Finite Group Databasebeta

← Group #11797394

Character table — Group #11797394

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222444444444444444444444444444444666666666666888888888888888812121212121212121212121212121212121224242424242424242424242472727272
order12442334666688881212121212122346666668812121212121212242424242424242424242424444412121212121212126661212122424242424242424242444888812121212242424242424242416161616484848484848484816161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-11-11-1-1111-1-11-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1
χ61111111111111111111111-11-11-1-1111-1-11-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111
χ71111111111111111111111-11-11-1-1111-1-11-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1111111-1-11111-1-1-1-1-1-111
χ81111111111111111111111-11-11-1-1111-1-11-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-111-1-1-1-1111111-1-1
χ9111111111111-1-1-1-1111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1i−ii−iii−i−iii−i−ii−ii−i
χ10111111111111-1-1-1-1111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1−ii−ii−i−iii−i−iii−ii−ii
χ11111111111111-1-1-1-1111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111i−ii−iii−i−iii−i−i−ii−ii
χ12111111111111-1-1-1-1111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111−ii−ii−i−iii−i−iiii−ii−i
χ13111111111111-1-1-1-1111111-11-11-1-1111111-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iiii−i−ii
χ14111111111111-1-1-1-1111111-11-11-1-1111111-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i−iii−i
χ15111111111111-1-1-1-1111111-11-11-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111111111-1-1-1-1i−i−iiii−i−i−i−iii−iii−i
χ16111111111111-1-1-1-1111111-11-11-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111111111-1-1-1-1−iii−i−i−iiiii−i−ii−i−ii
χ17222222-122-122222222-1-1222-12-122-1-1-122-122-1-1-1-122222222-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002222-1-1-1-1-1-1-1-10000
χ18222222-122-122222222-1-1222-12-122-1-1-122-122-1-1-1-122222222-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-2-2111111110000
χ19222222-122-122222222-1-122-2-1-2-1-2-2-1-1-1-2-2-1-2-2-1-1-1-12222-2-2-2-2-1-1-1-100000000000011111111-1-1-1-1111100000000000000000022-2-2-1-1-1-111110000
χ20222222-122-122222222-1-122-2-1-2-1-2-2-1-1-1-2-2-1-2-2-1-1-1-12222-2-2-2-2-1-1-1-100000000000011111111-1-1-1-11111000000000000000000-2-2221111-1-1-1-10000
χ21222222-122-122-2-2-2-222-1-1222-12-122-1-1-1-2-2-122-1-1-1-1-2-2-2-2-2-2-2-21111000000000000-1-1-1-1-1-111111111110000000000000000002i−2i2i−2i−i−iii−i−iii0000
χ22222222-122-122-2-2-2-222-1-1222-12-122-1-1-1-2-2-122-1-1-1-1-2-2-2-2-2-2-2-21111000000000000-1-1-1-1-1-11111111111000000000000000000−2i2i−2i2iii−i−iii−i−i0000
χ23222222-122-122-2-2-2-222-1-122-2-1-2-1-2-2-1-1-122-1-2-2-1-1-1-1-2-2-2-222221111000000000000111111-1-11111-1-1-1-10000000000000000002i−2i−2i2i−i−iiiii−i−i0000
χ24222222-122-122-2-2-2-222-1-122-2-1-2-1-2-2-1-1-122-1-2-2-1-1-1-1-2-2-2-222221111000000000000111111-1-11111-1-1-1-1000000000000000000−2i2i2i−2iii−i−i−i−iii0000
χ2522222-122-12-1-12222-1-122-1-12-122-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12-1-12-1-122-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2622222-122-12-1-12222-1-122-1-12-122-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2111111112-1-12-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111111110000000000000000
χ2722222-122-12-1-12222-1-122-1-1-2-1-2211-1-1-1-2-2211-1-1-1-1-1-1-1-1111122222222-1-1-1-1-1-1-1-1-211-211-2-2-1-1-1-11111-2-222-2-21111-1-1-1-111110000000000000000
