Finite Group Databasebeta

← Group #11808865

Character table — Group #11808865

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111114444444444444444448888888899999999121212121212121212121212121212122424242424242424242424242424242436363636363636363636
order12224444334466666612121212121212121212121212121212222244444444444444444444121212121212121212121212121212124444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ61111111111-1-111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ71111111111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ91111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-11-111-1-111-1-1
χ101111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-1111-1-1-111-1-111
χ111111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-11-1-1-111-1-111
χ121111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1111-111-1-111-1-1
χ131111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1111-1-1-1-111
χ141111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1-11-1-11111-1-1
χ151111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-11-1-11111-1-1
χ161111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1111-1-1-1-111
χ172222222222222222222222222222222222-2-2-2-2-2-2-2-200000000000000000000000000000000-2-200000000
χ182222222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002200000000
χ192222-2-2-2-2222-2222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222200000000000000000000000000000000-2200000000
χ202222-2-2-2-222-22222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000000000002-200000000
χ2122-2-222-2-2220022-2-2-2-22222-2-2-2-20000000022-2-222-2-2000000000000000000000000000000000000002-22-2
χ2222-2-222-2-2220022-2-2-2-22222-2-2-2-20000000022-2-222-2-200000000000000000000000000000000000000-22-22
χ2322-2-222-2-2220022-2-2-2-22222-2-2-2-200000000-2-222-2-22200000000000000000000000000000000002-22-20000
χ2422-2-222-2-2220022-2-2-2-22222-2-2-2-200000000-2-222-2-2220000000000000000000000000000000000-22-220000
χ2522-2-2-2-222220022-2-2-2-2-2-2-2-222220000000022-2-2-2-222000000000000000000000000000000000000002-2-22
χ2622-2-2-2-222220022-2-2-2-2-2-2-2-222220000000022-2-2-2-22200000000000000000000000000000000000000-222-2
χ2722-2-2-2-222220022-2-2-2-2-2-2-2-2222200000000-2-22222-2-200000000000000000000000000000000002-2-220000
χ2822-2-2-2-222220022-2-2-2-2-2-2-2-2222200000000-2-22222-2-20000000000000000000000000000000000-222-20000
χ292-22-22i−2i2i−2i2200-2-222-2-22i2i−2i−2i2i2i−2i−2i000000002-22-22i−2i2i−2i0000000000002-22i−2i0000000000002-22i−2i0000000000
χ302-22-22i−2i2i−2i2200-2-222-2-22i2i−2i−2i2i2i−2i−2i000000002-22-22i−2i2i−2i000000000000-22−2i2i000000000000-22−2i2i0000000000
χ312-22-22i−2i2i−2i2200-2-222-2-22i2i−2i−2i2i2i−2i−2i00000000-22-22−2i2i−2i2i000000002-22i−2i0000000000002-22i−2i00000000000000
χ322-22-22i−2i2i−2i2200-2-222-2-22i2i−2i−2i2i2i−2i−2i00000000-22-22−2i2i−2i2i00000000-22−2i2i000000000000-22−2i2i00000000000000
χ332-22-2−2i2i−2i2i2200-2-222-2-2−2i−2i2i2i−2i−2i2i2i000000002-22-2−2i2i−2i2i0000000000002-2−2i2i0000000000002-2−2i2i0000000000
