Finite Group Databasebeta

← Group #70634

Character table — Group #70634

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111111112222222222224444444444444444888888888888121212121212121224242424
order12222222344446666666888812121212242424242424242444441212121212121212224488882244
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ9222222222-2-2-2-222222220000-2-2-2-20000000000000000000022-2-200000000
χ10222222222-2-2-2-222222220000-2-2-2-200000000000000000000-2-22200000000
χ1122222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ1222222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ1322222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-11111000000000000
χ1422222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-1000000000000
χ15222-2-22-2-222-22-222-2-2-22-200002-2-2200000000002i−2i00002i2i−2i−2i000000000000
χ16222-2-22-2-222-22-222-2-2-22-200002-2-220000000000−2i2i0000−2i−2i2i2i000000000000
χ17222-2-22-2-22-22-2222-2-2-22-20000-222-20000000000000000000000000000002i−2i
χ18222-2-22-2-22-22-2222-2-2-22-20000-222-2000000000000000000000000000000−2i2i
χ19222-2-22-2-2-12-22-2-1-1111-110000-111-1−i3−i3−i3−i3i3i3i3i3002i−2i33−3−3−i−iii000000000000
χ20222-2-22-2-2-12-22-2-1-1111-110000-111-1−i3−i3−i3−i3i3i3i3i300−2i2i−3−333ii−i−i000000000000
χ21222-2-22-2-2-12-22-2-1-1111-110000-111-1i3i3i3i3−i3−i3−i3−i3002i−2i−3−333−i−iii000000000000
χ22222-2-22-2-2-12-22-2-1-1111-110000-111-1i3i3i3i3−i3−i3−i3−i300−2i2i33−3−3ii−i−i000000000000
χ2322-22-2-2-22200002-222-2-2-222−2−2000022−2−222−2−2000000000000002i−2i−i2−i2i2i20000
χ2422-22-2-2-22200002-222-2-2-222−2−2000022−2−222−2−200000000000000−2i2ii2i2−i2−i20000
χ2522-22-2-2-22200002-222-2-2-2−2−2220000−2−222−2−222000000000000002i−2ii2i2−i2−i20000
χ2622-22-2-2-22200002-222-2-2-2−2−2220000−2−222−2−22200000000000000−2i2i−i2−i2i2i20000
χ272-22-2-2-22220000-222-2-2-222−22−200002−22−22−22−20000000000002-2002−22−20000
χ282-22-2-2-22220000-222-2-2-222−22−200002−22−22−22−2000000000000-2200−22−220000
χ292-22-2-2-22220000-222-2-2-22−22−220000−22−22−22−220000000000002-200−22−220000
χ302-22-2-2-22220000-222-2-2-22−22−220000−22−22−22−22000000000000-22002−22−20000
χ312-2-22-222-222-2-22-2-2-22-222000022-2-200000000000000000000000000002-200
χ322-2-22-222-222-2-22-2-2-22-222000022-2-20000000000000000000000000000-2200
χ332-2-22-222-22-222-2-2-2-22-2220000-2-222000000002-2002-22-20000000000000000
χ342-2-22-222-22-222-2-2-2-22-2220000-2-22200000000-2200-22-220000000000000000
χ352-2-22-222-2-1-222-2111-11-1-1000011-1-1−i3i3i3−i3i3−i3−i3i32-200-11-11−i3i3−i3i3000000000000
χ362-2-22-222-2-1-222-2111-11-1-1000011-1-1−i3i3i3−i3i3−i3−i3i3-22001-11-1i3−i3i3−i3000000000000
χ372-2-22-222-2-1-222-2111-11-1-1000011-1-1i3−i3−i3i3−i3i3i3−i32-200-11-11i3−i3i3−i3000000000000
χ382-2-22-222-2-1-222-2111-11-1-1000011-1-1i3−i3−i3i3−i3i3i3−i3-22001-11-1−i3i3−i3i3000000000000
χ392-2-2-222-22222-2-2-2-22-222-200002-22-20000000000000000000000002i−2i−2i2i0000
χ402-2-2-222-22222-2-2-2-22-222-200002-22-2000000000000000000000000−2i2i2i−2i0000
χ412-2-2-222-222-2-222-2-22-222-22-2-22-22-222-2-222-2-22000000000000000000000000
χ422-2-2-222-222-2-222-2-22-222-2-222-2-22-22-222-2-222-2000000000000000000000000
χ432-2-2-222-22-1-2-22211-11-1-112-2-221-11-1-111-1-111-100003−3−333−3−33000000000000
χ442-2-2-222-22-1-2-22211-11-1-112-2-221-11-1-111-1-111-10000−333−3−333−3000000000000
χ452-2-2-222-22-1-2-22211-11-1-11-222-21-11-11-1-111-1-1100003−3−33−333−3000000000000
χ462-2-2-222-22-1-2-22211-11-1-11-222-21-11-11-1-111-1-110000−333−33−3−33000000000000
χ4744444444-2-4-4-4-4-2-2-2-2-2-2-20000222200000000000000000000000000000000
χ48444-4-44-4-4-2-44-44-2-2222-2200002-2-2200000000000000000000000000000000
χ4944-44-4-4-44-20000-22-2-22222222−22−220000−2−222−2−222000000000000000000000000
χ5044-44-4-4-44-20000-22-2-2222−22−222222000022−2−222−2−2000000000000000000000000
χ5144-4-44-44-4400004-4-4-44-440000000000000000000000000000000000000000
χ5244-4-44-44-4-20000-2222-22-200000000i6i6−i6−i6−i6−i6i6i6000000000000000000000000
χ5344-4-44-44-4-20000-2222-22-200000000−i6−i6i6i6i6i6−i6−i6000000000000000000000000
χ544-4444-4-4-440000-44-444-4-40000000000000000000000000000000000000000
χ554-4444-4-4-4-200002-22-2-22200000000i6−i6i6−i6−i6i6−i6i6000000000000000000000000
χ564-4444-4-4-4-200002-22-2-22200000000−i6i6−i6i6i6−i6i6−i6000000000000000000000000
χ574-44-4-4-444-200002-2-2222-222−2222−220000−22−22−22−22000000000000000000000000
χ584-44-4-4-444-200002-2-2222-2−2222−222200002−22−22−22−2000000000000000000000000
χ594-4-44-444-4-24-4-44222-22-2-20000-2-22200000000000000000000000000000000
χ604-4-4-444-44-244-4-422-22-2-220000-22-2200000000000000000000000000000000

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