Finite Group Databasebeta

← Group #79747

Character table — Group #79747

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111111112222222222224444444444444444444466668888888888121212121212121212122424
order122244443444466612121212444488881212121224242424242424244444441212121212121212222444888844
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1
χ611111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-11-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1111111-1-1
χ91111-1-1-1-11-1-111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111-1-11-111-1-111-1-1111-1-1-111-1-11-1
χ101111-1-1-1-11-1-111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1111-111-1-111-1-1-1-1-1111-1-111-11
χ111111-1-1-1-11-1-111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1111111-1-1-1111-1-1-1-111111-1-1-1-1-111-11
χ121111-1-1-1-11-1-111111-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-111-1111-1-1-1-111-1-1-111111-1-11-1
χ131111-1-1-1-11-1-111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-11-1-111-1-1111-1-1-11111-1-1-11
χ141111-1-1-1-11-1-111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-11-1-111-1-111-1111-1-1-1-1111-1
χ151111-1-1-1-11-1-111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1111111-1-11-1-1-11111-1-11-1-1-111-1-1111-1
χ161111-1-1-1-11-1-111111-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1111-1-1-11111-1-1-1111-1-111-1-1-11
χ17222222222-2-2-2-2222222200000000-2-2-2-20000000022220000000000-200-200000000
χ18222222222-2-2-2-2222222200000000-2-2-2-200000000-2-2-2-20000000000200200000000
χ1922222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-1000000000000
χ2022222222-12222-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1111111110000-2-2-1-1-1-11111000000000000
χ2122222222-12222-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-10000-2-211111111000000000000
χ2222222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111110000221111-1-1-1-1000000000000
χ232222-2-2-2-2222-2-2222-2-2-2-20000000022-2-20000000022-2-20000000000-200200000000
χ242222-2-2-2-2222-2-2222-2-2-2-20000000022-2-200000000-2-2220000000000200-200000000
χ252222-2-2-2-2-1-2-222-1-1-1111122-2-222-2-211-1-1-1-1-1-1111100002-2-1-111-1-111000000000000
χ262222-2-2-2-2-1-2-222-1-1-1111122-2-2-2-22211-1-11111-1-1-1-10000-22-1-11111-1-1000000000000
χ272222-2-2-2-2-1-2-222-1-1-11111-2-22222-2-211-1-1-1-1-1-111110000-2211-1-111-1-1000000000000
χ282222-2-2-2-2-1-2-222-1-1-11111-2-222-2-22211-1-11111-1-1-1-100002-211-1-1-1-111000000000000
χ292-22-22i2i−2i−2i20000-22-22i2i−2i−2i00002−2−i2i2000022−2−2−i2−i2i2i22i−2i2-20000000000000000−i2i22−200
χ302-22-22i2i−2i−2i20000-22-22i2i−2i−2i00002−2−i2i2000022−2−2−i2−i2i2i2−2i2i-220000000000000000i2−i2−2200
χ312-22-22i2i−2i−2i20000-22-22i2i−2i−2i0000−22i2−i20000−2−222i2i2−i2−i22i−2i2-20000000000000000i2−i2−2200
χ322-22-22i2i−2i−2i20000-22-22i2i−2i−2i0000−22i2−i20000−2−222i2i2−i2−i2−2i2i-220000000000000000−i2i22−200
χ332-22-2−2i−2i2i2i20000-22-2−2i−2i2i2i00002−2i2−i2000022−2−2i2i2−i2−i22i−2i-220000000000000000−i2i2−2200
χ342-22-2−2i−2i2i2i20000-22-2−2i−2i2i2i00002−2i2−i2000022−2−2i2i2−i2−i2−2i2i2-20000000000000000i2−i22−200
