Finite Group Databasebeta

← Group #11774666

Character table — Group #11774666

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111444444444444444444888888881212121212121212181818181818181824242424242424242424242424242424242424243636363636363636
order12224444233466666612121212121212126666121212122244444444444444668888121212121212242424242424242488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111-111-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ611111111-111-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111
χ711111111-111-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111
χ811111111-111-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111i−ii−i11-1-1-1-1ii−i−iii−i−iii−i−iii−i−i
χ101111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111−ii−ii11-1-1-1-1−i−iii−i−iii−i−iii−i−iii
χ111111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1i−ii−i-1-11111ii−i−iii−i−i−i−iii−i−iii
χ121111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1−ii−ii-1-11111−i−iii−i−iiiii−i−iii−i−i
χ131111-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-111i−i−ii-1-111-1-1ii−i−i−i−iiiii−i−i−i−iii
χ141111-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-111−iii−i-1-111-1-1−i−iiiii−i−i−i−iiiii−i−i
χ151111-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1-1-1i−i−ii11-1-111ii−i−i−i−iii−i−iiiii−i−i
χ161111-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1-1-1−iii−i11-1-111−i−iiiii−i−iii−i−i−i−iii
χ17222222222222222222222222222222222200000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ1822222222-222-222222222222222-2-2-2-2-2-2-2-200000000-2-22222-2-20000000000000000000000000000
χ192222-2-2-2-2222-2222222-2-2-2-2-2-2-2-22222-2-2-2-200000000-2-2-2-222220000000000000000000000000000
χ202222-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-2222200000000-2-222-2-2220000000000000000000000000000
χ212-22-22i−2i2i−2i02202-2-22-2-22i−2i2i2i−2i−2i2i−2i0000000000000000002i−2i2-200000000000000000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i
χ222-22-22i−2i2i−2i02202-2-22-2-22i−2i2i2i−2i−2i2i−2i0000000000000000002i−2i2-20000000000000000000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i
χ232-22-22i−2i2i−2i02202-2-22-2-22i−2i2i2i−2i−2i2i−2i000000000000000000−2i2i-2200000000000000000000001+i−1−i1−i−1+i−1+i1−i−1−i1+i
χ242-22-22i−2i2i−2i02202-2-22-2-22i−2i2i2i−2i−2i2i−2i000000000000000000−2i2i-220000000000000000000000−1−i1+i−1+i1−i1−i−1+i1+i−1−i
χ252-22-2−2i2i−2i2i02202-2-22-2-2−2i2i−2i−2i2i2i−2i2i0000000000000000002i−2i-2200000000000000000000001−i−1+i1+i−1−i−1−i1+i−1+i1−i
χ262-22-2−2i2i−2i2i02202-2-22-2-2−2i2i−2i−2i2i2i−2i2i0000000000000000002i−2i-220000000000000000000000−1+i1−i−1−i1+i1+i−1−i1−i−1+i
χ272-22-2−2i2i−2i2i02202-2-22-2-2−2i2i−2i−2i2i2i−2i2i000000000000000000−2i2i2-200000000000000000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i