χ2822222-122-12-1-12222-1-122-1-1-2-1-2211-1-1-1-2-2211-1-1-1-1-1-1-1-111112222-2-2-2-211111111-211-211-2-2-1-1-1-1111122-2-222-1-1-1-11111-1-1-1-10000000000000000
χ2922222-122-12-1-1-2-2-2-2-1-122-1-12-122-1-1-1-1-1-2-22-1-1-1-1-1-111111111-2-2-2-22222-1-1-1-1-1-1-1-12-1-12-1-1-2-21111111122-2-2-2-2-1-1-1-1111111110000000000000000
χ3022222-122-12-1-1-2-2-2-2-1-122-1-12-122-1-1-1-1-1-2-22-1-1-1-1-1-111111111-2-2-2-2-2-2-2-2111111112-1-12-1-1-2-211111111-2-222221111-1-1-1-1-1-1-1-10000000000000000
χ3122222-122-12-1-1-2-2-2-2-1-122-1-1-2-1-2211-1-1-122211-1-1-1-11111-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-211-211221111-1-1-1-1-2-2-2-22211111111-1-1-1-10000000000000000
χ3222222-122-12-1-1-2-2-2-2-1-122-1-1-2-1-2211-1-1-122211-1-1-1-11111-1-1-1-1-2-2-2-2-2-2-2-211111111-211-211221111-1-1-1-12222-2-2-1-1-1-1-1-1-1-111110000000000000000
χ332222-222-222-2-222-2-22222-2-2020-200-2-2200-200-2-22222-2-2000022-2-20000000000000000000022-2-200002i−2i002i−2i2i2i−2i−2i00002i2i−2i−2i0000000000000000
χ342222-222-222-2-222-2-22222-2-2020-200-2-2200-200-2-22222-2-2000022-2-20000000000000000000022-2-20000−2i2i00−2i2i−2i−2i2i2i0000−2i−2i2i2i0000000000000000
χ352222-222-222-2-2-2-2222222-2-2020-200-2-2200-200-2-222-2-2220000-2-22200000000000000000000-2-22200002i−2i00−2i2i2i2i−2i−2i0000−2i−2i2i2i0000000000000000
χ362222-222-222-2-2-2-2222222-2-2020-200-2-2200-200-2-222-2-2220000-2-22200000000000000000000-2-2220000−2i2i002i−2i−2i−2i2i2i00002i2i−2i−2i0000000000000000
χ372222-2-12-2-121122-2-2-1-122110-10-2−i3i311-100-2−i3i311-1-1-1-111−i3−i3i3i322-2-200003333−3−3−3−30−i3i30−i3i300-1-111−i3−i3i3i32i−2i002i−2i−i−iii33−3−3−i−iii0000000000000000
χ382222-2-12-2-121122-2-2-1-122110-10-2−i3i311-100-2−i3i311-1-1-1-111−i3−i3i3i322-2-20000−3−3−3−333330−i3i30−i3i300-1-111−i3−i3i3i3−2i2i00−2i2iii−i−i−3−333ii−i−i0000000000000000
χ392222-2-12-2-121122-2-2-1-122110-10-2i3−i311-100-2i3−i311-1-1-1-111i3i3−i3−i322-2-200003333−3−3−3−30i3−i30i3−i300-1-111i3i3−i3−i3−2i2i00−2i2iii−i−i33−3−3ii−i−i0000000000000000
χ402222-2-12-2-121122-2-2-1-122110-10-2i3−i311-100-2i3−i311-1-1-1-111i3i3−i3−i322-2-20000−3−3−3−333330i3−i30i3−i300-1-111i3i3−i3−i32i−2i002i−2i−i−iii−3−333−i−iii0000000000000000
χ412222-2-12-2-1211-2-222-1-122110-10-2−i3i311-100-2−i3i311-1-111-1-1i3i3−i3−i3-2-22200003333−3−3−3−30−i3i30−i3i30011-1-1i3i3−i3−i32i−2i00−2i2i−i−iii−3−333ii−i−i0000000000000000
χ422222-2-12-2-1211-2-222-1-122110-10-2−i3i311-100-2−i3i311-1-111-1-1i3i3−i3−i3-2-2220000−3−3−3−333330−i3i30−i3i30011-1-1i3i3−i3−i3−2i2i002i−2iii−i−i33−3−3−i−iii0000000000000000
χ432222-2-12-2-1211-2-222-1-122110-10-2i3−i311-100-2i3−i311-1-111-1-1−i3−i3i3i3-2-22200003333−3−3−3−30i3−i30i3−i30011-1-1−i3−i3i3i3−2i2i002i−2iii−i−i−3−333−i−iii0000000000000000
χ442222-2-12-2-1211-2-222-1-122110-10-2i3−i311-100-2i3−i311-1-111-1-1−i3−i3i3i3-2-2220000−3−3−3−333330i3−i30i3−i30011-1-1−i3−i3i3i32i−2i00−2i2i−i−iii33−3−3ii−i−i0000000000000000
χ4522-2-2222-222222i−2i2i−2i-2-2-2-2-2-222-22222222i−2i-2-2-2-2-2-2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000000000222-2-2-22i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000
χ4622-2-2222-222222i−2i2i−2i-2-2-2-2-2-2-2222-2-2222−2i2i-222-2-2-2-22i−2i2i−2i−2i2i−2i2i2i−2i2i−2i000000000000-2-2-2222−2i2i2i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000
χ4722-2-2222-22222−2i2i−2i2i-2-2-2-2-2-222-2222222−2i2i-2-2-2-2-2-2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000000000222-2-2-2−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000
