0000000011-1-1−i−iii−i3−i3i3i3i3i3−i3−i3−3−33333−3−3000000000000
χ3622-22-2-22-2-1-22−2i−2i2i2i-22-11-111-11iiii−i−i−i−i2i−2i0000000011-1-1−i−iiii3i3−i3−i3−i3−i3i3i333−3−3−3−333000000000000
χ372-222-2-2-222220000-2-2-222-2-2-2200000000002i−2i2i−2i00002-22-200002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ382-222-2-2-222220000-2-2-222-2-2-220000000000−2i2i−2i2i00002-22-20000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ392-222-2-2-222-2-2000022-222-2-2-22000000000000002-22-2-22-220000000000002-22-22-22-2000000000000
χ402-222-2-2-222-2-2000022-222-2-2-2200000000000000-22-22-22-22000000000000-22-22-22-22000000000000
χ412-222-2-2-22-1220000-2-21-1-1111-133−3−333−3−3002i−2i2i−2i0000-11-113−33−3−ii−ii−ii−ii−i3i3i3−i3−i3i3i3−i3000000000000
χ422-222-2-2-22-1220000-2-21-1-1111-133−3−333−3−300−2i2i−2i2i0000-11-113−33−3i−ii−ii−ii−ii3−i3−i3i3i3−i3−i3i3000000000000
χ432-222-2-2-22-1220000-2-21-1-1111-1−3−333−3−333002i−2i2i−2i0000-11-11−33−33−ii−ii−ii−iii3−i3−i3i3i3−i3−i3i3000000000000
χ442-222-2-2-22-1220000-2-21-1-1111-1−3−333−3−33300−2i2i−2i2i0000-11-11−33−33i−ii−ii−ii−i−i3i3i3−i3−i3i3i3−i3000000000000
χ452-222-2-2-22-1-2-20000221-1-1111-133−3−333−3−30000002-22-21-11-1−33−333−3−333−3−33-11-11-11-11000000000000
χ462-222-2-2-22-1-2-20000221-1-1111-133−3−333−3−3000000-22-221-11-1−33−33−333−3−333−31-11-11-11-1000000000000
χ472-222-2-2-22-1-2-20000221-1-1111-1−3−333−3−3330000002-22-21-11-13−33−3−333−3−333−3-11-11-11-11000000000000
χ482-222-2-2-22-1-2-20000221-1-1111-1−3−333−3−333000000-22-221-11-13−33−33−3−333−3−331-11-11-11-1000000000000
χ492-22-22-22-22002i−2i2i−2i00-22-22-22-22i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000002−22−2−i2i2−i2i20000
χ502-22-22-22-22002i−2i2i−2i00-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000−22−22i2−i2i2−i20000
χ512-22-22-22-2200−2i2i−2i2i00-22-22-22-2−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000002−22−2i2−i2i2−i20000
χ522-22-22-22-2200−2i2i−2i2i00-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000−22−22−i2i2−i2i20000
χ532-2-2222-2-222-20000-22-2-2222-2-200000000002i−2i−2i2i00002-2-2200002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ542-2-2222-2-222-20000-22-2-2222-2-20000000000−2i2i2i−2i00002-2-220000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ552-2-2222-2-22-2200002-2-2-2222-2-2000000000000002i−2i−2i2i-222-20000000000002i−2i2i−2i−2i2i−2i2i000000000000
χ562-2-2222-2-22-2200002-2-2-2222-2-200000000000000−2i2i2i−2i-222-2000000000000−2i2i−2i2i2i−2i2i−2i000000000000
χ572-2-2222-2-2-12-20000-2211-1-1-111−i3−i3i3i3i3i3−i3−i3002i−2i−2i2i0000-111-1−i3i3i3−i3−ii−iii−ii−i−333−33−3−33000000000000
χ582-2-2222-2-2-12-20000-2211-1-1-111−i3−i3i3i3i3i3−i3−i300−2i2i2i−2i0000-111-1−i3i3i3−i3i−ii−i−ii−ii3−3−33−333−3000000000000
χ592-2-2222-2-2-12-20000-2211-1-1-111i3i3−i3−i3−i3−i3i3i3002i−2i−2i2i0000-111-1i3−i3−i3i3−ii−iii−ii−i3−3−33−333−3000000000000
χ602-2-2222-2-2-12-20000-2211-1-1-111i3i3−i3−i3−i3−i3i3i300−2i2i2i−2i0000-111-1i3−i3−i3i3i−ii−i−ii−ii−333−33−3−33000000000000
χ612-2-2222-2-2-1-2200002-211-1-1-111−i3−i3i3i3i3i3−i3−i30000002i−2i−2i2i1-1-11i3−i3−i3i3−333−33−3−33−ii−iii−ii−i000000000000
χ622-2-2222-2-2-1-2200002-211-1-1-111−i3−i3i3i3i3i3−i3−i3000000−2i2i2i−2i1-1-11i3−i3−i3i33−3−33−333−3i−ii−i−ii−ii000000000000
χ632-2-2222-2-2-1-2200002-211-1-1-111i3i3−i3−i3−i3−i3i3i30000002i−2i−2i2i1-1-11−i3i3i3−i33−3−33−333−3−ii−iii−ii−i000000000000
χ642-2-2222-2-2-1-2200002-211-1-1-111i3i3−i3−i3−i3−i3i3i3000000−2i2i2i−2i1-1-11−i3i3i3−i3−333−33−3−33i−ii−i−ii−ii000000000000
χ652-2-2-2-22222002-2-2200-2-2-2-22222-22-2-22-2200000000000000000000000000000000002−2−22−222−20000
χ662-2-2-2-22222002-2-2200-2-2-2-22222-22-2-22-220000000000000000000000000000000000−222−22−2−220000
χ672-2-2-2-2222200-222-200-2-2-2-2222-22-222-22-200000000000000000000000000000000002−2−222−2−220000
χ682-2-2-2-2222200-222-200-2-2-2-2222-22-222-22-20000000000000000000000000000000000−222−2−222−20000
χ69444-4-44-4-440000000044-4-44-4-4000000000000000000000000000000000000000000000000000000
χ70444-4-44-4-4-200000000-2-222-222−2i32i32i3−2i3−2i32i32i3−2i30000000000000000000000000000000000000000000000
χ71444-4-44-4-4-200000000-2-222-2222i3−2i3−2i32i32i3−2i3−2i32i30000000000000000000000000000000000000000000000
χ7244-4-44-4-444000000004-4-44-4-44000000000000000000000000000000000000000000000000000000
χ7344-4-44-4-44-200000000-222-222-223−23−2323−232323−230000000000000000000000000000000000000000000000
χ7444-4-44-4-44-200000000-222-222-2−232323−2323−23−23230000000000000000000000000000000000000000000000
χ754-44-44-44-4-2004i−4i4i−4i002-22-22-22−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000
χ764-44-44-44-4-200−4i4i−4i4i002-22-22-222i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000
χ774-4-4-4-4444-2004-4-44002222-2-2-2-22-222-22-20000000000000000000000000000000000000000000000
χ784-4-4-4-4444-200-444-4002222-2-2-22-22-2-22-220000000000000000000000000000000000000000000000

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