χ342-22-2−2i2i−2i2i2200-2-222-2-2−2i−2i2i2i−2i−2i2i2i000000002-22-2−2i2i−2i2i000000000000-222i−2i000000000000-222i−2i0000000000
χ352-22-2−2i2i−2i2i2200-2-222-2-2−2i−2i2i2i−2i−2i2i2i00000000-22-222i−2i2i−2i000000002-2−2i2i0000000000002-2−2i2i00000000000000
χ362-22-2−2i2i−2i2i2200-2-222-2-2−2i−2i2i2i−2i−2i2i2i00000000-22-222i−2i2i−2i00000000-222i−2i000000000000-222i−2i00000000000000
χ372-2-222i−2i−2i2i2200-2-2-2-2222i2i−2i−2i−2i−2i2i2i000000002-2-222i−2i−2i2i2i−2i2-20000000000002i−2i2-20000000000000000000000
χ382-2-222i−2i−2i2i2200-2-2-2-2222i2i−2i−2i−2i−2i2i2i000000002-2-222i−2i−2i2i−2i2i-22000000000000−2i2i-220000000000000000000000
χ392-2-222i−2i−2i2i2200-2-2-2-2222i2i−2i−2i−2i−2i2i2i00000000-222-2−2i2i2i−2i00002-22i−2i0000000000002-22i−2i000000000000000000
χ402-2-222i−2i−2i2i2200-2-2-2-2222i2i−2i−2i−2i−2i2i2i00000000-222-2−2i2i2i−2i0000-22−2i2i000000000000-22−2i2i000000000000000000
χ412-2-22−2i2i2i−2i2200-2-2-2-222−2i−2i2i2i2i2i−2i−2i000000002-2-22−2i2i2i−2i2i−2i-220000000000002i−2i-220000000000000000000000
χ422-2-22−2i2i2i−2i2200-2-2-2-222−2i−2i2i2i2i2i−2i−2i000000002-2-22−2i2i2i−2i−2i2i2-2000000000000−2i2i2-20000000000000000000000
χ432-2-22−2i2i2i−2i2200-2-2-2-222−2i−2i2i2i2i2i−2i−2i00000000-222-22i−2i−2i2i00002-2−2i2i0000000000002-2−2i2i000000000000000000
χ442-2-22−2i2i2i−2i2200-2-2-2-222−2i−2i2i2i2i2i−2i−2i00000000-222-22i−2i−2i2i0000-222i−2i000000000000-222i−2i000000000000000000
χ45444444441-2441-21-21-21-21-21-21-211-2-211-2-200000000000000002222222200000000-1-1-1-1-1-1-1-10000000000
χ46444444441-2441-21-21-21-21-21-21-211-2-211-2-20000000000000000-2-2-2-2-2-2-2-200000000111111110000000000
χ47444444441-2-4-41-21-21-21-21-21-21-2-1-122-1-12200000000000000002222-2-2-2-200000000-1-1-1-111110000000000
χ48444444441-2-4-41-21-21-21-21-21-21-2-1-122-1-1220000000000000000-2-2-2-22222000000001111-1-1-1-10000000000
χ4944444444-2144-21-21-21-21-21-21-21-2-211-2-211000000002222222200000000-1-1-1-1-1-1-1-1000000000000000000
χ5044444444-2144-21-21-21-21-21-21-21-2-211-2-21100000000-2-2-2-2-2-2-2-20000000011111111000000000000000000
χ5144444444-21-4-4-21-21-21-21-21-21-2122-1-122-1-1000000002222-2-2-2-200000000-1-1-1-11111000000000000000000
χ5244444444-21-4-4-21-21-21-21-21-21-2122-1-122-1-100000000-2-2-2-22222000000001111-1-1-1-1000000000000000000
χ534444-4-4-4-41-24-41-21-21-2-12-12-12-1211-2-2-1-122000000000000000022-2-222-2-200000000-1-111-1-1110000000000
χ544444-4-4-4-41-24-41-21-21-2-12-12-12-1211-2-2-1-1220000000000000000-2-222-2-2220000000011-1-111-1-10000000000
χ554444-4-4-4-41-2-441-21-21-2-12-12-12-12-1-12211-2-2000000000000000022-2-2-2-22200000000-1-11111-1-10000000000
χ564444-4-4-4-41-2-441-21-21-2-12-12-12-12-1-12211-2-20000000000000000-2-22222-2-20000000011-1-1-1-1110000000000
χ574444-4-4-4-4-214-4-21-21-212-12-12-12-1-2-21122-1-10000000022-2-222-2-200000000-1-111-1-111000000000000000000
χ584444-4-4-4-4-214-4-21-21-212-12-12-12-1-2-21122-1-100000000-2-222-2-2220000000011-1-111-1-1000000000000000000
χ594444-4-4-4-4-21-44-21-21-212-12-12-12-122-1-1-2-2110000000022-2-2-2-22200000000-1-11111-1-1000000000000000000