χ352-22-2−2i−2i2i2i20000-22-2−2i−2i2i2i0000−22−i2i20000−2−222−i2−i2i2i22i−2i-220000000000000000i2−i22−200
χ362-22-2−2i−2i2i2i20000-22-2−2i−2i2i2i0000−22−i2i20000−2−222−i2−i2i2i2−2i2i2-20000000000000000−i2i2−2200
χ372-2-222i−2i2i−2i22i−2i2-2-2-222i−2i2i−2i000000002i−2i2-2000000000000000000000002-202i−2i000000
χ382-2-222i−2i2i−2i22i−2i2-2-2-222i−2i2i−2i000000002i−2i2-200000000000000000000000-220−2i2i000000
χ392-2-222i−2i2i−2i2−2i2i-22-2-222i−2i2i−2i2-22i−2i0000−2i2i-22000000000000002-22i−2i0000000000000000
χ402-2-222i−2i2i−2i2−2i2i-22-2-222i−2i2i−2i-22−2i2i0000−2i2i-2200000000000000-22−2i2i0000000000000000
χ412-2-222i−2i2i−2i-1−2i2i-2211-1−ii−ii2-22i−2i0000i−i1-1−i3i3−i3i33−33−3000000-11−ii−i3i33−3000000000000
χ422-2-222i−2i2i−2i-1−2i2i-2211-1−ii−ii2-22i−2i0000i−i1-1i3−i3i3−i3−33−33000000-11−iii3−i3−33000000000000
χ432-2-222i−2i2i−2i-1−2i2i-2211-1−ii−ii-22−2i2i0000i−i1-1−i3i3−i3i33−33−30000001-1i−ii3−i3−33000000000000
χ442-2-222i−2i2i−2i-1−2i2i-2211-1−ii−ii-22−2i2i0000i−i1-1i3−i3i3−i3−33−330000001-1i−i−i3i33−3000000000000
χ452-2-22−2i2i−2i2i22i−2i-22-2-22−2i2i−2i2i2-2−2i2i00002i−2i-22000000000000002-2−2i2i0000000000000000
χ462-2-22−2i2i−2i2i22i−2i-22-2-22−2i2i−2i2i-222i−2i00002i−2i-2200000000000000-222i−2i0000000000000000
χ472-2-22−2i2i−2i2i2−2i2i2-2-2-22−2i2i−2i2i00000000−2i2i2-2000000000000000000000002-20−2i2i000000
χ482-2-22−2i2i−2i2i2−2i2i2-2-2-22−2i2i−2i2i00000000−2i2i2-200000000000000000000000-2202i−2i000000
χ492-2-22−2i2i−2i2i-12i−2i-2211-1i−ii−i2-2−2i2i0000−ii1-1−i3i3−i3i3−33−33000000-11i−i−i3i3−33000000000000
χ502-2-22−2i2i−2i2i-12i−2i-2211-1i−ii−i2-2−2i2i0000−ii1-1i3−i3i3−i33−33−3000000-11i−ii3−i33−3000000000000
χ512-2-22−2i2i−2i2i-12i−2i-2211-1i−ii−i-222i−2i0000−ii1-1−i3i3−i3i3−33−330000001-1−iii3−i33−3000000000000
χ522-2-22−2i2i−2i2i-12i−2i-2211-1i−ii−i-222i−2i0000−ii1-1i3−i3i3−i33−33−30000001-1−ii−i3i3−33000000000000
χ5344444444-2-4-4-4-4-2-2-2-2-2-2-20000000022220000000000000000000000000000000000
χ544444-4-4-4-4-244-4-4-2-2-2222200000000-2-2220000000000000000000000000000000000
χ5544-4-44-4-44400004-4-44-4-440000000000000000000000000000000000000000000000
χ5644-4-44-4-44-20000-222-222-2000000000000i6−i6−i6i6−i6i6i6−i600000000000000000000000000
χ5744-4-44-4-44-20000-222-222-2000000000000−i6i6i6−i6i6−i6−i6i600000000000000000000000000
χ5844-4-4-444-4400004-4-4-444-40000000000000000000000000000000000000000000000
χ5944-4-4-444-4-20000-2222-2-22000000000000i6−i6−i6i6i6−i6−i6i600000000000000000000000000
χ6044-4-4-444-4-20000-2222-2-22000000000000−i6i6i6−i6−i6i6i6−i600000000000000000000000000
χ614-44-44i4i−4i−4i-200002-22−2i−2i2i2i000022−22−2i22i20000−2−222i2i2−i2−i200000000000000000000000000
χ624-44-44i4i−4i−4i-200002-22−2i−2i2i2i0000−22222i2−2i2000022−2−2−i2−i2i2i200000000000000000000000000
χ634-44-4−4i−4i4i4i-200002-222i2i−2i−2i000022−222i2−2i20000−2−222−i2−i2i2i200000000000000000000000000
χ644-44-4−4i−4i4i4i-200002-222i2i−2i−2i0000−2222−2i22i2000022−2−2i2i2−i2−i200000000000000000000000000
χ654-4-444i−4i4i−4i-24i−4i4-422-2−2i2i−2i2i00000000−2i2i-220000000000000000000000000000000000
χ664-4-44−4i4i−4i4i-2−4i4i4-422-22i−2i2i−2i000000002i−2i-220000000000000000000000000000000000

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