Finite Group Databasebeta

← Group #11773907

Character table — Group #11773907

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222444444444444444444444444444444666666666666888888888888888812121212121212121212121212121212121224242424242424242424242472727272
order12222233444466666666663444466666666612121212121212121212121212121212444412121212121212121212121212121212121212121212121222444466661212121212121212888824242424242424248888
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
χ511111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1
χ611111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111
χ711111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1111111-1-11111-1-1-1-1-1-111
χ811111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-111-1-1-1-1111111-1-1
χ911111111-1-1-1-11111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111i−ii−iii−i−iii−i−ii−ii−i
χ1011111111-1-1-1-11111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111−ii−ii−i−iii−i−iii−ii−ii
χ1111111111-1-1-1-11111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1i−ii−iii−i−iii−i−i−ii−ii
χ1211111111-1-1-1-11111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1−ii−ii−i−iii−i−iiii−ii−i
χ1311111111-1-1-1-111111111111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1i−i−iiii−i−i−i−iiii−i−ii
χ1411111111-1-1-1-111111111111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1−iii−i−i−iiiii−i−i−iii−i
χ1511111111-1-1-1-111111111111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111i−i−iiii−i−i−i−iii−iii−i
χ1611111111-1-1-1-111111111111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111−iii−i−i−iiiii−i−ii−i−ii
χ172222222-122222-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ182222222-122222-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111111110000000000000000
χ192222222-122222-1-1-1-122-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-11111111122222222-1-1-1-1-1-1-1-1-2-2-2-21111-1-1-1-11111-2-222-2-21111-1-1-1-111110000000000000000
χ202222222-122222-1-1-1-122-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1111111112222-2-2-2-211111111-2-2-2-21111-1-1-1-1111122-2-222-1-1-1-11111-1-1-1-10000000000000000
χ212222222-1-2-2-2-22-1-1-1-122-1-1-1-122-2-222-1-1-1-1-1-1-11111-1-1-1-11111-2-2-2-22222-1-1-1-1-1-1-1-1-2-22211111111-1-1-1-1-2-2-2-22211111111-1-1-1-10000000000000000
χ222222222-1-2-2-2-22-1-1-1-122-1-1-1-122-2-222-1-1-1-1-1-1-11111-1-1-1-11111-2-2-2-2-2-2-2-211111111-2-22211111111-1-1-1-12222-2-2-1-1-1-1-1-1-1-111110000000000000000
χ232222222-1-2-2-2-22-1-1-1-122-1-1-1-1-2-22222-1-1-1-1-1-1-111111111-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-122-2-2-1-1-1-11111111122-2-2-2-2-1-1-1-1111111110000000000000000
χ242222222-1-2-2-2-22-1-1-1-122-1-1-1-1-2-22222-1-1-1-1-1-1-111111111-1-1-1-1-2-2-2-2-2-2-2-21111111122-2-2-1-1-1-111111111-2-222221111-1-1-1-1-1-1-1-10000000000000000
χ25222222-122222-12222-1-1222-12222-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002222-1-1-1-1-1-1-1-10000
χ26222222-122222-12222-1-1222-12222-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-2-2111111110000
χ27222222-122222-12222-1-1222-1-2-2-2-2-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-100000000000011111111-1-1-1-1111100000000000000000022-2-2-1-1-1-111110000
χ28222222-122222-12222-1-1222-1-2-2-2-2-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-100000000000011111111-1-1-1-11111000000000000000000-2-2221111-1-1-1-10000