χ4822-2-2222-22222−2i2i−2i2i-2-2-2-2-2-2-2222-2-22222i−2i-222-2-2-2-2−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i000000000000-2-2-22222i−2i−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000
χ4922-2-222-1-22-1222i−2i2i−2i-2-211-2-22-1-2-122-1-1-12i−2i1-2-211112i−2i2i−2i2i−2i2i−2i−ii−ii000000000000-1-1-1111−ii−ii−ii−ii−ii0000000000000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000
χ5022-2-222-1-22-1222i−2i2i−2i-2-211-2-22-1-2-122-1-1-12i−2i1-2-211112i−2i2i−2i2i−2i2i−2i−ii−ii000000000000-1-1-1111−ii−ii−ii−ii−ii0000000000000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000
χ5122-2-222-1-22-1222i−2i2i−2i-2-211-2-2-2-12-1-2-2-1-1-1−2i2i12211112i−2i2i−2i−2i2i−2i2i−ii−ii000000000000111-1-1-1i−i−ii−iii−ii−i0000000000000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000
χ5222-2-222-1-22-1222i−2i2i−2i-2-211-2-2-2-12-1-2-2-1-1-1−2i2i12211112i−2i2i−2i−2i2i−2i2i−ii−ii000000000000111-1-1-1i−i−ii−iii−ii−i0000000000000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000
χ5322-2-222-1-22-122−2i2i−2i2i-2-211-2-22-1-2-122-1-1-1−2i2i1-2-21111−2i2i−2i2i−2i2i−2i2ii−ii−i000000000000-1-1-1111i−ii−ii−ii−ii−i0000000000000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000
χ5422-2-222-1-22-122−2i2i−2i2i-2-211-2-22-1-2-122-1-1-1−2i2i1-2-21111−2i2i−2i2i−2i2i−2i2ii−ii−i000000000000-1-1-1111i−ii−ii−ii−ii−i0000000000000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000
χ5522-2-222-1-22-122−2i2i−2i2i-2-211-2-2-2-12-1-2-2-1-1-12i−2i1221111−2i2i−2i2i2i−2i2i−2ii−ii−i000000000000111-1-1-1−iii−ii−i−ii−ii0000000000000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000
χ5622-2-222-1-22-122−2i2i−2i2i-2-211-2-2-2-12-1-2-2-1-1-12i−2i1221111−2i2i−2i2i2i−2i2i−2ii−ii−i000000000000111-1-1-1−iii−ii−i−ii−ii0000000000000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000
χ5722-2-22-12-2-12-1-12i−2i2i−2i11-2-2112-1-22-1-1-1-1-12i−2i-2111111−ii−ii−ii−ii2i−2i2i−2i0000−i3−i3i3i3−i3−i3i3i32-1-1-2112i−2i−ii−ii−ii−ii000000−i3i3−i3i33−33−33−33−30000000000000000
χ5822-2-22-12-2-12-1-12i−2i2i−2i11-2-2112-1-22-1-1-1-1-12i−2i-2111111−ii−ii−ii−ii2i−2i2i−2i0000i3i3−i3−i3i3i3−i3−i32-1-1-2112i−2i−ii−ii−ii−ii000000i3−i3i3−i3−33−33−33−330000000000000000
χ5922-2-22-12-2-12-1-12i−2i2i−2i11-2-211-2-12211-1-1-1−2i2i-2-1-11111−ii−iii−ii−i2i−2i2i−2i0000−i3−i3i3i3−i3−i3i3i3-2112-1-1−2i2i−ii−iii−ii−i000000i3−i3i3−i33−33−3−33−330000000000000000
χ6022-2-22-12-2-12-1-12i−2i2i−2i11-2-211-2-12211-1-1-1−2i2i-2-1-11111−ii−iii−ii−i2i−2i2i−2i0000i3i3−i3−i3i3i3−i3−i3-2112-1-1−2i2i−ii−iii−ii−i000000−i3i3−i3i3−33−333−33−30000000000000000
χ6122-2-22-12-2-12-1-1−2i2i−2i2i11-2-2112-1-22-1-1-1-1-1−2i2i-2111111i−ii−ii−ii−i−2i2i−2i2i0000−i3−i3i3i3−i3−i3i3i32-1-1-211−2i2ii−ii−ii−ii−i000000−i3i3−i3i3−33−33−33−330000000000000000
χ6222-2-22-12-2-12-1-1−2i2i−2i2i11-2-2112-1-22-1-1-1-1-1−2i2i-2111111i−ii−ii−ii−i−2i2i−2i2i0000i3i3−i3−i3i3i3−i3−i32-1-1-211−2i2ii−ii−ii−ii−i000000i3−i3i3−i33−33−33−33−30000000000000000
χ6322-2-22-12-2-12-1-1−2i2i−2i2i11-2-211-2-12211-1-1-12i−2i-2-1-11111i−ii−i−ii−ii−2i2i−2i2i0000−i3−i3i3i3−i3−i3i3i3-2112-1-12i−2ii−ii−i−ii−ii000000i3−i3i3−i3−33−333−33−30000000000000000
χ6422-2-22-12-2-12-1-1−2i2i−2i2i11-2-211-2-12211-1-1-12i−2i-2-1-11111i−ii−i−ii−ii−2i2i−2i2i0000i3i3−i3−i3i3i3−i3−i3-2112-1-12i−2ii−ii−i−ii−ii000000−i3i3−i3i33−33−3−33−330000000000000000
χ6522-2-2-222222-2-22i−2i−2i2i-2-2-2-222020-200-2-220020022-2-22i−2i−2i2i00002i−2i−2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i000000002i−2i−2i2i0000002-2000000-222-200000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.