χ604444-4-4-4-4-21-44-21-21-212-12-12-12-122-1-1-2-21100000000-2-22222-2-20000000011-1-1-1-111000000000000000000
χ614-44-44i−4i4i−4i1-200-121-2-12i−2i−i2ii−2i−i2i3-3003i−3i0000000000000000002-22i−2i2-22i−2i00000000-11−ii-11−ii0000000000
χ624-44-44i−4i4i−4i1-200-121-2-12i−2i−i2ii−2i−i2i3-3003i−3i000000000000000000-22−2i2i-22−2i2i000000001-1i−i1-1i−i0000000000
χ634-44-44i−4i4i−4i1-200-121-2-12i−2i−i2ii−2i−i2i-3300−3i3i0000000000000000002-22i−2i-22−2i2i00000000-11−ii1-1i−i0000000000
χ644-44-44i−4i4i−4i1-200-121-2-12i−2i−i2ii−2i−i2i-3300−3i3i000000000000000000-22−2i2i2-22i−2i000000001-1i−i-11−ii0000000000
χ654-44-4−4i4i−4i4i1-200-121-2-12−i2ii−2i−i2ii−2i3-300−3i3i0000000000000000002-2−2i2i2-2−2i2i00000000-11i−i-11i−i0000000000
χ664-44-4−4i4i−4i4i1-200-121-2-12−i2ii−2i−i2ii−2i3-300−3i3i000000000000000000-222i−2i-222i−2i000000001-1−ii1-1−ii0000000000
χ674-44-4−4i4i−4i4i1-200-121-2-12−i2ii−2i−i2ii−2i-33003i−3i0000000000000000002-2−2i2i-222i−2i00000000-11i−i1-1−ii0000000000
χ684-44-4−4i4i−4i4i1-200-121-2-12−i2ii−2i−i2ii−2i-33003i−3i000000000000000000-222i−2i2-2−2i2i000000001-1−ii-11i−i0000000000
χ694-4-444i−4i−4i4i-21002-12-1-21−2ii2i−i2i−i−2ii003i−3i003-3000000002i−2i2-22-22i−2i00000000−ii-11-11−ii000000000000000000
χ704-4-444i−4i−4i4i-21002-12-1-21−2ii2i−i2i−i−2ii003i−3i003-300000000−2i2i-22-22−2i2i00000000i−i1-11-1i−i000000000000000000
χ714-4-444i−4i−4i4i-21002-12-1-21−2ii2i−i2i−i−2ii00−3i3i00-33000000002i−2i2-2-22−2i2i00000000−ii-111-1i−i000000000000000000
χ724-4-444i−4i−4i4i-21002-12-1-21−2ii2i−i2i−i−2ii00−3i3i00-3300000000−2i2i-222-22i−2i00000000i−i1-1-11−ii000000000000000000
χ734-4-44−4i4i4i−4i-21002-12-1-212i−i−2ii−2ii2i−i003i−3i00-33000000002i−2i-222-2−2i2i00000000−ii1-1-11i−i000000000000000000
χ744-4-44−4i4i4i−4i-21002-12-1-212i−i−2ii−2ii2i−i003i−3i00-3300000000−2i2i2-2-222i−2i00000000i−i-111-1−ii000000000000000000
χ754-4-44−4i4i4i−4i-21002-12-1-212i−i−2ii−2ii2i−i00−3i3i003-3000000002i−2i-22-222i−2i00000000−ii1-11-1−ii000000000000000000
χ764-4-44−4i4i4i−4i-21002-12-1-212i−i−2ii−2ii2i−i00−3i3i003-300000000−2i2i2-22-2−2i2i00000000i−i-11-11i−i000000000000000000
χ7788-8-888-8-82-4002-4-24-242-42-4-24-240000000000000000000000000000000000000000000000000000000000
χ7888-8-888-8-8-4200-424-24-2-42-424-24-20000000000000000000000000000000000000000000000000000000000
χ7988-8-8-8-8882-4002-4-24-24-24-242-42-40000000000000000000000000000000000000000000000000000000000
χ8088-8-8-8-888-4200-424-24-24-24-2-42-420000000000000000000000000000000000000000000000000000000000
χ818-88-88i−8i8i−8i-42004-2-424-2−4i2i4i−2i−4i2i4i−2i0000000000000000000000000000000000000000000000000000000000
χ828-88-8−8i8i−8i8i-42004-2-424-24i−2i−4i2i4i−2i−4i2i0000000000000000000000000000000000000000000000000000000000
χ838-8-888i−8i−8i8i2-400-24-242-42i−4i−2i4i−2i4i2i−4i0000000000000000000000000000000000000000000000000000000000
χ848-8-88−8i8i8i−8i2-400-24-242-4−2i4i2i−4i2i−4i−2i4i0000000000000000000000000000000000000000000000000000000000

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