χ29222222-12-2-2-2-2-12222-1-1222-122-2-2-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2111100000000000011-1-111111111-1-1-1-10000000000000000002i−2i2i−2i−i−iii−i−iii0000
χ30222222-12-2-2-2-2-12222-1-1222-122-2-2-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2111100000000000011-1-111111111-1-1-1-1000000000000000000−2i2i−2i2iii−i−iii−i−i0000
χ31222222-12-2-2-2-2-12222-1-1222-1-2-222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222221111000000000000-1-111-1-1-1-1111111110000000000000000002i−2i−2i2i−i−iiiii−i−i0000
χ32222222-12-2-2-2-2-12222-1-1222-1-2-222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222221111000000000000-1-111-1-1-1-111111111000000000000000000−2i2i2i−2iii−i−i−i−iii0000
χ332222-2-22222-2-22-2-2-2-22222220000-2-22-2-2-2-22222-2-20000000022-2-222-2-22222-2-2-2-20000000022-2-20000002-200000022-2-200000000000000000000
χ342222-2-22222-2-22-2-2-2-22222220000-2-22-2-2-2-22222-2-20000000022-2-2-2-222-2-2-2-222220000000022-2-2000000-22000000-2-22200000000000000000000
χ352222-2-222-2-2222-2-2-2-22222220000-2-22-2-2-2-222-2-22200000000-2-22222-2-22222-2-2-2-200000000-2-222000000-22000000-2-22200000000000000000000
χ362222-2-222-2-2222-2-2-2-22222220000-2-22-2-2-2-222-2-22200000000-2-222-2-222-2-2-2-2222200000000-2-2220000002-200000022-2-200000000000000000000
χ372222-2-22-122-2-22111122-1-1-1-10000-2-2-11111-1-1-1-111−i3−i3i3i3−i3−i3i3i322-2-222-2-2-1-1-1-111110000−i3−i3i3i3-1-111−i3−i3i3i3002-200−i3−i3i3i3-1-111−i3−i3i3i30000000000000000
χ382222-2-22-122-2-22111122-1-1-1-10000-2-2-11111-1-1-1-111−i3−i3i3i3−i3−i3i3i322-2-2-2-2221111-1-1-1-10000−i3−i3i3i3-1-111−i3−i3i3i300-2200i3i3−i3−i311-1-1i3i3−i3−i30000000000000000
χ392222-2-22-122-2-22111122-1-1-1-10000-2-2-11111-1-1-1-111i3i3−i3−i3i3i3−i3−i322-2-222-2-2-1-1-1-111110000i3i3−i3−i3-1-111i3i3−i3−i3002-200i3i3−i3−i3-1-111i3i3−i3−i30000000000000000
χ402222-2-22-122-2-22111122-1-1-1-10000-2-2-11111-1-1-1-111i3i3−i3−i3i3i3−i3−i322-2-2-2-2221111-1-1-1-10000i3i3−i3−i3-1-111i3i3−i3−i300-2200−i3−i3i3i311-1-1−i3−i3i3i30000000000000000
χ412222-2-22-1-2-2222111122-1-1-1-10000-2-2-11111-1-111-1-1−i3−i3i3i3i3i3−i3−i3-2-22222-2-2-1-1-1-111110000i3i3−i3−i311-1-1−i3−i3i3i300-2200i3i3−i3−i311-1-1−i3−i3i3i30000000000000000
χ422222-2-22-1-2-2222111122-1-1-1-10000-2-2-11111-1-111-1-1−i3−i3i3i3i3i3−i3−i3-2-222-2-2221111-1-1-1-10000i3i3−i3−i311-1-1−i3−i3i3i3002-200−i3−i3i3i3-1-111i3i3−i3−i30000000000000000
χ432222-2-22-1-2-2222111122-1-1-1-10000-2-2-11111-1-111-1-1i3i3−i3−i3−i3−i3i3i3-2-22222-2-2-1-1-1-111110000−i3−i3i3i311-1-1i3i3−i3−i300-2200−i3−i3i3i311-1-1i3i3−i3−i30000000000000000
χ442222-2-22-1-2-2222111122-1-1-1-10000-2-2-11111-1-111-1-1i3i3−i3−i3−i3−i3i3i3-2-222-2-2221111-1-1-1-10000−i3−i3i3i311-1-1i3i3−i3−i3002-200i3i3−i3−i3-1-111−i3−i3i3i30000000000000000
χ452-22-22-2222i−2i2i−2i-222-2-22-2-22-2200002-2-222-2-22-22i−2i2i−2i000000002i−2i2i−2i000000000000000000002i−2i2i−2i00002-2002i−2i2-22-200002i−2i2i−2i0000000000000000
χ462-22-22-2222i−2i2i−2i-222-2-22-2-22-2200002-2-222-2-22-22i−2i2i−2i000000002i−2i2i−2i000000000000000000002i−2i2i−2i0000-2200−2i2i-22-220000−2i2i−2i2i0000000000000000
χ472-22-22-222−2i2i−2i2i-222-2-22-2-22-2200002-2-222-2-22-2−2i2i−2i2i00000000−2i2i−2i2i00000000000000000000−2i2i−2i2i00002-200−2i2i2-22-20000−2i2i−2i2i0000000000000000
χ482-22-22-222−2i2i−2i2i-222-2-22-2-22-2200002-2-222-2-22-2−2i2i−2i2i00000000−2i2i−2i2i00000000000000000000−2i2i−2i2i0000-22002i−2i-22-2200002i−2i2i−2i0000000000000000