χ282-22-2−2i2i−2i2i02202-2-22-2-2−2i2i−2i−2i2i2i−2i2i000000000000000000−2i2i2-20000000000000000000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i
χ292-2-222i−2i−2i2i0220-22-2-22-22i−2i2i−2i2i−2i−2i2i0000000000002-22i−2i2-200002i−2i0000002-22i−2i000000000000000000
χ302-2-222i−2i−2i2i0220-22-2-22-22i−2i2i−2i2i−2i−2i2i000000000000-22−2i2i2-200002i−2i000000-22−2i2i000000000000000000
χ312-2-222i−2i−2i2i0220-22-2-22-22i−2i2i−2i2i−2i−2i2i000000002-22i−2i0000-220000−2i2i2-2000000002i−2i0000000000000000
χ322-2-222i−2i−2i2i0220-22-2-22-22i−2i2i−2i2i−2i−2i2i00000000-22−2i2i0000-220000−2i2i-2200000000−2i2i0000000000000000
χ332-2-22−2i2i2i−2i0220-22-2-22-2−2i2i−2i2i−2i2i2i−2i0000000000002-2−2i2i2-20000−2i2i0000002-2−2i2i000000000000000000
χ342-2-22−2i2i2i−2i0220-22-2-22-2−2i2i−2i2i−2i2i2i−2i000000000000-222i−2i2-20000−2i2i000000-222i−2i000000000000000000
χ352-2-22−2i2i2i−2i0220-22-2-22-2−2i2i−2i2i−2i2i2i−2i000000002-2−2i2i0000-2200002i−2i2-200000000−2i2i0000000000000000
χ362-2-22−2i2i2i−2i0220-22-2-22-2−2i2i−2i2i−2i2i2i−2i00000000-222i−2i0000-2200002i−2i-22000000002i−2i0000000000000000
χ374444444441-24111-2-2-211-2-2-2-21111-2-211-2-20000000000000000002222000000-1-1-1-1-1-1-1-100000000
χ384444444441-24111-2-2-211-2-2-2-21111-2-211-2-2000000000000000000-2-2-2-20000001111111100000000
χ39444444444-214-2-2-2111-2-21111-2-2-2-211-2-2112222222200000000-1-10000-1-1-1-1-1-10000000000000000
χ40444444444-214-2-2-2111-2-21111-2-2-2-211-2-211-2-2-2-2-2-2-2-2000000001100001111110000000000000000
χ4144444444-41-2-4111-2-2-211-2-2-2-211-1-122-1-12200000000000000000022-2-2000000-1-1-1-1111100000000
χ4244444444-41-2-4111-2-2-211-2-2-2-211-1-122-1-122000000000000000000-2-2220000001111-1-1-1-100000000
χ4344444444-4-21-4-2-2-2111-2-21111-2-222-1-122-1-12222-2-2-2-200000000-1-100001111-1-10000000000000000
χ4444444444-4-21-4-2-2-2111-2-21111-2-222-1-122-1-1-2-2-2-2222200000000110000-1-1-1-1110000000000000000
χ454444-4-4-4-441-2-4111-2-2-2-1-12222-1-111-2-2-1-1220000000000000000002i−2i2i−2i000000−i−iii−i−iii00000000
χ464444-4-4-4-441-2-4111-2-2-2-1-12222-1-111-2-2-1-122000000000000000000−2i2i−2i2i000000ii−i−iii−i−i00000000
χ474444-4-4-4-44-21-4-2-2-211122-1-1-1-122-2-21122-1-122-2-222-2-200000000-1-10000-1-111110000000000000000
χ484444-4-4-4-44-21-4-2-2-211122-1-1-1-122-2-21122-1-1-2-222-2-2220000000011000011-1-1-1-10000000000000000
χ494444-4-4-4-4-41-24111-2-2-2-1-12222-1-1-1-12211-2-20000000000000000002i−2i−2i2i000000−i−iiiii−i−i00000000
χ504444-4-4-4-4-41-24111-2-2-2-1-12222-1-1-1-12211-2-2000000000000000000−2i2i2i−2i000000ii−i−i−i−iii00000000
χ514444-4-4-4-4-4-214-2-2-211122-1-1-1-12222-1-1-2-21122-2-2-2-22200000000-1-1000011-1-1110000000000000000
χ524444-4-4-4-4-4-214-2-2-211122-1-1-1-12222-1-1-2-211-2-22222-2-200000000110000-1-111-1-10000000000000000
