Finite Group Databasebeta

← Group #83913

Character table — Group #83913

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111122222222222222444444444444444444448888888888121212121212121224242424
order122222344446661212121222446688881212242424242424242424666612121212224444444488
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1
χ4111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ6111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ7111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-111-1-1
χ8111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-111
χ91111-1-11-1-111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11-11111-1-1-1-11-11-111-1-11-11-1
χ101111-1-11-1-111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11-11111-1-1-1-1-11-11-1-111-11-11
χ111111-1-11-1-111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1111-1-1-1-1111-11-111-1-1-11-11
χ121111-1-11-1-111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1111-1-1-1-111-11-11-1-1111-11-1
χ131111-1-11-1-111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-11-1-1-1-111111-11-1-1-111-111-1
χ141111-1-11-1-111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-11-1-1-1-11111-11-1111-1-11-1-11
χ151111-1-11-1-111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1-11111-1-11-11-1-1-1111-1-11
χ161111-1-11-1-111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1-11111-1-1-11-1111-1-1-111-1
χ172222222-2-2-2-2222-2-2-2-20000220000-2-20000000000000000002-2-2200000000
χ182222222-2-2-2-2222-2-2-2-20000220000-2-2000000000000000000-222-200000000
χ19222222-12222-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000
χ20222222-12222-1-1-1-1-1-1-12222-1-1-2-2-2-2-1-111111111-2-2-1-111-1-111000000000000
χ21222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-2-211111111000000000000
χ22222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-2-2-2-2-1-1111111112211-1-111-1-1000000000000
χ232222-2-2222-2-222222220000-2-20000-2-200000000000000000022-2-200000000
χ242222-2-2222-2-222222220000-2-20000-2-2000000000000000000-2-22200000000
χ252222-2-2-1-2-222-1-1-1111122-2-21122-2-2-1-1-1-1-1-111112-2-1-1-1-11111000000000000
χ262222-2-2-1-2-222-1-1-1111122-2-211-2-222-1-11111-1-1-1-1-22-1-11111-1-1000000000000
χ272222-2-2-1-2-222-1-1-11111-2-2221122-2-2-1-1-1-1-1-11111-221111-1-1-1-1000000000000
χ282222-2-2-1-2-222-1-1-11111-2-22211-2-222-1-11111-1-1-1-12-211-1-1-1-111000000000000
χ292-2-222-222-22-2-2-2222-2-22-22-22-20000-2200000000002-2002-200000000000000
χ302-2-222-222-22-2-2-2222-2-2-22-222-20000-220000000000-2200-2200000000000000
χ312-2-222-22-22-22-2-22-2-22200002-200002-200000000000000000000002-22-20000
χ322-2-222-22-22-22-2-22-2-22200002-200002-20000000000000000000000-22-220000
χ332-2-222-2-12-22-211-1-1-1112-22-2-1100001-1−i3−i3i3i3−i3−i3i3i300-11−i3i3-11−i3i3000000000000
χ342-2-222-2-12-22-211-1-1-1112-22-2-1100001-1i3i3−i3−i3i3i3−i3−i300-11i3−i3-11i3−i3000000000000
χ352-2-222-2-12-22-211-1-1-111-22-22-1100001-1−i3−i3i3i3−i3−i3i3i3001-1i3−i31-1i3−i3000000000000
χ362-2-222-2-12-22-211-1-1-111-22-22-1100001-1i3i3−i3−i3i3i3−i3−i3001-1−i3i31-1−i3i3000000000000
χ372-2-22-2222-2-22-2-2222-2-20000-2200002-200000000000000000000002-2-220000
χ382-2-22-2222-2-22-2-2222-2-20000-2200002-20000000000000000000000-222-20000
χ392-2-22-222-222-2-2-22-2-2222-2-22-220000-2200000000002-200-2200000000000000
χ402-2-22-222-222-2-2-22-2-222-222-2-220000-220000000000-22002-200000000000000
χ412-2-22-22-1-222-211-111-1-12-2-221-100001-1−i3−i3i3i3i3i3−i3−i300-11−i3i31-1i3−i3000000000000
χ422-2-22-22-1-222-211-111-1-12-2-221-100001-1i3i3−i3−i3−i3−i3i3i300-11i3−i31-1−i3i3000000000000
χ432-2-22-22-1-222-211-111-1-1-222-21-100001-1−i3−i3i3i3i3i3−i3−i3001-1i3−i3-11−i3i3000000000000
χ442-2-22-22-1-222-211-111-1-1-222-21-100001-1i3i3−i3−i3−i3−i3i3i3001-1−i3i3-11i3−i3000000000000
χ45444444-2-4-4-4-4-2-2-222220000-2-2000022000000000000000000000000000000
χ464444-4-4-244-4-4-2-2-2-2-2-2-2000022000022000000000000000000000000000000
χ4744-4-400400004-4-4000000000022−22000022−2222−2200000000000000000000000000
χ4844-4-400400004-4-40000000000−22220000−2222−222200000000000000000000000000
χ4944-4-400-20000-22223−2323−2300000022−220000−22−226−66−60000000000000000000000
χ5044-4-400-20000-22223−2323−23000000−222200002−22−2−66−660000000000000000000000
χ5144-4-400-20000-222−2323−232300000022−220000−22−22−66−660000000000000000000000
χ5244-4-400-20000-222−2323−2323000000−222200002−22−26−66−60000000000000000000000
χ534-44-40040000-44-4000000000000−2i22i2000000−2i22i22i2−2i20000000000000000000000
χ544-44-40040000-44-40000000000002i2−2i20000002i2−2i2−2i22i20000000000000000000000
χ554-44-400-200002-2223−23−232300000000−2i22i200i6−i6−i6i6i2−i2−i2i20000000000000000000000
χ564-44-400-200002-2223−23−2323000000002i2−2i200−i6i6i6−i6−i2i2i2−i20000000000000000000000
χ574-44-400-200002-22−232323−2300000000−2i22i200−i6i6i6−i6i2−i2−i2i20000000000000000000000
χ584-44-400-200002-22−232323−23000000002i2−2i200i6−i6−i6i6−i2i2i2−i20000000000000000000000
χ594-4-444-4-2-44-4422-222-2-20000-220000-22000000000000000000000000000000
χ604-4-44-44-24-4-4422-2-2-22200002-20000-22000000000000000000000000000000

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