χ492-22-22-22-12i−2i2i−2i-2-1-1112-21-11-100002-21-1-111-11−ii−ii3−33−3−i3i3−i3i32i−2i2i−2i0000−i3−i3i3i3−i3−i3i3i30000−i3i3−i3i3−ii−ii3−33−32-2002i−2i-11-113−33−3−ii−ii0000000000000000
χ502-22-22-22-12i−2i2i−2i-2-1-1112-21-11-100002-21-1-111-11−ii−ii3−33−3−i3i3−i3i32i−2i2i−2i0000i3i3−i3−i3i3i3−i3−i30000−i3i3−i3i3−ii−ii3−33−3-2200−2i2i1-11-1−33−33i−ii−i0000000000000000
χ512-22-22-22-12i−2i2i−2i-2-1-1112-21-11-100002-21-1-111-11−ii−ii−33−33i3−i3i3−i32i−2i2i−2i0000−i3−i3i3i3−i3−i3i3i30000i3−i3i3−i3−ii−ii−33−33-2200−2i2i1-11-13−33−3i−ii−i0000000000000000
χ522-22-22-22-12i−2i2i−2i-2-1-1112-21-11-100002-21-1-111-11−ii−ii−33−33i3−i3i3−i32i−2i2i−2i0000i3i3−i3−i3i3i3−i3−i30000i3−i3i3−i3−ii−ii−33−332-2002i−2i-11-11−33−33−ii−ii0000000000000000
χ532-22-22-22-1−2i2i−2i2i-2-1-1112-21-11-100002-21-1-111-11i−ii−i3−33−3i3−i3i3−i3−2i2i−2i2i0000−i3−i3i3i3−i3−i3i3i30000i3−i3i3−i3i−ii−i3−33−3-22002i−2i1-11-1−33−33−ii−ii0000000000000000
χ542-22-22-22-1−2i2i−2i2i-2-1-1112-21-11-100002-21-1-111-11i−ii−i3−33−3i3−i3i3−i3−2i2i−2i2i0000i3i3−i3−i3i3i3−i3−i30000i3−i3i3−i3i−ii−i3−33−32-200−2i2i-11-113−33−3i−ii−i0000000000000000
χ552-22-22-22-1−2i2i−2i2i-2-1-1112-21-11-100002-21-1-111-11i−ii−i−33−33−i3i3−i3i3−2i2i−2i2i0000−i3−i3i3i3−i3−i3i3i30000−i3i3−i3i3i−ii−i−33−332-200−2i2i-11-11−33−33i−ii−i0000000000000000
χ562-22-22-22-1−2i2i−2i2i-2-1-1112-21-11-100002-21-1-111-11i−ii−i−33−33−i3i3−i3i3−2i2i−2i2i0000i3i3−i3−i3i3i3−i3−i30000−i3i3−i3i3i−ii−i−33−33-22002i−2i1-11-13−33−3−ii−ii0000000000000000
χ572-22-2-22222i−2i−2i2i-2-2-2222-2-22-222i−2i2-2-22-2-2-2222-22i−2i−2i2i2i−2i−2i2i2-2-222i−2i−2i2i0000000000002-22i−2i2-2-222i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000
χ582-22-2-22222i−2i−2i2i-2-2-2222-2-22-22−2i2i-22-22-2-2-2222-22i−2i−2i2i−2i2i2i−2i-222-22i−2i−2i2i000000000000-22−2i2i-222-22i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000
χ592-22-2-2222−2i2i2i−2i-2-2-2222-2-22-222i−2i-22-22-2-2-2222-2−2i2i2i−2i2i−2i−2i2i-222-2−2i2i2i−2i000000000000-222i−2i-222-2−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000
χ602-22-2-2222−2i2i2i−2i-2-2-2222-2-22-22−2i2i2-2-22-2-2-2222-2−2i2i2i−2i−2i2i2i−2i2-2-22−2i2i2i−2i0000000000002-2−2i2i2-2-22−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000
χ612-22-2-222-12i−2i−2i2i-211-1-12-21-11-12i−2i2-2-22111-1-1-11−iii−i−iii−i-111-12i−2i−2i2i0000−i3−i3i3i3i3i3−i3−i32-22i−2i-111-1−iii−i−iii−i000000−i3i3i3−i33−3−333−3−330000000000000000
χ622-22-2-222-12i−2i−2i2i-211-1-12-21-11-12i−2i2-2-22111-1-1-11−iii−i−iii−i-111-12i−2i−2i2i0000i3i3−i3−i3−i3−i3i3i32-22i−2i-111-1−iii−i−iii−i000000i3−i3−i3i3−333−3−333−30000000000000000
χ632-22-2-222-12i−2i−2i2i-211-1-12-21-11-1−2i2i-22-22111-1-1-11−iii−ii−i−ii1-1-112i−2i−2i2i0000−i3−i3i3i3i3i3−i3−i3-22−2i2i1-1-11−iii−ii−i−ii000000i3−i3−i3i33−3−33−333−30000000000000000
χ642-22-2-222-12i−2i−2i2i-211-1-12-21-11-1−2i2i-22-22111-1-1-11−iii−ii−i−ii1-1-112i−2i−2i2i0000i3i3−i3−i3−i3−i3i3i3-22−2i2i1-1-11−iii−ii−i−ii000000−i3i3i3−i3−333−33−3−330000000000000000
χ652-22-2-222-1−2i2i2i−2i-211-1-12-21-11-12i−2i-22-22111-1-1-11i−i−ii−iii−i1-1-11−2i2i2i−2i0000−i3−i3i3i3i3i3−i3−i3-222i−2i1-1-11i−i−ii−iii−i000000i3−i3−i3i3−333−33−3−330000000000000000
χ662-22-2-222-1−2i2i2i−2i-211-1-12-21-11-12i−2i-22-22111-1-1-11i−i−ii−iii−i1-1-11−2i2i2i−2i0000i3i3−i3−i3−i3−i3i3i3-222i−2i1-1-11i−i−ii−iii−i000000−i3i3i3−i33−3−33−333−30000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.