Finite Group Databasebeta

← Group #79124

Character table — Group #79124

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222222222222244444444444444444446666888888888812121212121224242424
order12222234466666668888444448812121212242424242424242422444412121212121212124488882444
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111111-11111-1-1-1-111-1-1-1-11-11-1
χ61111111111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-11111-11-11
χ71111111111111111-1-1-1-11-1-111-1-11111-1-1-1-1-1-1-1-11111-11-1-1-1-1111111-1-1-1-1-11-11
χ81111111111111111-1-1-1-11-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111111-11-1
χ91111-1-1111-1-1-1-11111111-11111-1-11-1-111111-1-1-1-111-1-1-1-111-1-111-1-11-1-1-111-1-111
χ101111-1-1111-1-1-1-11111111-11111-1-11-1-111111-1-1-1-1-1-111-1-111-1-111-1-1-1111-1-111-1-1
χ111111-1-1111-1-1-1-11111111-1-1-1-1-1-1-11-1-111111-1-1-1-111-1-111-1-111-1-1111-1-1-11111-1-1
χ121111-1-1111-1-1-1-11111111-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-11111-1-111-1-111-1111-1-1-1-111
χ131111-1-1111-1-1-1-1111-1-1-1-1-111-1-1111-1-11-1-1-1-1111111-1-1-1111-1-1-1-1111-111-1-1-111-1
χ141111-1-1111-1-1-1-1111-1-1-1-1-111-1-1111-1-11-1-1-1-11111-1-111-1111-1-1-1-111-11-1-1111-1-11
χ151111-1-1111-1-1-1-1111-1-1-1-1-1-1-111111-1-11-1-1-1-1111111-1-11-1-1-11111-1-11-111-1-11-1-11
χ161111-1-1111-1-1-1-1111-1-1-1-1-1-1-111111-1-11-1-1-1-11111-1-1111-1-1-11111-1-1-11-1-111-111-1
χ172222222-2-222222220000-2000000-2-2-2-20000000022220000000000-2-200000000
χ182222222-2-222222220000-2000000-2-2-2-200000000-2-2-2-200000000002200000000
χ19222222-122-1-1-1-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-10000000000
χ20222222-122-1-1-1-1-1-1-122222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2111111110000000000
χ21222222-122-1-1-1-1-1-1-1-2-2-2-2222-2-2-2-2-1-1-1-11111111100002-2-1-1-1-111110000000000
χ22222222-122-1-1-1-1-1-1-1-2-2-2-22-2-222-2-2-1-1-1-1111111110000-221111-1-1-1-10000000000
χ232222-2-22-2-2-2-2-2-222200002000000-222-20000000022-2-20000000000-2200000000
χ242222-2-22-2-2-2-2-2-222200002000000-222-200000000-2-22200000000002-200000000
χ252222-2-2-1221111-1-1-12222-22222-2-2-111-1-1-1-1-111110000-2-2-1-111-1-1110000000000
χ262222-2-2-1221111-1-1-12222-2-2-2-2-2-2-2-111-1-1-1-1-1111100002211-1-111-1-10000000000
χ272222-2-2-1221111-1-1-1-2-2-2-2-222-2-222-111-11111-1-1-1-10000-22-1-11111-1-10000000000
χ282222-2-2-1221111-1-1-1-2-2-2-2-2-2-22222-111-11111-1-1-1-100002-211-1-1-1-1110000000000
χ2922-2-2002-2200002-2-222-2-202i−2i2i−2i00-200222-2-200000000002i−2i002i−2i000000000000
χ3022-2-2002-2200002-2-222-2-20−2i2i−2i2i00-200222-2-20000000000−2i2i00−2i2i000000000000
χ3122-2-2002-2200002-2-2-2-22202i−2i−2i2i00-2002-2-22200000000002i−2i00−2i2i000000000000
χ3222-2-2002-2200002-2-2-2-2220−2i2i2i−2i00-2002-2-2220000000000−2i2i002i−2i000000000000
χ3322-2-200-1-22−i3−i3i3i3-11122-2-202i−2i2i−2i001−i3i3-1-1-111−i3−i3i3i3000000−ii3−3−ii3−30000000000