χ5344-4-444-4-401-20-1-1122-211-222-2-1-13-3003-30000000000000000000000000000003−33−33−33−300000000
χ5444-4-444-4-401-20-1-1122-211-222-2-1-13-3003-3000000000000000000000000000000−33−33−33−3300000000
χ5544-4-444-4-401-20-1-1122-211-222-2-1-1-3300-330000000000000000000000000000003−33−3−33−3300000000
χ5644-4-444-4-401-20-1-1122-211-222-2-1-1-3300-33000000000000000000000000000000−33−333−33−300000000
χ5744-4-444-4-40440-4-44-4-44444-4-44-4-40000000000000000000000000000000000000000000000000000
χ5844-4-4-4-44401-20-1-1122-2-1-12-2-22113-300-33000000000000000000000000000000−i3i3i3−i3−i3i3i3−i300000000
χ5944-4-4-4-44401-20-1-1122-2-1-12-2-22113-300-33000000000000000000000000000000i3−i3−i3i3i3−i3−i3i300000000
χ6044-4-4-4-44401-20-1-1122-2-1-12-2-2211-33003-3000000000000000000000000000000−i3i3i3−i3i3−i3−i3i300000000
χ6144-4-4-4-44401-20-1-1122-2-1-12-2-2211-33003-3000000000000000000000000000000i3−i3−i3i3−i3i3i3−i300000000
χ6244-4-4-4-4440440-4-44-4-44-4-4-444-4440000000000000000000000000000000000000000000000000000
χ634-4-444i−4i−4i4i0-2102-22-11-1−2i2ii−ii−i2i−2i003-3003i−3i2-22i−2i2-22i−2i00000000-110000-11−ii−ii0000000000000000
χ644-4-444i−4i−4i4i0-2102-22-11-1−2i2ii−ii−i2i−2i003-3003i−3i-22−2i2i-22−2i2i000000001-100001-1i−ii−i0000000000000000
χ654-4-444i−4i−4i4i0-2102-22-11-1−2i2ii−ii−i2i−2i00-3300−3i3i2-22i−2i-22−2i2i00000000-1100001-1i−i−ii0000000000000000
χ664-4-444i−4i−4i4i0-2102-22-11-1−2i2ii−ii−i2i−2i00-3300−3i3i-22−2i2i2-22i−2i000000001-10000-11−iii−i0000000000000000
χ674-4-44−4i4i4i−4i0-2102-22-11-12i−2i−ii−ii−2i2i003-300−3i3i2-2−2i2i2-2−2i2i00000000-110000-11i−ii−i0000000000000000
χ684-4-44−4i4i4i−4i0-2102-22-11-12i−2i−ii−ii−2i2i003-300−3i3i-222i−2i-222i−2i000000001-100001-1−ii−ii0000000000000000
χ694-4-44−4i4i4i−4i0-2102-22-11-12i−2i−ii−ii−2i2i00-33003i−3i2-2−2i2i-222i−2i00000000-1100001-1−iii−i0000000000000000
χ704-4-44−4i4i4i−4i0-2102-22-11-12i−2i−ii−ii−2i2i00-33003i−3i-222i−2i2-2−2i2i000000001-10000-11i−i−ii0000000000000000
χ7188-8-888-8-80-42044-4-2-22-4-42-2-22440000000000000000000000000000000000000000000000000000
χ7288-8-8-8-8880-42044-4-2-2244-222-2-4-40000000000000000000000000000000000000000000000000000
χ738-88-88i−8i8i−8i02-402-2-2-4442i−2i−4i−4i4i4i2i−2i0000000000000000000000000000000000000000000000000000
χ748-88-88i−8i8i−8i0-420-4442-2-2−4i4i2i2i−2i−2i−4i4i0000000000000000000000000000000000000000000000000000
χ758-88-8−8i8i−8i8i02-402-2-2-444−2i2i4i4i−4i−4i−2i2i0000000000000000000000000000000000000000000000000000
χ768-88-8−8i8i−8i8i0-420-4442-2-24i−4i−2i−2i2i2i4i−4i0000000000000000000000000000000000000000000000000000
χ778-8-888i−8i−8i8i02-40-22-24-442i−2i−4i4i−4i4i−2i2i0000000000000000000000000000000000000000000000000000
χ788-8-88−8i8i8i−8i02-40-22-24-44−2i2i4i−4i4i−4i2i−2i0000000000000000000000000000000000000000000000000000

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