χ3422-2-200-1-22−i3−i3i3i3-11122-2-20−2i2i−2i2i001−i3i3-1-1-111−i3−i3i3i3000000i−i−33i−i−330000000000
χ3522-2-200-1-22−i3−i3i3i3-111-2-22202i−2i−2i2i001−i3i3-111-1-1i3i3−i3−i3000000−ii3−3i−i−330000000000
χ3622-2-200-1-22−i3−i3i3i3-111-2-2220−2i2i2i−2i001−i3i3-111-1-1i3i3−i3−i3000000i−i−33−ii3−30000000000
χ3722-2-200-1-22i3i3−i3−i3-11122-2-202i−2i2i−2i001i3−i3-1-1-111i3i3−i3−i3000000−ii−33−ii−330000000000
χ3822-2-200-1-22i3i3−i3−i3-11122-2-20−2i2i−2i2i001i3−i3-1-1-111i3i3−i3−i3000000i−i3−3i−i3−30000000000
χ3922-2-200-1-22i3i3−i3−i3-111-2-22202i−2i−2i2i001i3−i3-111-1-1−i3−i3i3i3000000−ii−33i−i3−30000000000
χ4022-2-200-1-22i3i3−i3−i3-111-2-2220−2i2i2i−2i001i3−i3-111-1-1−i3−i3i3i3000000i−i3−3−ii−330000000000
χ412-22-22-22002-22-2-22-2−i2i2−i2i200000−i2i20000−i2i2−i2i2−i2i2−i2i22-22-2000000000000−i2i2−i2i20000
χ422-22-22-22002-22-2-22-2−i2i2−i2i200000−i2i20000−i2i2−i2i2−i2i2−i2i2-22-22000000000000i2−i2i2−i20000
χ432-22-22-22002-22-2-22-2i2−i2i2−i200000i2−i20000i2−i2i2−i2i2−i2i2−i22-22-2000000000000i2−i2i2−i20000
χ442-22-22-22002-22-2-22-2i2−i2i2−i200000i2−i20000i2−i2i2−i2i2−i2i2−i2-22-22000000000000−i2i2−i2i20000
χ452-22-2-22200-22-22-22-2−i2i2−i2i200000i2−i20000−i2i2−i2i2i2−i2i2−i22-2-22000000000000i2−i2−i2i20000
χ462-22-2-22200-22-22-22-2−i2i2−i2i200000i2−i20000−i2i2−i2i2i2−i2i2−i2-222-2000000000000−i2i2i2−i20000
χ472-22-2-22200-22-22-22-2i2−i2i2−i200000−i2i20000i2−i2i2−i2−i2i2−i2i22-2-22000000000000−i2i2i2−i20000
χ482-22-2-22200-22-22-22-2i2−i2i2−i200000−i2i20000i2−i2i2−i2−i2i2−i2i2-222-2000000000000i2−i2−i2i20000
χ49444444-2-4-4-2-2-2-2-2-2-20000-4000000222200000000000000000000000000000000
χ504444-4-4-2-4-42222-2-2-2000040000002-2-2200000000000000000000000000000000
χ5144-4-40044-400004-4-400000000000400-400000000000000000000000000000000
χ5244-4-400-24-4−2i3−2i32i32i3-22200000000000-22i3−2i3200000000000000000000000000000000
χ5344-4-400-24-42i32i3−2i3−2i3-22200000000000-2−2i32i3200000000000000000000000000000000
χ544-44-44-4-200-22-222-22−2i22i2−2i22i200000−2i22i20000i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ554-44-44-4-200-22-222-222i2−2i22i2−2i2000002i2−2i20000−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ564-44-4-44-2002-22-22-22−2i22i2−2i22i2000002i2−2i20000i2−i2i2−i2−i2i2−i2i2000000000000000000000000
χ574-44-4-44-2002-22-22-222i2−2i22i2−2i200000−2i22i20000−i2i2−i2i2i2−i2i2−i2000000000000000000000000
χ584-4-44004000000-4-44−2i22i22i2−2i200000000000−2i22i22i2−2i20000000000000000000000000000
χ594-4-44004000000-4-442i2−2i2−2i22i2000000000002i2−2i2−2i22i20000000000000000000000000000
χ604-4-4400-200−2i32i32i3−2i322-2−2i22i22i2−2i200000000000i2−i2−i2i2−666−6000000000000000000000000
χ614-4-4400-200−2i32i32i3−2i322-22i2−2i2−2i22i200000000000−i2i2i2−i26−6−66000000000000000000000000
χ624-4-4400-2002i3−2i3−2i32i322-2−2i22i22i2−2i200000000000i2−i2−i2i26−6−66000000000000000000000000
χ634-4-4400-2002i3−2i3−2i32i322-22i2−2i2−2i22i200000000000−i2i2i2−i2−666−6000000000000000000000000

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